- convert_to_radiansFalseIf true, the value you entered will be multiplied by Pi/180 before passing to the Plasticity algorithms
Default:False
C++ Type:bool
Description:If true, the value you entered will be multiplied by Pi/180 before passing to the Plasticity algorithms
 - execute_onTIMESTEP_ENDThe list of flag(s) indicating when this object should be executed, the available options include NONE, INITIAL, LINEAR, NONLINEAR, TIMESTEP_END, TIMESTEP_BEGIN, FINAL, CUSTOM.
Default:TIMESTEP_END
C++ Type:ExecFlagEnum
Description:The list of flag(s) indicating when this object should be executed, the available options include NONE, INITIAL, LINEAR, NONLINEAR, TIMESTEP_END, TIMESTEP_BEGIN, FINAL, CUSTOM.
 - value1The value of the parameter for all internal parameter. This is perfect plasticity - there is no hardening.
Default:1
C++ Type:double
Description:The value of the parameter for all internal parameter. This is perfect plasticity - there is no hardening.
 
TensorMechanicsHardeningConstant
The TensorMechanicsHardeningConstant has not been documented. The content listed below should be used as a starting point for documenting the class, which includes the typical automatic documentation associated with a MooseObject; however, what is contained is ultimately determined by what is necessary to make the documentation clear for users.
No hardening - the parameter is independent of the internal parameter(s)
Overview
Example Input File Syntax
Input 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
Options:
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>
Options:
Description:Adds user-defined labels for accessing object parameters via control logic.
 - enableTrueSet the enabled status of the MooseObject.
Default:True
C++ Type:bool
Options:
Description:Set the enabled status of the MooseObject.
 - force_preauxFalseForces the GeneralUserObject to be executed in PREAUX
Default:False
C++ Type:bool
Options:
Description:Forces the GeneralUserObject to be executed in PREAUX
 - force_preicFalseForces the GeneralUserObject to be executed in PREIC during initial setup
Default:False
C++ Type:bool
Options:
Description:Forces the GeneralUserObject to be executed in PREIC during initial setup
 - 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
Options:
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/tensor_mechanics/test/tests/jacobian/tensile_update4.i)
 - (modules/tensor_mechanics/test/tests/mohr_coulomb/small_deform5.i)
 - (modules/tensor_mechanics/test/tests/weak_plane_tensile/small_deform1.i)
 - (modules/tensor_mechanics/test/tests/jacobian/cwp01.i)
 - (modules/tensor_mechanics/test/tests/capped_mohr_coulomb/small_deform2.i)
 - (modules/tensor_mechanics/test/tests/capped_mohr_coulomb/small_deform1.i)
 - (modules/tensor_mechanics/test/tests/drucker_prager/small_deform3_inner_edge.i)
 - (modules/tensor_mechanics/test/tests/mohr_coulomb/random_planar.i)
 - (modules/tensor_mechanics/test/tests/j2_plasticity/hard1.i)
 - (modules/tensor_mechanics/test/tests/multi/mc_wpt_1.i)
 - (modules/tensor_mechanics/test/tests/capped_weak_plane/small_deform_cosserat4.i)
 - (modules/tensor_mechanics/test/tests/capped_weak_plane/pull_and_shear_1step.i)
 - (modules/tensor_mechanics/test/tests/jacobian/mc_update16.i)
 - (modules/tensor_mechanics/test/tests/multi/special_rock1.i)
 - (modules/tensor_mechanics/test/tests/mohr_coulomb/uni_axial2_planar.i)
 - (modules/tensor_mechanics/test/tests/jacobian/cwp09.i)
 - (modules/tensor_mechanics/test/tests/jacobian/mc_update13.i)
 - (modules/tensor_mechanics/test/tests/capped_drucker_prager/small_deform2_lode_zero.i)
 - (modules/tensor_mechanics/test/tests/jacobian/mc_update33.i)
 - (modules/tensor_mechanics/test/tests/tensile/planar3.i)
 - (modules/tensor_mechanics/test/tests/tensile/small_deform1_update_version.i)
 - (modules/tensor_mechanics/test/tests/jacobian/cdp_cwp_coss02.i)
 - (modules/tensor_mechanics/test/tests/jacobian/cwp04.i)
 - (modules/tensor_mechanics/test/tests/tensile/random_smoothed.i)
 - (modules/tensor_mechanics/test/tests/mohr_coulomb/small_deform2.i)
 - (modules/tensor_mechanics/test/tests/capped_mohr_coulomb/small_deform3.i)
 - (modules/tensor_mechanics/test/tests/capped_mohr_coulomb/small_deform21.i)
 - (modules/tensor_mechanics/test/tests/tensile/small_deform3_update_version.i)
 - (modules/tensor_mechanics/test/tests/mohr_coulomb/small_deform_hard2.i)
 - (modules/tensor_mechanics/test/tests/drucker_prager/small_deform3_outer_tip.i)
 - (modules/tensor_mechanics/test/tests/isotropicSD_plasticity/isotropicSD.i)
 - (modules/tensor_mechanics/test/tests/drucker_prager/small_deform2_inner_edge.i)
 - (modules/tensor_mechanics/test/tests/drucker_prager/random_hyperbolic.i)
 - (modules/tensor_mechanics/test/tests/capped_mohr_coulomb/small_deform7.i)
 - (modules/tensor_mechanics/test/tests/capped_weak_plane/small_deform_cosserat3.i)
 - (modules/tensor_mechanics/test/tests/capped_drucker_prager/small_deform3_inner_tip.i)
 - (modules/tensor_mechanics/test/tests/drucker_prager/small_deform3_lode_zero.i)
 - (modules/tensor_mechanics/test/tests/mean_cap/random.i)
 - (modules/tensor_mechanics/test/tests/mohr_coulomb/uni_axial2.i)
 - (modules/tensor_mechanics/test/tests/jacobian/mc_update5.i)
 - (modules/tensor_mechanics/test/tests/jacobian/tensile_update2.i)
 - (modules/combined/test/tests/j2_plasticity_vs_LSH/j2_hard1_mod.i)
 - (modules/tensor_mechanics/test/tests/tensile/planar4.i)
 - (modules/tensor_mechanics/test/tests/weak_plane_shear/small_deform_harden1.i)
 - (modules/tensor_mechanics/test/tests/jacobian/mc_update8_cosserat.i)
 - (modules/tensor_mechanics/examples/coal_mining/coarse.i)
 - (modules/tensor_mechanics/test/tests/jacobian/cwp06.i)
 - (modules/tensor_mechanics/test/tests/capped_weak_plane/small_deform_cosserat2.i)
 - (modules/tensor_mechanics/test/tests/mean_cap_TC/random01.i)
 - (modules/tensor_mechanics/test/tests/tensile/small_deform8_update_version.i)
 - (modules/tensor_mechanics/examples/coal_mining/cosserat_mc_only.i)
 - (modules/tensor_mechanics/test/tests/capped_weak_plane/beam.i)
 - (modules/tensor_mechanics/test/tests/multi/paper3.i)
 - (modules/tensor_mechanics/test/tests/mean_cap_TC/small_deform1.i)
 - (modules/tensor_mechanics/test/tests/capped_weak_plane/pull_push_h.i)
 - (modules/tensor_mechanics/test/tests/tensile/small_deform6_update_version.i)
 - (modules/tensor_mechanics/test/tests/drucker_prager/small_deform2_lode_zero.i)
 - (modules/tensor_mechanics/test/tests/tensile/planar7.i)
 - (modules/tensor_mechanics/test/tests/mohr_coulomb/small_deform2_small_strain.i)
 - (modules/tensor_mechanics/test/tests/mohr_coulomb/random.i)
 - (modules/tensor_mechanics/test/tests/weak_plane_tensile/small_deform1N.i)
 - (modules/tensor_mechanics/test/tests/capped_weak_plane/small_deform5.i)
 - (modules/tensor_mechanics/test/tests/jacobian/cto12.i)
 - (modules/tensor_mechanics/test/tests/mohr_coulomb/planar_hard3.i)
 - (modules/porous_flow/examples/coal_mining/fine_with_fluid.i)
 - (modules/tensor_mechanics/test/tests/jacobian/cdpc02.i)
 - (modules/tensor_mechanics/test/tests/capped_mohr_coulomb/random2.i)
 - (modules/tensor_mechanics/test/tests/jacobian/cto02.i)
 - (modules/tensor_mechanics/test/tests/notched_plastic_block/cmc_planar.i)
 - (modules/tensor_mechanics/examples/coal_mining/cosserat_mc_wp_sticky.i)
 - (modules/tensor_mechanics/test/tests/orthotropic_plasticity/orthotropic.i)
 - (modules/tensor_mechanics/test/tests/capped_weak_plane/small_deform_inclined2.i)
 - (modules/tensor_mechanics/test/tests/weak_plane_tensile/large_deform1.i)
 - (modules/tensor_mechanics/test/tests/capped_weak_plane/small_deform_cosserat1.i)
 - (modules/tensor_mechanics/test/tests/jacobian/cto13.i)
 - (modules/tensor_mechanics/test/tests/capped_mohr_coulomb/small_deform9.i)
 - (modules/tensor_mechanics/test/tests/mean_cap/small_deform1.i)
 - (modules/tensor_mechanics/test/tests/capped_drucker_prager/small_deform2_outer_tip.i)
 - (modules/tensor_mechanics/test/tests/tensile/planar1.i)
 - (modules/porous_flow/test/tests/plastic_heating/shear01.i)
 - (modules/tensor_mechanics/test/tests/mohr_coulomb/planar1.i)
 - (modules/tensor_mechanics/test/tests/capped_weak_plane/except3.i)
 - (modules/tensor_mechanics/test/tests/weak_plane_shear/small_deform1.i)
 - (modules/tensor_mechanics/test/tests/mohr_coulomb/planar_hard5.i)
 - (modules/tensor_mechanics/test/tests/capped_weak_plane/small_deform4.i)
 - (modules/tensor_mechanics/test/tests/capped_mohr_coulomb/small_deform18.i)
 - (modules/tensor_mechanics/test/tests/jacobian/cto19.i)
 - (modules/tensor_mechanics/test/tests/multiple_two_parameter_plasticity/cycled_dp_then_wp.i)
 - (modules/tensor_mechanics/test/tests/jacobian/mc_update24_cosserat.i)
 - (modules/tensor_mechanics/test/tests/capped_mohr_coulomb/small_deform_hard22.i)
 - (modules/tensor_mechanics/test/tests/j2_plasticity/small_deform2.i)
 - (modules/tensor_mechanics/test/tests/weak_plane_tensile/small_deform2.i)
 - (modules/tensor_mechanics/test/tests/jacobian/cto25.i)
 - (modules/tensor_mechanics/test/tests/capped_mohr_coulomb/small_deform15.i)
 - (modules/tensor_mechanics/test/tests/capped_weak_plane/except2.i)
 - (modules/tensor_mechanics/test/tests/jacobian/mc_update23_cosserat.i)
 - (modules/tensor_mechanics/test/tests/jacobian/mc_update21_cosserat.i)
 - (modules/tensor_mechanics/test/tests/mean_cap_TC/small_deform2.i)
 - (modules/tensor_mechanics/test/tests/tensile/small_deform4.i)
 - (modules/tensor_mechanics/test/tests/mohr_coulomb/planar3.i)
 - (modules/tensor_mechanics/test/tests/capped_mohr_coulomb/small_deform19.i)
 - (modules/tensor_mechanics/test/tests/tensile/small_deform7.i)
 - (modules/tensor_mechanics/test/tests/jacobian/cwp02.i)
 - (modules/tensor_mechanics/test/tests/jacobian/mc_update18.i)
 - (modules/tensor_mechanics/test/tests/j2_plasticity/small_deform3.i)
 - (modules/tensor_mechanics/test/tests/mohr_coulomb/planar_hard1.i)
 - (modules/combined/test/tests/j2_plasticity_vs_LSH/necking/j2_hard1_necking.i)
 - (modules/tensor_mechanics/test/tests/multi/rock1.i)
 - (modules/tensor_mechanics/test/tests/capped_drucker_prager/small_deform2_native.i)
 - (modules/tensor_mechanics/examples/coal_mining/cosserat_elastic.i)
 - (modules/combined/test/tests/j2_plasticity_vs_LSH/necking/j2_hard1_neckingRZ.i)
 - (modules/tensor_mechanics/test/tests/mohr_coulomb/uni_axial1_small_strain.i)
 - (modules/tensor_mechanics/examples/coal_mining/cosserat_mc_wp.i)
 - (modules/tensor_mechanics/test/tests/weak_plane_shear/large_deform3.i)
 - (modules/tensor_mechanics/test/tests/mean_cap_TC/small_deform4.i)
 - (modules/tensor_mechanics/test/tests/multiple_two_parameter_plasticity/dp_and_wp.i)
 - (modules/tensor_mechanics/test/tests/drucker_prager/small_deform2_native.i)
 - (modules/tensor_mechanics/test/tests/jacobian/cto20.i)
 - (modules/tensor_mechanics/test/tests/weak_plane_shear/small_deform2.i)
 - (modules/tensor_mechanics/test/tests/capped_mohr_coulomb/small_deform23.i)
 - (modules/tensor_mechanics/test/tests/jacobian/cwp08.i)
 - (modules/tensor_mechanics/test/tests/mohr_coulomb/planar_hard2.i)
 - (modules/tensor_mechanics/test/tests/capped_weak_plane/small_deform10.i)
 - (modules/tensor_mechanics/test/tests/weak_plane_shear/small_deform3.i)
 - (modules/tensor_mechanics/examples/coal_mining/cosserat_mc_wp_sticky_longitudinal.i)
 - (modules/tensor_mechanics/test/tests/capped_mohr_coulomb/random3.i)
 - (modules/tensor_mechanics/examples/coal_mining/cosserat_wp_only.i)
 - (modules/tensor_mechanics/test/tests/mean_cap_TC/random02.i)
 - (modules/tensor_mechanics/test/tests/jacobian/cto24.i)
 - (modules/tensor_mechanics/test/tests/jacobian/cto15.i)
 - (modules/tensor_mechanics/test/tests/tensile/planar2.i)
 - (modules/tensor_mechanics/test/tests/jacobian/cdp_cwp_coss01.i)
 - (modules/tensor_mechanics/test/tests/jacobian/cwpc02.i)
 - (modules/tensor_mechanics/test/tests/jacobian/mc_update24.i)
 - (modules/tensor_mechanics/test/tests/mohr_coulomb/small_deform1_uo.i)
 - (modules/tensor_mechanics/test/tests/jacobian/mc_update18_cosserat.i)
 - (modules/tensor_mechanics/test/tests/capped_mohr_coulomb/small_deform5.i)
 - (modules/tensor_mechanics/test/tests/notched_plastic_block/biaxial_planar.i)
 - (modules/tensor_mechanics/test/tests/capped_weak_plane/small_deform_inclined5.i)
 - (modules/tensor_mechanics/test/tests/capped_mohr_coulomb/small_deform25.i)
 - (modules/tensor_mechanics/test/tests/notched_plastic_block/cmc_smooth.i)
 - (modules/tensor_mechanics/test/tests/weak_plane_shear/small_deform4.i)
 - (modules/tensor_mechanics/test/tests/tensile/small_deform1.i)
 - (modules/tensor_mechanics/test/tests/weak_plane_shear/large_deform2.i)
 - (modules/tensor_mechanics/test/tests/capped_weak_plane/pull_and_shear.i)
 - (modules/tensor_mechanics/test/tests/capped_drucker_prager/small_deform3_inner_edge.i)
 - (modules/tensor_mechanics/test/tests/capped_weak_plane/except5.i)
 - (modules/tensor_mechanics/test/tests/mohr_coulomb/many_deforms_cap.i)
 - (modules/tensor_mechanics/test/tests/mohr_coulomb/small_deform6.i)
 - (modules/tensor_mechanics/test/tests/mohr_coulomb/small_deform4.i)
 - (modules/tensor_mechanics/test/tests/jacobian/mc_update22.i)
 - (modules/tensor_mechanics/test/tests/weak_plane_tensile/except1.i)
 - (modules/tensor_mechanics/test/tests/capped_mohr_coulomb/small_deform11.i)
 - (modules/tensor_mechanics/test/tests/weak_plane_shear/small_deform_harden4.i)
 - (modules/tensor_mechanics/test/tests/tensile/small_deform2.i)
 - (modules/tensor_mechanics/test/tests/drucker_prager/small_deform2_outer_tip.i)
 - (modules/tensor_mechanics/test/tests/jacobian/cwp07.i)
 - (modules/porous_flow/test/tests/dirackernels/injection_with_plasticity.i)
 - (modules/tensor_mechanics/test/tests/capped_weak_plane/small_deform_inclined3.i)
 - (modules/tensor_mechanics/test/tests/jacobian/cto28.i)
 - (modules/tensor_mechanics/test/tests/jacobian/mc_update15.i)
 - (modules/tensor_mechanics/test/tests/weak_plane_tensile/small_deform_hard1.i)
 - (modules/tensor_mechanics/test/tests/jacobian/mc_update1_cosserat.i)
 - (modules/tensor_mechanics/test/tests/tensile/small_deform6.i)
 - (modules/tensor_mechanics/test/tests/capped_drucker_prager/small_deform3_lode_zero.i)
 - (modules/tensor_mechanics/test/tests/drucker_prager/small_deform2_inner_tip.i)
 - (modules/tensor_mechanics/test/tests/capped_weak_plane/pull_push.i)
 - (modules/tensor_mechanics/test/tests/capped_mohr_coulomb/small_deform13.i)
 - (modules/tensor_mechanics/test/tests/capped_weak_plane/small_deform8.i)
 - (modules/tensor_mechanics/test/tests/capped_mohr_coulomb/small_deform_hard21.i)
 - (modules/tensor_mechanics/test/tests/jacobian/tensile_update3.i)
 - (modules/tensor_mechanics/test/tests/jacobian/mc_update4.i)
 - (modules/tensor_mechanics/test/tests/tensile/small_deform3.i)
 - (modules/tensor_mechanics/test/tests/jacobian/mc_update3.i)
 - (modules/tensor_mechanics/test/tests/mohr_coulomb/uni_axial3.i)
 - (modules/tensor_mechanics/test/tests/jacobian/mc_update12.i)
 - (modules/tensor_mechanics/test/tests/capped_weak_plane/small_deform9.i)
 - (modules/tensor_mechanics/examples/coal_mining/fine.i)
 - (modules/tensor_mechanics/test/tests/capped_weak_plane/small_deform7.i)
 - (modules/tensor_mechanics/test/tests/jacobian/mc_update8.i)
 - (modules/tensor_mechanics/test/tests/capped_drucker_prager/small_deform2_inner_tip.i)
 - (modules/tensor_mechanics/test/tests/mohr_coulomb/uni_axial1.i)
 - (modules/tensor_mechanics/test/tests/jacobian/cwp03.i)
 - (modules/tensor_mechanics/test/tests/capped_drucker_prager/small_deform2_inner_edge.i)
 - (modules/tensor_mechanics/test/tests/capped_weak_plane/except4.i)
 - (modules/tensor_mechanics/test/tests/notched_plastic_block/biaxial_abbo.i)
 - (modules/tensor_mechanics/test/tests/mean_cap/small_deform2.i)
 - (modules/tensor_mechanics/test/tests/capped_drucker_prager/random.i)
 - (modules/tensor_mechanics/test/tests/capped_drucker_prager/small_deform3_native.i)
 - (modules/tensor_mechanics/test/tests/weak_plane_shear/except2.i)
 - (modules/tensor_mechanics/test/tests/jacobian/mc_update21.i)
 - (modules/tensor_mechanics/test/tests/capped_mohr_coulomb/small_deform24.i)
 - (modules/tensor_mechanics/test/tests/mohr_coulomb/planar_hard4.i)
 - (modules/tensor_mechanics/test/tests/jacobian/mc_update34.i)
 - (modules/tensor_mechanics/test/tests/jacobian/mc_update14.i)
 - (modules/tensor_mechanics/test/tests/capped_mohr_coulomb/small_deform9_cosserat.i)
 - (modules/tensor_mechanics/test/tests/capped_mohr_coulomb/small_deform_hard13.i)
 - (modules/tensor_mechanics/test/tests/tensile/small_deform5_update_version.i)
 - (modules/tensor_mechanics/test/tests/weak_plane_shear/except1.i)
 - (modules/tensor_mechanics/test/tests/jacobian/mc_update17.i)
 - (modules/tensor_mechanics/test/tests/capped_weak_plane/except6.i)
 - (modules/tensor_mechanics/test/tests/jacobian/cwp05.i)
 - (modules/tensor_mechanics/test/tests/notched_plastic_block/biaxial_smooth.i)
 - (modules/tensor_mechanics/test/tests/jacobian/mc_update2.i)
 - (modules/tensor_mechanics/test/tests/jacobian/mc_update23.i)
 - (modules/tensor_mechanics/test/tests/jacobian/cdpc01.i)
 - (modules/tensor_mechanics/test/tests/capped_weak_plane/push_and_shear.i)
 - (modules/tensor_mechanics/test/tests/mohr_coulomb/small_deform_hard1.i)
 - (modules/tensor_mechanics/test/tests/tensile/small_deform2_update_version.i)
 - (modules/tensor_mechanics/test/tests/jacobian/mc_update7.i)
 - (modules/tensor_mechanics/test/tests/capped_mohr_coulomb/small_deform8.i)
 - (modules/combined/test/tests/j2_plasticity_vs_LSH/j2_hard1_mod_optimised.i)
 - (modules/tensor_mechanics/test/tests/capped_weak_plane/except1.i)
 - (modules/tensor_mechanics/test/tests/capped_mohr_coulomb/small_deform22.i)
 - (modules/tensor_mechanics/test/tests/capped_mohr_coulomb/small_deform1_cosserat.i)
 - (modules/tensor_mechanics/test/tests/mohr_coulomb/uni_axial3_planar.i)
 - (modules/tensor_mechanics/test/tests/j2_plasticity/small_deform1.i)
 - (modules/tensor_mechanics/test/tests/capped_mohr_coulomb/small_deform6.i)
 - (modules/tensor_mechanics/test/tests/jacobian/mc_update11.i)
 - (modules/tensor_mechanics/test/tests/jacobian/cwp10.i)
 - (modules/tensor_mechanics/test/tests/capped_weak_plane/small_deform2.i)
 - (modules/tensor_mechanics/test/tests/capped_drucker_prager/small_deform3_outer_tip.i)
 - (modules/tensor_mechanics/test/tests/mohr_coulomb/except4.i)
 - (modules/tensor_mechanics/test/tests/weak_plane_shear/large_deform1.i)
 - (modules/tensor_mechanics/test/tests/initial_stress/mc_tensile.i)
 - (modules/tensor_mechanics/test/tests/capped_mohr_coulomb/random1.i)
 - (modules/tensor_mechanics/test/tests/capped_mohr_coulomb/random5.i)
 - (modules/tensor_mechanics/test/tests/drucker_prager/small_deform3_inner_tip.i)
 - (modules/tensor_mechanics/test/tests/jacobian/mc_update34_cosserat.i)
 - (modules/tensor_mechanics/tutorials/basics/part_2.3.i)
 - (modules/tensor_mechanics/test/tests/weak_plane_shear/large_deform4.i)
 - (modules/combined/test/tests/j2_plasticity_vs_LSH/j2_hard1_mod_small_strain.i)
 - (modules/tensor_mechanics/test/tests/capped_weak_plane/throw_test.i)
 - (modules/tensor_mechanics/test/tests/jacobian/mc_update33_cosserat.i)
 - (modules/tensor_mechanics/test/tests/mohr_coulomb/except1.i)
 - (modules/tensor_mechanics/test/tests/capped_weak_plane/small_deform11.i)
 - (modules/tensor_mechanics/test/tests/drucker_prager/small_deform3_native.i)
 - (modules/tensor_mechanics/test/tests/jacobian/cwpc01.i)
 - (modules/tensor_mechanics/test/tests/weak_plane_tensile/large_deform2.i)
 - (modules/tensor_mechanics/test/tests/capped_mohr_coulomb/small_deform_hard3.i)
 - (modules/tensor_mechanics/test/tests/jacobian/mc_update6.i)
 - (modules/tensor_mechanics/test/tests/mohr_coulomb/except3.i)
 - (modules/tensor_mechanics/test/tests/jacobian/mc_update1.i)
 - (modules/tensor_mechanics/test/tests/jacobian/cto14.i)
 - (modules/tensor_mechanics/test/tests/jacobian/tensile_update1.i)
 - (modules/tensor_mechanics/test/tests/multi/special_joint1.i)
 - (modules/tensor_mechanics/test/tests/mohr_coulomb/except2.i)
 - (modules/tensor_mechanics/test/tests/multiple_two_parameter_plasticity/dp_then_wp.i)
 - (modules/porous_flow/test/tests/plastic_heating/tensile01.i)
 - (modules/porous_flow/examples/coal_mining/coarse_with_fluid.i)
 - (modules/tensor_mechanics/test/tests/jacobian/mc_update22_cosserat.i)
 - (modules/tensor_mechanics/test/tests/tensile/small_deform9_update_version.i)
 - (modules/tensor_mechanics/test/tests/capped_mohr_coulomb/small_deform12.i)
 - (modules/tensor_mechanics/test/tests/mohr_coulomb/small_deform3.i)
 - (modules/tensor_mechanics/test/tests/capped_mohr_coulomb/small_deform16.i)
 - (modules/tensor_mechanics/test/tests/capped_mohr_coulomb/small_deform17.i)
 - (modules/tensor_mechanics/test/tests/mean_cap_TC/small_deform3.i)
 - (modules/porous_flow/test/tests/plastic_heating/compressive01.i)
 - (modules/tensor_mechanics/test/tests/mohr_coulomb/small_deform_hard_cubic.i)
 - (modules/tensor_mechanics/test/tests/capped_weak_plane/small_deform6.i)
 - (modules/tensor_mechanics/test/tests/capped_weak_plane/small_deform3.i)
 
(modules/tensor_mechanics/test/tests/jacobian/tensile_update4.i)
# Tensile, update version, with strength = 1MPa and smoothing_tol = 0.1E5
# Lame lambda = 1GPa.  Lame mu = 1.3GPa
# Units in this file are MPa (not Pa)
#
# Start from non-diagonal stress state
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 1
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    lambda = 1.0E3
    shear_modulus = 1.3E3
  [../]
  [./strain]
    type = ComputeIncrementalSmallStrain
    displacements = 'disp_x disp_y disp_z'
    eigenstrain_names = ini_stress
  [../]
  [./ini_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = '2 -1 0.5  1 1.9 0  0.5 0 3'
    eigenstrain_name = ini_stress
  [../]
  [./tensile]
    type = TensileStressUpdate
    tensile_strength = ts
    smoothing_tol = 0.1
    yield_function_tol = 1.0E-12
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = tensile
    perform_finite_strain_rotations = false
  [../]
[]
[Preconditioning]
  [./andy]
    type = SMP
    full = true
    petsc_options_iname = '-snes_type'
    petsc_options_value = 'test'
  [../]
[]
[Executioner]
  type = Transient
  solve_type = Newton
[]
(modules/tensor_mechanics/test/tests/mohr_coulomb/small_deform5.i)
# apply repeated stretches in x z directions, and smaller stretches along the y direction,
# so that sigma_I = sigma_II,
# which means that lode angle = 30deg.
# The allows yield surface in meridional plane to be mapped out
# Use 'cap' smoothing
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '1E-6*x*t'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0.9E-6*y*sin(t)'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z*t'
  [../]
[]
[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mc_int]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./mc_int_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_internal_parameter
    variable = mc_int
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
  [./iter_auxk]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./internal]
    type = PointValue
    point = '0 0 0'
    variable = mc_int
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
[]
[UserObjects]
  [./mc_coh]
    type = TensorMechanicsHardeningConstant
    value = 10
  [../]
  [./mc_phi]
    type = TensorMechanicsHardeningConstant
    value = 50
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = TensorMechanicsHardeningExponential
    value_0 = 0
    value_residual = 0.8726646 # 50deg
    rate = 3000.0
  [../]
  [./mc]
    type = TensorMechanicsPlasticMohrCoulomb
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    tip_scheme = cap
    mc_tip_smoother = 0
    cap_start = 3
    cap_rate = 0.8
    mc_edge_smoother = 20
    yield_function_tolerance = 1E-8
    internal_constraint_tolerance = 1E-9
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = mc
    debug_fspb = crash
  [../]
[]
[Executioner]
  end_time = 150
  dt = 5
  type = Transient
[]
[Outputs]
  file_base = small_deform5
  exodus = false
  [./csv]
    type = CSV
    [../]
[]
(modules/tensor_mechanics/test/tests/weak_plane_tensile/small_deform1.i)
# checking for small deformation
# A single element is stretched by 1E-6m in x,y and z directions.
# stress_zz = Youngs Modulus*Strain = 2E6*1E-6 = 2 Pa
# wpt_tensile_strength is set to 1Pa
# Then the final stress should return to the yeild surface and its value should be 1pa.
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[BCs]
  [./bottomx]
    type = DirichletBC
    variable = disp_x
    boundary = back
    value = 0.0
  [../]
  [./bottomy]
    type = DirichletBC
    variable = disp_y
    boundary = back
    value = 0.0
  [../]
  [./bottomz]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0.0
  [../]
  [./topx]
    type = DirichletBC
    variable = disp_x
    boundary = front
    value = 0E-6
  [../]
  [./topy]
    type = DirichletBC
    variable = disp_y
    boundary = front
    value = 0E-6
  [../]
  [./topz]
    type = DirichletBC
    variable = disp_z
    boundary = front
    value = 1E-6
  [../]
[]
[AuxVariables]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_zx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zx
    index_i = 2
    index_j = 0
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = yield_fcn
  [../]
[]
[Postprocessors]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]
[UserObjects]
  [./str]
    type = TensorMechanicsHardeningConstant
    value = 1
  [../]
  [./wpt]
    type = TensorMechanicsPlasticWeakPlaneTensile
    tensile_strength = str
    yield_function_tolerance = 1E-6
    internal_constraint_tolerance = 1E-5
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E6'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    plastic_models = wpt
    transverse_direction = '0 0 1'
    ep_plastic_tolerance = 1E-5
  [../]
[]
[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform1
  exodus = true
  [./csv]
    type = CSV
    [../]
[]
(modules/tensor_mechanics/test/tests/jacobian/cwp01.i)
# Capped weak-plane plasticity
# checking jacobian for a fully-elastic situation
[Mesh]
  type = GeneratedMesh
  dim = 3
[]
[GlobalParams]
  block = 0
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[ICs]
  [./disp_x]
    type = RandomIC
    variable = disp_x
    min = -0.1
    max = 0.1
  [../]
  [./disp_y]
    type = RandomIC
    variable = disp_y
    min = -0.1
    max = 0.1
  [../]
  [./disp_z]
    type = RandomIC
    variable = disp_z
    min = -0.1
    max = 0.1
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[UserObjects]
  [./coh]
    type = TensorMechanicsHardeningExponential
    value_0 = 100
    value_residual = 2
    rate = 1
  [../]
  [./tanphi]
    type = TensorMechanicsHardeningExponential
    value_0 = 1.0
    value_residual = 0.5
    rate = 2
  [../]
  [./tanpsi]
    type = TensorMechanicsHardeningExponential
    value_0 = 0.1
    value_residual = 0.05
    rate = 1
  [../]
  [./t_strength]
    type = TensorMechanicsHardeningExponential
    value_0 = 100
    value_residual = 0
    rate = 1
  [../]
  [./c_strength]
    type = TensorMechanicsHardeningConstant
    value = 100
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    lambda = 1.0
    shear_modulus = 2.0
  [../]
  [./strain]
    type = ComputeIncrementalSmallStrain
    displacements = 'disp_x disp_y disp_z'
    eigenstrain_names = ini_stress
  [../]
  [./ini_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = '1 2 3  2 -4 -5  3 -5 2'
    eigenstrain_name = ini_stress
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    inelastic_models = mc
  [../]
  [./mc]
    type = CappedWeakPlaneStressUpdate
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    tensile_strength = t_strength
    compressive_strength = c_strength
    max_NR_iterations = 20
    tip_smoother = 1
    smoothing_tol = 2
    yield_function_tol = 1E-10
  [../]
[]
[Preconditioning]
  [./andy]
    type = SMP
    full = true
    petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it -snes_type'
    petsc_options_value = 'bcgs bjacobi 1E-15 1E-10 10000 test'
  [../]
[]
[Executioner]
  type = Transient
  solve_type = Newton
[]
(modules/tensor_mechanics/test/tests/capped_mohr_coulomb/small_deform2.i)
# Using CappedMohrCoulomb with tensile failure only
# checking for small deformation
# A single element is stretched equally in all directions.
# This causes the return direction to be along the sigma_I = sigma_II = sigma_III line
# tensile_strength is set to 1Pa, and smoothing_tol = 0.1Pa
# The smoothed yield function comes from two smoothing operations.
# The first is on sigma_I and sigma_II (sigma_I >= sigma_II >= sigma_III):
# yf = sigma_I + ismoother(0) - tensile_strength
#    = sigma_I + (0.5 * smoothing_tol - smoothing_tol / Pi) - tensile_strength
#    = sigma_I + 0.018169 - 1
# The second has the argument of ismoother equal to -0.018169.
# ismoother(-0.018169) = 0.5 * (-0.018169 + 0.1) - 0.1 * cos (0.5 * Pi * -0.018169 / 0.1) / Pi
#                     = 0.010372
# So the final yield function is
# yf = sigma_I + 0.018169 + 0.010372 - 1 = sigma_I + 0.028541 - 1
# However, because of the asymmetry in smoothing (the yield function is obtained
# by first smoothing sigma_I-ts and sigma_II-ts, and then by smoothing this
# result with sigma_III-ts) the result is sigma_I = sigma_II > sigma_III
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    strain = finite
    incremental = true
    generate_output = 'max_principal_stress mid_principal_stress min_principal_stress stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '1E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '1E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z'
  [../]
[]
[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = yield_fcn
  [../]
[]
[Postprocessors]
  [./s_I]
    type = PointValue
    point = '0 0 0'
    variable = max_principal_stress
  [../]
  [./s_II]
    type = PointValue
    point = '0 0 0'
    variable = mid_principal_stress
  [../]
  [./s_III]
    type = PointValue
    point = '0 0 0'
    variable = min_principal_stress
  [../]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 1
  [../]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./ang]
    type = TensorMechanicsHardeningConstant
    value = 0.5
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 2.0E6'
  [../]
  [./tensile]
    type = CappedMohrCoulombStressUpdate
    tensile_strength = ts
    compressive_strength = ts
    cohesion = coh
    friction_angle = ang
    dilation_angle = ang
    smoothing_tol = 0.1
    yield_function_tol = 1.0E-12
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = tensile
    perform_finite_strain_rotations = false
  [../]
[]
[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform2
  csv = true
[]
(modules/tensor_mechanics/test/tests/capped_mohr_coulomb/small_deform1.i)
# Using CappedMohrCoulomb with tensile failure only
# checking for small deformation
# A single element is stretched by 1E-6m in z direction, and by small amounts in x and y directions
# stress_zz = Youngs Modulus*Strain = 2E6*1E-6 = 2 Pa
# tensile_strength is set to 1Pa
# Then the final stress should return to the yeild surface and the minimum principal stress value should be 1pa.
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0.1E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0.2E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z'
  [../]
[]
[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = yield_fcn
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 1
  [../]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./ang]
    type = TensorMechanicsHardeningConstant
    value = 0.5
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 2.0E6'
  [../]
  [./tensile]
    type = CappedMohrCoulombStressUpdate
    tensile_strength = ts
    compressive_strength = ts
    cohesion = coh
    friction_angle = ang
    dilation_angle = ang
    smoothing_tol = 0.0
    yield_function_tol = 1.0E-9
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = tensile
    perform_finite_strain_rotations = false
  [../]
[]
[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform1
  csv = true
[]
(modules/tensor_mechanics/test/tests/drucker_prager/small_deform3_inner_edge.i)
# apply repeated stretches in x z directions, and smaller stretches along the y direction,
# so that sigma_I = sigma_II,
# which means that lode angle = 30deg.
# The allows yield surface in meridional plane to be mapped out
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '1E-6*x*t'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '-1.7E-6*y*t'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z*t'
  [../]
[]
[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mc_int]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./mc_int_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_internal_parameter
    variable = mc_int
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./internal]
    type = PointValue
    point = '0 0 0'
    variable = mc_int
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]
[UserObjects]
  [./mc_coh]
    type = TensorMechanicsHardeningConstant
    value = 10
  [../]
  [./mc_phi]
    type = TensorMechanicsHardeningConstant
    value = 35
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = TensorMechanicsHardeningConstant
    value = 5
    convert_to_radians = true
  [../]
  [./mc]
    type = TensorMechanicsPlasticDruckerPragerHyperbolic
    mc_cohesion = mc_coh
    mc_friction_angle = mc_phi
    mc_dilation_angle = mc_psi
    smoother = 8
    mc_interpolation_scheme = inner_edge
    yield_function_tolerance = 1E-7
    internal_constraint_tolerance = 1E-9
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./strain]
    type = ComputeIncrementalSmallStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-13
    plastic_models = mc
    debug_fspb = crash
  [../]
[]
[Executioner]
  end_time = 10
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform3_inner_edge
  exodus = false
  [./csv]
    type = CSV
    [../]
[]
(modules/tensor_mechanics/test/tests/mohr_coulomb/random_planar.i)
# apply many random large deformations, checking that the algorithm returns correctly to
# the yield surface each time.
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 100
  ny = 1250
  nz = 1
  xmin = 0
  xmax = 100
  ymin = 0
  ymax = 1250
  zmin = 0
  zmax = 1
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[ICs]
  [./x]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_x
  [../]
  [./y]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_y
  [../]
  [./z]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_z
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '0'
  [../]
[]
[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
[]
[Postprocessors]
  [./yield_fcn_at_zero]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
    outputs = 'console'
  [../]
  [./should_be_zero]
    type = FunctionValuePostprocessor
    function = should_be_zero_fcn
  [../]
  [./av_iter]
    type = ElementAverageValue
    variable = iter
    outputs = 'console'
  [../]
[]
[Functions]
  [./should_be_zero_fcn]
    type = ParsedFunction
    value = 'if(a<1E-3,0,a)'
    vars = 'a'
    vals = 'yield_fcn_at_zero'
  [../]
[]
[UserObjects]
  [./coh]
    type = TensorMechanicsHardeningCubic
    value_0 = 1000
    value_residual = 100
    internal_limit = 4
  [../]
  [./phi]
    type = TensorMechanicsHardeningCubic
    value_0 = 0.8
    value_residual = 0.3
    internal_limit = 2
  [../]
  [./psi]
    type = TensorMechanicsHardeningConstant
    value = 15
    convert_to_radians = true
  [../]
  [./mc]
    type = TensorMechanicsPlasticMohrCoulombMulti
    cohesion = coh
    friction_angle = phi
    dilation_angle = psi
    yield_function_tolerance = 1E-3
    shift = 1E-10
    internal_constraint_tolerance = 1E-6
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0.7E7 1E7'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-10
    plastic_models = mc
    min_stepsize = 1
    max_stepsize_for_dumb = 1
  [../]
[]
[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = random_planar
  exodus = false
  [./csv]
    type = CSV
    [../]
[]
(modules/tensor_mechanics/test/tests/j2_plasticity/hard1.i)
# UserObject J2 test, with hardening, but with rate=0
# apply uniform compression in x direction to give
# trial stress_xx = -5, so sqrt(3*J2) = 5
# with zero Poisson's ratio, this should return to
# stress_xx = -3, stress_yy = -1 = stress_zz,
# for strength = 2
# (note that stress_xx - stress_yy = stress_xx - stress_zz = -2, so sqrt(3*j2) = 2,
#  and that the mean stress remains = -5/3)
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '-2.5E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '0E-6*z'
  [../]
[]
[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./f]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = f
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = f
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
[]
[UserObjects]
  [./str]
    type = TensorMechanicsHardeningConstant
    value = 2
  [../]
  [./j2]
    type = TensorMechanicsPlasticJ2
    yield_strength = str
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-9
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E6'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = j2
    debug_fspb = crash
  [../]
[]
[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = hard1
  exodus = false
  [./csv]
    type = CSV
    [../]
[]
(modules/tensor_mechanics/test/tests/multi/mc_wpt_1.i)
# checking for small deformation
# A single element is stretched by 1E-6m in x,y and z directions.
# stress_zz = Youngs Modulus*Strain = 2E6*1E-6 = 2 Pa
# wpt_tensile_strength is set to 1Pa
# Then the final stress should return to the yeild surface and its value should be 1pa.
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[BCs]
  [./bottomx]
    type = DirichletBC
    variable = disp_x
    boundary = back
    value = 0.0
  [../]
  [./bottomy]
    type = DirichletBC
    variable = disp_y
    boundary = back
    value = 0.0
  [../]
  [./bottomz]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0.0
  [../]
  [./topx]
    type = DirichletBC
    variable = disp_x
    boundary = front
    value = 0E-6
  [../]
  [./topy]
    type = DirichletBC
    variable = disp_y
    boundary = front
    value = 0E-6
  [../]
  [./topz]
    type = DirichletBC
    variable = disp_z
    boundary = front
    value = 1E-6
  [../]
[]
[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
[]
[UserObjects]
  [./mc_coh]
    type = TensorMechanicsHardeningConstant
    value = 100
  [../]
  [./mc_phi]
    type = TensorMechanicsHardeningConstant
    value = 60
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = TensorMechanicsHardeningConstant
    value = 5
    convert_to_radians = true
  [../]
  [./mc]
    type = TensorMechanicsPlasticMohrCoulomb
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    mc_tip_smoother = 4
    mc_edge_smoother = 25
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-9
  [../]
  [./str]
    type = TensorMechanicsHardeningConstant
    value = 1
  [../]
  [./wpt]
    type = TensorMechanicsPlasticWeakPlaneTensile
    tensile_strength = str
    yield_function_tolerance = 1E-6
    internal_constraint_tolerance = 1E-5
  [../]
[]
[Materials]
  [./mc]
    type = FiniteStrainMultiPlasticity
    block = 0
    disp_x = disp_x
    disp_y = disp_y
    disp_z = disp_z
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
    ep_plastic_tolerance = 1E-9
    plastic_models = 'mc wpt'
    debug_fspb = crash
    debug_jac_at_stress = '10 0 0 0 10 0 0 0 10'
    debug_jac_at_pm = 1
    debug_jac_at_intnl = 1
    debug_stress_change = 1E-5
    debug_pm_change = 1E-6
    debug_intnl_change = 1E-6
  [../]
[]
[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = mc_wpt_1
  exodus = false
  [./csv]
    type = CSV
    [../]
[]
(modules/tensor_mechanics/test/tests/capped_weak_plane/small_deform_cosserat4.i)
# Plastic deformation.  Layered Cosserat with parameters:
# Young = 10.0
# Poisson = 0.25
# layer_thickness = 10
# joint_normal_stiffness = 2.5
# joint_shear_stiffness = 2.0
# These give the following nonzero components of the elasticity tensor:
# E_0000 = E_1111 = 1.156756756757E+01
# E_0011 = E_1100 = 3.855855855856E+00
# E_2222 = E_pp = 8.108108108108E+00
# E_0022 = E_1122 = E_2200 = E_2211 = 2.702702702703E+00
# G = E_0101 = E_0110 = E_1001 = E_1010 = 4
# Gt = E_qq = E_0202 = E_0220 = E_2002 = E_1212 = E_1221 = E_2112 = 3.333333333333E+00
# E_2020 = E_2121 = 3.666666666667E+00
# They give the following nonzero components of the bending rigidity tensor:
# D = 8.888888888889E+02
# B_0101 = B_1010 = 8.080808080808E+00
# B_0110 = B_1001 = -2.020202020202E+00
#
# Applying the following deformation to the zmax surface of a unit cube:
# disp_x = 32*t/Gt
# disp_y = 24*t/Gt
# disp_z = 10*t/E_2222
# but leaving wc_x and wc_y unfixed
# yields the following strains:
# strain_xz = 32*t/Gt - wc_y = 9.6*t - wc_y
# strain_zx = wc_y
# strain_yz = 24*t/Gt + wc_x = 7.2*t + wc_x
# strain_zy = - wc_x
# strain_zz = 10*t/E_2222 = 1.23333333*t
# and all other components, and the curvature, are zero (assuming
# wc is uniform over the cube).
#
# When wc=0, the nonzero components of stress are therefore:
# stress_xx = stress_yy = 3.33333*t
# stress_xz = stress_zx = 32*t
# stress_yz = stress_zy = 24*t
# stress_zz = 10*t
# The moment stress is zero.
# So q = 40*t and p = 10*t
#
# Use tan(friction_angle) = 0.5 and tan(dilation_angle) = E_qq/Epp/2, and cohesion=20,
# the system should return to p=0, q=20, ie stress_zz=0, stress_xz=16,
# stress_yz=12 on the first time step (t=1)
# and
# stress_xx = stress_yy = 0
# and
# stress_zx = 32, and stress_zy = 24.
# This has resulted in a non-symmetric stress tensor, and there is
# zero moment stress, so the system is not in equilibrium.  A
# nonzero wc must therefore be generated.
#
# The obvious choice of wc is such that stress_zx = 16 and
# stress_zy = 12, because then the final returned stress will
# be symmetric.  This gives
# wc_y = - 48
# wc_x = 36
# At t=1, the nonzero components of stress are
# stress_xx = stress_yy = 3.33333
# stress_xz = 32, stress_zx = 16
# stress_yz = 24, stress_zy = 12
# stress_zz = 10*t
# The moment stress is zero.
#
# The returned stress is
# stress_xx = stress_yy = 0
# stress_xz = stress_zx = 16
# stress_yz = stress_zy = 12
# stress_zz = 0
# The total strains are given above.
# Since q returned from 40 to 20, plastic_strain_xz = 9.6/2 = 4.8
# and plastic_strain_yz = 7.2/2 = 3.6.
# Since p returned to zero, all of the total strain_zz is
# plastic, ie plastic_strain_zz = 1.23333
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  Cosserat_rotations = 'wc_x wc_y wc_z'
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
  [./wc_x]
  [../]
  [./wc_y]
  [../]
[]
[Kernels]
  [./cx_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_x
    component = 0
  [../]
  [./cy_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_y
    component = 1
  [../]
  [./cz_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_z
    component = 2
  [../]
  [./x_couple]
    type = StressDivergenceTensors
    variable = wc_x
    displacements = 'wc_x wc_y wc_z'
    component = 0
    base_name = couple
  [../]
  [./y_couple]
    type = StressDivergenceTensors
    variable = wc_y
    displacements = 'wc_x wc_y wc_z'
    component = 1
    base_name = couple
  [../]
  [./x_moment]
    type = MomentBalancing
    variable = wc_x
    component = 0
  [../]
  [./y_moment]
    type = MomentBalancing
    variable = wc_y
    component = 1
  [../]
[]
[BCs]
  [./bottomx]
    type = DirichletBC
    variable = disp_x
    boundary = back
    value = 0.0
  [../]
  [./bottomy]
    type = DirichletBC
    variable = disp_y
    boundary = back
    value = 0.0
  [../]
  [./bottomz]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0.0
  [../]
  [./topx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = front
    function = 32*t/3.333333333333E+00
  [../]
  [./topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = front
    function = 24*t/3.333333333333E+00
  [../]
  [./topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = 10*t/8.108108108108E+00
  [../]
[]
[AuxVariables]
  [./wc_z]
  [../]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./couple_stress_xx]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_xy]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_xz]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_yx]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_yy]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_yz]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_zx]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_zy]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_zz]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./strainp_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_yx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_zx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_zy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_yx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_zx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_zy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_compressive]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./ls]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yx
    index_i = 1
    index_j = 0
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zx
    index_i = 2
    index_j = 0
  [../]
  [./stress_zy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zy
    index_i = 2
    index_j = 1
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./couple_stress_xx]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./couple_stress_xy]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./couple_stress_xz]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./couple_stress_yx]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_yx
    index_i = 1
    index_j = 0
  [../]
  [./couple_stress_yy]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./couple_stress_yz]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./couple_stress_zx]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_zx
    index_i = 2
    index_j = 0
  [../]
  [./couple_stress_zy]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_zy
    index_i = 2
    index_j = 1
  [../]
  [./couple_stress_zz]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./strainp_xx]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_xx
    index_i = 0
    index_j = 0
  [../]
  [./strainp_xy]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_xy
    index_i = 0
    index_j = 1
  [../]
  [./strainp_xz]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_xz
    index_i = 0
    index_j = 2
  [../]
  [./strainp_yx]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_yx
    index_i = 1
    index_j = 0
  [../]
  [./strainp_yy]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_yy
    index_i = 1
    index_j = 1
  [../]
  [./strainp_yz]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_yz
    index_i = 1
    index_j = 2
  [../]
  [./strainp_zx]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_zx
    index_i = 2
    index_j = 0
  [../]
  [./strainp_zy]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_zy
    index_i = 2
    index_j = 1
  [../]
  [./strainp_zz]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_zz
    index_i = 2
    index_j = 2
  [../]
  [./straint_xx]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_xx
    index_i = 0
    index_j = 0
  [../]
  [./straint_xy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_xy
    index_i = 0
    index_j = 1
  [../]
  [./straint_xz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_xz
    index_i = 0
    index_j = 2
  [../]
  [./straint_yx]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_yx
    index_i = 1
    index_j = 0
  [../]
  [./straint_yy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_yy
    index_i = 1
    index_j = 1
  [../]
  [./straint_yz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_yz
    index_i = 1
    index_j = 2
  [../]
  [./straint_zx]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_zx
    index_i = 2
    index_j = 0
  [../]
  [./straint_zy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_zy
    index_i = 2
    index_j = 1
  [../]
  [./straint_zz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_zz
    index_i = 2
    index_j = 2
  [../]
  [./f_shear]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f_shear
  [../]
  [./f_tensile]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f_tensile
  [../]
  [./f_compressive]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f_compressive
  [../]
  [./intnl_shear]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = intnl_shear
  [../]
  [./intnl_tensile]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 1
    variable = intnl_tensile
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./ls]
    type = MaterialRealAux
    property = plastic_linesearch_needed
    variable = ls
  [../]
[]
[Postprocessors]
  [./wc_x]
    type = PointValue
    point = '0 0 0'
    variable = wc_x
  [../]
  [./wc_y]
    type = PointValue
    point = '0 0 0'
    variable = wc_y
  [../]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yx]
    type = PointValue
    point = '0 0 0'
    variable = stress_yx
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zx]
    type = PointValue
    point = '0 0 0'
    variable = stress_zx
  [../]
  [./s_zy]
    type = PointValue
    point = '0 0 0'
    variable = stress_zy
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./c_s_xx]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_xx
  [../]
  [./c_s_xy]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_xy
  [../]
  [./c_s_xz]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_xz
  [../]
  [./c_s_yx]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_yx
  [../]
  [./c_s_yy]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_yy
  [../]
  [./c_s_yz]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_yz
  [../]
  [./c_s_zx]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_zx
  [../]
  [./c_s_zy]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_zy
  [../]
  [./c_s_zz]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_zz
  [../]
  [./strainp_xx]
    type = PointValue
    point = '0 0 0'
    variable = strainp_xx
  [../]
  [./strainp_xy]
    type = PointValue
    point = '0 0 0'
    variable = strainp_xy
  [../]
  [./strainp_xz]
    type = PointValue
    point = '0 0 0'
    variable = strainp_xz
  [../]
  [./strainp_yx]
    type = PointValue
    point = '0 0 0'
    variable = strainp_yx
  [../]
  [./strainp_yy]
    type = PointValue
    point = '0 0 0'
    variable = strainp_yy
  [../]
  [./strainp_yz]
    type = PointValue
    point = '0 0 0'
    variable = strainp_yz
  [../]
  [./strainp_zx]
    type = PointValue
    point = '0 0 0'
    variable = strainp_zx
  [../]
  [./strainp_zy]
    type = PointValue
    point = '0 0 0'
    variable = strainp_zy
  [../]
  [./strainp_zz]
    type = PointValue
    point = '0 0 0'
    variable = strainp_zz
  [../]
  [./straint_xx]
    type = PointValue
    point = '0 0 0'
    variable = straint_xx
  [../]
  [./straint_xy]
    type = PointValue
    point = '0 0 0'
    variable = straint_xy
  [../]
  [./straint_xz]
    type = PointValue
    point = '0 0 0'
    variable = straint_xz
  [../]
  [./straint_yx]
    type = PointValue
    point = '0 0 0'
    variable = straint_yx
  [../]
  [./straint_yy]
    type = PointValue
    point = '0 0 0'
    variable = straint_yy
  [../]
  [./straint_yz]
    type = PointValue
    point = '0 0 0'
    variable = straint_yz
  [../]
  [./straint_zx]
    type = PointValue
    point = '0 0 0'
    variable = straint_zx
  [../]
  [./straint_zy]
    type = PointValue
    point = '0 0 0'
    variable = straint_zy
  [../]
  [./straint_zz]
    type = PointValue
    point = '0 0 0'
    variable = straint_zz
  [../]
  [./f_shear]
    type = PointValue
    point = '0 0 0'
    variable = f_shear
  [../]
  [./f_tensile]
    type = PointValue
    point = '0 0 0'
    variable = f_tensile
  [../]
  [./f_compressive]
    type = PointValue
    point = '0 0 0'
    variable = f_compressive
  [../]
  [./intnl_shear]
    type = PointValue
    point = '0 0 0'
    variable = intnl_shear
  [../]
  [./intnl_tensile]
    type = PointValue
    point = '0 0 0'
    variable = intnl_tensile
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
  [./ls]
    type = PointValue
    point = '0 0 0'
    variable = ls
  [../]
[]
[UserObjects]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 20
  [../]
  [./tanphi]
    type = TensorMechanicsHardeningConstant
    value = 0.5
  [../]
  [./tanpsi]
    type = TensorMechanicsHardeningConstant
    value = 2.055555555556E-01
  [../]
  [./t_strength]
    type = TensorMechanicsHardeningConstant
    value = 100
  [../]
  [./c_strength]
    type = TensorMechanicsHardeningConstant
    value = 100
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeLayeredCosseratElasticityTensor
    young = 10.0
    poisson = 0.25
    layer_thickness = 10.0
    joint_normal_stiffness = 2.5
    joint_shear_stiffness = 2.0
  [../]
  [./strain]
    type = ComputeCosseratIncrementalSmallStrain
  [../]
  [./admissible]
    type = ComputeMultipleInelasticCosseratStress
    inelastic_models = stress
    perform_finite_strain_rotations = false
  [../]
  [./stress]
    type = CappedWeakPlaneCosseratStressUpdate
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    tensile_strength = t_strength
    compressive_strength = c_strength
    tip_smoother = 0
    smoothing_tol = 0
    yield_function_tol = 1E-5
  [../]
[]
[Preconditioning]
  [./andy]
    type = SMP
    full = true
  [../]
[]
[Executioner]
  solve_type = 'NEWTON'
  end_time = 1
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform_cosserat4
  csv = true
[]
(modules/tensor_mechanics/test/tests/capped_weak_plane/pull_and_shear_1step.i)
# Part of the bottom (minimum z) is pulled down by a Preset displacement
# This causes tensile failure in the elements immediately above.
# Because only the bottom row of elements ever fail, and because these
# fail in the first nonlinear step, Moose correctly converges in
# 1 nonlinear step, despite this problem being inelastic.
# (If the problem had lower cohesion, then the top row would also
# fail, but in the second nonlinear step, and so the simulation
# would require at least two nonlinear steps.)
[Mesh]
  [generated_mesh]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 2
    ny = 1
    nz = 2
    xmin = -10
    xmax = 10
    ymin = -10
    ymax = 10
    zmin = -100
    zmax = 0
  []
  [bottomz_middle]
    type = BoundingBoxNodeSetGenerator
    new_boundary = bottomz_middle
    bottom_left = '-1 -15 -105'
    top_right = '1 15 -95'
    input = generated_mesh
  []
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
  [../]
[]
[BCs]
  [./no_x2]
    type = DirichletBC
    variable = disp_x
    boundary = right
    value = 0.0
  [../]
  [./no_x1]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0.0
  [../]
  [./no_y1]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0.0
  [../]
  [./no_y2]
    type = DirichletBC
    variable = disp_y
    boundary = top
    value = 0.0
  [../]
  [./z_fixed_sides_xmin]
    type = DirichletBC
    variable = disp_z
    boundary = left
    value = 0
  [../]
  [./z_fixed_sides_xmax]
    type = DirichletBC
    variable = disp_z
    boundary = right
    value = 0
  [../]
  [./bottomz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = bottomz_middle
    function = -1
  [../]
[]
[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_compressive]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./ls]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./strainp_xx]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_xx
    index_i = 0
    index_j = 0
  [../]
  [./strainp_xy]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_xy
    index_i = 0
    index_j = 1
  [../]
  [./strainp_xz]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_xz
    index_i = 0
    index_j = 2
  [../]
  [./strainp_yy]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_yy
    index_i = 1
    index_j = 1
  [../]
  [./strainp_yz]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_yz
    index_i = 1
    index_j = 2
  [../]
  [./strainp_zz]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_zz
    index_i = 2
    index_j = 2
  [../]
  [./straint_xx]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_xx
    index_i = 0
    index_j = 0
  [../]
  [./straint_xy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_xy
    index_i = 0
    index_j = 1
  [../]
  [./straint_xz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_xz
    index_i = 0
    index_j = 2
  [../]
  [./straint_yy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_yy
    index_i = 1
    index_j = 1
  [../]
  [./straint_yz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_yz
    index_i = 1
    index_j = 2
  [../]
  [./straint_zz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_zz
    index_i = 2
    index_j = 2
  [../]
  [./f_shear]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f_shear
  [../]
  [./f_tensile]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f_tensile
  [../]
  [./f_compressive]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f_compressive
  [../]
  [./intnl_shear]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = intnl_shear
  [../]
  [./intnl_tensile]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 1
    variable = intnl_tensile
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./ls]
    type = MaterialRealAux
    property = plastic_linesearch_needed
    variable = ls
  [../]
[]
[UserObjects]
  [./coh_irrelevant]
    type = TensorMechanicsHardeningCubic
    value_0 = 1E60
    value_residual = 1E60
    internal_limit = 0.01E8
  [../]
  [./tanphi]
    type = TensorMechanicsHardeningCubic
    value_0 = 0.5
    value_residual = 0.2
    internal_limit = 0.01E8
  [../]
  [./tanpsi]
    type = TensorMechanicsHardeningConstant
    value = 0.166666666667
  [../]
  [./t_strength]
    type = TensorMechanicsHardeningConstant
    value = 0
  [../]
  [./c_strength]
    type = TensorMechanicsHardeningCubic
    value_0 = 1E80
    value_residual = 1E80
    internal_limit = 0.01
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '6.4E9 6.4E9'  # young 16MPa, Poisson 0.25
  [../]
  [./strain]
    type = ComputeIncrementalSmallStrain
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    inelastic_models = stress
    tangent_operator = nonlinear
    perform_finite_strain_rotations = false
  [../]
  [./stress]
    type = CappedWeakPlaneStressUpdate
    cohesion = coh_irrelevant
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    tensile_strength = t_strength
    compressive_strength = c_strength
    max_NR_iterations = 1
    tip_smoother = 0
    smoothing_tol = 0
    yield_function_tol = 1E-2
    perfect_guess = true
    min_step_size = 1
  [../]
[]
[Preconditioning]
  [./andy]
    type = SMP
    full = true
    petsc_options = '-snes_converged_reason -snes_linesearch_monitor'
    petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -ksp_type -ksp_gmres_restart'
    petsc_options_value = ' asm      2              lu            gmres     200'
  [../]
[]
[Executioner]
  solve_type = 'NEWTON'
  petsc_options = '-snes_converged_reason'
  line_search = bt
  nl_abs_tol = 1E1
  nl_rel_tol = 1e-5
  l_tol = 1E-10
  l_max_its = 100
  nl_max_its = 100
  end_time = 1.0
  dt = 1.0
  type = Transient
[]
[Outputs]
  file_base = pull_and_shear_1step
  exodus = true
[]
(modules/tensor_mechanics/test/tests/jacobian/mc_update16.i)
# MC update version, with only Compressive with compressive strength = 1MPa and smoothing_tol = 0.1E5
# Lame lambda = 1GPa.  Lame mu = 1.3GPa
# Units in this file are MPa (not Pa)
#
# Start from non-diagonal stress state with softening.
# Returns to the plane of compressive yield
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./cs]
    type = TensorMechanicsHardeningCubic
    value_0 = 1
    value_residual = 0.5
    internal_limit = 2E-2
  [../]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./ang]
    type = TensorMechanicsHardeningConstant
    value = 30
    convert_to_radians = true
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    lambda = 1.0E3
    shear_modulus = 1.3E3
  [../]
  [./strain]
    type = ComputeIncrementalSmallStrain
    displacements = 'disp_x disp_y disp_z'
    eigenstrain_names = ini_stress
  [../]
  [./ini_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = '1 -0.1 -0.2  -0.1 -15 0.3  -0.2 0.3 0'
    eigenstrain_name = ini_stress
  [../]
  [./cmc]
    type = CappedMohrCoulombStressUpdate
    tensile_strength = ts
    compressive_strength = cs
    cohesion = coh
    friction_angle = ang
    dilation_angle = ang
    smoothing_tol = 0.1
    yield_function_tol = 1.0E-12
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = cmc
    perform_finite_strain_rotations = false
  [../]
[]
[Preconditioning]
  [./andy]
    type = SMP
    full = true
    petsc_options_iname = '-snes_type'
    petsc_options_value = 'test'
  [../]
[]
[Executioner]
  type = Transient
  solve_type = Newton
[]
(modules/tensor_mechanics/test/tests/multi/special_rock1.i)
# Plasticity models:
# Mohr-Coulomb with cohesion = 40MPa, friction angle = 35deg, dilation angle = 5deg
# Tensile with strength = 1MPa
#
# Lame lambda = 1GPa.  Lame mu = 1.3GPa
#
# A line of elements is perturbed randomly, and return to the yield surface at each quadpoint is checked
#
# NOTE: The yield function tolerances here are set at 100-times what i would usually use
# This is because otherwise the test fails on the 'pearcey' architecture.
# This is because identical stress tensors yield slightly different eigenvalues
# (and hence return-map residuals) on 'pearcey' than elsewhere, which results in
# a different number of NR iterations are needed to return to the yield surface.
# This is presumably because of compiler internals, or the BLAS routines being
# optimised differently or something similar.
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1000
  ny = 125
  nz = 1
  xmin = 0
  xmax = 1000
  ymin = 0
  ymax = 125
  zmin = 0
  zmax = 1
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[GlobalParams]
  volumetric_locking_correction=true
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[ICs]
  [./x]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_x
  [../]
  [./y]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_y
  [../]
  [./z]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_z
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '0'
  [../]
[]
[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./linesearch]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./ld]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./constr_added]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./linesearch]
    type = MaterialRealAux
    property = plastic_linesearch_needed
    variable = linesearch
  [../]
  [./ld]
    type = MaterialRealAux
    property = plastic_linear_dependence_encountered
    variable = ld
  [../]
  [./constr_added]
    type = MaterialRealAux
    property = plastic_constraints_added
    variable = constr_added
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
[]
[Postprocessors]
  [./max_iter]
    type = ElementExtremeValue
    variable = iter
    outputs = console
  [../]
  [./av_linesearch]
    type = ElementAverageValue
    variable = linesearch
    outputs = 'console csv'
  [../]
  [./av_ld]
    type = ElementAverageValue
    variable = ld
    outputs = 'console csv'
  [../]
  [./av_constr_added]
    type = ElementAverageValue
    variable = constr_added
    outputs = 'console csv'
  [../]
  [./av_iter]
    type = ElementAverageValue
    variable = iter
    outputs = 'console csv'
  [../]
[]
[UserObjects]
  [./mc_coh]
    type = TensorMechanicsHardeningConstant
    value = 4E7
  [../]
  [./mc_phi]
    type = TensorMechanicsHardeningConstant
    value = 35
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = TensorMechanicsHardeningConstant
    value = 5
    convert_to_radians = true
  [../]
  [./mc]
    type = TensorMechanicsPlasticMohrCoulombMulti
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    use_custom_returnMap = false
    yield_function_tolerance = 1.0E+2  # Note larger value
    shift = 1.0E+2                     # Note larger value
    internal_constraint_tolerance = 1.0E-7
  [../]
  [./mc_smooth]
    type = TensorMechanicsPlasticMohrCoulomb
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    mc_tip_smoother = 4E6
    yield_function_tolerance = 1.0
    internal_constraint_tolerance = 1.0E-7
  [../]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./tensile]
    type = TensorMechanicsPlasticTensileMulti
    tensile_strength = ts
    yield_function_tolerance = 1.0E+2  # Note larger value
    shift = 1.0E+2                     # Note larger value
    internal_constraint_tolerance = 1.0E-7
    use_custom_returnMap = false
    use_custom_cto = false
  [../]
  [./tensile_smooth]
    type = TensorMechanicsPlasticTensile
    tensile_strength = ts
    tensile_tip_smoother = 1E5
    yield_function_tolerance = 1.0
    internal_constraint_tolerance = 1.0E-7
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '1.0E9 1.3E9'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./multi]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-5  # Note larger value, to match the larger yield_function_tolerances
    plastic_models = 'tensile mc'
    max_NR_iterations = 5
    specialIC = 'rock'
    deactivation_scheme = 'safe'
    min_stepsize = 1
    max_stepsize_for_dumb = 1
    debug_fspb = crash
    debug_jac_at_stress = '10 0 0 0 10 0 0 0 10'
    debug_jac_at_pm = '1 1 1 1'
    debug_jac_at_intnl = '1 1 1 1'
    debug_stress_change = 1E1
    debug_pm_change = '1E-6 1E-6 1E-6 1E-6'
    debug_intnl_change = '1E-6 1E-6 1E-6 1E-6'
  [../]
[]
[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = special_rock1
  exodus = false
  csv = true
[]
(modules/tensor_mechanics/test/tests/mohr_coulomb/uni_axial2_planar.i)
# same as uni_axial2 but with planar mohr-coulomb
[Mesh]
  type = FileMesh
  file = quarter_hole.e
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[BCs]
  [./zmin_zzero]
    type = DirichletBC
    variable = disp_z
    boundary = 'zmin'
    value = '0'
  [../]
  [./xmin_xzero]
    type = DirichletBC
    variable = disp_x
    boundary = 'xmin'
    value = '0'
  [../]
  [./ymin_yzero]
    type = DirichletBC
    variable = disp_y
    boundary = 'ymin'
    value = '0'
  [../]
  [./ymax_disp]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'ymax'
    function = '-1E-4*t'
  [../]
[]
[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mc_int]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./mc_int_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_internal_parameter
    variable = mc_int
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0.005 0.02 0.002'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0.005 0.02 0.002'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0.005 0.02 0.002'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0.005 0.02 0.002'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0.005 0.02 0.002'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0.005 0.02 0.002'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0.005 0.02 0.002'
    variable = yield_fcn
  [../]
[]
[UserObjects]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 1E7
  [../]
  [./fric]
    type = TensorMechanicsHardeningConstant
    value = 2
    convert_to_radians = true
  [../]
  [./dil]
    type = TensorMechanicsHardeningConstant
    value = 2
    convert_to_radians = true
  [../]
  [./mc]
    type = TensorMechanicsPlasticMohrCoulombMulti
    cohesion = coh
    friction_angle = fric
    dilation_angle = dil
    yield_function_tolerance = 1.0 # THIS IS HIGHER THAN THE SMOOTH CASE TO AVOID PRECISION-LOSS PROBLEMS!
    shift = 1.0
    internal_constraint_tolerance = 1E-9
    use_custom_returnMap = false
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 1
    fill_method = symmetric_isotropic
    C_ijkl = '0 5E9' # young = 10Gpa, poisson = 0.0
  [../]
  [./strain]
    type = ComputeIncrementalSmallStrain
    block = 1
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 1
    ep_plastic_tolerance = 1E-9
    plastic_models = mc
    max_NR_iterations = 100
    deactivation_scheme = 'safe'
    min_stepsize = 1
    max_stepsize_for_dumb = 1
    debug_fspb = crash
  [../]
[]
# Preconditioning and Executioner options kindly provided by Andrea
[Preconditioning]
  [./andy]
    type = SMP
    full = true
  [../]
[]
[Executioner]
  end_time = 0.5
  dt = 0.1
  solve_type = NEWTON
  type = Transient
[]
[Outputs]
  file_base = uni_axial2_planar
  [./exodus]
    type = Exodus
    hide = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz yield_fcn s_xx s_xy s_xz s_yy s_yz s_zz f'
  [../]
  [./csv]
    type = CSV
    interval = 1
  [../]
[]
(modules/tensor_mechanics/test/tests/jacobian/cwp09.i)
# Capped weak-plane plasticity
# checking jacobian for tensile failure with hardening
[Mesh]
  type = GeneratedMesh
  dim = 3
[]
[GlobalParams]
  block = 0
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[UserObjects]
  [./coh]
    type = TensorMechanicsHardeningExponential
    value_0 = 100
    value_residual = 100
    rate = 1
  [../]
  [./tanphi]
    type = TensorMechanicsHardeningExponential
    value_0 = 1.0
    value_residual = 1.0
    rate = 2
  [../]
  [./tanpsi]
    type = TensorMechanicsHardeningExponential
    value_0 = 0.1
    value_residual = 0.1
    rate = 1
  [../]
  [./t_strength]
    type = TensorMechanicsHardeningExponential
    value_0 = 1
    value_residual = 2
    rate = 1
  [../]
  [./c_strength]
    type = TensorMechanicsHardeningConstant
    value = 100
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    lambda = 1.0
    shear_modulus = 2.0
  [../]
  [./strain]
    type = ComputeIncrementalSmallStrain
    displacements = 'disp_x disp_y disp_z'
    eigenstrain_names = ini_stress
  [../]
  [./ini_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = '0 0 2  0 0 -1  2 -1 1.5'
    eigenstrain_name = ini_stress
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    inelastic_models = mc
    tangent_operator = nonlinear
  [../]
  [./mc]
    type = CappedWeakPlaneStressUpdate
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    tensile_strength = t_strength
    compressive_strength = c_strength
    max_NR_iterations = 20
    tip_smoother = 0
    smoothing_tol = 2
    yield_function_tol = 1E-10
  [../]
[]
[Preconditioning]
  [./andy]
    type = SMP
    full = true
    petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it -snes_type'
    petsc_options_value = 'bcgs bjacobi 1E-15 1E-10 10000 test'
  [../]
[]
[Executioner]
  type = Transient
  solve_type = Newton
[]
(modules/tensor_mechanics/test/tests/jacobian/mc_update13.i)
# MC update version, with only Compressive with compressive strength = 1MPa and smoothing_tol = 0.1E5
# Lame lambda = 1GPa.  Lame mu = 1.3GPa
# Units in this file are MPa (not Pa)
#
# Return to the stress_I = stress_II = stress_III ~1 tip
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./cs]
    type = TensorMechanicsHardeningConstant
    value = 1
  [../]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./ang]
    type = TensorMechanicsHardeningConstant
    value = 30
    convert_to_radians = true
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    lambda = 1.0E3
    shear_modulus = 1.3E3
  [../]
  [./strain]
    type = ComputeIncrementalSmallStrain
    displacements = 'disp_x disp_y disp_z'
    eigenstrain_names = ini_stress
  [../]
  [./ini_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = '-2 0 0  0 -1.9 0  0 0 -2.1'
    eigenstrain_name = ini_stress
  [../]
  [./cmc]
    type = CappedMohrCoulombStressUpdate
    tensile_strength = ts
    compressive_strength = cs
    cohesion = coh
    friction_angle = ang
    dilation_angle = ang
    smoothing_tol = 0.1
    yield_function_tol = 1.0E-12
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = cmc
    perform_finite_strain_rotations = false
  [../]
[]
[Preconditioning]
  [./andy]
    type = SMP
    full = true
    petsc_options_iname = '-snes_type'
    petsc_options_value = 'test'
  [../]
[]
[Executioner]
  type = Transient
  solve_type = Newton
[]
(modules/tensor_mechanics/test/tests/capped_drucker_prager/small_deform2_lode_zero.i)
# apply repeated stretches in x, y and z directions, so that mean_stress = 0
# This maps out the yield surface in the octahedral plane for zero mean stress
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '-1.5E-6*x+2E-6*x*sin(t)'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '2E-6*y*sin(2*t)'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '-2E-6*z*(sin(t)+sin(2*t))'
  [../]
[]
[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 1000
  [../]
  [./cs]
    type = TensorMechanicsHardeningConstant
    value = 1000
  [../]
  [./mc_coh]
    type = TensorMechanicsHardeningConstant
    value = 10
  [../]
  [./mc_phi]
    type = TensorMechanicsHardeningConstant
    value = 20
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = TensorMechanicsHardeningConstant
    value = 0
  [../]
  [./dp]
    type = TensorMechanicsPlasticDruckerPrager
    mc_cohesion = mc_coh
    mc_friction_angle = mc_phi
    mc_dilation_angle = mc_psi
    mc_interpolation_scheme = lode_zero
    internal_constraint_tolerance = 1 # irrelevant here
    yield_function_tolerance = 1      # irrelevant here
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    block = 0
    lambda = 0.0
    shear_modulus = 1.0e7
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    inelastic_models = cdp
    perform_finite_strain_rotations = false
  [../]
  [./cdp]
    type = CappedDruckerPragerStressUpdate
    DP_model = dp
    tensile_strength = ts
    compressive_strength = cs
    yield_function_tol = 1E-8
    tip_smoother = 4
    smoothing_tol = 1E-5
  [../]
[]
[Executioner]
  end_time = 100
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform2_lode_zero
  exodus = false
  [./csv]
    type = CSV
  [../]
[]
(modules/tensor_mechanics/test/tests/jacobian/mc_update33.i)
# MC update version, with only MohrCoulomb, cohesion=40, friction angle = 35deg, psi = 5deg, smoothing_tol = 0.5
# Compressive strength = 1MPa
# Lame lambda = 1E3.  Lame mu = 1.3E3
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./cs]
    type = TensorMechanicsHardeningConstant
    value = 1
  [../]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 4E1
  [../]
  [./phi]
    type = TensorMechanicsHardeningConstant
    value = 35
    convert_to_radians = true
  [../]
  [./psi]
    type = TensorMechanicsHardeningConstant
    value = 5
    convert_to_radians = true
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    lambda = 0.5
    shear_modulus = 1.0
  [../]
  [./strain]
    type = ComputeIncrementalSmallStrain
    displacements = 'disp_x disp_y disp_z'
    eigenstrain_names = ini_stress
  [../]
  [./ini_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = '-10 -12 14  -12 -5 -20  14 -20 -8'
    eigenstrain_name = ini_stress
  [../]
  [./cmc]
    type = CappedMohrCoulombStressUpdate
    tensile_strength = ts
    compressive_strength = cs
    cohesion = coh
    friction_angle = phi
    dilation_angle = psi
    smoothing_tol = 0.5
    yield_function_tol = 1.0E-12
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = cmc
    perform_finite_strain_rotations = false
  [../]
[]
[Preconditioning]
  [./andy]
    type = SMP
    full = true
    petsc_options_iname = '-snes_type'
    petsc_options_value = 'test'
  [../]
[]
[Executioner]
  type = Transient
  solve_type = Newton
[]
(modules/tensor_mechanics/test/tests/tensile/planar3.i)
# checking for small deformation
# A single element is stretched by 1E-6m in the z and x directions, with lame mu = 1E6, so trial stress is 2Pa in those directions
# tensile_strength is set to 1Pa
# Then the final stress should return to the z and x stresses being 1.0 (up to tolerance), and internal parameter = (0.5+0.5)E-6 = 1.0E-6
# Using 'planar' Tensile plasticity
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    incremental = true
    strain = finite
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '1E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z'
  [../]
[]
[AuxVariables]
  [./f0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./f0_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f0
  [../]
  [./f1_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f1
  [../]
  [./f2_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f2
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./intnl_auxk]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = intnl
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = f0
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = f1
  [../]
  [./f2]
    type = PointValue
    point = '0 0 0'
    variable = f2
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
    outputs = console
  [../]
  [./intnl]
    type = PointValue
    point = '0 0 0'
    variable = intnl
  [../]
[]
[UserObjects]
  [./hard]
    type = TensorMechanicsHardeningConstant
    value = 1
  [../]
  [./tens]
    type = TensorMechanicsPlasticTensileMulti
    tensile_strength = hard
    yield_function_tolerance = 1E-6
    internal_constraint_tolerance = 1E-5
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E6'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-5
    max_NR_iterations = 4
    min_stepsize = 1
    plastic_models = tens
    debug_fspb = crash
    debug_jac_at_stress = '1 2 3 2 -4 -5 3 -5 10'
    debug_jac_at_pm = '0.1 0.2 0.3'
    debug_jac_at_intnl = 1E-6
    debug_stress_change = 1E-6
    debug_pm_change = '1E-6 1E-6 1E-6'
    debug_intnl_change = 1E-6
  [../]
[]
[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = planar3
  exodus = false
  [./csv]
    type = CSV
    [../]
[]
(modules/tensor_mechanics/test/tests/tensile/small_deform1_update_version.i)
# Using TensileStressUpdate
# checking for small deformation
# A single element is stretched by 1E-6m in z direction, and by small amounts in x and y directions
# stress_zz = Youngs Modulus*Strain = 2E6*1E-6 = 2 Pa
# tensile_strength is set to 1Pa
# Then the final stress should return to the yeild surface and the maximum principal stress value should be 1pa.
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
  [GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    incremental = true
    strain = finite
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0.1E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0.2E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z'
  [../]
[]
[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = yield_fcn
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 1
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 2.0E6'
  [../]
  [./tensile]
    type = TensileStressUpdate
    tensile_strength = ts
    smoothing_tol = 0.0
    yield_function_tol = 1.0E-9
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = tensile
    perform_finite_strain_rotations = false
  [../]
[]
[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform1_update_version
  exodus = false
  [./csv]
    type = CSV
    [../]
[]
(modules/tensor_mechanics/test/tests/jacobian/cdp_cwp_coss02.i)
#Cosserat capped weak plane and capped drucker prager, coming back to a mix of shear and tensile failure in both
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  Cosserat_rotations = 'wc_x wc_y wc_z'
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
  [./wc_x]
  [../]
  [./wc_y]
  [../]
[]
[Kernels]
  [./cx_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_x
    component = 0
  [../]
  [./cy_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_y
    component = 1
  [../]
  [./cz_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_z
    component = 2
  [../]
  [./x_couple]
    type = StressDivergenceTensors
    variable = wc_x
    displacements = 'wc_x wc_y wc_z'
    component = 0
    base_name = couple
  [../]
  [./y_couple]
    type = StressDivergenceTensors
    variable = wc_y
    displacements = 'wc_x wc_y wc_z'
    component = 1
    base_name = couple
  [../]
  [./x_moment]
    type = MomentBalancing
    variable = wc_x
    component = 0
  [../]
  [./y_moment]
    type = MomentBalancing
    variable = wc_y
    component = 1
  [../]
[]
[AuxVariables]
  [./wc_z]
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 10
  [../]
  [./cs]
    type = TensorMechanicsHardeningConstant
    value = 10
  [../]
  [./mc_coh]
    type = TensorMechanicsHardeningConstant
    value = 10
  [../]
  [./phi]
    type = TensorMechanicsHardeningConstant
    value = 0.8
  [../]
  [./psi]
    type = TensorMechanicsHardeningConstant
    value = 0.4
  [../]
  [./dp]
    type = TensorMechanicsPlasticDruckerPragerHyperbolic
    mc_cohesion = mc_coh
    mc_friction_angle = phi
    mc_dilation_angle = psi
    yield_function_tolerance = 1E-11     # irrelevant here
    internal_constraint_tolerance = 1E-9 # irrelevant here
  [../]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 2
  [../]
  [./tanphi]
    type = TensorMechanicsHardeningConstant
    value = 0.5
  [../]
  [./tanpsi]
    type = TensorMechanicsHardeningConstant
    value = 2.055555555556E-01
  [../]
  [./t_strength]
    type = TensorMechanicsHardeningConstant
    value = 1
  [../]
  [./c_strength]
    type = TensorMechanicsHardeningConstant
    value = 100
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeLayeredCosseratElasticityTensor
    young = 10.0
    poisson = 0.25
    layer_thickness = 10.0
    joint_normal_stiffness = 2.5
    joint_shear_stiffness = 2.0
  [../]
  [./strain]
    type = ComputeCosseratIncrementalSmallStrain
    eigenstrain_names = ini_stress
  [../]
  [./ini_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = '1 0.1 0  0.1 2 0  11 12 10' # note unsymmetric
    eigenstrain_name = ini_stress
  [../]
  [./admissible]
    type = ComputeMultipleInelasticCosseratStress
    inelastic_models = 'dp wp'
    relative_tolerance = 2.0
    absolute_tolerance = 1E6
    max_iterations = 1
  [../]
  [./dp]
    type = CappedDruckerPragerCosseratStressUpdate
    host_youngs_modulus = 10.0
    host_poissons_ratio = 0.25
    base_name = dp
    DP_model = dp
    tensile_strength = ts
    compressive_strength = cs
    yield_function_tol = 1E-11
    tip_smoother = 1
    smoothing_tol = 1
  [../]
  [./wp]
    type = CappedWeakPlaneCosseratStressUpdate
    base_name = wp
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    tensile_strength = t_strength
    compressive_strength = c_strength
    tip_smoother = 0.1
    smoothing_tol = 0.1
    yield_function_tol = 1E-11
  [../]
[]
[Preconditioning]
  [./andy]
    type = SMP
    full = true
    #petsc_options = '-snes_test_display'
    petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it -snes_type'
    petsc_options_value = 'bcgs bjacobi 1E-15 1E-10 10000 test'
  [../]
[]
[Executioner]
  solve_type = 'NEWTON'
  end_time = 1
  dt = 1
  type = Transient
[]
(modules/tensor_mechanics/test/tests/jacobian/cwp04.i)
# Capped weak-plane plasticity
# checking jacobian for tensile failure, with some shear
[Mesh]
  type = GeneratedMesh
  dim = 3
[]
[GlobalParams]
  block = 0
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[UserObjects]
  [./coh]
    type = TensorMechanicsHardeningExponential
    value_0 = 100
    value_residual = 2
    rate = 1
  [../]
  [./tanphi]
    type = TensorMechanicsHardeningExponential
    value_0 = 1.0
    value_residual = 0.5
    rate = 2
  [../]
  [./tanpsi]
    type = TensorMechanicsHardeningExponential
    value_0 = 0.1
    value_residual = 0.05
    rate = 1
  [../]
  [./t_strength]
    type = TensorMechanicsHardeningExponential
    value_0 = 1
    value_residual = 1
    rate = 1
  [../]
  [./c_strength]
    type = TensorMechanicsHardeningConstant
    value = 100
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    lambda = 1.0
    shear_modulus = 2.0
  [../]
  [./strain]
    type = ComputeIncrementalSmallStrain
    displacements = 'disp_x disp_y disp_z'
    eigenstrain_names = ini_stress
  [../]
  [./ini_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = '0 0 0  0 0 1  0 1 2'
    eigenstrain_name = ini_stress
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    inelastic_models = mc
    tangent_operator = nonlinear
  [../]
  [./mc]
    type = CappedWeakPlaneStressUpdate
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    tensile_strength = t_strength
    compressive_strength = c_strength
    max_NR_iterations = 20
    tip_smoother = 1
    smoothing_tol = 2
    yield_function_tol = 1E-10
  [../]
[]
[Preconditioning]
  [./andy]
    type = SMP
    full = true
    #petsc_options = '-snes_test_display'
    petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it -snes_type'
    petsc_options_value = 'bcgs bjacobi 1E-15 1E-10 10000 test'
  [../]
[]
[Executioner]
  type = Transient
  solve_type = Newton
[]
(modules/tensor_mechanics/test/tests/tensile/random_smoothed.i)
# Plasticity models:
# Smoothed tensile with strength = 1MPa
#
# Lame lambda = 1GPa.  Lame mu = 1.3GPa
#
# A line of elements is perturbed randomly, and return to the yield surface at each quadpoint is checked
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1000
  ny = 1234
  nz = 1
  xmin = 0
  xmax = 1000
  ymin = 0
  ymax = 1234
  zmin = 0
  zmax = 1
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    incremental = true
    strain = finite
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]
[ICs]
  [./x]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_x
  [../]
  [./y]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_y
  [../]
  [./z]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_z
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '0'
  [../]
[]
[AuxVariables]
  [./f0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./f0]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f0
  [../]
  [./int0]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 0
    variable = int0
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
[]
[Postprocessors]
  [./tot_iters]
    type = ElementIntegralMaterialProperty
    mat_prop = plastic_NR_iterations
    outputs = console
  [../]
  [./raw_f0]
    type = ElementExtremeValue
    variable = f0
    outputs = console
  [../]
  [./iter]
    type = ElementExtremeValue
    variable = iter
    outputs = console
  [../]
  [./f0]
    type = FunctionValuePostprocessor
    function = should_be_zero0_fcn
  [../]
[]
[Functions]
  [./should_be_zero0_fcn]
    type = ParsedFunction
    value = 'if(a<1E-1,0,a)'
    vars = 'a'
    vals = 'raw_f0'
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./tensile]
    type = TensorMechanicsPlasticTensile
    tensile_strength = ts
    tensile_tip_smoother = 1E5
    yield_function_tolerance = 1.0E-1
    internal_constraint_tolerance = 1.0E-7
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '1E9 1.3E9'
  [../]
  [./multi]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-7
    plastic_models = 'tensile'
    max_NR_iterations = 20
    min_stepsize = 1E-4
    max_stepsize_for_dumb = 1E-3
    debug_fspb = crash
    debug_jac_at_stress = '10 0 0 0 10 0 0 0 10'
    debug_jac_at_pm = '1 1 1 1'
    debug_jac_at_intnl = '1 1 1 1'
    debug_stress_change = 1E1
    debug_pm_change = '1E-6 1E-6 1E-6 1E-6'
    debug_intnl_change = '1E-6 1E-6 1E-6 1E-6'
  [../]
[]
[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = random_smoothed
  exodus = false
  [./csv]
    type = CSV
    [../]
[]
(modules/tensor_mechanics/test/tests/mohr_coulomb/small_deform2.i)
# apply repeated stretches in x, y and z directions, so that mean_stress = 0
# This maps out the yield surface in the octahedral plane for zero mean stress
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '2E-6*x*sin(t)'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '2E-6*y*sin(2*t)'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '-2E-6*z*(sin(t)+sin(2*t))'
  [../]
[]
[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]
[UserObjects]
  [./mc_coh]
    type = TensorMechanicsHardeningConstant
    value = 10
  [../]
  [./mc_phi]
    type = TensorMechanicsHardeningConstant
    value = 20
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = TensorMechanicsHardeningConstant
    value = 0
  [../]
  [./mc]
    type = TensorMechanicsPlasticMohrCoulomb
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    mc_tip_smoother = 4
    mc_edge_smoother = 20
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-9
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = mc
    debug_fspb = crash
  [../]
[]
[Executioner]
  end_time = 100
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform2
  exodus = false
  [./csv]
    type = CSV
    [../]
[]
(modules/tensor_mechanics/test/tests/capped_mohr_coulomb/small_deform3.i)
# Using CappedMohrCoulomb with tensile failure only
# checking for small deformation
# A single element is stretched by "ep" in the z and x directions
# This causes the return direction to be along the hypersurface sigma_I = sigma_II
# where sigma_I = (E_2222 + E_2200) * ep
# tensile_strength is set to 1Pa, smoothing_tol = 0.1Pa
# The smoothed yield function is
# yf = sigma_I + ismoother(0) - tensile_strength
#    = sigma_I + (0.5 * smoothing_tol - smoothing_tol / Pi) - tensile_strength
#    = sigma_I - 0.98183
#
# With zero Poisson's ratio, the return stress will be
# stress_00 = stress_22 = 0.98183
# with all other stress components being zero
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'max_principal_stress mid_principal_stress min_principal_stress stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0.25E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '0.25E-6*z'
  [../]
[]
[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = yield_fcn
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 1
  [../]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./ang]
    type = TensorMechanicsHardeningConstant
    value = 0.5
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 2.0E6'
  [../]
  [./tensile]
    type = CappedMohrCoulombStressUpdate
    tensile_strength = ts
    compressive_strength = ts
    cohesion = coh
    friction_angle = ang
    dilation_angle = ang
    smoothing_tol = 0.1
    yield_function_tol = 1.0E-12
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = tensile
    perform_finite_strain_rotations = false
  [../]
[]
[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform3
  csv = true
[]
(modules/tensor_mechanics/test/tests/capped_mohr_coulomb/small_deform21.i)
# Mohr-Coulomb only
# apply repeated stretches in x, y and z directions, so that mean_stress = 0
# This maps out the yield surface in the octahedral plane for zero mean stress
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'max_principal_stress mid_principal_stress min_principal_stress stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '2E-6*x*sin(t)'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '2E-6*y*sin(2*t)'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '-2E-6*z*(sin(t)+sin(2*t))'
  [../]
[]
[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 6
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./mc_coh]
    type = TensorMechanicsHardeningConstant
    value = 10
  [../]
  [./mc_phi]
    type = TensorMechanicsHardeningConstant
    value = 20
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = TensorMechanicsHardeningConstant
    value = 1E-12
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./mc]
    type = CappedMohrCoulombStressUpdate
    tensile_strength = ts
    compressive_strength = ts
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    smoothing_tol = 1
    yield_function_tol = 1.0E-9
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = mc
    perform_finite_strain_rotations = false
  [../]
[]
[Executioner]
  end_time = 100
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform21
  csv = true
[]
(modules/tensor_mechanics/test/tests/tensile/small_deform3_update_version.i)
# Using TensileStressUpdate
# checking for small deformation
# A single element is stretched by "ep" in the z and x directions
# This causes the return direction to be along the hypersurface sigma_I = sigma_II
# where sigma_I = (E_2222 + E_2200) * ep
# tensile_strength is set to 1Pa, smoothing_tol = 0.1Pa
# The smoothed yield function is
# yf = sigma_I + ismoother(0) - tensile_strength
#    = sigma_I + (0.5 * smoothing_tol - smoothing_tol / Pi) - tensile_strength
#    = sigma_I - 0.98183
#
# With zero Poisson's ratio, the return stress will be
# stress_00 = stress_22 = 0.98183
# with all other stress components being zero
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    incremental = true
    strain = finite
    generate_output = 'max_principal_stress mid_principal_stress min_principal_stress stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0.25E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '0.25E-6*z'
  [../]
[]
[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = yield_fcn
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 1
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 2.0E6'
  [../]
  [./tensile]
    type = TensileStressUpdate
    tensile_strength = ts
    smoothing_tol = 0.1
    yield_function_tol = 1.0E-9
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = tensile
    perform_finite_strain_rotations = false
  [../]
[]
[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform3_update_version
  exodus = false
  [./csv]
    type = CSV
    [../]
[]
(modules/tensor_mechanics/test/tests/mohr_coulomb/small_deform_hard2.i)
# apply uniform stretches in x, y and z directions.
# let friction_angle = 60deg, friction_angle_residual=10deg, friction_angle_rate = 0.5E4
# With cohesion = C, friction_angle = phi, tip_smoother = T, the
# algorithm should return to
# sigma_m = (C*Cos(phi) - T)/Sin(phi)
# Or, when T=C,
# phi = 2*pi*n - 2*arctan(sigma_m/C)
# This allows checking of the relationship for phi
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '1E-6*x*t'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '1E-6*y*t'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z*t'
  [../]
[]
[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mc_int]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./mc_int_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_internal_parameter
    variable = mc_int
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./internal]
    type = PointValue
    point = '0 0 0'
    variable = mc_int
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]
[UserObjects]
  [./mc_coh]
    type = TensorMechanicsHardeningConstant
    value = 10
  [../]
  [./mc_phi]
    type = TensorMechanicsHardeningExponential
    value_0 = 1.04719755 # 60deg
    value_residual = 0.17453293 # 10deg
    rate = 0.5E4
  [../]
  [./mc_psi]
    type = TensorMechanicsHardeningConstant
    value = 5
    convert_to_radians = true
  [../]
  [./mc]
    type = TensorMechanicsPlasticMohrCoulomb
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    mc_tip_smoother = 10
    mc_edge_smoother = 25
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-9
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = mc
    debug_fspb = crash
    debug_jac_at_stress = '10 1 2 1 10 3 2 3 10'
    debug_jac_at_pm = 1
    debug_jac_at_intnl = 1E-3
    debug_stress_change = 1E-5
    debug_pm_change = 1E-6
    debug_intnl_change = 1E-6
  [../]
[]
[Executioner]
  end_time = 10
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform_hard2
  exodus = false
  [./csv]
    type = CSV
    [../]
[]
(modules/tensor_mechanics/test/tests/drucker_prager/small_deform3_outer_tip.i)
# apply repeated stretches in x z directions, and smaller stretches along the y direction,
# so that sigma_I = sigma_II,
# which means that lode angle = 30deg.
# The allows yield surface in meridional plane to be mapped out
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '1E-6*x*t'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '-1.7E-6*y*t'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z*t'
  [../]
[]
[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mc_int]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./mc_int_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_internal_parameter
    variable = mc_int
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./internal]
    type = PointValue
    point = '0 0 0'
    variable = mc_int
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]
[UserObjects]
  [./mc_coh]
    type = TensorMechanicsHardeningConstant
    value = 10
  [../]
  [./mc_phi]
    type = TensorMechanicsHardeningConstant
    value = 35
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = TensorMechanicsHardeningConstant
    value = 5
    convert_to_radians = true
  [../]
  [./mc]
    type = TensorMechanicsPlasticDruckerPragerHyperbolic
    mc_cohesion = mc_coh
    mc_friction_angle = mc_phi
    mc_dilation_angle = mc_psi
    smoother = 8
    mc_interpolation_scheme = outer_tip
    yield_function_tolerance = 1E-7
    internal_constraint_tolerance = 1E-9
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./strain]
    type = ComputeIncrementalSmallStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-13
    plastic_models = mc
    debug_fspb = crash
  [../]
[]
[Executioner]
  end_time = 10
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform3_outer_tip
  exodus = false
  [./csv]
    type = CSV
    [../]
[]
(modules/tensor_mechanics/test/tests/isotropicSD_plasticity/isotropicSD.i)
# UserObject IsotropicSD test, with constant hardening.
# Linear strain is applied in the x and y direction.
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin =  -.5
  xmax = .5
  ymin = -.5
  ymax = .5
  zmin = -.5
  zmax = .5
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[BCs]
  [./xdisp]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'right'
    function = '0.005*t'
  [../]
  [./ydisp]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'top'
    function = '0.005*t'
  [../]
  [./yfix]
    type = DirichletBC
    variable = disp_y
    boundary = 'bottom'
    value = 0
  [../]
  [./xfix]
    type = DirichletBC
    variable = disp_x
    boundary = 'left'
    value = 0
  [../]
  [./zfix]
    type = DirichletBC
    variable = disp_z
    boundary = 'back'
    value = 0
  [../]
[]
[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./plastic_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./plastic_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./plastic_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./plastic_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./plastic_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./plastic_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./sdev]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./sdet]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./plastic_xx]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = plastic_xx
    index_i = 0
    index_j = 0
  [../]
  [./plastic_xy]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = plastic_xy
    index_i = 0
    index_j = 1
  [../]
  [./plastic_xz]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = plastic_xz
    index_i = 0
    index_j = 2
  [../]
  [./plastic_yy]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = plastic_yy
    index_i = 1
    index_j = 1
  [../]
  [./plastic_yz]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = plastic_yz
    index_i = 1
    index_j = 2
  [../]
  [./plastic_zz]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = plastic_zz
    index_i = 2
    index_j = 2
  [../]
  [./f]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = f
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./intnl]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_internal_parameter
    variable = intnl
  [../]
  [./sdev]
    type = RankTwoScalarAux
    variable = sdev
    rank_two_tensor = stress
    scalar_type = VonMisesStress
  [../]
[]
[Postprocessors]
  [./sdev]
    type = PointValue
    point = '0 0 0'
    variable = sdev
  [../]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./p_xx]
    type = PointValue
    point = '0 0 0'
    variable = plastic_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./p_xy]
    type = PointValue
    point = '0 0 0'
    variable = plastic_xy
  [../]
  [./p_xz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_xz
  [../]
  [./p_yz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_yz
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./p_yy]
    type = PointValue
    point = '0 0 0'
    variable = plastic_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./p_zz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_zz
  [../]
  [./intnl]
    type = PointValue
    point = '0 0 0'
    variable = intnl
  [../]
[]
[UserObjects]
  [./str]
    type = TensorMechanicsHardeningConstant
    value = 300
  [../]
  [./IsotropicSD]
    type = TensorMechanicsPlasticIsotropicSD
    b = -0.2
    c = -0.779422863
    associative = true
    yield_strength = str
    yield_function_tolerance = 1e-5
    internal_constraint_tolerance = 1e-9
    use_custom_returnMap = false
    use_custom_cto = false
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '121e3 80e3'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1e-9
    plastic_models = IsotropicSD
    debug_fspb = crash
    tangent_operator = elastic
  [../]
[]
[Executioner]
  num_steps = 3
  dt = .5
  type = Transient
  nl_rel_tol = 1e-6
  nl_max_its = 10
  l_tol = 1e-4
  l_max_its = 50
  solve_type = PJFNK
  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'
[]
[Outputs]
  perf_graph = false
  csv = true
[]
[Preconditioning]
 [./smp]
   type = SMP
   full = true
 [../]
[]
(modules/tensor_mechanics/test/tests/drucker_prager/small_deform2_inner_edge.i)
# apply repeated stretches in x, y and z directions, so that mean_stress = 0
# This maps out the yield surface in the octahedral plane for zero mean stress
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '-1.5E-6*x+2E-6*x*sin(t)'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '2E-6*y*sin(2*t)'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '-2E-6*z*(sin(t)+sin(2*t))'
  [../]
[]
[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]
[UserObjects]
  [./mc_coh]
    type = TensorMechanicsHardeningConstant
    value = 10
  [../]
  [./mc_phi]
    type = TensorMechanicsHardeningConstant
    value = 20
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = TensorMechanicsHardeningConstant
    value = 0
  [../]
  [./mc]
    type = TensorMechanicsPlasticDruckerPragerHyperbolic
    mc_cohesion = mc_coh
    mc_friction_angle = mc_phi
    mc_dilation_angle = mc_psi
    smoother = 4
    mc_interpolation_scheme = inner_edge
    yield_function_tolerance = 1E-5
    internal_constraint_tolerance = 1E-11
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./strain]
    type = ComputeIncrementalSmallStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-12
    plastic_models = mc
    debug_fspb = crash
  [../]
[]
[Executioner]
  end_time = 100
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform2_inner_edge
  exodus = false
  [./csv]
    type = CSV
    [../]
[]
(modules/tensor_mechanics/test/tests/drucker_prager/random_hyperbolic.i)
# drucker-prager hyperbolic.
# apply many random large deformations, checking that the algorithm returns correctly to
# the yield surface each time.
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 100
  ny = 125
  nz = 1
  xmin = 0
  xmax = 100
  ymin = 0
  ymax = 125
  zmin = 0
  zmax = 1
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[ICs]
  [./x]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_x
  [../]
  [./y]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_y
  [../]
  [./z]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_z
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '0'
  [../]
[]
[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
[]
[Postprocessors]
  [./yield_fcn_at_zero]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
    outputs = 'console'
  [../]
  [./should_be_zero]
    type = FunctionValuePostprocessor
    function = should_be_zero_fcn
  [../]
  [./av_iter]
    type = ElementAverageValue
    variable = iter
    outputs = 'console'
  [../]
[]
[Functions]
  [./should_be_zero_fcn]
    type = ParsedFunction
    value = 'if(a<1E-3,0,a)'
    vars = 'a'
    vals = 'yield_fcn_at_zero'
  [../]
[]
[UserObjects]
  [./mc_coh]
    type = TensorMechanicsHardeningConstant
    value = 1E3
  [../]
  [./mc_phi]
    type = TensorMechanicsHardeningConstant
    value = 30
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = TensorMechanicsHardeningConstant
    value = 5
    convert_to_radians = true
  [../]
  [./dp]
    type = TensorMechanicsPlasticDruckerPragerHyperbolic
    mc_cohesion = mc_coh
    mc_friction_angle = mc_phi
    mc_dilation_angle = mc_psi
    smoother = 0.1E3
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-6
    use_custom_returnMap = true
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0.7E7 1E7'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./dp]
    type = ComputeMultiPlasticityStress
    block = 0
    max_NR_iterations = 1000
    ep_plastic_tolerance = 1E-6
    min_stepsize = 1E-3
    plastic_models = dp
    debug_fspb = crash
    deactivation_scheme = safe
  [../]
[]
[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = random_hyperbolic
  exodus = false
  [./csv]
    type = CSV
    [../]
[]
(modules/tensor_mechanics/test/tests/capped_mohr_coulomb/small_deform7.i)
# Using CappedMohrCoulomb with tensile failure only
# A single element is incrementally stretched in the in the z and x directions
# This causes the return direction to be along the hypersurface sigma_I = sigma_II
# and the resulting stresses are checked to lie on the expected yield surface
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    strain = finite
    incremental = true
    generate_output = 'max_principal_stress mid_principal_stress min_principal_stress stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '4*x*t'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '1*y*t'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '4*z*t'
  [../]
[]
[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = yield_fcn
  [../]
[]
[Postprocessors]
  [./s_I]
    type = PointValue
    point = '0 0 0'
    variable = max_principal_stress
  [../]
  [./s_II]
    type = PointValue
    point = '0 0 0'
    variable = mid_principal_stress
  [../]
  [./s_III]
    type = PointValue
    point = '0 0 0'
    variable = min_principal_stress
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 1
  [../]
  [./cs]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./ang]
    type = TensorMechanicsHardeningConstant
    value = 0.5
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '0 2.0'
  [../]
  [./tensile]
    type = CappedMohrCoulombStressUpdate
    tensile_strength = ts
    compressive_strength = cs
    cohesion = coh
    friction_angle = ang
    dilation_angle = ang
    smoothing_tol = 0.5
    yield_function_tol = 1.0E-12
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = tensile
    perform_finite_strain_rotations = false
  [../]
[]
[Executioner]
  end_time = 1
  dt = 0.1
  type = Transient
[]
[Outputs]
  file_base = small_deform7
  csv = true
[]
(modules/tensor_mechanics/test/tests/capped_weak_plane/small_deform_cosserat3.i)
# Plastic deformation.  Layered Cosserat with parameters:
# Young = 10.0
# Poisson = 0.25
# layer_thickness = 10
# joint_normal_stiffness = 2.5
# joint_shear_stiffness = 2.0
# These give the following nonzero components of the elasticity tensor:
# E_0000 = E_1111 = 1.156756756757E+01
# E_0011 = E_1100 = 3.855855855856E+00
# E_2222 = E_pp = 8.108108108108E+00
# E_0022 = E_1122 = E_2200 = E_2211 = 2.702702702703E+00
# G = E_0101 = E_0110 = E_1001 = E_1010 = 4
# Gt = E_qq = E_0202 = E_0220 = E_2002 = E_1212 = E_1221 = E_2112 = 3.333333333333E+00
# E_2020 = E_2121 = 3.666666666667E+00
# They give the following nonzero components of the bending rigidity tensor:
# D = 8.888888888889E+02
# B_0101 = B_1010 = 8.080808080808E+00
# B_0110 = B_1001 = -2.020202020202E+00
#
# Applying the following deformation to the zmax surface of a unit cube:
# disp_x = 32*t/Gt
# disp_y = 24*t/Gt
# disp_z = 10*t/E_2222
# omega_x = omega_y = omega_z = 0
# yields the following strains:
# strain_xz = 32*t/Gt = 9.6*t
# strain_yz = 24*t/Gt = 7.2*t
# strain_zz = 10*t/E_2222 = 1.23333333*t
# and all other components, and the curvature, are zero.
# The nonzero components of stress are therefore:
# stress_xx = stress_yy = 3.33333*t
# stress_xz = stress_zx = 32*t
# stress_yz = stress_zy = 24*t
# stress_zz = 10*t
# The moment stress is zero.
# So q = 40*t and p = 10*t
#
# Use tan(friction_angle) = 0.5 and tan(dilation_angle) = E_qq/Epp/2, and cohesion=20,
# the system should return to p=0, q=20, ie stress_zz=0, stress_xz=16,
# stress_yz=12 on the first time step (t=1)
# and
# stress_xx = stress_yy = 0
# and
# stress_zx = 32, and stress_zy = 24.
# Although this has resulted in a non-symmetric stress tensor, the
# moments generated are cancelled by the boundary conditions on
# omega_x and omega_y.  (Removing these boundary conditions results
# in a symmetric stress tensor, and some omega!=0 being generated.)
# No moment stresses are generated because omega=0=curvature.
#
# The total strains are given above (strain_xz = 9.6,
# strain_yz = 7.2 and strain_zz = 1.23333).
# Since q returned from 40 to 20, plastic_strain_xz = strain_xz/2 = 4.8
# and plastic_strain_yz = strain_yz/2 = 3.6.
# Since p returned to zero, all of the total strain_zz is
# plastic, ie plastic_strain_zz = 1.23333
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  Cosserat_rotations = 'wc_x wc_y wc_z'
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
  [./wc_x]
  [../]
  [./wc_y]
  [../]
[]
[Kernels]
  [./cx_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_x
    component = 0
  [../]
  [./cy_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_y
    component = 1
  [../]
  [./cz_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_z
    component = 2
  [../]
  [./x_couple]
    type = StressDivergenceTensors
    variable = wc_x
    displacements = 'wc_x wc_y wc_z'
    component = 0
    base_name = couple
  [../]
  [./y_couple]
    type = StressDivergenceTensors
    variable = wc_y
    displacements = 'wc_x wc_y wc_z'
    component = 1
    base_name = couple
  [../]
  [./x_moment]
    type = MomentBalancing
    variable = wc_x
    component = 0
  [../]
  [./y_moment]
    type = MomentBalancing
    variable = wc_y
    component = 1
  [../]
[]
[BCs]
  [./bottomx]
    type = DirichletBC
    variable = disp_x
    boundary = back
    value = 0.0
  [../]
  [./bottomy]
    type = DirichletBC
    variable = disp_y
    boundary = back
    value = 0.0
  [../]
  [./bottomz]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0.0
  [../]
  [./bottom_wc_x]
    type = DirichletBC
    variable = wc_x
    boundary = back
    value = 0.0
  [../]
  [./bottom_wc_y]
    type = DirichletBC
    variable = wc_y
    boundary = back
    value = 0.0
  [../]
  [./topx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = front
    function = 32*t/3.333333333333E+00
  [../]
  [./topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = front
    function = 24*t/3.333333333333E+00
  [../]
  [./topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = 10*t/8.108108108108E+00
  [../]
  [./top_wc_x]
    type = DirichletBC
    variable = wc_x
    boundary = front
    value = 0.0
  [../]
  [./top_wc_y]
    type = DirichletBC
    variable = wc_y
    boundary = front
    value = 0.0
  [../]
[]
[AuxVariables]
  [./wc_z]
  [../]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./couple_stress_xx]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_xy]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_xz]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_yx]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_yy]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_yz]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_zx]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_zy]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_zz]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./strainp_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_yx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_zx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_zy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_yx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_zx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_zy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_compressive]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./ls]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yx
    index_i = 1
    index_j = 0
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zx
    index_i = 2
    index_j = 0
  [../]
  [./stress_zy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zy
    index_i = 2
    index_j = 1
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./couple_stress_xx]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./couple_stress_xy]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./couple_stress_xz]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./couple_stress_yx]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_yx
    index_i = 1
    index_j = 0
  [../]
  [./couple_stress_yy]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./couple_stress_yz]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./couple_stress_zx]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_zx
    index_i = 2
    index_j = 0
  [../]
  [./couple_stress_zy]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_zy
    index_i = 2
    index_j = 1
  [../]
  [./couple_stress_zz]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./strainp_xx]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_xx
    index_i = 0
    index_j = 0
  [../]
  [./strainp_xy]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_xy
    index_i = 0
    index_j = 1
  [../]
  [./strainp_xz]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_xz
    index_i = 0
    index_j = 2
  [../]
  [./strainp_yx]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_yx
    index_i = 1
    index_j = 0
  [../]
  [./strainp_yy]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_yy
    index_i = 1
    index_j = 1
  [../]
  [./strainp_yz]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_yz
    index_i = 1
    index_j = 2
  [../]
  [./strainp_zx]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_zx
    index_i = 2
    index_j = 0
  [../]
  [./strainp_zy]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_zy
    index_i = 2
    index_j = 1
  [../]
  [./strainp_zz]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_zz
    index_i = 2
    index_j = 2
  [../]
  [./straint_xx]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_xx
    index_i = 0
    index_j = 0
  [../]
  [./straint_xy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_xy
    index_i = 0
    index_j = 1
  [../]
  [./straint_xz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_xz
    index_i = 0
    index_j = 2
  [../]
  [./straint_yx]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_yx
    index_i = 1
    index_j = 0
  [../]
  [./straint_yy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_yy
    index_i = 1
    index_j = 1
  [../]
  [./straint_yz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_yz
    index_i = 1
    index_j = 2
  [../]
  [./straint_zx]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_zx
    index_i = 2
    index_j = 0
  [../]
  [./straint_zy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_zy
    index_i = 2
    index_j = 1
  [../]
  [./straint_zz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_zz
    index_i = 2
    index_j = 2
  [../]
  [./f_shear]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f_shear
  [../]
  [./f_tensile]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f_tensile
  [../]
  [./f_compressive]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f_compressive
  [../]
  [./intnl_shear]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = intnl_shear
  [../]
  [./intnl_tensile]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 1
    variable = intnl_tensile
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./ls]
    type = MaterialRealAux
    property = plastic_linesearch_needed
    variable = ls
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yx]
    type = PointValue
    point = '0 0 0'
    variable = stress_yx
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zx]
    type = PointValue
    point = '0 0 0'
    variable = stress_zx
  [../]
  [./s_zy]
    type = PointValue
    point = '0 0 0'
    variable = stress_zy
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./c_s_xx]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_xx
  [../]
  [./c_s_xy]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_xy
  [../]
  [./c_s_xz]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_xz
  [../]
  [./c_s_yx]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_yx
  [../]
  [./c_s_yy]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_yy
  [../]
  [./c_s_yz]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_yz
  [../]
  [./c_s_zx]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_zx
  [../]
  [./c_s_zy]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_zy
  [../]
  [./c_s_zz]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_zz
  [../]
  [./strainp_xx]
    type = PointValue
    point = '0 0 0'
    variable = strainp_xx
  [../]
  [./strainp_xy]
    type = PointValue
    point = '0 0 0'
    variable = strainp_xy
  [../]
  [./strainp_xz]
    type = PointValue
    point = '0 0 0'
    variable = strainp_xz
  [../]
  [./strainp_yx]
    type = PointValue
    point = '0 0 0'
    variable = strainp_yx
  [../]
  [./strainp_yy]
    type = PointValue
    point = '0 0 0'
    variable = strainp_yy
  [../]
  [./strainp_yz]
    type = PointValue
    point = '0 0 0'
    variable = strainp_yz
  [../]
  [./strainp_zx]
    type = PointValue
    point = '0 0 0'
    variable = strainp_zx
  [../]
  [./strainp_zy]
    type = PointValue
    point = '0 0 0'
    variable = strainp_zy
  [../]
  [./strainp_zz]
    type = PointValue
    point = '0 0 0'
    variable = strainp_zz
  [../]
  [./straint_xx]
    type = PointValue
    point = '0 0 0'
    variable = straint_xx
  [../]
  [./straint_xy]
    type = PointValue
    point = '0 0 0'
    variable = straint_xy
  [../]
  [./straint_xz]
    type = PointValue
    point = '0 0 0'
    variable = straint_xz
  [../]
  [./straint_yx]
    type = PointValue
    point = '0 0 0'
    variable = straint_yx
  [../]
  [./straint_yy]
    type = PointValue
    point = '0 0 0'
    variable = straint_yy
  [../]
  [./straint_yz]
    type = PointValue
    point = '0 0 0'
    variable = straint_yz
  [../]
  [./straint_zx]
    type = PointValue
    point = '0 0 0'
    variable = straint_zx
  [../]
  [./straint_zy]
    type = PointValue
    point = '0 0 0'
    variable = straint_zy
  [../]
  [./straint_zz]
    type = PointValue
    point = '0 0 0'
    variable = straint_zz
  [../]
  [./f_shear]
    type = PointValue
    point = '0 0 0'
    variable = f_shear
  [../]
  [./f_tensile]
    type = PointValue
    point = '0 0 0'
    variable = f_tensile
  [../]
  [./f_compressive]
    type = PointValue
    point = '0 0 0'
    variable = f_compressive
  [../]
  [./intnl_shear]
    type = PointValue
    point = '0 0 0'
    variable = intnl_shear
  [../]
  [./intnl_tensile]
    type = PointValue
    point = '0 0 0'
    variable = intnl_tensile
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
  [./ls]
    type = PointValue
    point = '0 0 0'
    variable = ls
  [../]
[]
[UserObjects]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 20
  [../]
  [./tanphi]
    type = TensorMechanicsHardeningConstant
    value = 0.5
  [../]
  [./tanpsi]
    type = TensorMechanicsHardeningConstant
    value = 2.055555555556E-01
  [../]
  [./t_strength]
    type = TensorMechanicsHardeningConstant
    value = 100
  [../]
  [./c_strength]
    type = TensorMechanicsHardeningConstant
    value = 100
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeLayeredCosseratElasticityTensor
    young = 10.0
    poisson = 0.25
    layer_thickness = 10.0
    joint_normal_stiffness = 2.5
    joint_shear_stiffness = 2.0
  [../]
  [./strain]
    type = ComputeCosseratIncrementalSmallStrain
  [../]
  [./admissible]
    type = ComputeMultipleInelasticCosseratStress
    inelastic_models = stress
    perform_finite_strain_rotations = false
  [../]
  [./stress]
    type = CappedWeakPlaneCosseratStressUpdate
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    tensile_strength = t_strength
    compressive_strength = c_strength
    tip_smoother = 0
    smoothing_tol = 0
    yield_function_tol = 1E-5
  [../]
[]
[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform_cosserat3
  csv = true
[]
(modules/tensor_mechanics/test/tests/capped_drucker_prager/small_deform3_inner_tip.i)
# apply repeated stretches in x z directions, and smaller stretches along the y direction,
# so that sigma_I = sigma_II,
# which means that lode angle = 30deg.
# The allows yield surface in meridional plane to be mapped out
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '1E-6*x*t'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '-1.7E-6*y*t'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z*t'
  [../]
[]
[AuxVariables]
  [./mc_int]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./mc_int_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_internal_parameter
    variable = mc_int
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./internal]
    type = PointValue
    point = '0 0 0'
    variable = mc_int
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 1E5
  [../]
  [./cs]
    type = TensorMechanicsHardeningConstant
    value = 1E5
  [../]
  [./mc_coh]
    type = TensorMechanicsHardeningConstant
    value = 10
  [../]
  [./mc_phi]
    type = TensorMechanicsHardeningConstant
    value = 35
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = TensorMechanicsHardeningConstant
    value = 5
    convert_to_radians = true
  [../]
  [./dp]
    type = TensorMechanicsPlasticDruckerPrager
    mc_cohesion = mc_coh
    mc_friction_angle = mc_phi
    mc_dilation_angle = mc_psi
    mc_interpolation_scheme = inner_tip
    yield_function_tolerance = 1      # irrelevant here
    internal_constraint_tolerance = 1 # irrelevant here
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    inelastic_models = mc
    perform_finite_strain_rotations = false
  [../]
  [./mc]
    type = CappedDruckerPragerStressUpdate
    DP_model = dp
    tensile_strength = ts
    compressive_strength = cs
    yield_function_tol = 1E-8
    tip_smoother = 8
    smoothing_tol = 1E-7
  [../]
[]
[Executioner]
  end_time = 10
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform3_inner_tip
  exodus = false
  [./csv]
    type = CSV
  [../]
[]
(modules/tensor_mechanics/test/tests/drucker_prager/small_deform3_lode_zero.i)
# apply repeated stretches in x z directions, and smaller stretches along the y direction,
# so that sigma_I = sigma_II,
# which means that lode angle = 30deg.
# The allows yield surface in meridional plane to be mapped out
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '1E-6*x*t'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '-1.7E-6*y*t'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z*t'
  [../]
[]
[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mc_int]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./mc_int_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_internal_parameter
    variable = mc_int
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./internal]
    type = PointValue
    point = '0 0 0'
    variable = mc_int
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]
[UserObjects]
  [./mc_coh]
    type = TensorMechanicsHardeningConstant
    value = 10
  [../]
  [./mc_phi]
    type = TensorMechanicsHardeningConstant
    value = 35
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = TensorMechanicsHardeningConstant
    value = 5
    convert_to_radians = true
  [../]
  [./mc]
    type = TensorMechanicsPlasticDruckerPragerHyperbolic
    mc_cohesion = mc_coh
    mc_friction_angle = mc_phi
    mc_dilation_angle = mc_psi
    smoother = 8
    mc_interpolation_scheme = lode_zero
    yield_function_tolerance = 1E-7
    internal_constraint_tolerance = 1E-9
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./strain]
    type = ComputeIncrementalSmallStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-13
    plastic_models = mc
    debug_fspb = crash
  [../]
[]
[Executioner]
  end_time = 10
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform3_lode_zero
  exodus = false
  [./csv]
    type = CSV
    [../]
[]
(modules/tensor_mechanics/test/tests/mean_cap/random.i)
# apply many random large deformations, checking that the algorithm returns correctly to
# the yield surface each time.  Two yield surfaces are used: one for compression and one for tension.
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1000
  ny = 125
  nz = 1
  xmin = 0
  xmax = 1000
  ymin = 0
  ymax = 125
  zmin = 0
  zmax = 1
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[ICs]
  [./x]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_x
  [../]
  [./y]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_y
  [../]
  [./z]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_z
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '0'
  [../]
[]
[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
[]
[Postprocessors]
  [./max_yield_fcn]
    type = ElementExtremeValue
    variable = yield_fcn
    outputs = 'console'
  [../]
  [./should_be_zero]
    type = FunctionValuePostprocessor
    function = should_be_zero_fcn
  [../]
  [./av_iter]
    type = ElementAverageValue
    variable = iter
    outputs = 'console'
  [../]
[]
[Functions]
  [./should_be_zero_fcn]
    type = ParsedFunction
    value = 'if(a<1E-3,0,a)'
    vars = 'a'
    vals = 'max_yield_fcn'
  [../]
[]
[UserObjects]
  [./strength]
    type = TensorMechanicsHardeningConstant
    value = 1
  [../]
  [./cap1]
    type = TensorMechanicsPlasticMeanCap
    a = -1
    strength = strength
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-9
  [../]
  [./cap2]
    type = TensorMechanicsPlasticMeanCap
    a = 1
    strength = strength
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-9
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0.7E7 1E7'
  [../]
  [./strain]
    type = ComputeIncrementalSmallStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    max_NR_iterations = 2
    ep_plastic_tolerance = 1E-6
    plastic_models = 'cap1 cap2'
    debug_fspb = crash
    deactivation_scheme = optimized
    min_stepsize = 1
    max_stepsize_for_dumb = 1
  [../]
[]
[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = random
  exodus = false
  [./csv]
    type = CSV
  [../]
[]
(modules/tensor_mechanics/test/tests/mohr_coulomb/uni_axial2.i)
[Mesh]
  type = FileMesh
  file = quarter_hole.e
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[BCs]
  [./zmin_zzero]
    type = DirichletBC
    variable = disp_z
    boundary = 'zmin'
    value = '0'
  [../]
  [./xmin_xzero]
    type = DirichletBC
    variable = disp_x
    boundary = 'xmin'
    value = '0'
  [../]
  [./ymin_yzero]
    type = DirichletBC
    variable = disp_y
    boundary = 'ymin'
    value = '0'
  [../]
  [./ymax_disp]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'ymax'
    function = '-1E-4*t'
  [../]
[]
[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mc_int]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./mc_int_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_internal_parameter
    variable = mc_int
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0.005 0.02 0.002'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0.005 0.02 0.002'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0.005 0.02 0.002'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0.005 0.02 0.002'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0.005 0.02 0.002'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0.005 0.02 0.002'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0.005 0.02 0.002'
    variable = yield_fcn
  [../]
[]
[UserObjects]
  [./mc_coh]
    type = TensorMechanicsHardeningConstant
    value = 10E6
  [../]
  [./mc_phi]
    type = TensorMechanicsHardeningConstant
    value = 2
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = TensorMechanicsHardeningConstant
    value = 2
    convert_to_radians = true
  [../]
  [./mc]
    type = TensorMechanicsPlasticMohrCoulomb
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    mc_tip_smoother = 0.01E6
    mc_edge_smoother = 29
    yield_function_tolerance = 1E-5
    internal_constraint_tolerance = 1E-11
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 1
    fill_method = symmetric_isotropic
    C_ijkl = '0 5E9' # young = 10Gpa, poisson = 0.0
  [../]
  [./strain]
    type = ComputeIncrementalSmallStrain
    block = 1
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 1
    ep_plastic_tolerance = 1E-11
    plastic_models = mc
    max_NR_iterations = 1000
    debug_fspb = crash
  [../]
[]
# Preconditioning and Executioner options kindly provided by Andrea
[Preconditioning]
  [./andy]
    type = SMP
    full = true
  [../]
[]
[Executioner]
  end_time = 0.5
  dt = 0.1
  solve_type = NEWTON
  type = Transient
  l_tol = 1E-2
  nl_abs_tol = 1E-9
  nl_rel_tol = 1E-11
  l_max_its = 200
  nl_max_its = 400
  petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -ksp_type -ksp_gmres_restart'
  petsc_options_value = ' asm      2              lu            gmres     200'
[]
[Outputs]
  file_base = uni_axial2
  exodus = true
  [./csv]
    type = CSV
    [../]
[]
(modules/tensor_mechanics/test/tests/jacobian/mc_update5.i)
# MC update version, with only Tensile with tensile strength = 1MPa and smoothing_tol = 0.1E5
# Lame lambda = 1GPa.  Lame mu = 1.3GPa
# Units in this file are MPa (not Pa)
#
# Start from non-diagonal stress state with softening.
# Returns to close to the tip of the yield function.
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningCubic
    value_0 = 1
    value_residual = 0.5
    internal_limit = 2E-2
  [../]
  [./cs]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./ang]
    type = TensorMechanicsHardeningConstant
    value = 30
    convert_to_radians = true
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    lambda = 1.0E3
    shear_modulus = 1.3E3
  [../]
  [./strain]
    type = ComputeIncrementalSmallStrain
    displacements = 'disp_x disp_y disp_z'
    eigenstrain_names = ini_stress
  [../]
  [./ini_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = '15 1 0.2  1 10 -0.3  -0.3 0.2 8'
    eigenstrain_name = ini_stress
  [../]
  [./cmc]
    type = CappedMohrCoulombStressUpdate
    tensile_strength = ts
    compressive_strength = cs
    cohesion = coh
    friction_angle = ang
    dilation_angle = ang
    smoothing_tol = 0.1
    yield_function_tol = 1.0E-12
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = cmc
    perform_finite_strain_rotations = false
  [../]
[]
[Preconditioning]
  [./andy]
    type = SMP
    full = true
    petsc_options_iname = '-snes_type'
    petsc_options_value = 'test'
  [../]
[]
[Executioner]
  type = Transient
  solve_type = Newton
[]
(modules/tensor_mechanics/test/tests/jacobian/tensile_update2.i)
# Tensile, update version, with strength = 1MPa and smoothing_tol = 0.1E5
# Lame lambda = 1GPa.  Lame mu = 1.3GPa
# Units in this file are MPa (not Pa)
#
# Return to the stress_I = stress_II ~1 edge
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 1
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    lambda = 1.0E3
    shear_modulus = 1.3E3
  [../]
  [./strain]
    type = ComputeIncrementalSmallStrain
    displacements = 'disp_x disp_y disp_z'
    eigenstrain_names = ini_stress
  [../]
  [./ini_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = '2 0 0  0 0 0  0 0 2.01'
    eigenstrain_name = ini_stress
  [../]
  [./tensile]
    type = TensileStressUpdate
    tensile_strength = ts
    smoothing_tol = 0.1
    yield_function_tol = 1.0E-12
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = tensile
    perform_finite_strain_rotations = false
  [../]
[]
[Preconditioning]
  [./andy]
    type = SMP
    full = true
    petsc_options_iname = '-snes_type'
    petsc_options_value = 'test'
  [../]
[]
[Executioner]
  type = Transient
  solve_type = Newton
[]
(modules/combined/test/tests/j2_plasticity_vs_LSH/j2_hard1_mod.i)
# Test designed to compare results and active time between SH/LinearStrainHardening
# material vs TM j2 plastic user object. As number of elements increases, TM
# active time increases at a much higher rate than SM. Testing at 4x4x4
# (64 elements).
#
# plot vm_stress vs intnl to see constant hardening
#
# Original test located at:
# tensor_mechanics/tests/j2_plasticity/hard1.i
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 4
  ny = 4
  nz = 4
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
  displacements = 'disp_x disp_y disp_z'
[]
[Variables]
  [./disp_x]
    order = FIRST
    family = LAGRANGE
  [../]
  [./disp_y]
    order = FIRST
    family = LAGRANGE
  [../]
  [./disp_z]
    order = FIRST
    family = LAGRANGE
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[AuxVariables]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./vm_stress]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./eq_pl_strain]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./intnl]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_internal_parameter
    variable = intnl
  [../]
  [./eq_pl_strain]
    type = RankTwoScalarAux
    rank_two_tensor = plastic_strain
    scalar_type = EffectiveStrain
    variable = eq_pl_strain
  [../]
  [./vm_stress]
    type = RankTwoScalarAux
    rank_two_tensor = stress
    scalar_type = VonMisesStress
    variable = vm_stress
  [../]
[]
[BCs]
  [./left]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0.0
  [../]
  [./bottom]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0.0
  [../]
  [./back]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0.0
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = 't/60'
  [../]
[]
[UserObjects]
  [./str]
    type = TensorMechanicsHardeningConstant
    value = 2.4e2
  [../]
  [./j2]
    type = TensorMechanicsPlasticJ2
    yield_strength = str
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-9
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    #with E = 2.1e5 and nu = 0.3
    #Hooke's law: E-nu to Lambda-G
    C_ijkl = '121154 80769.2'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = j2
    tangent_operator = elastic
  [../]
[]
[Executioner]
  type = Transient
  #Preconditioned JFNK (default)
  solve_type = 'PJFNK'
  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-ksp_gmres_restart'
  petsc_options_value = '101'
  line_search = 'none'
  l_max_its = 100
  nl_max_its = 100
  nl_rel_tol = 1e-6
  nl_abs_tol = 1e-10
  l_tol = 1e-4
  start_time = 0.0
  end_time = 0.5
  dt = 0.01
[]
[Postprocessors]
  [./stress_zz]
    type = ElementAverageValue
    variable = stress_zz
  [../]
  [./intnl]
    type = ElementAverageValue
    variable = intnl
  [../]
  [./eq_pl_strain]
    type = PointValue
    point = '0 0 0'
    variable = eq_pl_strain
  [../]
  [./vm_stress]
    type = PointValue
    point = '0 0 0'
    variable = vm_stress
  [../]
[]
[Outputs]
  csv = true
  print_linear_residuals = false
  perf_graph = true
[]
(modules/tensor_mechanics/test/tests/tensile/planar4.i)
# A single unit element is stretched by 1E-6m in z direction.
# with Lame lambda = 0.6E6 and Lame mu (shear) = 1E6
# stress_zz = 2.6 Pa
# stress_xx = 0.6 Pa
# stress_yy = 0.6 Pa
# tensile_strength is set to 0.5Pa
#
# The return should be to a plane (but the algorithm
# will try tip-return first), with
# stress_zz = 0.5
# plastic multiplier = 2.1/2.6 E-6
# stress_xx = 0.6 - (2.1/2.6*0.6) = 0.115
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    incremental = true
    strain = finite
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1.0E-6*z'
  [../]
[]
[AuxVariables]
  [./f0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./f0_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f0
  [../]
  [./f1_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f1
  [../]
  [./f2_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f2
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./intnl_auxk]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = intnl
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = f0
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = f1
  [../]
  [./f2]
    type = PointValue
    point = '0 0 0'
    variable = f2
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
  [./intnl]
    type = PointValue
    point = '0 0 0'
    variable = intnl
  [../]
[]
[UserObjects]
  [./hard]
    type = TensorMechanicsHardeningConstant
    value = 0.5
  [../]
  [./tens]
    type = TensorMechanicsPlasticTensileMulti
    tensile_strength = hard
    shift = 1E-6
    yield_function_tolerance = 1E-6
    internal_constraint_tolerance = 1E-5
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0.6E6 1E6'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-12
    plastic_models = tens
    debug_fspb = none
    debug_jac_at_stress = '1 2 3 2 -4 -5 3 -5 10'
    debug_jac_at_pm = '0.1 0.2 0.3'
    debug_jac_at_intnl = 1E-6
    debug_stress_change = 1E-6
    debug_pm_change = '1E-6 1E-6 1E-6'
    debug_intnl_change = 1E-6
  [../]
[]
[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = planar4
  exodus = false
  [./csv]
    type = CSV
    [../]
[]
(modules/tensor_mechanics/test/tests/weak_plane_shear/small_deform_harden1.i)
# apply repeated stretches to observe cohesion hardening
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./x_disp]
  [../]
  [./y_disp]
  [../]
  [./z_disp]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'x_disp y_disp z_disp'
  [../]
[]
[BCs]
  [./bottomx]
    type = DirichletBC
    variable = x_disp
    boundary = back
    value = 0.0
  [../]
  [./bottomy]
    type = DirichletBC
    variable = y_disp
    boundary = back
    value = 0.0
  [../]
  [./bottomz]
    type = DirichletBC
    variable = z_disp
    boundary = back
    value = 0.0
  [../]
  [./topx]
    type = FunctionDirichletBC
    variable = x_disp
    boundary = front
    function = '0'
  [../]
  [./topy]
    type = FunctionDirichletBC
    variable = y_disp
    boundary = front
    function = '0'
  [../]
  [./topz]
    type = FunctionDirichletBC
    variable = z_disp
    boundary = front
    function = '2*t'
  [../]
[]
[AuxVariables]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./wps_internal]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_zx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zx
    index_i = 2
    index_j = 0
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./wps_internal_auxk]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = wps_internal
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = yield_fcn
  [../]
[]
[Postprocessors]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
  [./int]
    type = PointValue
    point = '0 0 0'
    variable = wps_internal
  [../]
[]
[UserObjects]
  [./coh]
    type = TensorMechanicsHardeningExponential
    value_0 = 1E3
    value_residual = 2E3
    rate = 4E4
  [../]
  [./tanphi]
    type = TensorMechanicsHardeningConstant
    value = 1.0
  [../]
  [./tanpsi]
    type = TensorMechanicsHardeningConstant
    value = 0.01745506
  [../]
  [./wps]
    type = TensorMechanicsPlasticWeakPlaneShear
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    smoother = 500
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-3
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '1E9 0.5E9'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'x_disp y_disp z_disp'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    plastic_models = wps
    transverse_direction = '0 0 1'
    ep_plastic_tolerance = 1E-3
    debug_fspb = crash
  [../]
[]
[Executioner]
  end_time = 1E-6
  dt = 1E-7
  type = Transient
[]
[Outputs]
  file_base = small_deform_harden1
  exodus = true
  [./csv]
    type = CSV
    [../]
[]
(modules/tensor_mechanics/test/tests/jacobian/mc_update8_cosserat.i)
# Cosserat version of Capped Mohr Columb (using StressUpdate)
# Tensile failure only, starting from a non-symmetric stress state, and
# using softening
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  Cosserat_rotations = 'wc_x wc_y wc_z'
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
  [./wc_x]
  [../]
  [./wc_y]
  [../]
[]
[Kernels]
  [./cx_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_x
    component = 0
  [../]
  [./cy_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_y
    component = 1
  [../]
  [./cz_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_z
    component = 2
  [../]
  [./x_couple]
    type = StressDivergenceTensors
    variable = wc_x
    displacements = 'wc_x wc_y wc_z'
    component = 0
    base_name = couple
  [../]
  [./y_couple]
    type = StressDivergenceTensors
    variable = wc_y
    displacements = 'wc_x wc_y wc_z'
    component = 1
    base_name = couple
  [../]
  [./x_moment]
    type = MomentBalancing
    variable = wc_x
    component = 0
  [../]
  [./y_moment]
    type = MomentBalancing
    variable = wc_y
    component = 1
  [../]
[]
[AuxVariables]
  [./wc_z]
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningCubic
    value_0 = 1
    value_residual = 0
    internal_limit = 2E-3
  [../]
  [./cs]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./ang]
    type = TensorMechanicsHardeningConstant
    value = 30
    convert_to_radians = true
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeLayeredCosseratElasticityTensor
    young = 3E3
    poisson = 0.2
    layer_thickness = 1.0
    joint_normal_stiffness = 1.0E3
    joint_shear_stiffness = 2.0E3
  [../]
  [./strain]
    type = ComputeCosseratIncrementalSmallStrain
    eigenstrain_names = ini_stress
  [../]
  [./ini_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = '2 -1 0.5  1 1.9 0  0.5 0 3'
    eigenstrain_name = ini_stress
  [../]
  [./cmc]
    type = CappedMohrCoulombCosseratStressUpdate
    host_youngs_modulus = 3E3
    host_poissons_ratio = 0.2
    tensile_strength = ts
    compressive_strength = cs
    cohesion = coh
    friction_angle = ang
    dilation_angle = ang
    smoothing_tol = 0.1
    yield_function_tol = 1.0E-12
  [../]
  [./stress]
    type = ComputeMultipleInelasticCosseratStress
    inelastic_models = cmc
    perform_finite_strain_rotations = false
  [../]
[]
[Preconditioning]
  [./andy]
    type = SMP
    full = true
    petsc_options_iname = '-snes_type'
    petsc_options_value = 'test'
  [../]
[]
[Executioner]
  type = Transient
  solve_type = Newton
[]
(modules/tensor_mechanics/examples/coal_mining/coarse.i)
# Strata deformation and fracturing around a coal mine - 3D model
#
# A "half model" is used.  The mine is 400m deep and
# just the roof is studied (-400<=z<=0).  The mining panel
# sits between 0<=x<=150, and 0<=y<=1000, so this simulates
# a coal panel that is 300m wide and 1000m long.  The outer boundaries
# are 1km from the excavation boundaries.
#
# Time is meaningless in this example
# as quasi-static solutions are sought at each timestep, but
# the number of timesteps controls the resolution of the
# process.
#
# The boundary conditions for this simulation are:
#  - disp_x = 0 at x=0 and x=1150
#  - disp_y = 0 at y=-1000 and y=1000
#  - disp_z = 0 at z=-400, but there is a time-dependent
#               Young's modulus that simulates excavation
#  - wc_x = 0 at y=-1000 and y=1000
#  - wc_y = 0 at x=0 and x=1150
# That is, rollers on the sides, free at top,
# and prescribed at bottom in the unexcavated portion.
#
# The small strain formulation is used.
#
# All stresses are measured in MPa.  The initial stress is consistent with
# the weight force from density 2500 kg/m^3, ie, stress_zz = 0.025*z MPa
# where gravity = 10 m.s^-2 = 1E-5 MPa m^2/kg.  The maximum and minimum
# principal horizontal stresses are assumed to be equal to 0.8*stress_zz.
#
# Material properties:
# Young's modulus = 8 GPa
# Poisson's ratio = 0.25
# Cosserat layer thickness = 1 m
# Cosserat-joint normal stiffness = large
# Cosserat-joint shear stiffness = 1 GPa
# MC cohesion = 3 MPa
# MC friction angle = 37 deg
# MC dilation angle = 8 deg
# MC tensile strength = 1 MPa
# MC compressive strength = 100 MPa
# WeakPlane cohesion = 0.1 MPa
# WeakPlane friction angle = 30 deg
# WeakPlane dilation angle = 10 deg
# WeakPlane tensile strength = 0.1 MPa
# WeakPlane compressive strength = 100 MPa softening to 1 MPa at strain = 1
#
[Mesh]
  [file]
    type = FileMeshGenerator
    file = mesh/coarse.e
  []
  [./xmin]
    input = file
    type = SideSetsAroundSubdomainGenerator
    block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16'
    new_boundary = xmin
    normal = '-1 0 0'
  [../]
  [./xmax]
    input = xmin
    type = SideSetsAroundSubdomainGenerator
    block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16'
    new_boundary = xmax
    normal = '1 0 0'
  [../]
  [./ymin]
    input = xmax
    type = SideSetsAroundSubdomainGenerator
    block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16'
    new_boundary = ymin
    normal = '0 -1 0'
  [../]
  [./ymax]
    input = ymin
    type = SideSetsAroundSubdomainGenerator
    block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16'
    new_boundary = ymax
    normal = '0 1 0'
  [../]
  [./zmax]
    input = ymax
    type = SideSetsAroundSubdomainGenerator
    block = 16
    new_boundary = zmax
    normal = '0 0 1'
  [../]
  [./zmin]
    input = zmax
    type = SideSetsAroundSubdomainGenerator
    block = 2
    new_boundary = zmin
    normal = '0 0 -1'
  [../]
  [./excav]
    type = SubdomainBoundingBoxGenerator
    input = zmin
    block_id = 1
    bottom_left = '0 0 -400'
    top_right = '150 1000 -397'
  [../]
  [./roof]
    type = SideSetsAroundSubdomainGenerator
    block = 1
    input = excav
    new_boundary = roof
    normal = '0 0 1'
  [../]
[]
[GlobalParams]
  perform_finite_strain_rotations = false
  displacements = 'disp_x disp_y disp_z'
  Cosserat_rotations = 'wc_x wc_y wc_z'
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
  [./wc_x]
  [../]
  [./wc_y]
  [../]
[]
[Kernels]
  [./cx_elastic]
    type = CosseratStressDivergenceTensors
    use_displaced_mesh = false
    variable = disp_x
    component = 0
  [../]
  [./cy_elastic]
    type = CosseratStressDivergenceTensors
    use_displaced_mesh = false
    variable = disp_y
    component = 1
  [../]
  [./cz_elastic]
    type = CosseratStressDivergenceTensors
    use_displaced_mesh = false
    variable = disp_z
    component = 2
  [../]
  [./x_couple]
    type = StressDivergenceTensors
    use_displaced_mesh = false
    variable = wc_x
    displacements = 'wc_x wc_y wc_z'
    component = 0
    base_name = couple
  [../]
  [./y_couple]
    type = StressDivergenceTensors
    use_displaced_mesh = false
    variable = wc_y
    displacements = 'wc_x wc_y wc_z'
    component = 1
    base_name = couple
  [../]
  [./x_moment]
    type = MomentBalancing
    use_displaced_mesh = false
    variable = wc_x
    component = 0
  [../]
  [./y_moment]
    type = MomentBalancing
    use_displaced_mesh = false
    variable = wc_y
    component = 1
  [../]
  [./gravity]
    type = Gravity
    use_displaced_mesh = false
    variable = disp_z
    value = -10E-6 # remember this is in MPa
  [../]
[]
[AuxVariables]
  [./wc_z]
  [../]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mc_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mc_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./wp_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./wp_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./wp_shear_f]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./wp_tensile_f]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mc_shear_f]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mc_tensile_f]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yx
    index_i = 1
    index_j = 0
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zx
    index_i = 2
    index_j = 0
  [../]
  [./stress_zy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zy
    index_i = 2
    index_j = 1
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./mc_shear]
    type = MaterialStdVectorAux
    index = 0
    property = mc_plastic_internal_parameter
    variable = mc_shear
  [../]
  [./mc_tensile]
    type = MaterialStdVectorAux
    index = 1
    property = mc_plastic_internal_parameter
    variable = mc_tensile
  [../]
  [./wp_shear]
    type = MaterialStdVectorAux
    index = 0
    property = wp_plastic_internal_parameter
    variable = wp_shear
  [../]
  [./wp_tensile]
    type = MaterialStdVectorAux
    index = 1
    property = wp_plastic_internal_parameter
    variable = wp_tensile
  [../]
  [./mc_shear_f]
    type = MaterialStdVectorAux
    index = 6
    property = mc_plastic_yield_function
    variable = mc_shear_f
  [../]
  [./mc_tensile_f]
    type = MaterialStdVectorAux
    index = 0
    property = mc_plastic_yield_function
    variable = mc_tensile_f
  [../]
  [./wp_shear_f]
    type = MaterialStdVectorAux
    index = 0
    property = wp_plastic_yield_function
    variable = wp_shear_f
  [../]
  [./wp_tensile_f]
    type = MaterialStdVectorAux
    index = 1
    property = wp_plastic_yield_function
    variable = wp_tensile_f
  [../]
[]
[BCs]
  [./no_x]
    type = DirichletBC
    variable = disp_x
    boundary = 'xmin xmax'
    value = 0.0
  [../]
  [./no_y]
    type = DirichletBC
    variable = disp_y
    boundary = 'ymin ymax'
    value = 0.0
  [../]
  [./no_z]
    type = DirichletBC
    variable = disp_z
    boundary = zmin
    value = 0.0
  [../]
  [./no_wc_x]
    type = DirichletBC
    variable = wc_x
    boundary = 'ymin ymax'
    value = 0.0
  [../]
  [./no_wc_y]
    type = DirichletBC
    variable = wc_y
    boundary = 'xmin xmax'
    value = 0.0
  [../]
  [./roof]
    type = StickyBC
    variable = disp_z
    min_value = -3.0
    boundary = roof
  [../]
[]
[Functions]
  [./ini_xx]
    type = ParsedFunction
    value = '0.8*2500*10E-6*z'
  [../]
  [./ini_zz]
    type = ParsedFunction
    value = '2500*10E-6*z'
  [../]
  [./excav_sideways]
    type = ParsedFunction
    vars = 'end_t ymin ymax  minval maxval slope'
    vals = '17.0   0    1000.0 1E-9 1 60'
    # excavation face at ymin+(ymax-ymin)*min(t/end_t,1)
    # slope is the distance over which the modulus reduces from maxval to minval
    value = 'if(y<ymin+(ymax-ymin)*min(t/end_t,1),minval,if(y<ymin+(ymax-ymin)*min(t/end_t,1)+slope,minval+(maxval-minval)*(y-(ymin+(ymax-ymin)*min(t/end_t,1)))/slope,maxval))'
  [../]
  [./density_sideways]
    type = ParsedFunction
    vars = 'end_t ymin ymax  minval maxval'
    vals = '17.0   0    1000.0 0 2500'
    value = 'if(y<ymin+(ymax-ymin)*min(t/end_t,1),minval,maxval)'
  [../]
[]
[UserObjects]
  [./mc_coh_strong_harden]
    type = TensorMechanicsHardeningExponential
    value_0 = 2.99 # MPa
    value_residual = 3.01 # MPa
    rate = 1.0
  [../]
  [./mc_fric]
    type = TensorMechanicsHardeningConstant
    value = 0.65 # 37deg
  [../]
  [./mc_dil]
    type = TensorMechanicsHardeningConstant
    value = 0.15 # 8deg
  [../]
  [./mc_tensile_str_strong_harden]
    type = TensorMechanicsHardeningExponential
    value_0 = 1.0 # MPa
    value_residual = 1.0 # MPa
    rate = 1.0
  [../]
  [./mc_compressive_str]
    type = TensorMechanicsHardeningCubic
    value_0 = 100 # Large!
    value_residual = 100
    internal_limit = 0.1
  [../]
  [./wp_coh_harden]
    type = TensorMechanicsHardeningCubic
    value_0 = 0.1
    value_residual = 0.1
    internal_limit = 10
  [../]
  [./wp_tan_fric]
    type = TensorMechanicsHardeningConstant
    value = 0.36 # 20deg
  [../]
  [./wp_tan_dil]
    type = TensorMechanicsHardeningConstant
    value = 0.18 # 10deg
  [../]
  [./wp_tensile_str_harden]
    type = TensorMechanicsHardeningCubic
    value_0 = 0.1
    value_residual = 0.1
    internal_limit = 10
  [../]
  [./wp_compressive_str_soften]
    type = TensorMechanicsHardeningCubic
    value_0 = 100
    value_residual = 1
    internal_limit = 1.0
  [../]
[]
[Materials]
  [./elasticity_tensor_0]
    type = ComputeLayeredCosseratElasticityTensor
    block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16'
    young = 8E3 # MPa
    poisson = 0.25
    layer_thickness = 1.0
    joint_normal_stiffness = 1E9 # huge
    joint_shear_stiffness = 1E3 # MPa
  [../]
  [./elasticity_tensor_1]
    type = ComputeLayeredCosseratElasticityTensor
    block = 1
    young = 8E3 # MPa
    poisson = 0.25
    layer_thickness = 1.0
    joint_normal_stiffness = 1E9 # huge
    joint_shear_stiffness = 1E3 # MPa
    elasticity_tensor_prefactor = excav_sideways
  [../]
  [./strain]
    type = ComputeCosseratIncrementalSmallStrain
    eigenstrain_names = ini_stress
  [../]
  [./ini_stress]
    type = ComputeEigenstrainFromInitialStress
    eigenstrain_name = ini_stress
    initial_stress = 'ini_xx 0 0  0 ini_xx 0  0 0 ini_zz'
  [../]
  [./stress_0]
    type = ComputeMultipleInelasticCosseratStress
    block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16'
    inelastic_models = 'mc wp'
    cycle_models = true
    relative_tolerance = 2.0
    absolute_tolerance = 1E6
    max_iterations = 1
    tangent_operator = nonlinear
    perform_finite_strain_rotations = false
  [../]
  [./stress_1]
    type = ComputeMultipleInelasticCosseratStress
    block = 1
    inelastic_models = ''
    relative_tolerance = 2.0
    absolute_tolerance = 1E6
    max_iterations = 1
    tangent_operator = nonlinear
    perform_finite_strain_rotations = false
  [../]
  [./mc]
    type = CappedMohrCoulombCosseratStressUpdate
    warn_about_precision_loss = false
    host_youngs_modulus = 8E3
    host_poissons_ratio = 0.25
    base_name = mc
    tensile_strength = mc_tensile_str_strong_harden
    compressive_strength = mc_compressive_str
    cohesion = mc_coh_strong_harden
    friction_angle = mc_fric
    dilation_angle = mc_dil
    max_NR_iterations = 100000
    smoothing_tol = 0.1 # MPa  # Must be linked to cohesion
    yield_function_tol = 1E-9 # MPa.  this is essentially the lowest possible without lots of precision loss
    perfect_guess = true
    min_step_size = 1.0
  [../]
  [./wp]
    type = CappedWeakPlaneCosseratStressUpdate
    warn_about_precision_loss = false
    base_name = wp
    cohesion = wp_coh_harden
    tan_friction_angle = wp_tan_fric
    tan_dilation_angle = wp_tan_dil
    tensile_strength = wp_tensile_str_harden
    compressive_strength = wp_compressive_str_soften
    max_NR_iterations = 10000
    tip_smoother = 0.1
    smoothing_tol = 0.1 # MPa  # Note, this must be tied to cohesion, otherwise get no possible return at cone apex
    yield_function_tol = 1E-11 # MPa.  this is essentially the lowest possible without lots of precision loss
    perfect_guess = true
    min_step_size = 1.0E-3
  [../]
  [./density_0]
    type = GenericConstantMaterial
    block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16'
    prop_names = density
    prop_values = 2500
  [../]
  [./density_1]
    type = GenericFunctionMaterial
    block = 1
    prop_names = density
    prop_values = density_sideways
  [../]
[]
[Preconditioning]
  [./SMP]
    type = SMP
    full = true
  []
[]
[Postprocessors]
  [./min_roof_disp]
    type = NodalExtremeValue
    boundary = roof
    value_type = min
    variable = disp_z
  [../]
  [./min_surface_disp]
    type = NodalExtremeValue
    boundary = zmax
    value_type = min
    variable = disp_z
  [../]
[]
[Executioner]
  type = Transient
  solve_type = 'NEWTON'
  petsc_options = '-snes_converged_reason'
  petsc_options_iname = '-pc_type -ksp_type -ksp_gmres_restart'
  petsc_options_value = ' bjacobi  gmres     200'
  line_search = bt
  nl_abs_tol = 1e-3
  nl_rel_tol = 1e-5
  l_max_its = 30
  nl_max_its = 1000
  start_time = 0.0
  dt = 0.5 # this gives min(disp_z)=-4.3, use dt=0.0625 if you want to restrict disp_z>=-3.2
  end_time = 17.0
[]
[Outputs]
  interval = 1
  print_linear_residuals = false
  exodus = true
  csv = true
  console = true
[]
(modules/tensor_mechanics/test/tests/jacobian/cwp06.i)
# Capped weak-plane plasticity
# checking jacobian for shear failure, with smoothing
[Mesh]
  type = GeneratedMesh
  dim = 3
[]
[GlobalParams]
  block = 0
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[UserObjects]
  [./coh]
    type = TensorMechanicsHardeningExponential
    value_0 = 1
    value_residual = 1
    rate = 1
  [../]
  [./tanphi]
    type = TensorMechanicsHardeningExponential
    value_0 = 1.0
    value_residual = 1.0
    rate = 2
  [../]
  [./tanpsi]
    type = TensorMechanicsHardeningExponential
    value_0 = 0.1
    value_residual = 0.1
    rate = 1
  [../]
  [./t_strength]
    type = TensorMechanicsHardeningExponential
    value_0 = 100
    value_residual = 100
    rate = 1
  [../]
  [./c_strength]
    type = TensorMechanicsHardeningConstant
    value = 100
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    lambda = 1.0
    shear_modulus = 2.0
  [../]
  [./strain]
    type = ComputeIncrementalSmallStrain
    displacements = 'disp_x disp_y disp_z'
    eigenstrain_names = ini_stress
  [../]
  [./ini_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = '0 0 1  0 0 -1  1 -1 0'
    eigenstrain_name = ini_stress
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    inelastic_models = mc
    tangent_operator = nonlinear
  [../]
  [./mc]
    type = CappedWeakPlaneStressUpdate
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    tensile_strength = t_strength
    compressive_strength = c_strength
    max_NR_iterations = 20
    tip_smoother = 1
    smoothing_tol = 2
    yield_function_tol = 1E-10
  [../]
[]
[Preconditioning]
  [./andy]
    type = SMP
    full = true
    petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it -snes_type'
    petsc_options_value = 'bcgs bjacobi 1E-15 1E-10 10000 test'
  [../]
[]
[Executioner]
  type = Transient
  solve_type = Newton
[]
(modules/tensor_mechanics/test/tests/capped_weak_plane/small_deform_cosserat2.i)
# Plastic deformation.  Layered Cosserat with parameters:
# Young = 1.0
# Poisson = 0.2
# layer_thickness = 0.1
# joint_normal_stiffness = 0.25
# joint_shear_stiffness = 0.2
# These give the following nonzero components of the elasticity tensor:
# E_0000 = E_1111 = 1.043195
# E_0011 = E_1100 = 0.260799
# E_2222 = 0.02445
# E_0022 = E_1122 = E_2200 = E_2211 = 0.006112
# G = E_0101 = E_0110 = E_1001 = E_1010 = 0.416667
# Gt = E_0202 = E_0220 = E_2002 = E_1212 = E_1221 = E_2112 = 0.019084
# E_2020 = E_2121 = 0.217875
# They give the following nonzero components of the bending rigidity tensor:
# D = 8.68056E-5
# B_0101 = B_1010 = 7.92021E-4
# B_0110 = B_1001 = -1.584E-4
#
# Applying the following deformation to the zmax surface of a unit cube:
# disp_x = 8*t
# disp_y = 6*t
# disp_z = -t
# omega_x = omega_y = omega_z = 0
# yields the following strains:
# strain_xz = 8*t
# strain_yz = 6*t
# strain_zz = -t
# and all other components, and the curvature, are zero.
# The nonzero components of stress are therefore:
# stress_xx = stress_yy = -0.006112*t
# stress_xz = stress_zx = 0.152671*t
# stress_yz = stress_zy = 0.114504*t
# stress_zz = -0.0244499*t
# The moment stress is zero.
# So q = 0.19084*t and p = -0.0244*t.
#
# With large cohesion, but compressive strength = 0.0244499, the
# system is elastic up to t=1.  After that time
# stress_zz = -0.0244499 (for t>=1)
# and
# stress_xx = stress_yy = -0.006112 (for t>=1), since the
# elastic trial increment is exactly canelled by the Poisson's
# contribution from the return to the yield surface.
# The plastic strains are zero for t<=1, but for larger times:
# plastic_strain_zz = - (t - 1)  (for t>=1)
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  Cosserat_rotations = 'wc_x wc_y wc_z'
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
  [./wc_x]
  [../]
  [./wc_y]
  [../]
[]
[Kernels]
  [./cx_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_x
    component = 0
  [../]
  [./cy_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_y
    component = 1
  [../]
  [./cz_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_z
    component = 2
  [../]
  [./x_couple]
    type = StressDivergenceTensors
    variable = wc_x
    displacements = 'wc_x wc_y wc_z'
    component = 0
    base_name = couple
  [../]
  [./y_couple]
    type = StressDivergenceTensors
    variable = wc_y
    displacements = 'wc_x wc_y wc_z'
    component = 1
    base_name = couple
  [../]
  [./x_moment]
    type = MomentBalancing
    variable = wc_x
    component = 0
  [../]
  [./y_moment]
    type = MomentBalancing
    variable = wc_y
    component = 1
  [../]
[]
[BCs]
  [./bottomx]
    type = DirichletBC
    variable = disp_x
    boundary = back
    value = 0.0
  [../]
  [./bottomy]
    type = DirichletBC
    variable = disp_y
    boundary = back
    value = 0.0
  [../]
  [./bottomz]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0.0
  [../]
  [./topx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = front
    function = 8*t
  [../]
  [./topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = front
    function = 6*t
  [../]
  [./topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = -t
  [../]
[]
[AuxVariables]
  [./wc_z]
  [../]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./couple_stress_xx]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_xy]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_xz]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_yx]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_yy]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_yz]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_zx]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_zy]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_zz]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./strainp_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_yx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_zx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_zy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_yx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_zx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_zy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_compressive]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./ls]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yx
    index_i = 1
    index_j = 0
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zx
    index_i = 2
    index_j = 0
  [../]
  [./stress_zy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zy
    index_i = 2
    index_j = 1
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./couple_stress_xx]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./couple_stress_xy]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./couple_stress_xz]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./couple_stress_yx]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_yx
    index_i = 1
    index_j = 0
  [../]
  [./couple_stress_yy]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./couple_stress_yz]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./couple_stress_zx]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_zx
    index_i = 2
    index_j = 0
  [../]
  [./couple_stress_zy]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_zy
    index_i = 2
    index_j = 1
  [../]
  [./couple_stress_zz]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./strainp_xx]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_xx
    index_i = 0
    index_j = 0
  [../]
  [./strainp_xy]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_xy
    index_i = 0
    index_j = 1
  [../]
  [./strainp_xz]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_xz
    index_i = 0
    index_j = 2
  [../]
  [./strainp_yx]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_yx
    index_i = 1
    index_j = 0
  [../]
  [./strainp_yy]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_yy
    index_i = 1
    index_j = 1
  [../]
  [./strainp_yz]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_yz
    index_i = 1
    index_j = 2
  [../]
  [./strainp_zx]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_zx
    index_i = 2
    index_j = 0
  [../]
  [./strainp_zy]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_zy
    index_i = 2
    index_j = 1
  [../]
  [./strainp_zz]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_zz
    index_i = 2
    index_j = 2
  [../]
  [./straint_xx]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_xx
    index_i = 0
    index_j = 0
  [../]
  [./straint_xy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_xy
    index_i = 0
    index_j = 1
  [../]
  [./straint_xz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_xz
    index_i = 0
    index_j = 2
  [../]
  [./straint_yx]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_yx
    index_i = 1
    index_j = 0
  [../]
  [./straint_yy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_yy
    index_i = 1
    index_j = 1
  [../]
  [./straint_yz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_yz
    index_i = 1
    index_j = 2
  [../]
  [./straint_zx]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_zx
    index_i = 2
    index_j = 0
  [../]
  [./straint_zy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_zy
    index_i = 2
    index_j = 1
  [../]
  [./straint_zz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_zz
    index_i = 2
    index_j = 2
  [../]
  [./f_shear]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f_shear
  [../]
  [./f_tensile]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f_tensile
  [../]
  [./f_compressive]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f_compressive
  [../]
  [./intnl_shear]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = intnl_shear
  [../]
  [./intnl_tensile]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 1
    variable = intnl_tensile
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./ls]
    type = MaterialRealAux
    property = plastic_linesearch_needed
    variable = ls
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yx]
    type = PointValue
    point = '0 0 0'
    variable = stress_yx
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zx]
    type = PointValue
    point = '0 0 0'
    variable = stress_zx
  [../]
  [./s_zy]
    type = PointValue
    point = '0 0 0'
    variable = stress_zy
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./c_s_xx]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_xx
  [../]
  [./c_s_xy]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_xy
  [../]
  [./c_s_xz]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_xz
  [../]
  [./c_s_yx]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_yx
  [../]
  [./c_s_yy]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_yy
  [../]
  [./c_s_yz]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_yz
  [../]
  [./c_s_zx]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_zx
  [../]
  [./c_s_zy]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_zy
  [../]
  [./c_s_zz]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_zz
  [../]
  [./strainp_xx]
    type = PointValue
    point = '0 0 0'
    variable = strainp_xx
  [../]
  [./strainp_xy]
    type = PointValue
    point = '0 0 0'
    variable = strainp_xy
  [../]
  [./strainp_xz]
    type = PointValue
    point = '0 0 0'
    variable = strainp_xz
  [../]
  [./strainp_yx]
    type = PointValue
    point = '0 0 0'
    variable = strainp_yx
  [../]
  [./strainp_yy]
    type = PointValue
    point = '0 0 0'
    variable = strainp_yy
  [../]
  [./strainp_yz]
    type = PointValue
    point = '0 0 0'
    variable = strainp_yz
  [../]
  [./strainp_zx]
    type = PointValue
    point = '0 0 0'
    variable = strainp_zx
  [../]
  [./strainp_zy]
    type = PointValue
    point = '0 0 0'
    variable = strainp_zy
  [../]
  [./strainp_zz]
    type = PointValue
    point = '0 0 0'
    variable = strainp_zz
  [../]
  [./straint_xx]
    type = PointValue
    point = '0 0 0'
    variable = straint_xx
  [../]
  [./straint_xy]
    type = PointValue
    point = '0 0 0'
    variable = straint_xy
  [../]
  [./straint_xz]
    type = PointValue
    point = '0 0 0'
    variable = straint_xz
  [../]
  [./straint_yx]
    type = PointValue
    point = '0 0 0'
    variable = straint_yx
  [../]
  [./straint_yy]
    type = PointValue
    point = '0 0 0'
    variable = straint_yy
  [../]
  [./straint_yz]
    type = PointValue
    point = '0 0 0'
    variable = straint_yz
  [../]
  [./straint_zx]
    type = PointValue
    point = '0 0 0'
    variable = straint_zx
  [../]
  [./straint_zy]
    type = PointValue
    point = '0 0 0'
    variable = straint_zy
  [../]
  [./straint_zz]
    type = PointValue
    point = '0 0 0'
    variable = straint_zz
  [../]
  [./f_shear]
    type = PointValue
    point = '0 0 0'
    variable = f_shear
  [../]
  [./f_tensile]
    type = PointValue
    point = '0 0 0'
    variable = f_tensile
  [../]
  [./f_compressive]
    type = PointValue
    point = '0 0 0'
    variable = f_compressive
  [../]
  [./intnl_shear]
    type = PointValue
    point = '0 0 0'
    variable = intnl_shear
  [../]
  [./intnl_tensile]
    type = PointValue
    point = '0 0 0'
    variable = intnl_tensile
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
  [./ls]
    type = PointValue
    point = '0 0 0'
    variable = ls
  [../]
[]
[UserObjects]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 30
  [../]
  [./tanphi]
    type = TensorMechanicsHardeningConstant
    value = 0.5
  [../]
  [./tanpsi]
    type = TensorMechanicsHardeningConstant
    value = 0.1111077
  [../]
  [./t_strength]
    type = TensorMechanicsHardeningConstant
    value = 40
  [../]
  [./c_strength]
    type = TensorMechanicsHardeningConstant
    value = 0.024449878
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeLayeredCosseratElasticityTensor
    young = 1.0
    poisson = 0.2
    layer_thickness = 0.1
    joint_normal_stiffness = 0.25
    joint_shear_stiffness = 0.2
  [../]
  [./strain]
    type = ComputeCosseratIncrementalSmallStrain
  [../]
  [./admissible]
    type = ComputeMultipleInelasticCosseratStress
    inelastic_models = stress
    perform_finite_strain_rotations = false
  [../]
  [./stress]
    type = CappedWeakPlaneCosseratStressUpdate
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    tensile_strength = t_strength
    compressive_strength = c_strength
    tip_smoother = 0
    smoothing_tol = 1
    yield_function_tol = 1E-5
  [../]
[]
[Executioner]
  nl_abs_tol = 1E-14
  end_time = 3
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform_cosserat2
  csv = true
[]
(modules/tensor_mechanics/test/tests/mean_cap_TC/random01.i)
# apply many random large deformations, checking that the algorithm returns correctly to
# the yield surface each time.
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1000
  ny = 125
  nz = 1
  xmin = 0
  xmax = 1000
  ymin = 0
  ymax = 125
  zmin = 0
  zmax = 1
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[ICs]
  [./x]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_x
  [../]
  [./y]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_y
  [../]
  [./z]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_z
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '0'
  [../]
[]
[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
[]
[Postprocessors]
  [./max_yield_fcn]
    type = ElementExtremeValue
    variable = yield_fcn
    outputs = 'console'
  [../]
  [./should_be_zero]
    type = FunctionValuePostprocessor
    function = should_be_zero_fcn
  [../]
  [./av_iter]
    type = ElementAverageValue
    variable = iter
    outputs = 'console'
  [../]
[]
[Functions]
  [./should_be_zero_fcn]
    type = ParsedFunction
    value = 'if(a<1E-3,0,a)'
    vars = 'a'
    vals = 'max_yield_fcn'
  [../]
[]
[UserObjects]
  [./tensile_strength]
    type = TensorMechanicsHardeningConstant
    value = 1
  [../]
  [./compressive_strength]
    type = TensorMechanicsHardeningConstant
    value = -1.5
  [../]
  [./cap]
    type = TensorMechanicsPlasticMeanCapTC
    tensile_strength = tensile_strength
    compressive_strength = compressive_strength
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-9
    use_custom_returnMap = false
    use_custom_cto = false
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0.7E7 1E7'
  [../]
  [./strain]
    type = ComputeIncrementalSmallStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    max_NR_iterations = 2
    ep_plastic_tolerance = 1E-6
    plastic_models = cap
  [../]
[]
[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = random01
  exodus = false
  [./csv]
    type = CSV
  [../]
[]
(modules/tensor_mechanics/test/tests/tensile/small_deform8_update_version.i)
# A single unit element is stretched by 1E-6m in z direction.
# with Lame lambda = 0.6E6 and Lame mu (shear) = 1E6
# stress_zz = 2.6 Pa
# stress_xx = 0.6 Pa
# stress_yy = 0.6 Pa
# tensile_strength is set to 0.5Pa
#
# stress_zz = 0.5
# plastic multiplier = 2.1/2.6 E-6
# stress_xx = 0.6 - (2.1/2.6*0.6) = 0.115
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    incremental = true
    strain = finite
    generate_output = 'max_principal_stress mid_principal_stress min_principal_stress stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1.0E-6*z'
  [../]
[]
[AuxVariables]
  [./f0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./f0_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f0
  [../]
  [./f1_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f1
  [../]
  [./f2_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f2
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./intnl_auxk]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = intnl
  [../]
[]
[Postprocessors]
  [./s_I]
    type = PointValue
    point = '0 0 0'
    variable = max_principal_stress
  [../]
  [./s_II]
    type = PointValue
    point = '0 0 0'
    variable = mid_principal_stress
  [../]
  [./s_III]
    type = PointValue
    point = '0 0 0'
    variable = min_principal_stress
  [../]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = f0
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = f1
  [../]
  [./f2]
    type = PointValue
    point = '0 0 0'
    variable = f2
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
  [./intnl]
    type = PointValue
    point = '0 0 0'
    variable = intnl
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 0.5
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '0.6E6 1E6'
  [../]
  [./tensile]
    type = TensileStressUpdate
    tensile_strength = ts
    smoothing_tol = 0.0
    yield_function_tol = 1.0E-12
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = tensile
    perform_finite_strain_rotations = false
  [../]
[]
[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform8_update_version
  exodus = false
  [./csv]
    type = CSV
  [../]
[]
(modules/tensor_mechanics/examples/coal_mining/cosserat_mc_only.i)
# Strata deformation and fracturing around a coal mine
#
# A 2D geometry is used that simulates a transverse section of
# the coal mine.  The model is actually 3D, but the "x"
# dimension is only 10m long, meshed with 1 element, and
# there is no "x" displacement.  The mine is 300m deep
# and just the roof is studied (0<=z<=300).  The model sits
# between 0<=y<=450.  The excavation sits in 0<=y<=150.  This
# is a "half model": the boundary conditions are such that
# the model simulates an excavation sitting in -150<=y<=150
# inside a model of the region -450<=y<=450.  The
# excavation height is 3m (ie, the excavation lies within
# 0<=z<=3).  Mining is simulated by moving the excavation's
# roof down, until disp_z=-3 at t=1.
# Time is meaningless in this example
# as quasi-static solutions are sought at each timestep, but
# the number of timesteps controls the resolution of the
# process.
#
# The boundary conditions are:
#  - disp_x = 0 everywhere
#  - disp_y = 0 at y=0 and y=450
#  - disp_z = 0 for y>150
#  - disp_z = -3 at maximum, for 0<=y<=150.  See excav function.
# That is, rollers on the sides, free at top, and prescribed at bottom.
#
# The small strain formulation is used.
#
# All stresses are measured in MPa.  The initial stress is consistent with
# the weight force from density 2500 kg/m^3, ie, stress_zz = -0.025*(300-z) MPa
# where gravity = 10 m.s^-2 = 1E-5 MPa m^2/kg.  The maximum and minimum
# principal horizontal stresses are assumed to be equal to 0.8*stress_zz.
#
# Below you will see weak-plane parameters and AuxVariables, etc.
# These are not actally used in this example.
#
# Material properties:
# Young's modulus = 8 GPa
# Poisson's ratio = 0.25
# Cosserat layer thickness = 1 m
# Cosserat-joint normal stiffness = large
# Cosserat-joint shear stiffness = 1 GPa
# MC cohesion = 3 MPa
# MC friction angle = 37 deg
# MC dilation angle = 8 deg
# MC tensile strength = 1 MPa
# MC compressive strength = 100 MPa, varying down to 1 MPa when tensile strain = 1
#
[Mesh]
  [generated_mesh]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 1
    xmin = -5
    xmax = 5
    nz = 40
    zmin = 0
    zmax = 400.0
    bias_z = 1.1
    ny = 30 # make this a multiple of 3, so y=150 is at a node
    ymin = 0
    ymax = 450
  []
  [left]
    type = SideSetsAroundSubdomainGenerator
    new_boundary = 11
    normal = '0 -1 0'
    input = generated_mesh
  []
  [right]
    type = SideSetsAroundSubdomainGenerator
    new_boundary = 12
    normal = '0 1 0'
    input = left
  []
  [front]
    type = SideSetsAroundSubdomainGenerator
    new_boundary = 13
    normal = '-1 0 0'
    input = right
  []
  [back]
    type = SideSetsAroundSubdomainGenerator
    new_boundary = 14
    normal = '1 0 0'
    input = front
  []
  [top]
    type = SideSetsAroundSubdomainGenerator
    new_boundary = 15
    normal = '0 0 1'
    input = back
  []
  [bottom]
    type = SideSetsAroundSubdomainGenerator
    new_boundary = 16
    normal = '0 0 -1'
    input = top
  []
  [excav]
    type = SubdomainBoundingBoxGenerator
    block_id = 1
    bottom_left = '-5 0 0'
    top_right = '5 150 3'
    input = bottom
  []
  [roof]
    type = SideSetsBetweenSubdomainsGenerator
    new_boundary = 21
    primary_block = 0
    paired_block = 1
    input = excav
  []
  [hole]
    type = BlockDeletionGenerator
    block = 1
    input = roof
  []
[]
[GlobalParams]
  block = 0
  perform_finite_strain_rotations = false
  displacements = 'disp_x disp_y disp_z'
  Cosserat_rotations = 'wc_x wc_y wc_z'
[]
[Variables]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
  [./wc_x]
  [../]
[]
[Kernels]
  [./cy_elastic]
    type = CosseratStressDivergenceTensors
    use_displaced_mesh = false
    variable = disp_y
    component = 1
  [../]
  [./cz_elastic]
    type = CosseratStressDivergenceTensors
    use_displaced_mesh = false
    variable = disp_z
    component = 2
  [../]
  [./x_couple]
    type = StressDivergenceTensors
    use_displaced_mesh = false
    variable = wc_x
    displacements = 'wc_x wc_y wc_z'
    component = 0
    base_name = couple
  [../]
  [./x_moment]
    type = MomentBalancing
    use_displaced_mesh = false
    variable = wc_x
    component = 0
  [../]
  [./gravity]
    type = Gravity
    use_displaced_mesh = false
    variable = disp_z
    value = -10E-6
  [../]
[]
[AuxVariables]
  [./disp_x]
  [../]
  [./wc_y]
  [../]
  [./wc_z]
  [../]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mc_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mc_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./wp_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./wp_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./wp_shear_f]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./wp_tensile_f]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mc_shear_f]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mc_tensile_f]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./mc_shear]
    type = MaterialStdVectorAux
    index = 0
    property = mc_plastic_internal_parameter
    variable = mc_shear
  [../]
  [./mc_tensile]
    type = MaterialStdVectorAux
    index = 1
    property = mc_plastic_internal_parameter
    variable = mc_tensile
  [../]
  [./wp_shear]
    type = MaterialStdVectorAux
    index = 0
    property = wp_plastic_internal_parameter
    variable = wp_shear
  [../]
  [./wp_tensile]
    type = MaterialStdVectorAux
    index = 1
    property = wp_plastic_internal_parameter
    variable = wp_tensile
  [../]
  [./mc_shear_f]
    type = MaterialStdVectorAux
    index = 6
    property = mc_plastic_yield_function
    variable = mc_shear_f
  [../]
  [./mc_tensile_f]
    type = MaterialStdVectorAux
    index = 0
    property = mc_plastic_yield_function
    variable = mc_tensile_f
  [../]
  [./wp_shear_f]
    type = MaterialStdVectorAux
    index = 0
    property = wp_plastic_yield_function
    variable = wp_shear_f
  [../]
  [./wp_tensile_f]
    type = MaterialStdVectorAux
    index = 1
    property = wp_plastic_yield_function
    variable = wp_tensile_f
  [../]
[]
[BCs]
  [./no_y]
    type = DirichletBC
    variable = disp_y
    boundary = '11 12 16 21' # note addition of 16 and 21
    value = 0.0
  [../]
  [./no_z]
    type = DirichletBC
    variable = disp_z
    boundary = '16'
    value = 0.0
  [../]
  [./no_wc_x]
    type = DirichletBC
    variable = wc_x
    boundary = '11 12'
    value = 0.0
  [../]
  [./roof]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 21
    function = excav_sideways
  [../]
[]
[Functions]
  [./ini_xx]
    type = ParsedFunction
    value = '-0.8*2500*10E-6*(400-z)'
  [../]
  [./ini_zz]
    type = ParsedFunction
    value = '-2500*10E-6*(400-z)'
  [../]
  [./excav_sideways]
    type = ParsedFunction
    vars = 'end_t ymin ymax  e_h  closure_dist'
    vals = '1.0   0    150.0 -3.0 15.0'
    value = 'e_h*max(min((t/end_t*(ymax-ymin)+ymin-y)/closure_dist,1),0)'
  [../]
  [./excav_downwards]
    type = ParsedFunction
    vars = 'end_t ymin ymax  e_h  closure_dist'
    vals = '1.0   0    150.0 -3.0 15.0'
    value = 'e_h*t/end_t*max(min(((ymax-ymin)+ymin-y)/closure_dist,1),0)'
  [../]
[]
[UserObjects]
  [./mc_coh_strong_harden]
    type = TensorMechanicsHardeningExponential
    value_0 = 2.99 # MPa
    value_residual = 3.01 # MPa
    rate = 1.0
  [../]
  [./mc_fric]
    type = TensorMechanicsHardeningConstant
    value = 0.65 # 37deg
  [../]
  [./mc_dil]
    type = TensorMechanicsHardeningConstant
    value = 0.15 # 8deg
  [../]
  [./mc_tensile_str_strong_harden]
    type = TensorMechanicsHardeningExponential
    value_0 = 1.0 # MPa
    value_residual = 1.0 # MPa
    rate = 1.0
  [../]
  [./mc_compressive_str]
    type = TensorMechanicsHardeningCubic
    value_0 = 100 # Large!
    value_residual = 100
    internal_limit = 0.1
  [../]
  [./wp_coh_harden]
    type = TensorMechanicsHardeningCubic
    value_0 = 0.1
    value_residual = 0.1
    internal_limit = 10
  [../]
  [./wp_tan_fric]
    type = TensorMechanicsHardeningConstant
    value = 0.36 # 20deg
  [../]
  [./wp_tan_dil]
    type = TensorMechanicsHardeningConstant
    value = 0.18 # 10deg
  [../]
  [./wp_tensile_str_harden]
    type = TensorMechanicsHardeningCubic
    value_0 = 0.1
    value_residual = 0.1
    internal_limit = 10
  [../]
  [./wp_compressive_str_soften]
    type = TensorMechanicsHardeningCubic
    value_0 = 100
    value_residual = 1.0
    internal_limit = 1.0
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeLayeredCosseratElasticityTensor
    young = 8E3 # MPa
    poisson = 0.25
    layer_thickness = 1.0
    joint_normal_stiffness = 1E9 # huge
    joint_shear_stiffness = 1E3
  [../]
  [./strain]
    type = ComputeCosseratIncrementalSmallStrain
    eigenstrain_names = ini_stress
  [../]
  [./ini_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = 'ini_xx 0 0  0 ini_xx 0  0 0 ini_zz'
    eigenstrain_name = ini_stress
  [../]
  [./stress]
    type = ComputeMultipleInelasticCosseratStress
    block = 0
    inelastic_models = mc
    relative_tolerance = 2.0
    absolute_tolerance = 1E6
    max_iterations = 1
    tangent_operator = nonlinear
    perform_finite_strain_rotations = false
  [../]
  [./mc]
    type = CappedMohrCoulombCosseratStressUpdate
    block = 0
    warn_about_precision_loss = false
    host_youngs_modulus = 8E3
    host_poissons_ratio = 0.25
    base_name = mc
    tensile_strength = mc_tensile_str_strong_harden
    compressive_strength = mc_compressive_str
    cohesion = mc_coh_strong_harden
    friction_angle = mc_fric
    dilation_angle = mc_dil
    max_NR_iterations = 100000
    smoothing_tol = 0.1 # MPa  # Must be linked to cohesion
    yield_function_tol = 1E-9 # MPa.  this is essentially the lowest possible without lots of precision loss
    perfect_guess = true
    min_step_size = 1.0
  [../]
  [./wp]
    type = CappedWeakPlaneCosseratStressUpdate
    block = 0
    warn_about_precision_loss = false
    base_name = wp
    cohesion = wp_coh_harden
    tan_friction_angle = wp_tan_fric
    tan_dilation_angle = wp_tan_dil
    tensile_strength = wp_tensile_str_harden
    compressive_strength = wp_compressive_str_soften
    max_NR_iterations = 10000
    tip_smoother = 0.1
    smoothing_tol = 0.1 # MPa  # Note, this must be tied to cohesion, otherwise get no possible return at cone apex
    yield_function_tol = 1E-11 # MPa.  this is essentially the lowest possible without lots of precision loss
    perfect_guess = true
    min_step_size = 1.0E-3
  [../]
  [./density]
    type = GenericConstantMaterial
    prop_names = density
    prop_values = 2500
  [../]
[]
[Postprocessors]
  [./subsidence]
    type = PointValue
    point = '0 0 400'
    variable = disp_z
    use_displaced_mesh = false
  [../]
[]
[Preconditioning]
  [./SMP]
    type = SMP
    full = true
  []
[]
[Executioner]
  type = Transient
  solve_type = 'NEWTON'
  petsc_options = '-snes_converged_reason'
  petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -ksp_type -ksp_gmres_restart'
  petsc_options_value = ' asm      2              lu            gmres     200'
  line_search = bt
  nl_abs_tol = 1e-3
  nl_rel_tol = 1e-5
  l_max_its = 30
  nl_max_its = 1000
  start_time = 0.0
  dt = 0.2
  end_time = 0.2
[]
[Outputs]
  file_base = cosserat_mc_only
  interval = 1
  print_linear_residuals = false
  csv = true
  exodus = true
  [./console]
    type = Console
    output_linear = false
  [../]
[]
(modules/tensor_mechanics/test/tests/capped_weak_plane/beam.i)
# A beam with its ends fully clamped
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 10
  nz = 10
  xmin = -10
  xmax = 10
  ymin = -10
  ymax = 10
  zmin = -50
  zmax = 0
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
  [../]
  [./gravity_y]
    type = Gravity
    use_displaced_mesh = false
    variable = disp_y
    value = -10
  [../]
[]
[BCs]
  [./zmax_xfixed]
    type = DirichletBC
    variable = disp_x
    boundary = front
    value = 0
  [../]
  [./zmax_yfixed]
    type = DirichletBC
    variable = disp_y
    boundary = front
    value = 0
  [../]
  [./zmax_zfixed]
    type = DirichletBC
    variable = disp_z
    boundary = front
    value = 0
  [../]
  [./zmin_xfixed]
    type = DirichletBC
    variable = disp_x
    boundary = back
    value = 0
  [../]
  [./zmin_yfixed]
    type = DirichletBC
    variable = disp_y
    boundary = back
    value = 0
  [../]
  [./zmin_zfixed]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0
  [../]
[]
[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_compressive]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./ls]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./strainp_xx]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_xx
    index_i = 0
    index_j = 0
  [../]
  [./strainp_xy]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_xy
    index_i = 0
    index_j = 1
  [../]
  [./strainp_xz]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_xz
    index_i = 0
    index_j = 2
  [../]
  [./strainp_yy]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_yy
    index_i = 1
    index_j = 1
  [../]
  [./strainp_yz]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_yz
    index_i = 1
    index_j = 2
  [../]
  [./strainp_zz]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_zz
    index_i = 2
    index_j = 2
  [../]
  [./straint_xx]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_xx
    index_i = 0
    index_j = 0
  [../]
  [./straint_xy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_xy
    index_i = 0
    index_j = 1
  [../]
  [./straint_xz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_xz
    index_i = 0
    index_j = 2
  [../]
  [./straint_yy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_yy
    index_i = 1
    index_j = 1
  [../]
  [./straint_yz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_yz
    index_i = 1
    index_j = 2
  [../]
  [./straint_zz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_zz
    index_i = 2
    index_j = 2
  [../]
  [./f_shear]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f_shear
  [../]
  [./f_tensile]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f_tensile
  [../]
  [./f_compressive]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f_compressive
  [../]
  [./intnl_shear]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = intnl_shear
  [../]
  [./intnl_tensile]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 1
    variable = intnl_tensile
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./ls]
    type = MaterialRealAux
    property = plastic_linesearch_needed
    variable = ls
  [../]
[]
[UserObjects]
  [./coh_irrelevant]
    type = TensorMechanicsHardeningCubic
    value_0 = 2E6
    value_residual = 2E6
    internal_limit = 0.01
  [../]
  [./tanphi]
    type = TensorMechanicsHardeningCubic
    value_0 = 0.5
    value_residual = 0.5
    internal_limit = 0.01
  [../]
  [./tanpsi]
    type = TensorMechanicsHardeningConstant
    value = 0.166666666667
  [../]
  [./t_strength]
    type = TensorMechanicsHardeningCubic
    value_0 = 0
    value_residual = 0
    internal_limit = 0.1
  [../]
  [./c_strength]
    type = TensorMechanicsHardeningCubic
    value_0 = 1E80
    value_residual = 0.0
    internal_limit = 0.01
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '6.4E9 6.4E9'  # young 16MPa, Poisson 0.25
  [../]
  [./strain]
    type = ComputeIncrementalSmallStrain
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    inelastic_models = stress
    tangent_operator = nonlinear
    perform_finite_strain_rotations = false
  [../]
  [./stress]
    type = CappedWeakPlaneStressUpdate
    cohesion = coh_irrelevant
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    tensile_strength = t_strength
    compressive_strength = c_strength
    max_NR_iterations = 1000
    tip_smoother = 1E5
    smoothing_tol = 1E5
    yield_function_tol = 1E-5
    perfect_guess = true
    min_step_size = 0.1
  [../]
  [./density]
    type = GenericFunctionMaterial
    block = 0
    prop_names = density
    prop_values = 1E3*t
  [../]
[]
[Preconditioning]
  [./andy]
    type = SMP
    full = true
    #petsc_options = '-snes_converged_reason -snes_linesearch_monitor'
    petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -ksp_type -ksp_gmres_restart'
    petsc_options_value = ' asm      2              lu            gmres     200'
  [../]
[]
[Executioner]
  solve_type = 'NEWTON'
  petsc_options = '-snes_converged_reason'
  line_search = bt
  nl_abs_tol = 1E-2
  nl_rel_tol = 1e-15
  l_tol = 1E-10
  l_max_its = 100
  nl_max_its = 100
  end_time = 10
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = beam
  exodus = true
  csv = true
[]
(modules/tensor_mechanics/test/tests/multi/paper3.i)
# This runs the third example models described in the 'MultiSurface' plasticity paper
# Just change the deactivation_scheme
#
# Plasticity models:
# Mohr-Coulomb with cohesion = 40MPa, friction angle = 35deg, dilation angle = 5deg
# Tensile with strength = 1MPa
# WeakPlaneTensile with strength = 1000Pa
# WeakPlaneShear with cohesion = 0.1MPa and friction angle = 25, dilation angle = 5deg
#
# Lame lambda = 1.2GPa.  Lame mu = 1.2GPa (Young = 3GPa, poisson = 0.5)
#
# A line of elements is perturbed randomly, and return to the yield surface at each quadpoint is checked
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1000
  ny = 125
  nz = 1
  xmin = 0
  xmax = 1000
  ymin = 0
  ymax = 125
  zmin = 0
  zmax = 1
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[GlobalParams]
  volumetric_locking_correction=true
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[ICs]
  [./x]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_x
  [../]
  [./y]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_y
  [../]
  [./z]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_z
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '0'
  [../]
[]
[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./linesearch]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./ld]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./constr_added]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./linesearch]
    type = MaterialRealAux
    property = plastic_linesearch_needed
    variable = linesearch
  [../]
  [./ld]
    type = MaterialRealAux
    property = plastic_linear_dependence_encountered
    variable = ld
  [../]
  [./constr_added]
    type = MaterialRealAux
    property = plastic_constraints_added
    variable = constr_added
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
[]
[Postprocessors]
  [./max_iter]
    type = ElementExtremeValue
    variable = iter
    outputs = console
  [../]
  [./av_iter]
    type = ElementAverageValue
    variable = iter
    outputs = 'console csv'
  [../]
  [./av_linesearch]
    type = ElementAverageValue
    variable = linesearch
    outputs = 'console csv'
  [../]
  [./av_ld]
    type = ElementAverageValue
    variable = ld
    outputs = 'console csv'
  [../]
  [./av_constr_added]
    type = ElementAverageValue
    variable = constr_added
    outputs = 'console csv'
  [../]
[]
[UserObjects]
  [./mc_coh]
    type = TensorMechanicsHardeningConstant
    value = 4E7
  [../]
  [./mc_phi]
    type = TensorMechanicsHardeningConstant
    value = 35
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = TensorMechanicsHardeningConstant
    value = 5
    convert_to_radians = true
  [../]
  [./mc]
    type = TensorMechanicsPlasticMohrCoulombMulti
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    yield_function_tolerance = 1.0
    shift = 1.0
    internal_constraint_tolerance = 1.0E-7
  [../]
  [./mc_smooth]
    type = TensorMechanicsPlasticMohrCoulomb
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    mc_tip_smoother = 4E6
    yield_function_tolerance = 1.0
    internal_constraint_tolerance = 1.0E-7
  [../]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./tensile]
    type = TensorMechanicsPlasticTensileMulti
    tensile_strength = ts
    yield_function_tolerance = 1.0
    shift = 1.0
    internal_constraint_tolerance = 1.0E-7
    use_custom_returnMap = false
    use_custom_cto = false
  [../]
  [./tensile_smooth]
    type = TensorMechanicsPlasticTensile
    tensile_strength = ts
    tensile_tip_smoother = 1E5
    yield_function_tolerance = 1.0
    internal_constraint_tolerance = 1.0E-7
  [../]
  [./wpt_str]
    type = TensorMechanicsHardeningConstant
    value = 1.0E3
  [../]
  [./wpt]
    type = TensorMechanicsPlasticWeakPlaneTensile
    tensile_strength = wpt_str
    yield_function_tolerance = 1.0
    internal_constraint_tolerance = 1.0E-7
  [../]
  [./wps_c]
    type = TensorMechanicsHardeningConstant
    value = 1.0E5
  [../]
  [./wps_tan_phi]
    type = TensorMechanicsHardeningConstant
    value = 0.466
  [../]
  [./wps_tan_psi]
    type = TensorMechanicsHardeningConstant
    value = 0.087
  [../]
  [./wps]
    type = TensorMechanicsPlasticWeakPlaneShear
    cohesion = wps_c
    tan_friction_angle = wps_tan_phi
    tan_dilation_angle = wps_tan_psi
    smoother = 1.0E4
    yield_function_tolerance = 1.0
    internal_constraint_tolerance = 1.0E-7
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '1.2E9 1.2E9'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./multi]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-7
    plastic_models = 'tensile_smooth mc_smooth wpt wps'
    max_NR_iterations = 30
    specialIC = 'none'
    deactivation_scheme = 'optimized'
    min_stepsize = 1E-6
    max_stepsize_for_dumb = 1E-2
    debug_fspb = crash
    debug_jac_at_stress = '10 0 0 0 10 0 0 0 10'
    debug_jac_at_pm = '1 1 1 1'
    debug_jac_at_intnl = '1 1 1 1'
    debug_stress_change = 1E1
    debug_pm_change = '1E-6 1E-6 1E-6 1E-6'
    debug_intnl_change = '1E-6 1E-6 1E-6 1E-6'
  [../]
[]
[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = paper3
  exodus = false
  csv = true
[]
(modules/tensor_mechanics/test/tests/mean_cap_TC/small_deform1.i)
# apply uniform stretch in x, y and z directions.
# trial_stress(0, 0) = -2
# trial_stress(1, 1) = 6
# trial_stress(2, 2) = 10
# With tensile_strength = 2, the algorithm should return to trace(stress) = 2, or
# stress(0, 0) = -6
# stress(1, 1) = 2
# stress(2, 2) = 6
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '-1E-7*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '3E-7*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '5E-7*z'
  [../]
[]
[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./f]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = f
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = f
  [../]
[]
[UserObjects]
  [./tensile_strength]
    type = TensorMechanicsHardeningConstant
    value = 2
  [../]
  [./compressive_strength]
    type = TensorMechanicsHardeningConstant
    value = -1
  [../]
  [./cap]
    type = TensorMechanicsPlasticMeanCapTC
    tensile_strength = tensile_strength
    compressive_strength = compressive_strength
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-9
    use_custom_returnMap = false
    use_custom_cto = false
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./strain]
    type = ComputeIncrementalSmallStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mean_cap]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = cap
  [../]
[]
[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform1
  exodus = false
  [./csv]
    type = CSV
  [../]
[]
(modules/tensor_mechanics/test/tests/capped_weak_plane/pull_push_h.i)
# A column of elements has its bottom pulled down, and then pushed up again.
# Hardening of the tensile strength means that the top element also
# experiences plastic deformation
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 2
  xmin = -10
  xmax = 10
  ymin = -10
  ymax = 10
  zmin = -100
  zmax = 0
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
  [../]
[]
[BCs]
  [./no_x2]
    type = DirichletBC
    variable = disp_x
    boundary = right
    value = 0.0
  [../]
  [./no_x1]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0.0
  [../]
  [./no_y1]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0.0
  [../]
  [./no_y2]
    type = DirichletBC
    variable = disp_y
    boundary = top
    value = 0.0
  [../]
  [./topz]
    type = DirichletBC
    variable = disp_z
    boundary = front
    value = 0
  [../]
  [./bottomz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = back
    function = 'if(t>1,-2.0+t,-t)'
  [../]
[]
[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_compressive]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./ls]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./strainp_xx]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_xx
    index_i = 0
    index_j = 0
  [../]
  [./strainp_xy]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_xy
    index_i = 0
    index_j = 1
  [../]
  [./strainp_xz]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_xz
    index_i = 0
    index_j = 2
  [../]
  [./strainp_yy]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_yy
    index_i = 1
    index_j = 1
  [../]
  [./strainp_yz]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_yz
    index_i = 1
    index_j = 2
  [../]
  [./strainp_zz]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_zz
    index_i = 2
    index_j = 2
  [../]
  [./straint_xx]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_xx
    index_i = 0
    index_j = 0
  [../]
  [./straint_xy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_xy
    index_i = 0
    index_j = 1
  [../]
  [./straint_xz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_xz
    index_i = 0
    index_j = 2
  [../]
  [./straint_yy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_yy
    index_i = 1
    index_j = 1
  [../]
  [./straint_yz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_yz
    index_i = 1
    index_j = 2
  [../]
  [./straint_zz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_zz
    index_i = 2
    index_j = 2
  [../]
  [./f_shear]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f_shear
  [../]
  [./f_tensile]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f_tensile
  [../]
  [./f_compressive]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f_compressive
  [../]
  [./intnl_shear]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = intnl_shear
  [../]
  [./intnl_tensile]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 1
    variable = intnl_tensile
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./ls]
    type = MaterialRealAux
    property = plastic_linesearch_needed
    variable = ls
  [../]
[]
[UserObjects]
  [./coh_irrelevant]
    type = TensorMechanicsHardeningCubic
    value_0 = 2E6
    value_residual = 1E6
    internal_limit = 0.01
  [../]
  [./tanphi]
    type = TensorMechanicsHardeningCubic
    value_0 = 0.5
    value_residual = 0.2
    internal_limit = 0.01
  [../]
  [./tanpsi]
    type = TensorMechanicsHardeningConstant
    value = 0.166666666667
  [../]
  [./t_strength]
    type = TensorMechanicsHardeningCubic
    value_0 = 0
    value_residual = 1E8
    internal_limit = 0.1
  [../]
  [./c_strength]
    type = TensorMechanicsHardeningCubic
    value_0 = 1E8
    value_residual = 0.0
    internal_limit = 0.01
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '6.4E9 6.4E9'  # young 16MPa, Poisson 0.25
  [../]
  [./strain]
    type = ComputeIncrementalSmallStrain
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    inelastic_models = stress
    tangent_operator = nonlinear
    perform_finite_strain_rotations = false
  [../]
  [./stress]
    type = CappedWeakPlaneStressUpdate
    cohesion = coh_irrelevant
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    tensile_strength = t_strength
    compressive_strength = c_strength
    max_NR_iterations = 1000
    tip_smoother = 0
    smoothing_tol = 0
    yield_function_tol = 1E-5
    perfect_guess = false
    min_step_size = 0.1
  [../]
[]
[Preconditioning]
  [./andy]
    type = SMP
    full = true
    #petsc_options = '-snes_converged_reason -snes_linesearch_monitor'
    petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -ksp_type -ksp_gmres_restart'
    petsc_options_value = ' asm      2              lu            gmres     200'
  [../]
[]
[Executioner]
  solve_type = 'NEWTON'
  petsc_options = '-snes_converged_reason'
  line_search = bt
  nl_abs_tol = 1E-2
  nl_rel_tol = 1e-15
  l_tol = 1E-10
  l_max_its = 100
  nl_max_its = 100
  end_time = 3.0
  dt = 0.1
  type = Transient
[]
[Outputs]
  file_base = pull_push_h
  exodus = true
  csv = true
[]
(modules/tensor_mechanics/test/tests/tensile/small_deform6_update_version.i)
# checking for small deformation
# A single element is incrementally stretched in the in the z direction
# This causes the return direction to be along the hypersurface sigma_II = sigma_III,
# and the resulting stresses are checked to lie on the expected yield surface
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    incremental = true
    strain = finite
    generate_output = 'max_principal_stress mid_principal_stress min_principal_stress stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '4*x*t'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = 'y*(t-0.5)'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = 'z*(t-0.5)'
  [../]
[]
[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = yield_fcn
  [../]
[]
[Postprocessors]
  [./s_I]
    type = PointValue
    point = '0 0 0'
    variable = max_principal_stress
  [../]
  [./s_II]
    type = PointValue
    point = '0 0 0'
    variable = mid_principal_stress
  [../]
  [./s_III]
    type = PointValue
    point = '0 0 0'
    variable = min_principal_stress
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 1
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '0 2.0'
  [../]
  [./tensile]
    type = TensileStressUpdate
    tensile_strength = ts
    smoothing_tol = 0.5
    yield_function_tol = 1.0E-12
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = tensile
    perform_finite_strain_rotations = false
  [../]
[]
[Executioner]
  end_time = 1
  dt = 0.1
  type = Transient
[]
[Outputs]
  file_base = small_deform6_update_version
  exodus = false
  [./csv]
    type = CSV
  [../]
[]
(modules/tensor_mechanics/test/tests/drucker_prager/small_deform2_lode_zero.i)
# apply repeated stretches in x, y and z directions, so that mean_stress = 0
# This maps out the yield surface in the octahedral plane for zero mean stress
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '-1.5E-6*x+2E-6*x*sin(t)'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '2E-6*y*sin(2*t)'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '-2E-6*z*(sin(t)+sin(2*t))'
  [../]
[]
[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]
[UserObjects]
  [./mc_coh]
    type = TensorMechanicsHardeningConstant
    value = 10
  [../]
  [./mc_phi]
    type = TensorMechanicsHardeningConstant
    value = 20
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = TensorMechanicsHardeningConstant
    value = 0
  [../]
  [./mc]
    type = TensorMechanicsPlasticDruckerPragerHyperbolic
    mc_cohesion = mc_coh
    mc_friction_angle = mc_phi
    mc_dilation_angle = mc_psi
    smoother = 4
    mc_interpolation_scheme = lode_zero
    yield_function_tolerance = 1E-5
    internal_constraint_tolerance = 1E-11
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./strain]
    type = ComputeIncrementalSmallStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-12
    plastic_models = mc
    debug_fspb = crash
  [../]
[]
[Executioner]
  end_time = 100
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform2_lode_zero
  exodus = false
  [./csv]
    type = CSV
    [../]
[]
(modules/tensor_mechanics/test/tests/tensile/planar7.i)
# A single unit element is stretched by (0.5, 0.4, 0.3)E-6m
# with Lame lambda = 0.6E6 and Lame mu (shear) = 1E6
# stress_xx = 1.72 Pa
# stress_yy = 1.52 Pa
# stress_zz = 1.32 Pa
# tensile_strength is set to 1.3Pa
#
# The return should be to the edge (the algorithm will first try the tip) with
# plastic_multiplier0 = 0, plastic_multiplier1 = 5E-8, plastic_multiplier2 = 1.5E-7
# internal = 2E-7
# stress_xx = stress_yy = 1.3
# stress_zz = 1.2
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    incremental = true
    strain = finite
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0.5E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0.4E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '0.3E-6*z'
  [../]
[]
[AuxVariables]
  [./f0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./f0_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f0
  [../]
  [./f1_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f1
  [../]
  [./f2_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f2
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./intnl_auxk]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = intnl
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = f0
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = f1
  [../]
  [./f2]
    type = PointValue
    point = '0 0 0'
    variable = f2
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
  [./intnl]
    type = PointValue
    point = '0 0 0'
    variable = intnl
  [../]
[]
[UserObjects]
  [./hard]
    type = TensorMechanicsHardeningConstant
    value = 1.3
  [../]
  [./tens]
    type = TensorMechanicsPlasticTensileMulti
    tensile_strength = hard
    shift = 1E-6
    yield_function_tolerance = 1E-6
    internal_constraint_tolerance = 1E-5
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0.6E6 1E6'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-12
    plastic_models = tens
    debug_fspb = none
    debug_jac_at_stress = '1 2 3 2 -4 -5 3 -5 10'
    debug_jac_at_pm = '0.1 0.2 0.3'
    debug_jac_at_intnl = 1E-6
    debug_stress_change = 1E-6
    debug_pm_change = '1E-6 1E-6 1E-6'
    debug_intnl_change = 1E-6
  [../]
[]
[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = planar7
  exodus = false
  [./csv]
    type = CSV
    [../]
[]
(modules/tensor_mechanics/test/tests/mohr_coulomb/small_deform2_small_strain.i)
# apply repeated stretches in x, y and z directions, so that mean_stress = 0
# This maps out the yield surface in the octahedral plane for zero mean stress
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '2E-6*x*sin(t)'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '2E-6*y*sin(2*t)'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '-2E-6*z*(sin(t)+sin(2*t))'
  [../]
[]
[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]
[UserObjects]
  [./mc_coh]
    type = TensorMechanicsHardeningConstant
    value = 10
  [../]
  [./mc_phi]
    type = TensorMechanicsHardeningConstant
    value = 20
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = TensorMechanicsHardeningConstant
    value = 0
  [../]
  [./mc]
    type = TensorMechanicsPlasticMohrCoulomb
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    mc_tip_smoother = 4
    mc_edge_smoother = 20
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-9
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./strain]
    type = ComputeIncrementalSmallStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = mc
    debug_fspb = crash
  [../]
[]
[Executioner]
  end_time = 100
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform2_small_strain
  exodus = false
  [./csv]
    type = CSV
    [../]
[]
(modules/tensor_mechanics/test/tests/mohr_coulomb/random.i)
# apply many random large deformations, checking that the algorithm returns correctly to
# the yield surface each time.
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1000
  ny = 125
  nz = 1
  xmin = 0
  xmax = 1000
  ymin = 0
  ymax = 125
  zmin = 0
  zmax = 1
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[ICs]
  [./x]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_x
  [../]
  [./y]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_y
  [../]
  [./z]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_z
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '0'
  [../]
[]
[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
[]
[Postprocessors]
  [./yield_fcn_at_zero]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
    outputs = 'console'
  [../]
  [./should_be_zero]
    type = FunctionValuePostprocessor
    function = should_be_zero_fcn
  [../]
  [./av_iter]
    type = ElementAverageValue
    variable = iter
    outputs = 'console'
  [../]
[]
[Functions]
  [./should_be_zero_fcn]
    type = ParsedFunction
    value = 'if(a<1E-3,0,a)'
    vars = 'a'
    vals = 'yield_fcn_at_zero'
  [../]
[]
[UserObjects]
  [./mc_coh]
    type = TensorMechanicsHardeningConstant
    value = 1E3
  [../]
  [./mc_phi]
    type = TensorMechanicsHardeningConstant
    value = 30
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = TensorMechanicsHardeningConstant
    value = 5
    convert_to_radians = true
  [../]
  [./mc]
    type = TensorMechanicsPlasticMohrCoulomb
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    mc_tip_smoother = 0.1E3
    mc_edge_smoother = 25
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-6
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0.7E7 1E7'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    max_NR_iterations = 1000
    ep_plastic_tolerance = 1E-6
    min_stepsize = 1E-3
    plastic_models = mc
    debug_fspb = crash
    deactivation_scheme = safe
  [../]
[]
[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = random
  exodus = false
  [./csv]
    type = CSV
    [../]
[]
(modules/tensor_mechanics/test/tests/weak_plane_tensile/small_deform1N.i)
# checking for small deformation
# A single element is stretched by 1E-6m in x,y and z directions.
# stress_zz = Youngs Modulus*Strain = 2E6*1E-6 = 2 Pa
# wpt_tensile_strength is set to 1Pa
# Then the final stress should return to the yeild surface and its value should be 1pa.
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[BCs]
  [./bottomx]
    type = DirichletBC
    variable = disp_x
    boundary = back
    value = 0.0
  [../]
  [./bottomy]
    type = DirichletBC
    variable = disp_y
    boundary = back
    value = 0.0
  [../]
  [./bottomz]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0.0
  [../]
  [./topx]
    type = DirichletBC
    variable = disp_x
    boundary = front
    value = 0E-6
  [../]
  [./topy]
    type = DirichletBC
    variable = disp_y
    boundary = front
    value = 0E-6
  [../]
  [./topz]
    type = DirichletBC
    variable = disp_z
    boundary = front
    value = 1E-6
  [../]
[]
[AuxVariables]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_zx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zx
    index_i = 2
    index_j = 0
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = yield_fcn
  [../]
  [./iter_auxk]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
[]
[Postprocessors]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
[]
[UserObjects]
  [./str]
    type = TensorMechanicsHardeningConstant
    value = 1
  [../]
  [./wpt]
    type = TensorMechanicsPlasticWeakPlaneTensileN
    tensile_strength = str
    yield_function_tolerance = 1E-6
    internal_constraint_tolerance = 1E-5
    normal_vector = '0 0 1'
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E6'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    plastic_models = wpt
    ep_plastic_tolerance = 1E-5
  [../]
[]
[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform1N
  exodus = true
  [./csv]
    type = CSV
    [../]
[]
(modules/tensor_mechanics/test/tests/capped_weak_plane/small_deform5.i)
# Plastic deformation, shear failure
# With Young = 10, poisson=0.25 (Lame lambda=4, mu=4)
# applying the following
# deformation to the zmax surface of a unit cube:
# disp_x = 8*t
# disp_y = 6*t
# disp_z = 5*t/6
# should yield trial stress:
# stress_zz = 10*t
# stress_zx = 32*t
# stress_zy = 24*t (so q_trial = 40*t)
# Use tan(friction_angle) = 0.5 and tan(dilation_angle) = 1/6, and cohesion=20,
# the system should return to p=0, q=20, ie stress_zz=0, stress_xz=16,
# stress_yz=12 on the first time step (t=1)
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz plastic_strain_xx plastic_strain_xy plastic_strain_xz plastic_strain_yy plastic_strain_yz plastic_strain_zz strain_xx strain_xy strain_xz strain_yy strain_yz strain_zz'
  [../]
[]
[BCs]
  [./bottomx]
    type = DirichletBC
    variable = disp_x
    boundary = back
    value = 0.0
  [../]
  [./bottomy]
    type = DirichletBC
    variable = disp_y
    boundary = back
    value = 0.0
  [../]
  [./bottomz]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0.0
  [../]
  [./topx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = front
    function = 8*t
  [../]
  [./topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = front
    function = 6*t
  [../]
  [./topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = 5*t/6
  [../]
[]
[AuxVariables]
  [./f_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_compressive]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./ls]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./f_shear]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f_shear
  [../]
  [./f_tensile]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f_tensile
  [../]
  [./f_compressive]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f_compressive
  [../]
  [./intnl_shear]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = intnl_shear
  [../]
  [./intnl_tensile]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 1
    variable = intnl_tensile
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./ls]
    type = MaterialRealAux
    property = plastic_linesearch_needed
    variable = ls
  [../]
[]
[Postprocessors]
  [./stress_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./stress_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./stress_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./stress_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./stress_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./stress_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./strainp_xx]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_xx
  [../]
  [./strainp_xy]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_xy
  [../]
  [./strainp_xz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_xz
  [../]
  [./strainp_yy]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_yy
  [../]
  [./strainp_yz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_yz
  [../]
  [./strainp_zz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_zz
  [../]
  [./straint_xx]
    type = PointValue
    point = '0 0 0'
    variable = strain_xx
  [../]
  [./straint_xy]
    type = PointValue
    point = '0 0 0'
    variable = strain_xy
  [../]
  [./straint_xz]
    type = PointValue
    point = '0 0 0'
    variable = strain_xz
  [../]
  [./straint_yy]
    type = PointValue
    point = '0 0 0'
    variable = strain_yy
  [../]
  [./straint_yz]
    type = PointValue
    point = '0 0 0'
    variable = strain_yz
  [../]
  [./straint_zz]
    type = PointValue
    point = '0 0 0'
    variable = strain_zz
  [../]
  [./f_shear]
    type = PointValue
    point = '0 0 0'
    variable = f_shear
  [../]
  [./f_tensile]
    type = PointValue
    point = '0 0 0'
    variable = f_tensile
  [../]
  [./f_compressive]
    type = PointValue
    point = '0 0 0'
    variable = f_compressive
  [../]
  [./intnl_shear]
    type = PointValue
    point = '0 0 0'
    variable = intnl_shear
  [../]
  [./intnl_tensile]
    type = PointValue
    point = '0 0 0'
    variable = intnl_tensile
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
  [./ls]
    type = PointValue
    point = '0 0 0'
    variable = ls
  [../]
[]
[UserObjects]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 20
  [../]
  [./tanphi]
    type = TensorMechanicsHardeningConstant
    value = 0.5
  [../]
  [./tanpsi]
    type = TensorMechanicsHardeningConstant
    value = 0.166666666667
  [../]
  [./t_strength]
    type = TensorMechanicsHardeningConstant
    value = 100
  [../]
  [./c_strength]
    type = TensorMechanicsHardeningConstant
    value = 100
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '4 4'
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    inelastic_models = stress
    perform_finite_strain_rotations = false
  [../]
  [./stress]
    type = CappedWeakPlaneStressUpdate
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    tensile_strength = t_strength
    compressive_strength = c_strength
    tip_smoother = 0
    smoothing_tol = 0
    yield_function_tol = 1E-5
  [../]
[]
[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform5
  csv = true
[]
(modules/tensor_mechanics/test/tests/jacobian/cto12.i)
# checking jacobian for nonlinear plasticity (single surface, smoothed MohrCoulomb)
# note: must have min_stepsize=1 otherwise the nonlinearities compound and make the jacobian more inaccurate
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  block = 0
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[UserObjects]
  [./mc_coh]
    type = TensorMechanicsHardeningConstant
    value = 10
  [../]
  [./mc_phi]
    type = TensorMechanicsHardeningConstant
    value = 60
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = TensorMechanicsHardeningConstant
    value = 5
    convert_to_radians = true
  [../]
  [./mc]
    type = TensorMechanicsPlasticMohrCoulomb
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    mc_tip_smoother = 4
    mc_edge_smoother = 25
    yield_function_tolerance = 1E-11
    internal_constraint_tolerance = 1E-9
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1'
  [../]
  [./strain]
    type = ComputeIncrementalSmallStrain
    displacements = 'disp_x disp_y disp_z'
    eigenstrain_names = ini_stress
  [../]
  [./ini_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = '3 0 0  0 3 0  0 0 1.5'
    eigenstrain_name = ini_stress
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    ep_plastic_tolerance = 1E-11
    plastic_models = mc
    tangent_operator = nonlinear
    min_stepsize = 1
  [../]
[]
[Preconditioning]
  [./andy]
    type = SMP
    full = true
    petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it -snes_type'
    petsc_options_value = 'bcgs bjacobi 1E-15 1E-10 10000 test'
  [../]
[]
[Executioner]
  type = Transient
  solve_type = Newton
[]
(modules/tensor_mechanics/test/tests/mohr_coulomb/planar_hard3.i)
# apply repeated stretches in x z directions, and smaller stretches along the y direction,
# so that sigma_I = sigma_II,
# which means that lode angle = 30deg.
# Both return to the edge (lode angle = 30deg, ie 010100) and tip are experienced.
#
# It is checked that the yield functions are less than their tolerance values
# It is checked that the cohesion hardens correctly
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '1E-6*x*t'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0.05E-6*y*t'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z*t'
  [../]
[]
[Functions]
  [./should_be_zero_fcn]
    type = ParsedFunction
    value = 'if((a<1E-5)&(b<1E-5)&(c<1E-5)&(d<1E-5)&(g<1E-5)&(h<1E-5),0,abs(a)+abs(b)+abs(c)+abs(d)+abs(g)+abs(h))'
    vars = 'a b c d g h'
    vals = 'f0 f1 f2 f3 f4 f5'
  [../]
  [./coh_analytic]
    type = ParsedFunction
    value = '20-10*exp(-1E5*intnl)'
    vars = intnl
    vals = internal
  [../]
  [./coh_from_yieldfcns]
    type = ParsedFunction
    value = '(f0+f1-(sxx+syy)*sin(phi))/(-2)/cos(phi)'
    vars = 'f0 f1 sxx syy phi'
    vals = 'f0 f1 s_xx s_yy 0.8726646'
  [../]
  [./should_be_zero_coh]
    type = ParsedFunction
    value = 'if(abs(a-b)<1E-6,0,1E6*abs(a-b))'
    vars = 'a b'
    vals = 'Coh_analytic Coh_moose'
  [../]
[]
[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mc_int]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn3]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn4]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn5]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./mc_int_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_internal_parameter
    variable = mc_int
  [../]
  [./yield_fcn0]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn0
  [../]
  [./yield_fcn1]
    type = MaterialStdVectorAux
    index = 1
    property = plastic_yield_function
    variable = yield_fcn1
  [../]
  [./yield_fcn2]
    type = MaterialStdVectorAux
    index = 2
    property = plastic_yield_function
    variable = yield_fcn2
  [../]
  [./yield_fcn3]
    type = MaterialStdVectorAux
    index = 3
    property = plastic_yield_function
    variable = yield_fcn3
  [../]
  [./yield_fcn4]
    type = MaterialStdVectorAux
    index = 4
    property = plastic_yield_function
    variable = yield_fcn4
  [../]
  [./yield_fcn5]
    type = MaterialStdVectorAux
    index = 5
    property = plastic_yield_function
    variable = yield_fcn5
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./internal]
    type = PointValue
    point = '0 0 0'
    variable = mc_int
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn0
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn1
  [../]
  [./f2]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn2
  [../]
  [./f3]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn3
  [../]
  [./f4]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn4
  [../]
  [./f5]
   type = PointValue
    point = '0 0 0'
    variable = yield_fcn5
  [../]
  [./yfcns_should_be_zero]
    type = FunctionValuePostprocessor
    function = should_be_zero_fcn
  [../]
  [./Coh_analytic]
    type = FunctionValuePostprocessor
    function = coh_analytic
  [../]
  [./Coh_moose]
    type = FunctionValuePostprocessor
    function = coh_from_yieldfcns
  [../]
  [./cohesion_difference_should_be_zero]
    type = FunctionValuePostprocessor
    function = should_be_zero_coh
  [../]
[]
[UserObjects]
  [./mc_coh]
    type = TensorMechanicsHardeningExponential
    value_0 = 10
    value_residual = 20
    rate = 1E5
  [../]
  [./mc_phi]
    type = TensorMechanicsHardeningConstant
    value = 0.8726646
  [../]
  [./mc_psi]
    type = TensorMechanicsHardeningConstant
    value = 1 #0.8726646 # 50deg
  [../]
  [./mc]
    type = TensorMechanicsPlasticMohrCoulombMulti
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    yield_function_tolerance = 1E-5
    use_custom_returnMap = true
    internal_constraint_tolerance = 1E-9
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-12
    plastic_models = mc
  [../]
[]
[Executioner]
  end_time = 5
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = planar_hard3
  exodus = false
  [./csv]
    type = CSV
    hide = 'f0 f1 f2 f3 f4 f5 s_xy s_xz s_yz Coh_analytic Coh_moose'
    execute_on = 'timestep_end'
  [../]
[]
(modules/porous_flow/examples/coal_mining/fine_with_fluid.i)
#################################################################
#
#  NOTE:
#  The mesh for this model is too large for the MOOSE repository
#  so is kept in the the large_media submodule
#
#################################################################
#
# Strata deformation and fluid flow aaround a coal mine - 3D model
#
# A "half model" is used.  The mine is 400m deep and
# just the roof is studied (-400<=z<=0).  The mining panel
# sits between 0<=x<=150, and 0<=y<=1000, so this simulates
# a coal panel that is 300m wide and 1000m long.  The outer boundaries
# are 1km from the excavation boundaries.
#
# The excavation takes 0.5 years.
#
# The boundary conditions for this simulation are:
#  - disp_x = 0 at x=0 and x=1150
#  - disp_y = 0 at y=-1000 and y=1000
#  - disp_z = 0 at z=-400, but there is a time-dependent
#               Young modulus that simulates excavation
#  - wc_x = 0 at y=-1000 and y=1000
#  - wc_y = 0 at x=0 and x=1150
#  - no flow at x=0, z=-400 and z=0
#  - fixed porepressure at y=-1000, y=1000 and x=1150
# That is, rollers on the sides, free at top,
# and prescribed at bottom in the unexcavated portion.
#
# A single-phase unsaturated fluid is used.
#
# The small strain formulation is used.
#
# All stresses are measured in MPa, and time units are measured in years.
#
# The initial porepressure is hydrostatic with P=0 at z=0, so
# Porepressure ~ - 0.01*z MPa, where the fluid has density 1E3 kg/m^3 and
# gravity = = 10 m.s^-2 = 1E-5 MPa m^2/kg.
# To be more accurate, i use
# Porepressure = -bulk * log(1 + g*rho0*z/bulk)
# where bulk=2E3 MPa and rho0=1Ee kg/m^3.
# The initial stress is consistent with the weight force from undrained
# density 2500 kg/m^3, and fluid porepressure, and a Biot coefficient of 0.7, ie,
# stress_zz^effective = 0.025*z + 0.7 * initial_porepressure
# The maximum and minimum principal horizontal effective stresses are
# assumed to be equal to 0.8*stress_zz.
#
# Material properties:
# Young's modulus = 8 GPa
# Poisson's ratio = 0.25
# Cosserat layer thickness = 1 m
# Cosserat-joint normal stiffness = large
# Cosserat-joint shear stiffness = 1 GPa
# MC cohesion = 2 MPa
# MC friction angle = 35 deg
# MC dilation angle = 8 deg
# MC tensile strength = 1 MPa
# MC compressive strength = 100 MPa
# WeakPlane cohesion = 0.1 MPa
# WeakPlane friction angle = 30 deg
# WeakPlane dilation angle = 10 deg
# WeakPlane tensile strength = 0.1 MPa
# WeakPlane compressive strength = 100 MPa softening to 1 MPa at strain = 1
# Fluid density at zero porepressure = 1E3 kg/m^3
# Fluid bulk modulus = 2E3 MPa
# Fluid viscosity = 1.1E-3 Pa.s = 1.1E-9 MPa.s = 3.5E-17 MPa.year
#
[GlobalParams]
  perform_finite_strain_rotations = false
  displacements = 'disp_x disp_y disp_z'
  Cosserat_rotations = 'wc_x wc_y wc_z'
  PorousFlowDictator = dictator
  biot_coefficient = 0.7
[]
[Mesh]
  [file]
    type = FileMeshGenerator
    file = fine.e
  []
  [xmin]
    type = SideSetsAroundSubdomainGenerator
     block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30'
    new_boundary = xmin
    normal = '-1 0 0'
    input = file
  []
  [xmax]
    type = SideSetsAroundSubdomainGenerator
     block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30'
    new_boundary = xmax
    normal = '1 0 0'
    input = xmin
  []
  [ymin]
    type = SideSetsAroundSubdomainGenerator
     block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30'
    new_boundary = ymin
    normal = '0 -1 0'
    input = xmax
  []
  [ymax]
    type = SideSetsAroundSubdomainGenerator
     block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30'
    new_boundary = ymax
    normal = '0 1 0'
    input = ymin
  []
  [zmax]
    type = SideSetsAroundSubdomainGenerator
    block = 30
    new_boundary = zmax
    normal = '0 0 1'
    input = ymax
  []
  [zmin]
    type = SideSetsAroundSubdomainGenerator
    block = 2
    new_boundary = zmin
    normal = '0 0 -1'
    input = zmax
  []
  [excav]
    type = SubdomainBoundingBoxGenerator
    input = zmin
    block_id = 1
    bottom_left = '0 0 -400'
    top_right = '150 1000 -397'
  []
  [roof]
    type = SideSetsBetweenSubdomainsGenerator
    primary_block = 3
    paired_block = 1
    input = excav
    new_boundary = roof
  []
[]
[Variables]
  [disp_x]
  []
  [disp_y]
  []
  [disp_z]
  []
  [wc_x]
  []
  [wc_y]
  []
  [porepressure]
    scaling = 1E-5
  []
[]
[ICs]
  [porepressure]
    type = FunctionIC
    variable = porepressure
    function = ini_pp
  []
[]
[Kernels]
  [cx_elastic]
    type = CosseratStressDivergenceTensors
    use_displaced_mesh = false
    variable = disp_x
    component = 0
  []
  [cy_elastic]
    type = CosseratStressDivergenceTensors
    use_displaced_mesh = false
    variable = disp_y
    component = 1
  []
  [cz_elastic]
    type = CosseratStressDivergenceTensors
    use_displaced_mesh = false
    variable = disp_z
    component = 2
  []
  [x_couple]
    type = StressDivergenceTensors
    use_displaced_mesh = false
    variable = wc_x
    displacements = 'wc_x wc_y wc_z'
    component = 0
    base_name = couple
  []
  [y_couple]
    type = StressDivergenceTensors
    use_displaced_mesh = false
    variable = wc_y
    displacements = 'wc_x wc_y wc_z'
    component = 1
    base_name = couple
  []
  [x_moment]
    type = MomentBalancing
    use_displaced_mesh = false
    variable = wc_x
    component = 0
  []
  [y_moment]
    type = MomentBalancing
    use_displaced_mesh = false
    variable = wc_y
    component = 1
  []
  [gravity]
    type = Gravity
    use_displaced_mesh = false
    variable = disp_z
    value = -10E-6 # remember this is in MPa
  []
  [poro_x]
    type = PorousFlowEffectiveStressCoupling
    use_displaced_mesh = false
    variable = disp_x
    component = 0
  []
  [poro_y]
    type = PorousFlowEffectiveStressCoupling
    use_displaced_mesh = false
    variable = disp_y
    component = 1
  []
  [poro_z]
    type = PorousFlowEffectiveStressCoupling
    use_displaced_mesh = false
    component = 2
    variable = disp_z
  []
  [poro_vol_exp]
    type = PorousFlowMassVolumetricExpansion
    use_displaced_mesh = false
     block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30'
    variable = porepressure
    fluid_component = 0
  []
  [mass0]
    type = PorousFlowMassTimeDerivative
    use_displaced_mesh = false
    fluid_component = 0
    variable = porepressure
  []
  [flux]
    type = PorousFlowAdvectiveFlux
    use_displaced_mesh = false
    variable = porepressure
    gravity = '0 0 -10E-6'
    fluid_component = 0
  []
[]
[AuxVariables]
  [saturation]
    order = CONSTANT
    family = MONOMIAL
  []
  [darcy_x]
    order = CONSTANT
    family = MONOMIAL
  []
  [darcy_y]
    order = CONSTANT
    family = MONOMIAL
  []
  [darcy_z]
    order = CONSTANT
    family = MONOMIAL
  []
  [porosity]
    order = CONSTANT
    family = MONOMIAL
  []
  [wc_z]
  []
  [stress_xx]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_xy]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_xz]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_yx]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_yy]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_yz]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_zx]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_zy]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [total_strain_xx]
    order = CONSTANT
    family = MONOMIAL
  []
  [total_strain_xy]
    order = CONSTANT
    family = MONOMIAL
  []
  [total_strain_xz]
    order = CONSTANT
    family = MONOMIAL
  []
  [total_strain_yx]
    order = CONSTANT
    family = MONOMIAL
  []
  [total_strain_yy]
    order = CONSTANT
    family = MONOMIAL
  []
  [total_strain_yz]
    order = CONSTANT
    family = MONOMIAL
  []
  [total_strain_zx]
    order = CONSTANT
    family = MONOMIAL
  []
  [total_strain_zy]
    order = CONSTANT
    family = MONOMIAL
  []
  [total_strain_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [perm_xx]
    order = CONSTANT
    family = MONOMIAL
  []
  [perm_yy]
    order = CONSTANT
    family = MONOMIAL
  []
  [perm_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [mc_shear]
    order = CONSTANT
    family = MONOMIAL
  []
  [mc_tensile]
    order = CONSTANT
    family = MONOMIAL
  []
  [wp_shear]
    order = CONSTANT
    family = MONOMIAL
  []
  [wp_tensile]
    order = CONSTANT
    family = MONOMIAL
  []
  [wp_shear_f]
    order = CONSTANT
    family = MONOMIAL
  []
  [wp_tensile_f]
    order = CONSTANT
    family = MONOMIAL
  []
  [mc_shear_f]
    order = CONSTANT
    family = MONOMIAL
  []
  [mc_tensile_f]
    order = CONSTANT
    family = MONOMIAL
  []
[]
[AuxKernels]
  [saturation_water]
    type = PorousFlowPropertyAux
    variable = saturation
    property = saturation
    phase = 0
    execute_on = timestep_end
  []
  [darcy_x]
    type = PorousFlowDarcyVelocityComponent
    variable = darcy_x
    gravity = '0 0 -10E-6'
    component = x
  []
  [darcy_y]
    type = PorousFlowDarcyVelocityComponent
    variable = darcy_y
    gravity = '0 0 -10E-6'
    component = y
  []
  [darcy_z]
    type = PorousFlowDarcyVelocityComponent
    variable = darcy_z
    gravity = '0 0 -10E-6'
    component = z
  []
  [porosity]
    type = PorousFlowPropertyAux
    property = porosity
    variable = porosity
    execute_on = timestep_end
  []
  [stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
    execute_on = timestep_end
  []
  [stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
    execute_on = timestep_end
  []
  [stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
    execute_on = timestep_end
  []
  [stress_yx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yx
    index_i = 1
    index_j = 0
    execute_on = timestep_end
  []
  [stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
    execute_on = timestep_end
  []
  [stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
    execute_on = timestep_end
  []
  [stress_zx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zx
    index_i = 2
    index_j = 0
    execute_on = timestep_end
  []
  [stress_zy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zy
    index_i = 2
    index_j = 1
    execute_on = timestep_end
  []
  [stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  []
  [total_strain_xx]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = total_strain_xx
    index_i = 0
    index_j = 0
    execute_on = timestep_end
  []
  [total_strain_xy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = total_strain_xy
    index_i = 0
    index_j = 1
    execute_on = timestep_end
  []
  [total_strain_xz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = total_strain_xz
    index_i = 0
    index_j = 2
    execute_on = timestep_end
  []
  [total_strain_yx]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = total_strain_yx
    index_i = 1
    index_j = 0
    execute_on = timestep_end
  []
  [total_strain_yy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = total_strain_yy
    index_i = 1
    index_j = 1
    execute_on = timestep_end
  []
  [total_strain_yz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = total_strain_yz
    index_i = 1
    index_j = 2
    execute_on = timestep_end
  []
  [total_strain_zx]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = total_strain_zx
    index_i = 2
    index_j = 0
    execute_on = timestep_end
  []
  [total_strain_zy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = total_strain_zy
    index_i = 2
    index_j = 1
    execute_on = timestep_end
  []
  [total_strain_zz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = total_strain_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  []
  [perm_xx]
    type = PorousFlowPropertyAux
    property = permeability
    variable = perm_xx
    row = 0
    column = 0
    execute_on = timestep_end
  []
  [perm_yy]
    type = PorousFlowPropertyAux
    property = permeability
    variable = perm_yy
    row = 1
    column = 1
    execute_on = timestep_end
  []
  [perm_zz]
    type = PorousFlowPropertyAux
    property = permeability
    variable = perm_zz
    row = 2
    column = 2
    execute_on = timestep_end
  []
  [mc_shear]
    type = MaterialStdVectorAux
    index = 0
    property = mc_plastic_internal_parameter
    variable = mc_shear
    execute_on = timestep_end
  []
  [mc_tensile]
    type = MaterialStdVectorAux
    index = 1
    property = mc_plastic_internal_parameter
    variable = mc_tensile
    execute_on = timestep_end
  []
  [wp_shear]
    type = MaterialStdVectorAux
    index = 0
    property = wp_plastic_internal_parameter
    variable = wp_shear
    execute_on = timestep_end
  []
  [wp_tensile]
    type = MaterialStdVectorAux
    index = 1
    property = wp_plastic_internal_parameter
    variable = wp_tensile
    execute_on = timestep_end
  []
  [mc_shear_f]
    type = MaterialStdVectorAux
    index = 6
    property = mc_plastic_yield_function
    variable = mc_shear_f
    execute_on = timestep_end
  []
  [mc_tensile_f]
    type = MaterialStdVectorAux
    index = 0
    property = mc_plastic_yield_function
    variable = mc_tensile_f
    execute_on = timestep_end
  []
  [wp_shear_f]
    type = MaterialStdVectorAux
    index = 0
    property = wp_plastic_yield_function
    variable = wp_shear_f
    execute_on = timestep_end
  []
  [wp_tensile_f]
    type = MaterialStdVectorAux
    index = 1
    property = wp_plastic_yield_function
    variable = wp_tensile_f
    execute_on = timestep_end
  []
[]
[BCs]
  [no_x]
    type = DirichletBC
    variable = disp_x
    boundary = 'xmin xmax'
    value = 0.0
  []
  [no_y]
    type = DirichletBC
    variable = disp_y
    boundary = 'ymin ymax'
    value = 0.0
  []
  [no_z]
    type = DirichletBC
    variable = disp_z
    boundary = zmin
    value = 0.0
  []
  [no_wc_x]
    type = DirichletBC
    variable = wc_x
    boundary = 'ymin ymax'
    value = 0.0
  []
  [no_wc_y]
    type = DirichletBC
    variable = wc_y
    boundary = 'xmin xmax'
    value = 0.0
  []
  [fix_porepressure]
    type = FunctionDirichletBC
    variable = porepressure
    boundary = 'ymin ymax xmax'
    function = ini_pp
  []
  [roof_porepressure]
    type = PorousFlowPiecewiseLinearSink
    variable = porepressure
    pt_vals = '-1E3 1E3'
    multipliers = '-1 1'
    fluid_phase = 0
    flux_function = roof_conductance
    boundary = roof
  []
  [roof]
    type = StickyBC
    variable = disp_z
    min_value = -3.0
    boundary = roof
  []
[]
[Functions]
  [ini_pp]
    type = ParsedFunction
    vars = 'bulk p0 g    rho0'
    vals = '2E3 0.0 1E-5 1E3'
    value = '-bulk*log(exp(-p0/bulk)+g*rho0*z/bulk)'
  []
  [ini_xx]
    type = ParsedFunction
    vars = 'bulk p0 g    rho0 biot'
    vals = '2E3 0.0 1E-5 1E3  0.7'
    value = '0.8*(2500*10E-6*z+biot*(-bulk*log(exp(-p0/bulk)+g*rho0*z/bulk)))'
  []
  [ini_zz]
    type = ParsedFunction
    vars = 'bulk p0 g    rho0 biot'
    vals = '2E3 0.0 1E-5 1E3  0.7'
    value = '2500*10E-6*z+biot*(-bulk*log(exp(-p0/bulk)+g*rho0*z/bulk))'
  []
  [excav_sideways]
    type = ParsedFunction
    vars = 'end_t ymin ymax  minval maxval slope'
    vals = '0.5   0    1000.0 1E-9 1 10'
    # excavation face at ymin+(ymax-ymin)*min(t/end_t,1)
    # slope is the distance over which the modulus reduces from maxval to minval
    value = 'if(y<ymin+(ymax-ymin)*min(t/end_t,1),minval,if(y<ymin+(ymax-ymin)*min(t/end_t,1)+slope,minval+(maxval-minval)*(y-(ymin+(ymax-ymin)*min(t/end_t,1)))/slope,maxval))'
  []
  [density_sideways]
    type = ParsedFunction
    vars = 'end_t ymin ymax  minval maxval'
    vals = '0.5   0    1000.0 0 2500'
    value = 'if(y<ymin+(ymax-ymin)*min(t/end_t,1),minval,maxval)'
  []
  [roof_conductance]
    type = ParsedFunction
    vars = 'end_t ymin ymax   maxval minval'
    vals = '0.5   0    1000.0 1E7      0'
    value = 'if(y<ymin+(ymax-ymin)*min(t/end_t,1),maxval,minval)'
  []
[]
[UserObjects]
  [dictator]
    type = PorousFlowDictator
    porous_flow_vars = 'porepressure disp_x disp_y disp_z'
    number_fluid_phases = 1
    number_fluid_components = 1
  []
  [pc]
    type = PorousFlowCapillaryPressureVG
    m = 0.5
    alpha = 1 # MPa^-1
  []
  [mc_coh_strong_harden]
    type = TensorMechanicsHardeningExponential
    value_0 = 1.99 # MPa
    value_residual = 2.01 # MPa
    rate = 1.0
  []
  [mc_fric]
    type = TensorMechanicsHardeningConstant
    value = 0.61 # 35deg
  []
  [mc_dil]
    type = TensorMechanicsHardeningConstant
    value = 0.15 # 8deg
  []
  [mc_tensile_str_strong_harden]
    type = TensorMechanicsHardeningExponential
    value_0 = 1.0 # MPa
    value_residual = 1.0 # MPa
    rate = 1.0
  []
  [mc_compressive_str]
    type = TensorMechanicsHardeningCubic
    value_0 = 100 # Large!
    value_residual = 100
    internal_limit = 0.1
  []
  [wp_coh_harden]
    type = TensorMechanicsHardeningCubic
    value_0 = 0.05
    value_residual = 0.05
    internal_limit = 10
  []
  [wp_tan_fric]
    type = TensorMechanicsHardeningConstant
    value = 0.26 # 15deg
  []
  [wp_tan_dil]
    type = TensorMechanicsHardeningConstant
    value = 0.18 # 10deg
  []
  [wp_tensile_str_harden]
    type = TensorMechanicsHardeningCubic
    value_0 = 0.05
    value_residual = 0.05
    internal_limit = 10
  []
  [wp_compressive_str_soften]
    type = TensorMechanicsHardeningCubic
    value_0 = 100
    value_residual = 1
    internal_limit = 1.0
  []
[]
[Modules]
  [FluidProperties]
    [simple_fluid]
      type = SimpleFluidProperties
      bulk_modulus = 2E3
      density0 = 1000
      thermal_expansion = 0
      viscosity = 3.5E-17
    []
  []
[]
[Materials]
  [temperature]
    type = PorousFlowTemperature
  []
  [eff_fluid_pressure]
    type = PorousFlowEffectiveFluidPressure
  []
  [vol_strain]
    type = PorousFlowVolumetricStrain
  []
  [ppss]
    type = PorousFlow1PhaseP
    porepressure = porepressure
    capillary_pressure = pc
  []
  [massfrac]
    type = PorousFlowMassFraction
  []
  [simple_fluid]
    type = PorousFlowSingleComponentFluid
    fp = simple_fluid
    phase = 0
  []
  [porosity_for_aux]
    type = PorousFlowPorosity
    at_nodes = false
    fluid = true
    mechanical = true
    ensure_positive = true
    porosity_zero = 0.02
    solid_bulk = 5.3333E3
  []
  [porosity_bulk]
    type = PorousFlowPorosity
    fluid = true
    mechanical = true
    block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30'
    ensure_positive = true
    porosity_zero = 0.02
    solid_bulk = 5.3333E3
  []
  [porosity_excav]
    type = PorousFlowPorosityConst
    block = 1
    porosity = 1.0
  []
  [permeability_bulk]
    type = PorousFlowPermeabilityKozenyCarman
    block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30'
    poroperm_function = kozeny_carman_phi0
    k0 = 1E-15
    phi0 = 0.02
    n = 2
    m = 2
  []
  [permeability_excav]
    type = PorousFlowPermeabilityConst
    block = 1
    permeability = '0 0 0   0 0 0   0 0 0'
  []
  [relperm]
    type = PorousFlowRelativePermeabilityCorey
    n = 4
    s_res = 0.4
    sum_s_res = 0.4
    phase = 0
  []
  [elasticity_tensor_0]
    type = ComputeLayeredCosseratElasticityTensor
     block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30'
    young = 8E3 # MPa
    poisson = 0.25
    layer_thickness = 1.0
    joint_normal_stiffness = 1E9 # huge
    joint_shear_stiffness = 1E3 # MPa
  []
  [elasticity_tensor_1]
    type = ComputeLayeredCosseratElasticityTensor
    block = 1
    young = 8E3 # MPa
    poisson = 0.25
    layer_thickness = 1.0
    joint_normal_stiffness = 1E9 # huge
    joint_shear_stiffness = 1E3 # MPa
    elasticity_tensor_prefactor = excav_sideways
  []
  [strain]
    type = ComputeCosseratIncrementalSmallStrain
    eigenstrain_names = ini_stress
  []
  [ini_stress]
    type = ComputeEigenstrainFromInitialStress
    eigenstrain_name = ini_stress
    initial_stress = 'ini_xx 0 0  0 ini_xx 0  0 0 ini_zz'
  []
  [stress_0]
    type = ComputeMultipleInelasticCosseratStress
     block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30'
    inelastic_models = 'mc wp'
    cycle_models = true
    relative_tolerance = 2.0
    absolute_tolerance = 1E6
    max_iterations = 1
    tangent_operator = nonlinear
    perform_finite_strain_rotations = false
  []
  [stress_1]
    type = ComputeMultipleInelasticCosseratStress
    block = 1
    inelastic_models = ''
    relative_tolerance = 2.0
    absolute_tolerance = 1E6
    max_iterations = 1
    tangent_operator = nonlinear
    perform_finite_strain_rotations = false
  []
  [mc]
    type = CappedMohrCoulombCosseratStressUpdate
    warn_about_precision_loss = false
    host_youngs_modulus = 8E3
    host_poissons_ratio = 0.25
    base_name = mc
    tensile_strength = mc_tensile_str_strong_harden
    compressive_strength = mc_compressive_str
    cohesion = mc_coh_strong_harden
    friction_angle = mc_fric
    dilation_angle = mc_dil
    max_NR_iterations = 100000
    smoothing_tol = 0.1 # MPa  # Must be linked to cohesion
    yield_function_tol = 1E-9 # MPa.  this is essentially the lowest possible without lots of precision loss
    perfect_guess = true
    min_step_size = 1.0
  []
  [wp]
    type = CappedWeakPlaneCosseratStressUpdate
    warn_about_precision_loss = false
    base_name = wp
    cohesion = wp_coh_harden
    tan_friction_angle = wp_tan_fric
    tan_dilation_angle = wp_tan_dil
    tensile_strength = wp_tensile_str_harden
    compressive_strength = wp_compressive_str_soften
    max_NR_iterations = 10000
    tip_smoother = 0.05
    smoothing_tol = 0.05 # MPa  # Note, this must be tied to cohesion, otherwise get no possible return at cone apex
    yield_function_tol = 1E-11 # MPa.  this is essentially the lowest possible without lots of precision loss
    perfect_guess = true
    min_step_size = 1.0E-3
  []
  [undrained_density_0]
    type = GenericConstantMaterial
     block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30'
    prop_names = density
    prop_values = 2500
  []
  [undrained_density_1]
    type = GenericFunctionMaterial
    block = 1
    prop_names = density
    prop_values = density_sideways
  []
[]
[Preconditioning]
  [SMP]
    type = SMP
    full = true
  []
[]
[Postprocessors]
  [min_roof_disp]
    type = NodalExtremeValue
    boundary = roof
    value_type = min
    variable = disp_z
  []
  [min_roof_pp]
    type = NodalExtremeValue
    boundary = roof
    value_type = min
    variable = porepressure
  []
  [min_surface_disp]
    type = NodalExtremeValue
    boundary = zmax
    value_type = min
    variable = disp_z
  []
  [min_surface_pp]
    type = NodalExtremeValue
    boundary = zmax
    value_type = min
    variable = porepressure
  []
  [max_perm_zz]
    type = ElementExtremeValue
     block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30'
    variable = perm_zz
  []
[]
[Executioner]
  type = Transient
  solve_type = 'NEWTON'
  petsc_options = '-snes_converged_reason'
  # best overall
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
  petsc_options_value = ' lu       mumps'
  # best if you don't have mumps:
  #petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -ksp_type -ksp_gmres_restart'
  #petsc_options_value = ' asm      2              lu            gmres     200'
  # very basic:
  #petsc_options_iname = '-pc_type -ksp_type -ksp_gmres_restart'
  #petsc_options_value = ' bjacobi  gmres     200'
  line_search = bt
  nl_abs_tol = 1e-3
  nl_rel_tol = 1e-5
  l_max_its = 200
  nl_max_its = 30
  start_time = 0.0
  dt = 0.0025
  end_time = 0.5
[]
[Outputs]
  interval = 1
  print_linear_residuals = true
  exodus = true
  csv = true
  console = true
[]
(modules/tensor_mechanics/test/tests/jacobian/cdpc02.i)
#Cosserat capped weak plane and capped drucker prager
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  Cosserat_rotations = 'wc_x wc_y wc_z'
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
  [./wc_x]
  [../]
  [./wc_y]
  [../]
[]
[Kernels]
  [./cx_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_x
    component = 0
  [../]
  [./cy_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_y
    component = 1
  [../]
  [./cz_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_z
    component = 2
  [../]
  [./x_couple]
    type = StressDivergenceTensors
    variable = wc_x
    displacements = 'wc_x wc_y wc_z'
    component = 0
    base_name = couple
  [../]
  [./y_couple]
    type = StressDivergenceTensors
    variable = wc_y
    displacements = 'wc_x wc_y wc_z'
    component = 1
    base_name = couple
  [../]
  [./x_moment]
    type = MomentBalancing
    variable = wc_x
    component = 0
  [../]
  [./y_moment]
    type = MomentBalancing
    variable = wc_y
    component = 1
  [../]
[]
[AuxVariables]
  [./wc_z]
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 10
  [../]
  [./cs]
    type = TensorMechanicsHardeningConstant
    value = 10
  [../]
  [./mc_coh]
    type = TensorMechanicsHardeningConstant
    value = 4
  [../]
  [./phi]
    type = TensorMechanicsHardeningConstant
    value = 0.8
  [../]
  [./psi]
    type = TensorMechanicsHardeningConstant
    value = 0.4
  [../]
  [./dp]
    type = TensorMechanicsPlasticDruckerPragerHyperbolic
    mc_cohesion = mc_coh
    mc_friction_angle = phi
    mc_dilation_angle = psi
    yield_function_tolerance = 1E-11     # irrelevant here
    internal_constraint_tolerance = 1E-9 # irrelevant here
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeLayeredCosseratElasticityTensor
    young = 10.0
    poisson = 0.25
    layer_thickness = 10.0
    joint_normal_stiffness = 2.5
    joint_shear_stiffness = 2.0
  [../]
  [./strain]
    type = ComputeCosseratIncrementalSmallStrain
    eigenstrain_names = ini_stress
  [../]
  [./ini_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = '5 1 2  1 4 3  2.1 3.1 1'
    eigenstrain_name = ini_stress
  [../]
  [./admissible]
    type = ComputeMultipleInelasticCosseratStress
    inelastic_models = 'dp'
    relative_tolerance = 2.0
    absolute_tolerance = 1E6
    max_iterations = 1
  [../]
  [./dp]
    type = CappedDruckerPragerCosseratStressUpdate
    host_youngs_modulus = 10.0
    host_poissons_ratio = 0.25
    base_name = dp
    DP_model = dp
    tensile_strength = ts
    compressive_strength = cs
    yield_function_tol = 1E-11
    tip_smoother = 1
    smoothing_tol = 1
  [../]
[]
[Preconditioning]
  [./andy]
    type = SMP
    full = true
    petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it -snes_type'
    petsc_options_value = 'bcgs bjacobi 1E-15 1E-10 10000 test'
  [../]
[]
[Executioner]
  solve_type = 'NEWTON'
  end_time = 1
  dt = 1
  type = Transient
[]
(modules/tensor_mechanics/test/tests/capped_mohr_coulomb/random2.i)
# Using CappedMohrCoulomb with compressive failure only
# Plasticity models:
# Compressive strength = 1 MPa
#
# Lame lambda = 1GPa.  Lame mu = 1.3GPa
#
# A line of elements is perturbed randomly, and return to the yield surface at each quadpoint is checked
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1234
  nz = 1
  xmin = 0
  xmax = 1
  ymin = 0
  ymax = 1234
  zmin = 0
  zmax = 1
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]
[ICs]
  [./x]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_x
  [../]
  [./y]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_y
  [../]
  [./z]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_z
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '0'
  [../]
[]
[AuxVariables]
  [./f0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./f0]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f0
  [../]
  [./f1]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f1
  [../]
  [./f2]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f2
  [../]
  [./int0]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 0
    variable = int0
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
[]
[Postprocessors]
  [./tot_iters]
    type = ElementIntegralMaterialProperty
    mat_prop = plastic_NR_iterations
    outputs = console
  [../]
  [./raw_f0]
    type = ElementExtremeValue
    variable = f0
    outputs = console
  [../]
  [./raw_f1]
    type = ElementExtremeValue
    variable = f1
    outputs = console
  [../]
  [./raw_f2]
    type = ElementExtremeValue
    variable = f2
    outputs = console
  [../]
  [./iter]
    type = ElementExtremeValue
    variable = iter
    outputs = console
  [../]
  [./f0]
    type = FunctionValuePostprocessor
    function = should_be_zero0_fcn
  [../]
  [./f1]
    type = FunctionValuePostprocessor
    function = should_be_zero1_fcn
  [../]
  [./f2]
    type = FunctionValuePostprocessor
    function = should_be_zero2_fcn
  [../]
[]
[Functions]
  [./should_be_zero0_fcn]
    type = ParsedFunction
    value = 'if(a<1E-1,0,a)'
    vars = 'a'
    vals = 'raw_f0'
  [../]
  [./should_be_zero1_fcn]
    type = ParsedFunction
    value = 'if(a<1E-1,0,a)'
    vars = 'a'
    vals = 'raw_f1'
  [../]
  [./should_be_zero2_fcn]
    type = ParsedFunction
    value = 'if(a<1E-1,0,a)'
    vars = 'a'
    vals = 'raw_f2'
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 1E12
  [../]
  [./cs]
    type = TensorMechanicsHardeningCubic
    value_0 = 1E6
    value_residual = 0
    internal_limit = 1
  [../]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 1E12
  [../]
  [./ang]
    type = TensorMechanicsHardeningConstant
    value = 0.5
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '1E9 1.3E9'
  [../]
  [./tensile]
    type = CappedMohrCoulombStressUpdate
    tensile_strength = ts
    compressive_strength = cs
    cohesion = coh
    friction_angle = ang
    dilation_angle = ang
    smoothing_tol = 1E5
    max_NR_iterations = 100
    yield_function_tol = 1.0E-1
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = tensile
    perform_finite_strain_rotations = false
  [../]
[]
[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = random2
  csv = true
[]
(modules/tensor_mechanics/test/tests/jacobian/cto02.i)
# checking jacobian for linear plasticity (weak_plane_tensile)
# with hardening
[Mesh]
  type = GeneratedMesh
  dim = 3
[]
[GlobalParams]
  block = 0
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[ICs]
  [./disp_x]
    type = RandomIC
    variable = disp_x
    min = -0.1
    max = 0.1
  [../]
  [./disp_y]
    type = RandomIC
    variable = disp_y
    min = -0.1
    max = 0.1
  [../]
  [./disp_z]
    type = RandomIC
    variable = disp_z
    min = -0.1
    max = 0.1
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[UserObjects]
  [./str]
    type = TensorMechanicsHardeningConstant
    value = 0
  [../]
  [./wpt]
    type = TensorMechanicsPlasticWeakPlaneTensile
    tensile_strength = str
    yield_function_tolerance = 1E-6
    internal_constraint_tolerance = 1E-5
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '1 2'
  [../]
  [./strain]
    type = ComputeIncrementalSmallStrain
    displacements = 'disp_x disp_y disp_z'
    eigenstrain_names = ini_stress
  [../]
  [./ini_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = '1 2 3  2 -4 -5  3 -5 2'
    eigenstrain_name = ini_stress
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    tangent_operator = linear
    plastic_models = wpt
    transverse_direction = '0 0 1'
    ep_plastic_tolerance = 1E-5
  [../]
[]
[Preconditioning]
  [./andy]
    type = SMP
    full = true
    petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it -snes_type'
    petsc_options_value = 'bcgs bjacobi 1E-15 1E-10 10000 test'
  [../]
[]
[Executioner]
  type = Transient
  solve_type = Newton
[]
(modules/tensor_mechanics/test/tests/notched_plastic_block/cmc_planar.i)
# Uses an unsmoothed version of capped-Mohr-Coulomb (via ComputeMultiPlasticityStress with TensorMechanicsPlasticTensileMulti and TensorMechanicsPlasticMohrCoulombMulti) to simulate the following problem.
# A cubical block is notched around its equator.
# All of its outer surfaces have roller BCs, but the notched region is free to move as needed
# The block is initialised with a high hydrostatic tensile stress
# Without the notch, the BCs do not allow contraction of the block, and this stress configuration is admissible
# With the notch, however, the interior parts of the block are free to move in order to relieve stress, and this causes plastic failure
# The top surface is then pulled upwards (the bottom is fixed because of the roller BCs)
# This causes more failure
[Mesh]
  [generated_mesh]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 9
    ny = 9
    nz = 9
    xmin = 0
    xmax = 0.1
    ymin = 0
    ymax = 0.1
    zmin = 0
    zmax = 0.1
  []
  [block_to_remove_xmin]
    type = SubdomainBoundingBoxGenerator
    bottom_left = '-0.01 -0.01 0.045'
    top_right = '0.01 0.11 0.055'
    location = INSIDE
    block_id = 1
    input = generated_mesh
  []
  [block_to_remove_xmax]
    type = SubdomainBoundingBoxGenerator
    bottom_left = '0.09 -0.01 0.045'
    top_right = '0.11 0.11 0.055'
    location = INSIDE
    block_id = 1
    input = block_to_remove_xmin
  []
  [block_to_remove_ymin]
    type = SubdomainBoundingBoxGenerator
    bottom_left = '-0.01 -0.01 0.045'
    top_right = '0.11 0.01 0.055'
    location = INSIDE
    block_id = 1
    input = block_to_remove_xmax
  []
  [block_to_remove_ymax]
    type = SubdomainBoundingBoxGenerator
    bottom_left = '-0.01 0.09 0.045'
    top_right = '0.11 0.11 0.055'
    location = INSIDE
    block_id = 1
    input = block_to_remove_ymin
  []
  [remove_block]
    type = BlockDeletionGenerator
    block = 1
    input = block_to_remove_ymax
  []
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'max_principal_stress mid_principal_stress min_principal_stress stress_zz'
    eigenstrain_names = ini_stress
  [../]
[]
[Postprocessors]
  [./uz]
    type = PointValue
    point = '0 0 0.1'
    use_displaced_mesh = false
    variable = disp_z
  [../]
  [./s_zz]
    type = ElementAverageValue
    use_displaced_mesh = false
    variable = stress_zz
  [../]
  [./num_res]
    type = NumResidualEvaluations
  [../]
  [./nr_its]
    type = ElementAverageValue
    variable = num_iters
  [../]
  [./max_nr_its]
    type = ElementExtremeValue
    variable = num_iters
  [../]
  [./runtime]
    type = PerfGraphData
    data_type = TOTAL
    section_name = 'Root'
  [../]
[]
[BCs]
  # back=zmin, front=zmax, bottom=ymin, top=ymax, left=xmin, right=xmax
  [./xmin_xzero]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0.0
  [../]
  [./xmax_xzero]
    type = DirichletBC
    variable = disp_x
    boundary = right
    value = 0.0
  [../]
  [./ymin_yzero]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0.0
  [../]
  [./ymax_yzero]
    type = DirichletBC
    variable = disp_y
    boundary = top
    value = 0.0
  [../]
  [./zmin_zzero]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = '0'
  [../]
  [./zmax_disp]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = '1E-6*max(t,0)'
  [../]
[]
[AuxVariables]
  [./mc_int]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./plastic_strain]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./num_iters]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./mc_int_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_internal_parameter
    variable = mc_int
  [../]
  [./plastic_strain_aux]
    type = MaterialRankTwoTensorAux
    i = 2
    j = 2
    property = plastic_strain
    variable = plastic_strain
  [../]
  [./num_iters_auxk] # cannot use plastic_NR_iterations directly as this is zero, since no NR iterations are actually used, since we use a custom algorithm to do the return
    type = ParsedAux
    args = plastic_strain
    function = 'if(plastic_strain>0,1,0)'
    variable = num_iters
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 3E6
  [../]
  [./tensile]
    type = TensorMechanicsPlasticTensileMulti
    tensile_strength = ts
    yield_function_tolerance = 1
    internal_constraint_tolerance = 1.0E-6
    #shift = 1
    use_custom_returnMap = false
    use_custom_cto = false
  [../]
  [./mc_coh]
    type = TensorMechanicsHardeningConstant
    value = 5E6
  [../]
  [./mc_phi]
    type = TensorMechanicsHardeningConstant
    value = 35
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = TensorMechanicsHardeningConstant
    value = 10
    convert_to_radians = true
  [../]
  [./mc]
    type = TensorMechanicsPlasticMohrCoulombMulti
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    yield_function_tolerance = 1E-5
    internal_constraint_tolerance = 1E-11
    use_custom_returnMap = false
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 16E9
    poissons_ratio = 0.25
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    ep_plastic_tolerance = 1E-6
    plastic_models = 'tensile mc'
    max_NR_iterations = 50
    specialIC = rock
    deactivation_scheme = safe_to_dumb
    debug_fspb = crash
  [../]
  [./strain_from_initial_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = '2.5E6 0 0  0 2.5E6 0  0 0 2.5E6'
    eigenstrain_name = ini_stress
  [../]
[]
[Preconditioning]
  [./andy]
    type = SMP
    full = true
  [../]
[]
[Executioner]
  start_time = -1
  end_time = 10
  dt = 1
  solve_type = NEWTON
  type = Transient
  l_tol = 1E-2
  nl_abs_tol = 1E-5
  nl_rel_tol = 1E-7
  l_max_its = 200
  nl_max_its = 400
  petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -ksp_type -ksp_gmres_restart'
  petsc_options_value = ' asm      2              lu            gmres     200'
[]
[Outputs]
  file_base = cmc_planar
  perf_graph = true
  exodus = false
  csv = true
[]
(modules/tensor_mechanics/examples/coal_mining/cosserat_mc_wp_sticky.i)
# Strata deformation and fracturing around a coal mine
#
# A 2D geometry is used that simulates a transverse section of
# the coal mine.  The model is actually 3D, but the "x"
# dimension is only 10m long, meshed with 1 element, and
# there is no "x" displacement.  The mine is 400m deep
# and just the roof is studied (0<=z<=400).  The model sits
# between 0<=y<=450.  The excavation sits in 0<=y<=150.  This
# is a "half model": the boundary conditions are such that
# the model simulates an excavation sitting in -150<=y<=150
# inside a model of the region -450<=y<=450.  The
# excavation height is 3m (ie, the excavation lies within
# 0<=z<=3).
#
# Time is meaningless in this example
# as quasi-static solutions are sought at each timestep, but
# the number of timesteps controls the resolution of the
# process.
#
# The boundary conditions for this elastic simulation are:
#  - disp_x = 0 everywhere
#  - disp_y = 0 at y=0 and y=450
#  - disp_z = 0 at z=0, but there is a time-dependent
#               Young's modulus that simulates excavation
#  - wc_x = 0 at y=0 and y=450.
# That is, rollers on the sides, free at top,
# and prescribed at bottom in the unexcavated portion.
#
# The small strain formulation is used.
#
# All stresses are measured in MPa.  The initial stress is consistent with
# the weight force from density 2500 kg/m^3, ie, stress_zz = -0.025*(300-z) MPa
# where gravity = 10 m.s^-2 = 1E-5 MPa m^2/kg.  The maximum and minimum
# principal horizontal stresses are assumed to be equal to 0.8*stress_zz.
#
# Material properties:
# Young's modulus = 8 GPa
# Poisson's ratio = 0.25
# Cosserat layer thickness = 1 m
# Cosserat-joint normal stiffness = large
# Cosserat-joint shear stiffness = 1 GPa
# MC cohesion = 3 MPa
# MC friction angle = 37 deg
# MC dilation angle = 8 deg
# MC tensile strength = 1 MPa
# MC compressive strength = 100 MPa, varying down to 1 MPa when tensile strain = 1
# WeakPlane cohesion = 0.1 MPa
# WeakPlane friction angle = 30 deg
# WeakPlane dilation angle = 10 deg
# WeakPlane tensile strength = 0.1 MPa
# WeakPlane compressive strength = 100 MPa softening to 1 MPa at strain = 1
#
[Mesh]
  [generated_mesh]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 1
    xmin = -5
    xmax = 5
    nz = 40
    zmin = 0
    zmax = 403.003
    bias_z = 1.1
    ny = 30 # make this a multiple of 3, so y=150 is at a node
    ymin = 0
    ymax = 450
  []
  [left]
    type = SideSetsAroundSubdomainGenerator
    block = 0
    new_boundary = 11
    normal = '0 -1 0'
    input = generated_mesh
  []
  [right]
    type = SideSetsAroundSubdomainGenerator
    block = 0
    new_boundary = 12
    normal = '0 1 0'
    input = left
  []
  [front]
    type = SideSetsAroundSubdomainGenerator
    block = 0
    new_boundary = 13
    normal = '-1 0 0'
    input = right
  []
  [back]
    type = SideSetsAroundSubdomainGenerator
    block = 0
    new_boundary = 14
    normal = '1 0 0'
    input = front
  []
  [top]
    type = SideSetsAroundSubdomainGenerator
    block = 0
    new_boundary = 15
    normal = '0 0 1'
    input = back
  []
  [bottom]
    type = SideSetsAroundSubdomainGenerator
    block = 0
    new_boundary = 16
    normal = '0 0 -1'
    input = top
  []
  [excav]
    type = SubdomainBoundingBoxGenerator
    block_id = 1
    bottom_left = '-5 0 0'
    top_right = '5 150 3'
    input = bottom
  []
  [roof]
    type = SideSetsAroundSubdomainGenerator
    block = 1
    new_boundary = 18
    normal = '0 0 1'
    input = excav
  []
[]
[GlobalParams]
  perform_finite_strain_rotations = false
  displacements = 'disp_x disp_y disp_z'
  Cosserat_rotations = 'wc_x wc_y wc_z'
[]
[Variables]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
  [./wc_x]
  [../]
[]
[Kernels]
  [./cy_elastic]
    type = CosseratStressDivergenceTensors
    use_displaced_mesh = false
    variable = disp_y
    component = 1
  [../]
  [./cz_elastic]
    type = CosseratStressDivergenceTensors
    use_displaced_mesh = false
    variable = disp_z
    component = 2
  [../]
  [./x_couple]
    type = StressDivergenceTensors
    use_displaced_mesh = false
    variable = wc_x
    displacements = 'wc_x wc_y wc_z'
    component = 0
    base_name = couple
  [../]
  [./x_moment]
    type = MomentBalancing
    use_displaced_mesh = false
    variable = wc_x
    component = 0
  [../]
  [./gravity]
    type = Gravity
    use_displaced_mesh = false
    variable = disp_z
    value = -10E-6 # remember this is in MPa
  [../]
[]
[AuxVariables]
  [./disp_x]
  [../]
  [./wc_y]
  [../]
  [./wc_z]
  [../]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mc_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mc_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./wp_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./wp_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./wp_shear_f]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./wp_tensile_f]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mc_shear_f]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mc_tensile_f]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yx
    index_i = 1
    index_j = 0
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zx
    index_i = 2
    index_j = 0
  [../]
  [./stress_zy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zy
    index_i = 2
    index_j = 1
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./mc_shear]
    type = MaterialStdVectorAux
    index = 0
    property = mc_plastic_internal_parameter
    variable = mc_shear
  [../]
  [./mc_tensile]
    type = MaterialStdVectorAux
    index = 1
    property = mc_plastic_internal_parameter
    variable = mc_tensile
  [../]
  [./wp_shear]
    type = MaterialStdVectorAux
    index = 0
    property = wp_plastic_internal_parameter
    variable = wp_shear
  [../]
  [./wp_tensile]
    type = MaterialStdVectorAux
    index = 1
    property = wp_plastic_internal_parameter
    variable = wp_tensile
  [../]
  [./mc_shear_f]
    type = MaterialStdVectorAux
    index = 6
    property = mc_plastic_yield_function
    variable = mc_shear_f
  [../]
  [./mc_tensile_f]
    type = MaterialStdVectorAux
    index = 0
    property = mc_plastic_yield_function
    variable = mc_tensile_f
  [../]
  [./wp_shear_f]
    type = MaterialStdVectorAux
    index = 0
    property = wp_plastic_yield_function
    variable = wp_shear_f
  [../]
  [./wp_tensile_f]
    type = MaterialStdVectorAux
    index = 1
    property = wp_plastic_yield_function
    variable = wp_tensile_f
  [../]
[]
[BCs]
  [./no_y]
    type = DirichletBC
    variable = disp_y
    boundary = '11 12'
    value = 0.0
  [../]
  [./no_z]
    type = DirichletBC
    variable = disp_z
    boundary = '16'
    value = 0.0
  [../]
  [./no_wc_x]
    type = DirichletBC
    variable = wc_x
    boundary = '11 12'
    value = 0.0
  [../]
  [./roof]
    type = StickyBC
    variable = disp_z
    min_value = -3.0
    boundary = '18'
  [../]
[]
[Functions]
  [./ini_xx]
    type = ParsedFunction
    value = '-0.8*2500*10E-6*(403.003-z)'
  [../]
  [./ini_zz]
    type = ParsedFunction
    value = '-2500*10E-6*(403.003-z)'
  [../]
  [./excav_sideways]
    type = ParsedFunction
    vars = 'end_t ymin ymax  minval maxval slope'
    vals = '1.0   0    150.0 1E-9 1 15'
    # excavation face at ymin+(ymax-ymin)*min(t/end_t,1)
    # slope is the distance over which the modulus reduces from maxval to minval
    value = 'if(y<ymin+(ymax-ymin)*min(t/end_t,1),minval,if(y<ymin+(ymax-ymin)*min(t/end_t,1)+slope,minval+(maxval-minval)*(y-(ymin+(ymax-ymin)*min(t/end_t,1)))/slope,maxval))'
  [../]
  [./density_sideways]
    type = ParsedFunction
    vars = 'end_t ymin ymax  minval maxval'
    vals = '1.0   0    150.0 0 2500'
    value = 'if(y<ymin+(ymax-ymin)*min(t/end_t,1),minval,maxval)'
  [../]
[]
[UserObjects]
  [./mc_coh_strong_harden]
    type = TensorMechanicsHardeningExponential
    value_0 = 2.99 # MPa
    value_residual = 3.01 # MPa
    rate = 1.0
  [../]
  [./mc_fric]
    type = TensorMechanicsHardeningConstant
    value = 0.65 # 37deg
  [../]
  [./mc_dil]
    type = TensorMechanicsHardeningConstant
    value = 0.15 # 8deg
  [../]
  [./mc_tensile_str_strong_harden]
    type = TensorMechanicsHardeningExponential
    value_0 = 1.0 # MPa
    value_residual = 1.0 # MPa
    rate = 1.0
  [../]
  [./mc_compressive_str]
    type = TensorMechanicsHardeningCubic
    value_0 = 100 # Large!
    value_residual = 100
    internal_limit = 0.1
  [../]
  [./wp_coh_harden]
    type = TensorMechanicsHardeningCubic
    value_0 = 0.1
    value_residual = 0.1
    internal_limit = 10
  [../]
  [./wp_tan_fric]
    type = TensorMechanicsHardeningConstant
    value = 0.36 # 20deg
  [../]
  [./wp_tan_dil]
    type = TensorMechanicsHardeningConstant
    value = 0.18 # 10deg
  [../]
  [./wp_tensile_str_harden]
    type = TensorMechanicsHardeningCubic
    value_0 = 0.1
    value_residual = 0.1
    internal_limit = 10
  [../]
  [./wp_compressive_str_soften]
    type = TensorMechanicsHardeningCubic
    value_0 = 100
    value_residual = 1
    internal_limit = 1.0
  [../]
[]
[Materials]
  [./elasticity_tensor_0]
    type = ComputeLayeredCosseratElasticityTensor
    block = 0
    young = 8E3 # MPa
    poisson = 0.25
    layer_thickness = 1.0
    joint_normal_stiffness = 1E9 # huge
    joint_shear_stiffness = 1E3 # MPa
  [../]
  [./elasticity_tensor_1]
    type = ComputeLayeredCosseratElasticityTensor
    block = 1
    young = 8E3 # MPa
    poisson = 0.25
    layer_thickness = 1.0
    joint_normal_stiffness = 1E9 # huge
    joint_shear_stiffness = 1E3 # MPa
    elasticity_tensor_prefactor = excav_sideways
  [../]
  [./strain]
    type = ComputeCosseratIncrementalSmallStrain
    eigenstrain_names = ini_stress
  [../]
  [./ini_stress]
    type = ComputeEigenstrainFromInitialStress
    eigenstrain_name = ini_stress
    initial_stress = 'ini_xx 0 0  0 ini_xx 0  0 0 ini_zz'
  [../]
  [./stress_0]
    # this is needed so as to correctly apply the initial stress
    type = ComputeMultipleInelasticCosseratStress
    block = 0
    inelastic_models = 'mc wp'
    cycle_models = true
    relative_tolerance = 2.0
    absolute_tolerance = 1E6
    max_iterations = 1
    tangent_operator = nonlinear
    perform_finite_strain_rotations = false
  [../]
  [./stress_1]
    type = ComputeMultipleInelasticCosseratStress
    block = 1
    inelastic_models = ''
    relative_tolerance = 2.0
    absolute_tolerance = 1E6
    max_iterations = 1
    tangent_operator = nonlinear
    perform_finite_strain_rotations = false
  [../]
  [./mc]
    type = CappedMohrCoulombCosseratStressUpdate
    warn_about_precision_loss = false
    host_youngs_modulus = 8E3
    host_poissons_ratio = 0.25
    base_name = mc
    tensile_strength = mc_tensile_str_strong_harden
    compressive_strength = mc_compressive_str
    cohesion = mc_coh_strong_harden
    friction_angle = mc_fric
    dilation_angle = mc_dil
    max_NR_iterations = 100000
    smoothing_tol = 0.1 # MPa  # Must be linked to cohesion
    yield_function_tol = 1E-9 # MPa.  this is essentially the lowest possible without lots of precision loss
    perfect_guess = true
    min_step_size = 1.0
  [../]
  [./wp]
    type = CappedWeakPlaneCosseratStressUpdate
    warn_about_precision_loss = false
    base_name = wp
    cohesion = wp_coh_harden
    tan_friction_angle = wp_tan_fric
    tan_dilation_angle = wp_tan_dil
    tensile_strength = wp_tensile_str_harden
    compressive_strength = wp_compressive_str_soften
    max_NR_iterations = 10000
    tip_smoother = 0.1
    smoothing_tol = 0.1 # MPa  # Note, this must be tied to cohesion, otherwise get no possible return at cone apex
    yield_function_tol = 1E-11 # MPa.  this is essentially the lowest possible without lots of precision loss
    perfect_guess = true
    min_step_size = 1.0E-3
  [../]
  [./density_0]
    type = GenericConstantMaterial
    block = 0
    prop_names = density
    prop_values = 2500
  [../]
  [./density_1]
    type = GenericFunctionMaterial
    block = 1
    prop_names = density
    prop_values = density_sideways
  [../]
[]
[Postprocessors]
  [./subs_max]
    type = PointValue
    point = '0 0 403.003'
    variable = disp_z
    use_displaced_mesh = false
  [../]
[]
[Preconditioning]
  [./SMP]
    type = SMP
    full = true
  []
[]
[Executioner]
  type = Transient
  solve_type = 'NEWTON'
  petsc_options = '-snes_converged_reason'
  petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -ksp_type -ksp_gmres_restart'
  petsc_options_value = ' asm      2              lu            gmres     200'
  line_search = bt
  nl_abs_tol = 1e-8
  nl_rel_tol = 1e-8
  l_max_its = 30
  nl_max_its = 1000
  start_time = 0.0
  dt = 0.01
  end_time = 1.0
[]
[Outputs]
  file_base = cosserat_mc_wp_sticky
  interval = 1
  print_linear_residuals = false
  exodus = true
  csv = true
  console = true
[]
(modules/tensor_mechanics/test/tests/orthotropic_plasticity/orthotropic.i)
# UserObject Orthotropic test, with constant hardening.
# Linear strain is applied in the x and y direction.
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin =  -.5
  xmax = .5
  ymin = -.5
  ymax = .5
  zmin = -.5
  zmax = .5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    strain = FINITE
    add_variables = true
    generate_output = 'stress_xx stress_yy stress_zz stress_xy stress_yz stress_xz'
  [../]
[]
[BCs]
  [./xdisp]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'right'
    function = '0.005*t'
  [../]
  [./ydisp]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'top'
    function = '0.005*t'
  [../]
  [./yfix]
    type = DirichletBC
    variable = disp_y
    #boundary = 'bottom top'
    boundary = 'bottom'
    value = 0
  [../]
  [./xfix]
    type = DirichletBC
    variable = disp_x
    boundary = 'left'
    value = 0
  [../]
  [./zfix]
    type = DirichletBC
    variable = disp_z
    #boundary = 'front back'
    boundary = 'back'
    value = 0
  [../]
[]
[AuxVariables]
  [./plastic_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./plastic_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./plastic_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./plastic_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./plastic_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./plastic_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./sdev]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./sdet]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./plastic_xx]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = plastic_xx
    index_i = 0
    index_j = 0
  [../]
  [./plastic_xy]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = plastic_xy
    index_i = 0
    index_j = 1
  [../]
  [./plastic_xz]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = plastic_xz
    index_i = 0
    index_j = 2
  [../]
  [./plastic_yy]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = plastic_yy
    index_i = 1
    index_j = 1
  [../]
  [./plastic_yz]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = plastic_yz
    index_i = 1
    index_j = 2
  [../]
  [./plastic_zz]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = plastic_zz
    index_i = 2
    index_j = 2
  [../]
  [./f]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = f
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./intnl]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_internal_parameter
    variable = intnl
  [../]
  [./sdev]
    type = RankTwoScalarAux
    variable = sdev
    rank_two_tensor = stress
    scalar_type = VonMisesStress
  [../]
[]
[Postprocessors]
  [./sdev]
    type = PointValue
    point = '0 0 0'
    variable = sdev
  [../]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./p_xx]
    type = PointValue
    point = '0 0 0'
    variable = plastic_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./p_xy]
    type = PointValue
    point = '0 0 0'
    variable = plastic_xy
  [../]
  [./p_xz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_xz
  [../]
  [./p_yz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_yz
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./p_yy]
    type = PointValue
    point = '0 0 0'
    variable = plastic_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./p_zz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_zz
  [../]
  [./intnl]
    type = PointValue
    point = '0 0 0'
    variable = intnl
  [../]
[]
[UserObjects]
  [./str]
    type = TensorMechanicsHardeningConstant
    value = 300
  [../]
  [./Orthotropic]
    type = TensorMechanicsPlasticOrthotropic
    b = -0.2
    c1 = '1 1 1 1 1 1'
    c2 = '1 1 1 1 1 1'
    associative = true
    yield_strength = str
    yield_function_tolerance = 1e-5
    internal_constraint_tolerance = 1e-9
    use_custom_returnMap = false
    use_custom_cto = false
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '121e3 80e3'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    ep_plastic_tolerance = 1e-9
    plastic_models = Orthotropic
    debug_fspb = crash
    tangent_operator = elastic
  [../]
[]
[Preconditioning]
  [./smp]
    type = SMP
    full = true
  [../]
[]
[Executioner]
  num_steps = 3
  dt = .5
  type = Transient
  nl_rel_tol = 1e-6
  nl_max_its = 10
  l_tol = 1e-4
  l_max_its = 50
  solve_type = PJFNK
  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'
[]
[Outputs]
  perf_graph = false
  csv = true
[]
(modules/tensor_mechanics/test/tests/capped_weak_plane/small_deform_inclined2.i)
# Plastic deformation, tensile failure, with normal=(1,0,0)
# With Lame lambda=0 and Lame mu=1, applying the following
# deformation to the zmax surface of a unit cube:
# disp_x = t
# should yield trial stress:
# stress_xx = 2*t
# Use tensile strength = 1, we should return to stress_xx = 1
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz plastic_strain_xx plastic_strain_xy plastic_strain_xz plastic_strain_yy plastic_strain_yz plastic_strain_zz strain_xx strain_xy strain_xz strain_yy strain_yz strain_zz'
  [../]
[]
[BCs]
  [./bottomx]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0.0
  [../]
  [./bottomy]
    type = DirichletBC
    variable = disp_y
    boundary = left
    value = 0.0
  [../]
  [./bottomz]
    type = DirichletBC
    variable = disp_z
    boundary = left
    value = 0.0
  [../]
  [./topx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = right
    function = t
  [../]
  [./topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = right
    function = 0
  [../]
  [./topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = right
    function = 0
  [../]
[]
[AuxVariables]
  [./f_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_compressive]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./ls]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./f_shear]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f_shear
  [../]
  [./f_tensile]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f_tensile
  [../]
  [./f_compressive]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f_compressive
  [../]
  [./intnl_shear]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = intnl_shear
  [../]
  [./intnl_tensile]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 1
    variable = intnl_tensile
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./ls]
    type = MaterialRealAux
    property = plastic_linesearch_needed
    variable = ls
  [../]
[]
[Postprocessors]
  [./stress_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./stress_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./stress_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./stress_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./stress_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./stress_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./strainp_xx]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_xx
  [../]
  [./strainp_xy]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_xy
  [../]
  [./strainp_xz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_xz
  [../]
  [./strainp_yy]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_yy
  [../]
  [./strainp_yz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_yz
  [../]
  [./strainp_zz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_zz
  [../]
  [./straint_xx]
    type = PointValue
    point = '0 0 0'
    variable = strain_xx
  [../]
  [./straint_xy]
    type = PointValue
    point = '0 0 0'
    variable = strain_xy
  [../]
  [./straint_xz]
    type = PointValue
    point = '0 0 0'
    variable = strain_xz
  [../]
  [./straint_yy]
    type = PointValue
    point = '0 0 0'
    variable = strain_yy
  [../]
  [./straint_yz]
    type = PointValue
    point = '0 0 0'
    variable = strain_yz
  [../]
  [./straint_zz]
    type = PointValue
    point = '0 0 0'
    variable = strain_zz
  [../]
  [./f_shear]
    type = PointValue
    point = '0 0 0'
    variable = f_shear
  [../]
  [./f_tensile]
    type = PointValue
    point = '0 0 0'
    variable = f_tensile
  [../]
  [./f_compressive]
    type = PointValue
    point = '0 0 0'
    variable = f_compressive
  [../]
  [./intnl_shear]
    type = PointValue
    point = '0 0 0'
    variable = intnl_shear
  [../]
  [./intnl_tensile]
    type = PointValue
    point = '0 0 0'
    variable = intnl_tensile
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
  [./ls]
    type = PointValue
    point = '0 0 0'
    variable = ls
  [../]
[]
[UserObjects]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 30
  [../]
  [./tanphi]
    type = TensorMechanicsHardeningConstant
    value = 0.5
  [../]
  [./tanpsi]
    type = TensorMechanicsHardeningConstant
    value = 0.1111077
  [../]
  [./t_strength]
    type = TensorMechanicsHardeningConstant
    value = 1
  [../]
  [./c_strength]
    type = TensorMechanicsHardeningConstant
    value = 40
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '0 1'
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    inelastic_models = stress
    perform_finite_strain_rotations = false
  [../]
  [./stress]
    type = CappedWeakInclinedPlaneStressUpdate
    normal_vector = '1 0 0'
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    tensile_strength = t_strength
    compressive_strength = c_strength
    tip_smoother = 0
    smoothing_tol = 0
    yield_function_tol = 1E-5
  [../]
[]
[Executioner]
  end_time = 2
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform_inclined2
  csv = true
[]
(modules/tensor_mechanics/test/tests/weak_plane_tensile/large_deform1.i)
# rotate the mesh by 90degrees
# then pull in the z direction - should be no plasticity
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[BCs]
  # rotate:
  # ynew = c*y + s*z.  znew = -s*y + c*z
  [./bottomx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = back
    function = '0'
  [../]
  [./bottomy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = back
    function = '0*y+1*z-y'
  [../]
  [./bottomz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = back
    function = '-1*y+0*z-z+if(t>0,0.5-y,0)' # note that this uses original nodal values of (x,y,z)
  [../]
  [./topx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = front
    function = '0'
  [../]
  [./topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = front
    function = '0*y+1*z-y'
  [../]
  [./topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = '-1*y+0*z-z+if(t>0,0.5-y,0)' # note that this uses original nodal values of (x,y,z)
  [../]
[]
[AuxVariables]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_zx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zx
    index_i = 2
    index_j = 0
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = yield_fcn
  [../]
[]
[Postprocessors]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]
[UserObjects]
  [./str]
    type = TensorMechanicsHardeningConstant
    value = 1
  [../]
  [./wpt]
    type = TensorMechanicsPlasticWeakPlaneTensile
    tensile_strength = str
    yield_function_tolerance = 1E-6
    internal_constraint_tolerance = 1E-5
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E6'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    plastic_models = wpt
    transverse_direction = '0 0 1'
    ep_plastic_tolerance = 1E-5
  [../]
[]
[Executioner]
  start_time = -1
  end_time = 1
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = large_deform1
  [./csv]
    type = CSV
    [../]
  [./exodus]
    type = Exodus
    [../]
[]
(modules/tensor_mechanics/test/tests/capped_weak_plane/small_deform_cosserat1.i)
# Plastic deformation.  Layered Cosserat with parameters:
# Young = 1.0
# Poisson = 0.2
# layer_thickness = 0.1
# joint_normal_stiffness = 0.25
# joint_shear_stiffness = 0.2
# These give the following nonzero components of the elasticity tensor:
# E_0000 = E_1111 = 1.043195
# E_0011 = E_1100 = 0.260799
# E_2222 = 0.02445
# E_0022 = E_1122 = E_2200 = E_2211 = 0.006112
# G = E_0101 = E_0110 = E_1001 = E_1010 = 0.416667
# Gt = E_0202 = E_0220 = E_2002 = E_1212 = E_1221 = E_2112 = 0.019084
# E_2020 = E_2121 = 0.217875
# They give the following nonzero components of the bending rigidity tensor:
# D = 8.68056E-5
# B_0101 = B_1010 = 7.92021E-4
# B_0110 = B_1001 = -1.584E-4
#
# Applying the following deformation to the zmax surface of a unit cube:
# disp_x = 8*t
# disp_y = 6*t
# disp_z = t
# omega_x = omega_y = omega_z = 0
# yields the following strains:
# strain_xz = 8*t
# strain_yz = 6*t
# strain_zz = t
# and all other components, and the curvature, are zero.
# The nonzero components of stress are therefore:
# stress_xx = stress_yy = 0.006112*t
# stress_xz = stress_zx = 0.152671*t
# stress_yz = stress_zy = 0.114504*t
# stress_zz = 0.0244499*t
# The moment stress is zero.
# So q = 0.19084*t and p = 0.0244*t.
#
# With large cohesion, but tensile strength = 0.0244499, the
# system is elastic up to t=1.  After that time
# stress_zz = 0.0244499 (for t>=1)
# and
# stress_xx = stress_yy = 0.006112 (for t>=1), since the
# elastic trial increment is exactly canelled by the Poisson's
# contribution from the return to the yield surface.
# The plastic strains are zero for t<=1, but for larger times:
# plastic_strain_zz = (t - 1)  (for t>=1)
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  Cosserat_rotations = 'wc_x wc_y wc_z'
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
  [./wc_x]
  [../]
  [./wc_y]
  [../]
[]
[Kernels]
  [./cx_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_x
    component = 0
  [../]
  [./cy_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_y
    component = 1
  [../]
  [./cz_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_z
    component = 2
  [../]
  [./x_couple]
    type = StressDivergenceTensors
    variable = wc_x
    displacements = 'wc_x wc_y wc_z'
    component = 0
    base_name = couple
  [../]
  [./y_couple]
    type = StressDivergenceTensors
    variable = wc_y
    displacements = 'wc_x wc_y wc_z'
    component = 1
    base_name = couple
  [../]
  [./x_moment]
    type = MomentBalancing
    variable = wc_x
    component = 0
  [../]
  [./y_moment]
    type = MomentBalancing
    variable = wc_y
    component = 1
  [../]
[]
[BCs]
  [./bottomx]
    type = DirichletBC
    variable = disp_x
    boundary = back
    value = 0.0
  [../]
  [./bottomy]
    type = DirichletBC
    variable = disp_y
    boundary = back
    value = 0.0
  [../]
  [./bottomz]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0.0
  [../]
  [./topx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = front
    function = 8*t
  [../]
  [./topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = front
    function = 6*t
  [../]
  [./topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = t
  [../]
[]
[AuxVariables]
  [./wc_z]
  [../]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./couple_stress_xx]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_xy]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_xz]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_yx]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_yy]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_yz]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_zx]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_zy]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_zz]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./strainp_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_yx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_zx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_zy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_yx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_zx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_zy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_compressive]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./ls]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yx
    index_i = 1
    index_j = 0
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zx
    index_i = 2
    index_j = 0
  [../]
  [./stress_zy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zy
    index_i = 2
    index_j = 1
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./couple_stress_xx]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./couple_stress_xy]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./couple_stress_xz]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./couple_stress_yx]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_yx
    index_i = 1
    index_j = 0
  [../]
  [./couple_stress_yy]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./couple_stress_yz]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./couple_stress_zx]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_zx
    index_i = 2
    index_j = 0
  [../]
  [./couple_stress_zy]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_zy
    index_i = 2
    index_j = 1
  [../]
  [./couple_stress_zz]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./strainp_xx]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_xx
    index_i = 0
    index_j = 0
  [../]
  [./strainp_xy]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_xy
    index_i = 0
    index_j = 1
  [../]
  [./strainp_xz]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_xz
    index_i = 0
    index_j = 2
  [../]
  [./strainp_yx]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_yx
    index_i = 1
    index_j = 0
  [../]
  [./strainp_yy]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_yy
    index_i = 1
    index_j = 1
  [../]
  [./strainp_yz]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_yz
    index_i = 1
    index_j = 2
  [../]
  [./strainp_zx]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_zx
    index_i = 2
    index_j = 0
  [../]
  [./strainp_zy]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_zy
    index_i = 2
    index_j = 1
  [../]
  [./strainp_zz]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_zz
    index_i = 2
    index_j = 2
  [../]
  [./straint_xx]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_xx
    index_i = 0
    index_j = 0
  [../]
  [./straint_xy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_xy
    index_i = 0
    index_j = 1
  [../]
  [./straint_xz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_xz
    index_i = 0
    index_j = 2
  [../]
  [./straint_yx]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_yx
    index_i = 1
    index_j = 0
  [../]
  [./straint_yy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_yy
    index_i = 1
    index_j = 1
  [../]
  [./straint_yz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_yz
    index_i = 1
    index_j = 2
  [../]
  [./straint_zx]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_zx
    index_i = 2
    index_j = 0
  [../]
  [./straint_zy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_zy
    index_i = 2
    index_j = 1
  [../]
  [./straint_zz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_zz
    index_i = 2
    index_j = 2
  [../]
  [./f_shear]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f_shear
  [../]
  [./f_tensile]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f_tensile
  [../]
  [./f_compressive]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f_compressive
  [../]
  [./intnl_shear]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = intnl_shear
  [../]
  [./intnl_tensile]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 1
    variable = intnl_tensile
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./ls]
    type = MaterialRealAux
    property = plastic_linesearch_needed
    variable = ls
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yx]
    type = PointValue
    point = '0 0 0'
    variable = stress_yx
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zx]
    type = PointValue
    point = '0 0 0'
    variable = stress_zx
  [../]
  [./s_zy]
    type = PointValue
    point = '0 0 0'
    variable = stress_zy
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./c_s_xx]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_xx
  [../]
  [./c_s_xy]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_xy
  [../]
  [./c_s_xz]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_xz
  [../]
  [./c_s_yx]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_yx
  [../]
  [./c_s_yy]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_yy
  [../]
  [./c_s_yz]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_yz
  [../]
  [./c_s_zx]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_zx
  [../]
  [./c_s_zy]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_zy
  [../]
  [./c_s_zz]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_zz
  [../]
  [./strainp_xx]
    type = PointValue
    point = '0 0 0'
    variable = strainp_xx
  [../]
  [./strainp_xy]
    type = PointValue
    point = '0 0 0'
    variable = strainp_xy
  [../]
  [./strainp_xz]
    type = PointValue
    point = '0 0 0'
    variable = strainp_xz
  [../]
  [./strainp_yx]
    type = PointValue
    point = '0 0 0'
    variable = strainp_yx
  [../]
  [./strainp_yy]
    type = PointValue
    point = '0 0 0'
    variable = strainp_yy
  [../]
  [./strainp_yz]
    type = PointValue
    point = '0 0 0'
    variable = strainp_yz
  [../]
  [./strainp_zx]
    type = PointValue
    point = '0 0 0'
    variable = strainp_zx
  [../]
  [./strainp_zy]
    type = PointValue
    point = '0 0 0'
    variable = strainp_zy
  [../]
  [./strainp_zz]
    type = PointValue
    point = '0 0 0'
    variable = strainp_zz
  [../]
  [./straint_xx]
    type = PointValue
    point = '0 0 0'
    variable = straint_xx
  [../]
  [./straint_xy]
    type = PointValue
    point = '0 0 0'
    variable = straint_xy
  [../]
  [./straint_xz]
    type = PointValue
    point = '0 0 0'
    variable = straint_xz
  [../]
  [./straint_yx]
    type = PointValue
    point = '0 0 0'
    variable = straint_yx
  [../]
  [./straint_yy]
    type = PointValue
    point = '0 0 0'
    variable = straint_yy
  [../]
  [./straint_yz]
    type = PointValue
    point = '0 0 0'
    variable = straint_yz
  [../]
  [./straint_zx]
    type = PointValue
    point = '0 0 0'
    variable = straint_zx
  [../]
  [./straint_zy]
    type = PointValue
    point = '0 0 0'
    variable = straint_zy
  [../]
  [./straint_zz]
    type = PointValue
    point = '0 0 0'
    variable = straint_zz
  [../]
  [./f_shear]
    type = PointValue
    point = '0 0 0'
    variable = f_shear
  [../]
  [./f_tensile]
    type = PointValue
    point = '0 0 0'
    variable = f_tensile
  [../]
  [./f_compressive]
    type = PointValue
    point = '0 0 0'
    variable = f_compressive
  [../]
  [./intnl_shear]
    type = PointValue
    point = '0 0 0'
    variable = intnl_shear
  [../]
  [./intnl_tensile]
    type = PointValue
    point = '0 0 0'
    variable = intnl_tensile
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
  [./ls]
    type = PointValue
    point = '0 0 0'
    variable = ls
  [../]
[]
[UserObjects]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 30
  [../]
  [./tanphi]
    type = TensorMechanicsHardeningConstant
    value = 0.5
  [../]
  [./tanpsi]
    type = TensorMechanicsHardeningConstant
    value = 0.1111077
  [../]
  [./t_strength]
    type = TensorMechanicsHardeningConstant
    value = 0.024449878
  [../]
  [./c_strength]
    type = TensorMechanicsHardeningConstant
    value = 40
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeLayeredCosseratElasticityTensor
    young = 1.0
    poisson = 0.2
    layer_thickness = 0.1
    joint_normal_stiffness = 0.25
    joint_shear_stiffness = 0.2
  [../]
  [./strain]
    type = ComputeCosseratIncrementalSmallStrain
  [../]
  [./admissible]
    type = ComputeMultipleInelasticCosseratStress
    inelastic_models = stress
    perform_finite_strain_rotations = false
  [../]
  [./stress]
    type = CappedWeakPlaneCosseratStressUpdate
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    tensile_strength = t_strength
    compressive_strength = c_strength
    tip_smoother = 0
    smoothing_tol = 1
    yield_function_tol = 1E-5
  [../]
[]
[Executioner]
  nl_abs_tol = 1E-14
  end_time = 3
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform_cosserat1
  csv = true
[]
(modules/tensor_mechanics/test/tests/jacobian/cto13.i)
# checking jacobian for nonlinear plasticity (single surface, smoothed MohrCoulomb)
# note: must have min_stepsize=1 otherwise the nonlinearities compound and make the jacobian more inaccurate
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  block = 0
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[UserObjects]
  [./mc_coh]
    type = TensorMechanicsHardeningConstant
    value = 10
  [../]
  [./mc_phi]
    type = TensorMechanicsHardeningConstant
    value = 60
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = TensorMechanicsHardeningConstant
    value = 5
    convert_to_radians = true
  [../]
  [./mc]
    type = TensorMechanicsPlasticMohrCoulomb
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    mc_tip_smoother = 4
    mc_edge_smoother = 25
    yield_function_tolerance = 1E-11
    internal_constraint_tolerance = 1E-9
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1'
  [../]
  [./strain]
    type = ComputeIncrementalSmallStrain
    displacements = 'disp_x disp_y disp_z'
    eigenstrain_names = ini_stress
  [../]
  [./ini_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = '6 5 4  5 7 2  4 2 2'
    eigenstrain_name = ini_stress
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    ep_plastic_tolerance = 1E-11
    plastic_models = mc
    tangent_operator = nonlinear
    min_stepsize = 1
  [../]
[]
[Preconditioning]
  [./andy]
    type = SMP
    full = true
    petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it -snes_type'
    petsc_options_value = 'bcgs bjacobi 1E-15 1E-10 10000 test'
  [../]
[]
[Executioner]
  type = Transient
  solve_type = Newton
[]
(modules/tensor_mechanics/test/tests/capped_mohr_coulomb/small_deform9.i)
# Using CappedMohrCoulomb with tensile failure only
# A single unit element is stretched in a complicated way
# that the trial stress is
#
#      1.16226      -0.0116587       0.0587872
#     -0.0116587         1.12695       0.0779428
#      0.0587872       0.0779428        0.710169
#
# This has eigenvalues
# la = {0.68849, 1.14101, 1.16987}
# and eigenvectors
#
# {-0.125484, -0.176871, 0.976202}
# {-0.0343704, -0.982614, -0.182451}
# {0.9915, -0.0564471, 0.117223}
#
# The tensile strength is 0.5 and Young=1 and Poisson=0.25.
# Using smoothing_tol=0.01, the return-map algorithm should
# return to, approximately, stress_I=stress_II=0.5.  This
# is a reduction of 0.66, so stress_III is approximately
# 0.68849 - v * 0.66 * 2 = 0.68849 - 0.25 * 0.66 * 2 = 0.36.
#
# E_22 = E(1-v)/(1+v)/(1-2v) = 1.2, and E_02 = E_22 v/(1-v)
# gamma_shear = ((smax-smin)^trial - (smax-smin)) / (E_22 - E_02)
# = (1-2v) * (smax^trial - smax) / (E_22(1 - 2v)/(1-v))
# = (1 - v) * (smax^trial - smax) / E_22
# Using psi = 30deg, sin(psi) = 1/2
# the shear correction to the tensile internal parameter is
# gamma_shear (E_22 + E_20) sin(psi) = gamma_shear E_22 sin(psi) / (1 - v)
# = gamma_shear E_22 / (1 - v) / 2
# Then the tensile internal parameter is
# (1 - v) * (reduction_of_(max+min)_principal - gamma_shear * E_22 / (1-v) / 2) / E_22
# = (1-v)(1+2v)(smax^trial - smax)/E_22 - gamma_shear / 2
# = 0.41 (approximately)
#
# The final stress is
#
# {0.498, -0.003, 0.017},
# {-0.003, 0.495, 0.024},
# {0.017, 0.024,  0.367}
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    strain = finite
    incremental = true
    generate_output = 'max_principal_stress mid_principal_stress min_principal_stress stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '3*x+2*y+z'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '3*x-4*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = 'x-2*z'
  [../]
[]
[AuxVariables]
  [./f0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./f0_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f0
  [../]
  [./f1_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f1
  [../]
  [./f2_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f2
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./intnl_auxk]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 1
    variable = intnl
  [../]
[]
[Postprocessors]
  [./s_I]
    type = PointValue
    point = '0 0 0'
    variable = max_principal_stress
  [../]
  [./s_II]
    type = PointValue
    point = '0 0 0'
    variable = mid_principal_stress
  [../]
  [./s_III]
    type = PointValue
    point = '0 0 0'
    variable = min_principal_stress
  [../]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = f0
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = f1
  [../]
  [./f2]
    type = PointValue
    point = '0 0 0'
    variable = f2
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
  [./intnl]
    type = PointValue
    point = '0 0 0'
    variable = intnl
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 0.5
  [../]
  [./cs]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./ang]
    type = TensorMechanicsHardeningConstant
    value = 30
    convert_to_radians = true
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1
    poissons_ratio = 0.25
  [../]
  [./tensile]
    type = CappedMohrCoulombStressUpdate
    tensile_strength = ts
    compressive_strength = cs
    cohesion = coh
    friction_angle = ang
    dilation_angle = ang
    smoothing_tol = 0.001
    yield_function_tol = 1.0E-12
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = tensile
    perform_finite_strain_rotations = false
  [../]
[]
[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform9
  csv = true
[]
(modules/tensor_mechanics/test/tests/mean_cap/small_deform1.i)
# apply uniform stretch in x, y and z directions.
# With a = 1 and strength = 2, the algorithm should return to sigma_m = 2
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '1E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '1E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z'
  [../]
[]
[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./f]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = f
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = f
  [../]
[]
[UserObjects]
  [./strength]
    type = TensorMechanicsHardeningConstant
    value = 2
  [../]
  [./cap]
    type = TensorMechanicsPlasticMeanCap
    a = 1
    strength = strength
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-9
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./strain]
    type = ComputeIncrementalSmallStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mean_cap]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = cap
    debug_fspb = crash
    debug_jac_at_stress = '10 0 0 0 10 0 0 0 10'
    debug_jac_at_pm = 1
    debug_jac_at_intnl = 1
    debug_stress_change = 1E-5
    debug_pm_change = 1E-6
    debug_intnl_change = 1E-6
  [../]
[]
[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform1
  exodus = false
  [./csv]
    type = CSV
  [../]
[]
(modules/tensor_mechanics/test/tests/capped_drucker_prager/small_deform2_outer_tip.i)
# apply repeated stretches in x, y and z directions, so that mean_stress = 0
# This maps out the yield surface in the octahedral plane for zero mean stress
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '-1.5E-6*x+2E-6*x*sin(t)'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '2E-6*y*sin(2*t)'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '-2E-6*z*(sin(t)+sin(2*t))'
  [../]
[]
[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 1000
  [../]
  [./cs]
    type = TensorMechanicsHardeningConstant
    value = 1000
  [../]
  [./mc_coh]
    type = TensorMechanicsHardeningConstant
    value = 10
  [../]
  [./mc_phi]
    type = TensorMechanicsHardeningConstant
    value = 20
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = TensorMechanicsHardeningConstant
    value = 0
  [../]
  [./dp]
    type = TensorMechanicsPlasticDruckerPrager
    mc_cohesion = mc_coh
    mc_friction_angle = mc_phi
    mc_dilation_angle = mc_psi
    mc_interpolation_scheme = outer_tip
    internal_constraint_tolerance = 1 # irrelevant here
    yield_function_tolerance = 1      # irrelevant here
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    inelastic_models = cdp
    perform_finite_strain_rotations = false
  [../]
  [./cdp]
    type = CappedDruckerPragerStressUpdate
    DP_model = dp
    tensile_strength = ts
    compressive_strength = cs
    yield_function_tol = 1E-8
    tip_smoother = 4
    smoothing_tol = 1E-5
  [../]
[]
[Executioner]
  end_time = 100
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform2_outer_tip
  exodus = false
  [./csv]
    type = CSV
  [../]
[]
(modules/tensor_mechanics/test/tests/tensile/planar1.i)
# checking for small deformation
# A single element is stretched by 1E-6m in z direction, and by small amounts in x and y directions
# stress_zz = Youngs Modulus*Strain = 2E6*1E-6 = 2 Pa
# tensile_strength is set to 1Pa
# Then the final stress should return to the yeild surface and the maximum principal stress value should be 1pa, and value of plastic strain should be 0.5E-6
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    incremental = true
    strain = finite
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0.1E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0.2E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1.0E-6*z'
  [../]
[]
[AuxVariables]
  [./f0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./f0_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f0
  [../]
  [./f1_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f1
  [../]
  [./f2_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f2
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./intnl_auxk]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = intnl
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = f0
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = f1
  [../]
  [./f2]
    type = PointValue
    point = '0 0 0'
    variable = f2
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
  [./intnl]
    type = PointValue
    point = '0 0 0'
    variable = intnl
  [../]
[]
[UserObjects]
  [./hard]
    type = TensorMechanicsHardeningConstant
    value = 1
  [../]
  [./tens]
    type = TensorMechanicsPlasticTensileMulti
    tensile_strength = hard
    shift = 1E-6
    yield_function_tolerance = 1E-6
    internal_constraint_tolerance = 1E-5
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E6'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-5
    plastic_models = tens
    debug_fspb = crash
    debug_jac_at_stress = '1 2 3 2 -4 -5 3 -5 10'
    debug_jac_at_pm = '0.1 0.2 0.3'
    debug_jac_at_intnl = 1E-6
    debug_stress_change = 1E-6
    debug_pm_change = '1E-6 1E-6 1E-6'
    debug_intnl_change = 1E-6
  [../]
[]
[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = planar1
  exodus = false
  [./csv]
    type = CSV
    [../]
[]
(modules/porous_flow/test/tests/plastic_heating/shear01.i)
# Tensile heating, using capped weak-plane plasticity
# x_disp(z=1) = t
# totalstrain_xz = t
# with C_ijkl = 0.5 0.25
# stress_zx = stress_xz = 0.25*t, so q=0.25*t, but
# with cohesion=1 and tan(phi)=1: max(q)=1.  With tan(psi)=0,
# the plastic return is always to (p, q) = (0, 1),
# so plasticstrain_zx = max(t - 4, 0)
# heat_energy_rate = coeff * (t - 4) for t>4
# Heat capacity of rock = specific_heat_cap * density = 4
# So temperature of rock should be:
# (1 - porosity) * 4 * T = (1 - porosity) * coeff * (t - 4)
[Mesh]
  type = GeneratedMesh
  dim = 3
  xmin = -10
  xmax = 10
  zmin = 0
  zmax = 1
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  PorousFlowDictator = dictator
[]
[Variables]
  [temperature]
  []
[]
[Kernels]
  [energy_dot]
    type = PorousFlowEnergyTimeDerivative
    variable = temperature
  []
  [phe]
    type = PorousFlowPlasticHeatEnergy
    variable = temperature
    coeff = 8
  []
[]
[AuxVariables]
  [disp_x]
  []
  [disp_y]
  []
  [disp_z]
  []
[]
[AuxKernels]
  [disp_x]
    type = FunctionAux
    variable = disp_x
    function = 'z*t'
  []
[]
[UserObjects]
  [dictator]
    type = PorousFlowDictator
    porous_flow_vars = temperature
    number_fluid_phases = 0
    number_fluid_components = 0
  []
  [coh]
    type = TensorMechanicsHardeningConstant
    value = 1
  []
  [tanphi]
    type = TensorMechanicsHardeningConstant
    value = 1.0
  []
  [tanpsi]
    type = TensorMechanicsHardeningConstant
    value = 0.0
  []
  [t_strength]
    type = TensorMechanicsHardeningConstant
    value = 10
  []
  [c_strength]
    type = TensorMechanicsHardeningConstant
    value = 10
  []
[]
[Materials]
  [rock_internal_energy]
    type = PorousFlowMatrixInternalEnergy
    specific_heat_capacity = 2
    density = 2
  []
  [temp]
    type = PorousFlowTemperature
    temperature = temperature
  []
  [porosity]
    type = PorousFlowPorosityConst
    porosity = 0.7
  []
  [phe]
    type = ComputePlasticHeatEnergy
  []
  [elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '0.5 0.25'
  []
  [strain]
    type = ComputeIncrementalSmallStrain
    displacements = 'disp_x disp_y disp_z'
  []
  [admissible]
    type = ComputeMultipleInelasticStress
    inelastic_models = mc
    perform_finite_strain_rotations = false
  []
  [mc]
    type = CappedWeakPlaneStressUpdate
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    tensile_strength = t_strength
    compressive_strength = c_strength
    tip_smoother = 0
    smoothing_tol = 1
    yield_function_tol = 1E-10
    perfect_guess = true
  []
[]
[Postprocessors]
  [temp]
    type = PointValue
    point = '0 0 0'
    variable = temperature
  []
[]
[Preconditioning]
  [andy]
    type = SMP
    full = true
    petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it'
    petsc_options_value = 'bcgs bjacobi 1E-15 1E-10 10000'
  []
[]
[Executioner]
  type = Transient
  solve_type = Newton
  dt = 1
  end_time = 10
[]
[Outputs]
  file_base = shear01
  csv = true
[]
(modules/tensor_mechanics/test/tests/mohr_coulomb/planar1.i)
# apply uniform stretch in x, y and z directions.
# With cohesion = 10, friction_angle = 60deg, the
# algorithm should return to
# sigma_m = 10*Cos(60)/Sin(60) = 5.773503
# using planar surfaces (not smoothed)
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '1E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '1.1E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1.2E-6*z'
  [../]
[]
[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./f]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = f
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = f
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
[]
[UserObjects]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 10
  [../]
  [./phi]
    type = TensorMechanicsHardeningConstant
    value = 1.04719756
  [../]
  [./psi]
    type = TensorMechanicsHardeningConstant
    value = 0.1
  [../]
  [./mc]
    type = TensorMechanicsPlasticMohrCoulombMulti
    cohesion = coh
    friction_angle = phi
    dilation_angle = psi
    yield_function_tolerance = 1E-3
    shift = 1E-12
    internal_constraint_tolerance = 1E-9
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-10
    deactivation_scheme = safe
    plastic_models = mc
    debug_fspb = crash
    debug_jac_at_stress = '10 0 0 0 10 0 0 0 10'
    debug_jac_at_pm = 1
    debug_jac_at_intnl = 1
    debug_stress_change = 1E-5
    debug_pm_change = 1E-6
    debug_intnl_change = 1E-6
  [../]
[]
[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = planar1
  exodus = false
  [./csv]
    type = CSV
    [../]
[]
(modules/tensor_mechanics/test/tests/capped_weak_plane/except3.i)
# Exception: incorrect userobject types
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    incremental = true
  [../]
[]
[UserObjects]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 1
  [../]
  [./tanphi]
    type = TensorMechanicsHardeningConstant
    value = 0.05
  [../]
  [./tanpsi]
    type = TensorMechanicsHardeningConstant
    value = 0.1111077
  [../]
  [./t_strength]
    type = TensorMechanicsHardeningConstant
    value = 1
  [../]
  [./c_strength]
    type = TensorMechanicsHardeningConstant
    value = 2
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E6'
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    inelastic_models = stress
    perform_finite_strain_rotations = false
  [../]
  [./stress]
    type = CappedWeakPlaneStressUpdate
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    tensile_strength = t_strength
    compressive_strength = c_strength
    tip_smoother = 0
    smoothing_tol = 1
    yield_function_tol = 1E-5
  [../]
[]
[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]
(modules/tensor_mechanics/test/tests/weak_plane_shear/small_deform1.i)
# deformations are applied so that the trial stress is
# shear = 10, normalstress = 2
#
# Cohesion is chosen to be 1, and friction angle = 26.565, so tan(friction_angle) = 1/2
# This means that (shear, normalstress) = (0, 2) is the apex
# of the shear envelope
#
# Poisson's ratio is chosen to be zero, and Lame mu = 1E6,
# so the return must solve
# f = 0
# shear = shear_trial - (1/2)*mu*ga = 10 - 0.5E6*ga
# normalstress = normalstress - mu*tan(dilation)*ga
#
# Finally, tan(dilation) = 2/18 is chosen.
#
# Then the returned value should have
# shear = 1, normalstress = 0
#
# Here shear = sqrt(s_yz^2 + s_xz^2)
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./x_disp]
  [../]
  [./y_disp]
  [../]
  [./z_disp]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'x_disp y_disp z_disp'
  [../]
[]
[BCs]
  [./bottomx]
    type = DirichletBC
    variable = x_disp
    boundary = back
    value = 0.0
  [../]
  [./bottomy]
    type = DirichletBC
    variable = y_disp
    boundary = back
    value = 0.0
  [../]
  [./bottomz]
    type = DirichletBC
    variable = z_disp
    boundary = back
    value = 0.0
  [../]
  [./topx]
    type = DirichletBC
    variable = x_disp
    boundary = front
    value = 8E-6
  [../]
  [./topy]
    type = DirichletBC
    variable = y_disp
    boundary = front
    value = 6E-6
  [../]
  [./topz]
    type = DirichletBC
    variable = z_disp
    boundary = front
    value = 1E-6
  [../]
[]
[AuxVariables]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_zx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zx
    index_i = 2
    index_j = 0
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = yield_fcn
  [../]
[]
[Postprocessors]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]
[UserObjects]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 1
  [../]
  [./tanphi]
    type = TensorMechanicsHardeningConstant
    value = 0.5
  [../]
  [./tanpsi]
    type = TensorMechanicsHardeningConstant
    value = 0.1111077
  [../]
  [./wps]
    type = TensorMechanicsPlasticWeakPlaneShear
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    smoother = 0
    yield_function_tolerance = 1E-6
    internal_constraint_tolerance = 1E-6
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E6'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'x_disp y_disp z_disp'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    plastic_models = wps
    transverse_direction = '0 0 1'
    ep_plastic_tolerance = 1E-5
    debug_fspb = crash
  [../]
[]
[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform1
  exodus = true
  [./csv]
    type = CSV
    [../]
[]
(modules/tensor_mechanics/test/tests/mohr_coulomb/planar_hard5.i)
# apply repeated stretches in z direction, and smaller stretches along the y direction, and compression along x direction
# Both return to the plane and edge (lode angle = 30deg, ie 010100) are experienced.
#
# It is checked that the yield functions are less than their tolerance values
# It is checked that the cohesion hardens correctly
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '-1E-6*x*t'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0.05E-6*y*t'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z*t'
  [../]
[]
[Functions]
  [./should_be_zero_fcn]
    type = ParsedFunction
    value = 'if((a<1E-5)&(b<1E-5)&(c<1E-5)&(d<1E-5)&(g<1E-5)&(h<1E-5),0,abs(a)+abs(b)+abs(c)+abs(d)+abs(g)+abs(h))'
    vars = 'a b c d g h'
    vals = 'f0 f1 f2 f3 f4 f5'
  [../]
  [./coh_analytic]
    type = ParsedFunction
    value = '20-10*exp(-1E6*intnl)'
    vars = intnl
    vals = internal
  [../]
  [./coh_from_yieldfcns]
    type = ParsedFunction
    value = '(f0+f1-(sxx+syy)*sin(phi))/(-2)/cos(phi)'
    vars = 'f0 f1 sxx syy phi'
    vals = 'f0 f1 s_xx s_yy 0.8726646'
  [../]
  [./should_be_zero_coh]
    type = ParsedFunction
    value = 'if(abs(a-b)<1E-6,0,1E6*abs(a-b))'
    vars = 'a b'
    vals = 'Coh_analytic Coh_moose'
  [../]
[]
[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mc_int]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn3]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn4]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn5]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./mc_int_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_internal_parameter
    variable = mc_int
  [../]
  [./yield_fcn0]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn0
  [../]
  [./yield_fcn1]
    type = MaterialStdVectorAux
    index = 1
    property = plastic_yield_function
    variable = yield_fcn1
  [../]
  [./yield_fcn2]
    type = MaterialStdVectorAux
    index = 2
    property = plastic_yield_function
    variable = yield_fcn2
  [../]
  [./yield_fcn3]
    type = MaterialStdVectorAux
    index = 3
    property = plastic_yield_function
    variable = yield_fcn3
  [../]
  [./yield_fcn4]
    type = MaterialStdVectorAux
    index = 4
    property = plastic_yield_function
    variable = yield_fcn4
  [../]
  [./yield_fcn5]
    type = MaterialStdVectorAux
    index = 5
    property = plastic_yield_function
    variable = yield_fcn5
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./internal]
    type = PointValue
    point = '0 0 0'
    variable = mc_int
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn0
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn1
  [../]
  [./f2]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn2
  [../]
  [./f3]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn3
  [../]
  [./f4]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn4
  [../]
  [./f5]
   type = PointValue
    point = '0 0 0'
    variable = yield_fcn5
  [../]
  [./yfcns_should_be_zero]
    type = FunctionValuePostprocessor
    function = should_be_zero_fcn
  [../]
  [./Coh_analytic]
    type = FunctionValuePostprocessor
    function = coh_analytic
  [../]
  [./Coh_moose]
    type = FunctionValuePostprocessor
    function = coh_from_yieldfcns
  [../]
  [./cohesion_difference_should_be_zero]
    type = FunctionValuePostprocessor
    function = should_be_zero_coh
  [../]
[]
[UserObjects]
  [./mc_coh]
    type = TensorMechanicsHardeningExponential
    value_0 = 10
    value_residual = 20
    rate = 1E6
  [../]
  [./mc_phi]
    type = TensorMechanicsHardeningConstant
    value = 0.8726646
  [../]
  [./mc_psi]
    type = TensorMechanicsHardeningConstant
    value = 1 #0.8726646 # 50deg
  [../]
  [./mc]
    type = TensorMechanicsPlasticMohrCoulombMulti
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    use_custom_returnMap = true
    yield_function_tolerance = 1E-5
    internal_constraint_tolerance = 1E-9
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-12
    plastic_models = mc
  [../]
[]
[Executioner]
  end_time = 5
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = planar_hard5
  exodus = false
  [./csv]
    type = CSV
    hide = 'f0 f1 f2 f3 f4 f5 s_xy s_xz s_yz Coh_analytic Coh_moose'
    execute_on = 'timestep_end'
  [../]
[]
(modules/tensor_mechanics/test/tests/capped_weak_plane/small_deform4.i)
# Plastic deformation, compression failure
# With Young = 10, poisson=0.25 (Lame lambda=4, mu=4)
# applying the following
# deformation to the zmax surface of a unit cube:
# disp_x = 4*t
# disp_y = 3*t
# disp_z = -t
# should yield trial stress:
# stress_zz = 12*t
# stress_zx = 16*t
# stress_zy = -12*t
# Use compressive strength = 6, we should return to stress_zz = -6,
# and stress_xx = stress_yy = -2*t up to t=1 when the system is completely
# plastic, so these stress components will not change
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz plastic_strain_xx plastic_strain_xy plastic_strain_xz plastic_strain_yy plastic_strain_yz plastic_strain_zz strain_xx strain_xy strain_xz strain_yy strain_yz strain_zz'
  [../]
[]
[BCs]
  [./bottomx]
    type = DirichletBC
    variable = disp_x
    boundary = back
    value = 0.0
  [../]
  [./bottomy]
    type = DirichletBC
    variable = disp_y
    boundary = back
    value = 0.0
  [../]
  [./bottomz]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0.0
  [../]
  [./topx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = front
    function = 4*t
  [../]
  [./topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = front
    function = 3*t
  [../]
  [./topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = -t
  [../]
[]
[AuxVariables]
  [./f_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_compressive]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./ls]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./f_shear]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f_shear
  [../]
  [./f_tensile]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f_tensile
  [../]
  [./f_compressive]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f_compressive
  [../]
  [./intnl_shear]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = intnl_shear
  [../]
  [./intnl_tensile]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 1
    variable = intnl_tensile
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./ls]
    type = MaterialRealAux
    property = plastic_linesearch_needed
    variable = ls
  [../]
[]
[Postprocessors]
  [./stress_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./stress_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./stress_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./stress_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./stress_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./stress_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./strainp_xx]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_xx
  [../]
  [./strainp_xy]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_xy
  [../]
  [./strainp_xz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_xz
  [../]
  [./strainp_yy]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_yy
  [../]
  [./strainp_yz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_yz
  [../]
  [./strainp_zz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_zz
  [../]
  [./straint_xx]
    type = PointValue
    point = '0 0 0'
    variable = strain_xx
  [../]
  [./straint_xy]
    type = PointValue
    point = '0 0 0'
    variable = strain_xy
  [../]
  [./straint_xz]
    type = PointValue
    point = '0 0 0'
    variable = strain_xz
  [../]
  [./straint_yy]
    type = PointValue
    point = '0 0 0'
    variable = strain_yy
  [../]
  [./straint_yz]
    type = PointValue
    point = '0 0 0'
    variable = strain_yz
  [../]
  [./straint_zz]
    type = PointValue
    point = '0 0 0'
    variable = strain_zz
  [../]
  [./f_shear]
    type = PointValue
    point = '0 0 0'
    variable = f_shear
  [../]
  [./f_tensile]
    type = PointValue
    point = '0 0 0'
    variable = f_tensile
  [../]
  [./f_compressive]
    type = PointValue
    point = '0 0 0'
    variable = f_compressive
  [../]
  [./intnl_shear]
    type = PointValue
    point = '0 0 0'
    variable = intnl_shear
  [../]
  [./intnl_tensile]
    type = PointValue
    point = '0 0 0'
    variable = intnl_tensile
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
  [./ls]
    type = PointValue
    point = '0 0 0'
    variable = ls
  [../]
[]
[UserObjects]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 80
  [../]
  [./tanphi]
    type = TensorMechanicsHardeningConstant
    value = 0.5
  [../]
  [./tanpsi]
    type = TensorMechanicsHardeningConstant
    value = 0.1111077
  [../]
  [./t_strength]
    type = TensorMechanicsHardeningConstant
    value = 6
  [../]
  [./c_strength]
    type = TensorMechanicsHardeningConstant
    value = 6
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '4 4'
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    inelastic_models = stress
    perform_finite_strain_rotations = false
  [../]
  [./stress]
    type = CappedWeakPlaneStressUpdate
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    tensile_strength = t_strength
    compressive_strength = c_strength
    tip_smoother = 0
    smoothing_tol = 0
    yield_function_tol = 1E-5
  [../]
[]
[Executioner]
  end_time = 2
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform4
  csv = true
[]
(modules/tensor_mechanics/test/tests/capped_mohr_coulomb/small_deform18.i)
# Using CappedMohrCoulomb with compressive failure only
# A single unit element is stretched by -1E-6m in z direction.
# with Lame lambda = 0.6E6 and Lame mu (shear) = 1E6
# stress_zz = -2.6 Pa
# stress_xx = -0.6 Pa
# stress_yy = -0.6 Pa
# compressive_strength is set to 0.5Pa
#
# stress_zz = -0.5
# plastic multiplier = 2.1/2.6 E-6
# stress_xx = -0.6 - (2.1/2.6*-0.6) = -0.115
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'max_principal_stress mid_principal_stress min_principal_stress stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '-1.0E-6*z'
  [../]
[]
[AuxVariables]
  [./f0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./f0_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f0
  [../]
  [./f1_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f1
  [../]
  [./f2_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f2
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./intnl_auxk]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = intnl
  [../]
[]
[Postprocessors]
  [./s_I]
    type = PointValue
    point = '0 0 0'
    variable = max_principal_stress
  [../]
  [./s_II]
    type = PointValue
    point = '0 0 0'
    variable = mid_principal_stress
  [../]
  [./s_III]
    type = PointValue
    point = '0 0 0'
    variable = min_principal_stress
  [../]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = f0
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = f1
  [../]
  [./f2]
    type = PointValue
    point = '0 0 0'
    variable = f2
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
  [./intnl]
    type = PointValue
    point = '0 0 0'
    variable = intnl
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./cs]
    type = TensorMechanicsHardeningConstant
    value = 0.5
  [../]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./ang]
    type = TensorMechanicsHardeningConstant
    value = 0.5
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '0.6E6 1E6'
  [../]
  [./tensile]
    type = CappedMohrCoulombStressUpdate
    tensile_strength = ts
    compressive_strength = cs
    cohesion = coh
    friction_angle = ang
    dilation_angle = ang
    smoothing_tol = 0.0
    yield_function_tol = 1.0E-12
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = tensile
    perform_finite_strain_rotations = false
  [../]
[]
[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform18
  csv = true
[]
(modules/tensor_mechanics/test/tests/jacobian/cto19.i)
# DruckerPragerHyperbolic
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  block = 0
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[UserObjects]
  [./mc_coh]
    type = TensorMechanicsHardeningConstant
    value = 10
  [../]
  [./phi]
    type = TensorMechanicsHardeningConstant
    value = 0.8
  [../]
  [./psi]
    type = TensorMechanicsHardeningConstant
    value = 0.4
  [../]
  [./dp]
    type = TensorMechanicsPlasticDruckerPragerHyperbolic
    mc_cohesion = mc_coh
    mc_friction_angle = phi
    mc_dilation_angle = psi
    smoother = 1
    yield_function_tolerance = 1E-11
    internal_constraint_tolerance = 1E-9
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0.7 1'
  [../]
  [./strain]
    type = ComputeIncrementalSmallStrain
    displacements = 'disp_x disp_y disp_z'
    eigenstrain_names = ini_stress
  [../]
  [./ini_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = '10 0 0  0 10 0  0 0 10'
    eigenstrain_name = ini_stress
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    ep_plastic_tolerance = 1E-11
    plastic_models = dp
    tangent_operator = nonlinear
    min_stepsize = 1
  [../]
[]
[Preconditioning]
  [./andy]
    type = SMP
    full = true
    petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it -snes_type'
    petsc_options_value = 'bcgs bjacobi 1E-15 1E-10 10000 test'
  [../]
[]
[Executioner]
  type = Transient
  solve_type = Newton
[]
(modules/tensor_mechanics/test/tests/multiple_two_parameter_plasticity/cycled_dp_then_wp.i)
# Use ComputeMultipleInelasticStress with two inelastic models: CappedDruckerPrager and CappedWeakPlane.
# The relative_tolerance and absolute_tolerance parameters are set very large so that
# only one iteration is performed.  This is the algorithm that FLAC uses to model
# jointed rocks, only Capped-Mohr-Coulomb is used instead of CappedDruckerPrager
#
# In this test "cycle_models=true" so that in the first timestep only
# CappedDruckerPrager is used, while in the second timestep only
# CappedWeakPlane is used.
#
# initial_stress = diag(1E3, 1E3, 1E3)
# The CappedDruckerPrager has tensile strength 3E2 and large cohesion,
# so the stress initially returns to diag(1E2, 1E2, 1E2)
# The CappedWeakPlane has tensile strength zero and large cohesion,
# so the stress returns to diag(1E2 - v/(1-v)*1E2, 1E2 - v/(1-v)*1E2, 0)
# where v=0.2 is the Poisson's ratio
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    incremental = true
    eigenstrain_names = ini_stress
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = 0
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = 0
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = 0
  [../]
[]
[AuxVariables]
  [./yield_fcn_dp]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn_wp]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./tensile_cdp]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./tensile_cwp]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./yield_fcn_dp_auxk]
    type = MaterialStdVectorAux
    index = 1    # this is the tensile yield function - it should be zero
    property = cdp_plastic_yield_function
    variable = yield_fcn_dp
  [../]
  [./yield_fcn_wp_auxk]
    type = MaterialStdVectorAux
    index = 1    # this is the tensile yield function - it should be zero
    property = cwp_plastic_yield_function
    variable = yield_fcn_wp
  [../]
  [./tensile_cdp]
    type = MaterialStdVectorAux
    index = 1
    property = cdp_plastic_internal_parameter
    variable = tensile_cdp
  [../]
  [./tensile_cwp]
    type = MaterialStdVectorAux
    index = 1
    property = cwp_plastic_internal_parameter
    variable = tensile_cwp
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./i_cdp]
    type = PointValue
    point = '0 0 0'
    variable = tensile_cdp
  [../]
  [./i_cwp]
    type = PointValue
    point = '0 0 0'
    variable = tensile_cwp
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 300
  [../]
  [./cs]
    type = TensorMechanicsHardeningConstant
    value = 1E4
  [../]
  [./mc_coh]
    type = TensorMechanicsHardeningConstant
    value = 1E4
  [../]
  [./mc_phi]
    type = TensorMechanicsHardeningConstant
    value = 20
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = TensorMechanicsHardeningConstant
    value = 0
  [../]
  [./dp]
    type = TensorMechanicsPlasticDruckerPrager
    mc_cohesion = mc_coh
    mc_friction_angle = mc_phi
    mc_dilation_angle = mc_psi
    internal_constraint_tolerance = 1 # irrelevant here
    yield_function_tolerance = 1      # irrelevant here
  [../]
  [./wp_coh]
    type = TensorMechanicsHardeningConstant
    value = 1E4
  [../]
  [./wp_tanphi]
    type = TensorMechanicsHardeningConstant
    value = 0.5
  [../]
  [./wp_tanpsi]
    type = TensorMechanicsHardeningConstant
    value = 0.1111077
  [../]
  [./wp_t_strength]
    type = TensorMechanicsHardeningConstant
    value = 0
  [../]
  [./wp_c_strength]
    type = TensorMechanicsHardeningConstant
    value = 1E4
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    poissons_ratio = 0.2
    youngs_modulus = 1.0
  [../]
  [./ini_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = '1E3 0 0  0 1E3 0  0 0 1E3'
    eigenstrain_name = ini_stress
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    relative_tolerance = 1E4
    absolute_tolerance = 2
    inelastic_models = 'cdp cwp'
    perform_finite_strain_rotations = false
    cycle_models = true
  [../]
  [./cdp]
    type = CappedDruckerPragerStressUpdate
    base_name = cdp
    DP_model = dp
    tensile_strength = ts
    compressive_strength = cs
    yield_function_tol = 1E-5
    tip_smoother = 1E3
    smoothing_tol = 1E3
  [../]
  [./cwp]
    type = CappedWeakPlaneStressUpdate
    base_name = cwp
    cohesion = wp_coh
    tan_friction_angle = wp_tanphi
    tan_dilation_angle = wp_tanpsi
    tensile_strength = wp_t_strength
    compressive_strength = wp_c_strength
    tip_smoother = 1E3
    smoothing_tol = 1E3
    yield_function_tol = 1E-5
  [../]
[]
[Executioner]
  end_time = 2
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = cycled_dp_then_wp
  csv = true
[]
(modules/tensor_mechanics/test/tests/jacobian/mc_update24_cosserat.i)
# Cosserat version of Capped Mohr Columb (using StressUpdate)
# Tensile + shear failure, starting from a non-symmetric stress state
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  Cosserat_rotations = 'wc_x wc_y wc_z'
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
  [./wc_x]
  [../]
  [./wc_y]
  [../]
[]
[Kernels]
  [./cx_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_x
    component = 0
  [../]
  [./cy_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_y
    component = 1
  [../]
  [./cz_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_z
    component = 2
  [../]
  [./x_couple]
    type = StressDivergenceTensors
    variable = wc_x
    displacements = 'wc_x wc_y wc_z'
    component = 0
    base_name = couple
  [../]
  [./y_couple]
    type = StressDivergenceTensors
    variable = wc_y
    displacements = 'wc_x wc_y wc_z'
    component = 1
    base_name = couple
  [../]
  [./x_moment]
    type = MomentBalancing
    variable = wc_x
    component = 0
  [../]
  [./y_moment]
    type = MomentBalancing
    variable = wc_y
    component = 1
  [../]
[]
[AuxVariables]
  [./wc_z]
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 1E2
  [../]
  [./cs]
    type = TensorMechanicsHardeningConstant
    value = 1E8
  [../]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 4E1
  [../]
  [./phi]
    type = TensorMechanicsHardeningConstant
    value = 35
    convert_to_radians = true
  [../]
  [./psi]
    type = TensorMechanicsHardeningConstant
    value = 5
    convert_to_radians = true
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeLayeredCosseratElasticityTensor
    young = 1E3
    poisson = 0.25
    layer_thickness = 1.0
    joint_normal_stiffness = 2.0E3
    joint_shear_stiffness = 1.0E3
  [../]
  [./strain]
    type = ComputeCosseratIncrementalSmallStrain
    eigenstrain_names = ini_stress
  [../]
  [./ini_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = '100.1 0.1 -0.2  0.1 0.9 0  -0.2 0 1.1'
    eigenstrain_name = ini_stress
  [../]
  [./cmc]
    type = CappedMohrCoulombCosseratStressUpdate
    host_youngs_modulus = 1E3
    host_poissons_ratio = 0.25
    tensile_strength = ts
    compressive_strength = cs
    cohesion = coh
    friction_angle = phi
    dilation_angle = psi
    smoothing_tol = 0.5
    yield_function_tol = 1.0E-12
  [../]
  [./stress]
    type = ComputeMultipleInelasticCosseratStress
    inelastic_models = cmc
    perform_finite_strain_rotations = false
  [../]
[]
[Preconditioning]
  [./andy]
    type = SMP
    full = true
    petsc_options_iname = '-snes_type'
    petsc_options_value = 'test'
  [../]
[]
[Executioner]
  type = Transient
  solve_type = Newton
[]
(modules/tensor_mechanics/test/tests/capped_mohr_coulomb/small_deform_hard22.i)
# Mohr-Coulomb only
# apply stretches in x direction and smaller stretches in the y direction
# to observe return to the MC plane
# This tests uses hardening of the friction and dilation angles.  The returned configuration
# should obey
# 0 = 0.5 * (Smax - Smin) + 0.5 * (Smax + Smin) * sin(phi) - C cos(phi)
# which allows inference of phi.
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'max_principal_stress mid_principal_stress min_principal_stress'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0.4E-6*x*t'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0.17E-6*y*t'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '0'
  [../]
[]
[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 6
    property = plastic_yield_function
    variable = yield_fcn
  [../]
  [./iter_auxk]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./intnl_auxk]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = intnl
  [../]
  [./intnl_tensile]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 1
    variable = intnl_tensile
  [../]
[]
[Postprocessors]
  [./s_max]
    type = PointValue
    point = '0 0 0'
    variable = max_principal_stress
  [../]
  [./s_mid]
    type = PointValue
    point = '0 0 0'
    variable = mid_principal_stress
  [../]
  [./s_min]
    type = PointValue
    point = '0 0 0'
    variable = min_principal_stress
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
  [./intnl]
    type = PointValue
    point = '0 0 0'
    variable = intnl
  [../]
  [./intnl_tensile]
    type = PointValue
    point = '0 0 0'
    variable = intnl_tensile
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./mc_coh]
    type = TensorMechanicsHardeningConstant
    value = 10
  [../]
  [./mc_phi]
    type = TensorMechanicsHardeningCubic
    value_residual = 0.524 # 30deg
    value_0 = 0.174 # 10deg
    internal_limit = 4E-6
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1E7
    poissons_ratio = 0.0
  [../]
  [./mc]
    type = CappedMohrCoulombStressUpdate
    tensile_strength = ts
    compressive_strength = ts
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_phi
    smoothing_tol = 0
    yield_function_tol = 1.0E-9
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = mc
    perform_finite_strain_rotations = false
  [../]
[]
[Executioner]
  end_time = 9
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform_hard22
  csv = true
[]
(modules/tensor_mechanics/test/tests/j2_plasticity/small_deform2.i)
# UserObject J2 test
# apply uniform stretch in z direction to give
# trial stress_zz = 7, so sqrt(3*J2) = 7
# with zero Poisson's ratio, this should return to
# stress_zz = 3, stress_xx = 2 = stress_yy
# (note that stress_zz - stress_xx = stress_zz - stress_yy = 1, so sqrt(3*j2) = 1,
#  and that the mean stress remains = 7/3)
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '3.5E-6*z'
  [../]
[]
[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./f]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = f
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = f
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
[]
[UserObjects]
  [./str]
    type = TensorMechanicsHardeningConstant
    value = 1
  [../]
  [./j2]
    type = TensorMechanicsPlasticJ2
    yield_strength = str
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-9
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E6'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = j2
    debug_fspb = crash
  [../]
[]
[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform2
  exodus = false
  [./csv]
    type = CSV
    [../]
[]
(modules/tensor_mechanics/test/tests/weak_plane_tensile/small_deform2.i)
# checking for small deformation
# A single element is stretched by 1E-6m in x,y and z directions.
# stress_zz = Youngs Modulus*Strain = 2E6*1E-6 = 2 Pa
# wpt_tensile_strength is set to 5Pa
# Since maximum stress which is 2Pa is less than tension cutoff, plastic yeilding shoud not be observed.
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./x_disp]
  [../]
  [./y_disp]
  [../]
  [./z_disp]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'x_disp y_disp z_disp'
  [../]
[]
[BCs]
  [./bottomx]
    type = DirichletBC
    variable = x_disp
    boundary = back
    value = 0.0
  [../]
  [./bottomy]
    type = DirichletBC
    variable = y_disp
    boundary = back
    value = 0.0
  [../]
  [./bottomz]
    type = DirichletBC
    variable = z_disp
    boundary = back
    value = 0.0
  [../]
  [./topx]
    type = DirichletBC
    variable = x_disp
    boundary = front
    value = 1E-6
  [../]
  [./topy]
    type = DirichletBC
    variable = y_disp
    boundary = front
    value = 1E-6
  [../]
  [./topz]
    type = DirichletBC
    variable = z_disp
    boundary = front
    value = 1E-6
  [../]
[]
[AuxVariables]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_zx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zx
    index_i = 2
    index_j = 0
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = yield_fcn
  [../]
[]
[Postprocessors]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]
[UserObjects]
  [./str]
    type = TensorMechanicsHardeningConstant
    value = 5
  [../]
  [./wpt]
    type = TensorMechanicsPlasticWeakPlaneTensile
    tensile_strength = str
    yield_function_tolerance = 1E-6
    internal_constraint_tolerance = 1E-5
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E6'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'x_disp y_disp z_disp'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    plastic_models = wpt
    transverse_direction = '0 0 1'
    ep_plastic_tolerance = 1E-5
  [../]
[]
[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform2
  exodus = true
  [./csv]
    type = CSV
    [../]
[]
(modules/tensor_mechanics/test/tests/jacobian/cto25.i)
# CappedDruckerPrager
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  block = 0
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 10
  [../]
  [./cs]
    type = TensorMechanicsHardeningConstant
    value = 10
  [../]
  [./mc_coh]
    type = TensorMechanicsHardeningConstant
    value = 10
  [../]
  [./phi]
    type = TensorMechanicsHardeningConstant
    value = 0.8
  [../]
  [./psi]
    type = TensorMechanicsHardeningConstant
    value = 0.4
  [../]
  [./dp]
    type = TensorMechanicsPlasticDruckerPragerHyperbolic
    mc_cohesion = mc_coh
    mc_friction_angle = phi
    mc_dilation_angle = psi
    yield_function_tolerance = 1E-11     # irrelevant here
    internal_constraint_tolerance = 1E-9 # irrelevant here
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    block = 0
    lambda = 0.0
    shear_modulus = 1.0
  [../]
  [./strain]
    type = ComputeIncrementalSmallStrain
    displacements = 'disp_x disp_y disp_z'
    eigenstrain_names = ini_stress
  [../]
  [./ini_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = '6 5 4  5 7 2  4 2 2'
    eigenstrain_name = ini_stress
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    inelastic_models = dp
  [../]
  [./dp]
    type = CappedDruckerPragerStressUpdate
    DP_model = dp
    tensile_strength = ts
    compressive_strength = cs
    yield_function_tol = 1E-11
    tip_smoother = 1
    smoothing_tol = 1
  [../]
[]
[Preconditioning]
  [./andy]
    type = SMP
    full = true
    petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it -snes_type'
    petsc_options_value = 'bcgs bjacobi 1E-15 1E-10 10000 test'
  [../]
[]
[Executioner]
  type = Transient
  solve_type = Newton
[]
(modules/tensor_mechanics/test/tests/capped_mohr_coulomb/small_deform15.i)
# Using CappedMohrCoulomb with compressive failure only
# A single element is incrementally compressed in the z and x directions
# This causes the return direction to be along the hypersurface sigma_I = 0
# and the resulting stresses are checked to lie on the expected yield surface
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'max_principal_stress mid_principal_stress min_principal_stress stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '-2*x*t'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '-0.5*z*(t+1.5*t*t)'
  [../]
[]
[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 3
    variable = yield_fcn
  [../]
[]
[Postprocessors]
  [./s_I]
    type = PointValue
    point = '0 0 0'
    variable = max_principal_stress
  [../]
  [./s_II]
    type = PointValue
    point = '0 0 0'
    variable = mid_principal_stress
  [../]
  [./s_III]
    type = PointValue
    point = '0 0 0'
    variable = min_principal_stress
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./cs]
    type = TensorMechanicsHardeningConstant
    value = 1
  [../]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./ang]
    type = TensorMechanicsHardeningConstant
    value = 0.5
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '0 2.0'
  [../]
  [./tensile]
    type = CappedMohrCoulombStressUpdate
    tensile_strength = ts
    compressive_strength = cs
    cohesion = coh
    friction_angle = ang
    dilation_angle = ang
    smoothing_tol = 0.5
    yield_function_tol = 1.0E-12
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = tensile
    perform_finite_strain_rotations = false
  [../]
[]
[Executioner]
  end_time = 1
  dt = 0.1
  type = Transient
[]
[Outputs]
  file_base = small_deform15
  csv = true
[]
(modules/tensor_mechanics/test/tests/capped_weak_plane/except2.i)
# Exception: incorrect userobject types
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    incremental = true
  [../]
[]
[UserObjects]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 1
  [../]
  [./tanphi]
    type = TensorMechanicsHardeningConstant
    value = 0.5
  [../]
  [./tanpsi]
    type = TensorMechanicsHardeningConstant
    value = -0.1111077
  [../]
  [./t_strength]
    type = TensorMechanicsHardeningConstant
    value = 1
  [../]
  [./c_strength]
    type = TensorMechanicsHardeningConstant
    value = 2
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E6'
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    inelastic_models = stress
    perform_finite_strain_rotations = false
  [../]
  [./stress]
    type = CappedWeakPlaneStressUpdate
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    tensile_strength = t_strength
    compressive_strength = c_strength
    tip_smoother = 0
    smoothing_tol = 1
    yield_function_tol = 1E-5
  [../]
[]
[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]
(modules/tensor_mechanics/test/tests/jacobian/mc_update23_cosserat.i)
# Cosserat version of Capped Mohr Columb (using StressUpdate)
# Tensile + shear failure, starting from a symmetric stress state
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  Cosserat_rotations = 'wc_x wc_y wc_z'
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
  [./wc_x]
  [../]
  [./wc_y]
  [../]
[]
[Kernels]
  [./cx_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_x
    component = 0
  [../]
  [./cy_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_y
    component = 1
  [../]
  [./cz_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_z
    component = 2
  [../]
  [./x_couple]
    type = StressDivergenceTensors
    variable = wc_x
    displacements = 'wc_x wc_y wc_z'
    component = 0
    base_name = couple
  [../]
  [./y_couple]
    type = StressDivergenceTensors
    variable = wc_y
    displacements = 'wc_x wc_y wc_z'
    component = 1
    base_name = couple
  [../]
  [./x_moment]
    type = MomentBalancing
    variable = wc_x
    component = 0
  [../]
  [./y_moment]
    type = MomentBalancing
    variable = wc_y
    component = 1
  [../]
[]
[AuxVariables]
  [./wc_z]
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 1
  [../]
  [./cs]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 4E1
  [../]
  [./phi]
    type = TensorMechanicsHardeningConstant
    value = 35
    convert_to_radians = true
  [../]
  [./psi]
    type = TensorMechanicsHardeningConstant
    value = 5
    convert_to_radians = true
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeLayeredCosseratElasticityTensor
    young = 1
    poisson = 0.25
    layer_thickness = 1.0
    joint_normal_stiffness = 2.0
    joint_shear_stiffness = 1.0
  [../]
  [./strain]
    type = ComputeCosseratIncrementalSmallStrain
    eigenstrain_names = ini_stress
  [../]
  [./ini_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = '10 12 -14.9  12 5 20  -14 20 8'
    eigenstrain_name = ini_stress
  [../]
  [./cmc]
    type = CappedMohrCoulombCosseratStressUpdate
    host_youngs_modulus = 1
    host_poissons_ratio = 0.25
    tensile_strength = ts
    compressive_strength = cs
    cohesion = coh
    friction_angle = phi
    dilation_angle = psi
    smoothing_tol = 0.5
    yield_function_tol = 1.0E-12
  [../]
  [./stress]
    type = ComputeMultipleInelasticCosseratStress
    inelastic_models = cmc
    perform_finite_strain_rotations = false
  [../]
[]
[Preconditioning]
  [./andy]
    type = SMP
    full = true
    petsc_options_iname = '-snes_type'
    petsc_options_value = 'test'
  [../]
[]
[Executioner]
  type = Transient
  solve_type = Newton
[]
(modules/tensor_mechanics/test/tests/jacobian/mc_update21_cosserat.i)
# Cosserat version of Capped Mohr Columb (using StressUpdate)
# Shear failure, starting from a symmetric stress state
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  Cosserat_rotations = 'wc_x wc_y wc_z'
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
  [./wc_x]
  [../]
  [./wc_y]
  [../]
[]
[Kernels]
  [./cx_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_x
    component = 0
  [../]
  [./cy_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_y
    component = 1
  [../]
  [./cz_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_z
    component = 2
  [../]
  [./x_couple]
    type = StressDivergenceTensors
    variable = wc_x
    displacements = 'wc_x wc_y wc_z'
    component = 0
    base_name = couple
  [../]
  [./y_couple]
    type = StressDivergenceTensors
    variable = wc_y
    displacements = 'wc_x wc_y wc_z'
    component = 1
    base_name = couple
  [../]
  [./x_moment]
    type = MomentBalancing
    variable = wc_x
    component = 0
  [../]
  [./y_moment]
    type = MomentBalancing
    variable = wc_y
    component = 1
  [../]
[]
[AuxVariables]
  [./wc_z]
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./cs]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 10
  [../]
  [./phi]
    type = TensorMechanicsHardeningConstant
    value = 60
    convert_to_radians = true
  [../]
  [./psi]
    type = TensorMechanicsHardeningConstant
    value = 5
    convert_to_radians = true
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeLayeredCosseratElasticityTensor
    young = 1
    poisson = 0.25
    layer_thickness = 1.0
    joint_normal_stiffness = 2.0
    joint_shear_stiffness = 1.0
  [../]
  [./strain]
    type = ComputeCosseratIncrementalSmallStrain
    eigenstrain_names = ini_stress
  [../]
  [./ini_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = '3 0 0  0 3 0  0 0 1.5'
    eigenstrain_name = ini_stress
  [../]
  [./cmc]
    type = CappedMohrCoulombCosseratStressUpdate
    host_youngs_modulus = 1
    host_poissons_ratio = 0.25
    tensile_strength = ts
    compressive_strength = cs
    cohesion = coh
    friction_angle = phi
    dilation_angle = psi
    smoothing_tol = 1
    yield_function_tol = 1.0E-12
  [../]
  [./stress]
    type = ComputeMultipleInelasticCosseratStress
    inelastic_models = cmc
    perform_finite_strain_rotations = false
  [../]
[]
[Preconditioning]
  [./andy]
    type = SMP
    full = true
    petsc_options_iname = '-snes_type'
    petsc_options_value = 'test'
  [../]
[]
[Executioner]
  type = Transient
  solve_type = Newton
[]
(modules/tensor_mechanics/test/tests/mean_cap_TC/small_deform2.i)
# apply uniform stretch in x, y and z directions.
# trial_stress(0, 0) = -2
# trial_stress(1, 1) = 6
# trial_stress(2, 2) = 10
# With tensile_strength = 2, the algorithm should return to trace(stress) = 2, or
# stress(0, 0) = -6
# stress(1, 1) = 2
# stress(2, 2) = 6
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '-1E-7*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '3E-7*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '5E-7*z'
  [../]
[]
[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./f]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = f
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = f
  [../]
[]
[UserObjects]
  [./tensile_strength]
    type = TensorMechanicsHardeningConstant
    value = 2
  [../]
  [./compressive_strength]
    type = TensorMechanicsHardeningConstant
    value = -1
  [../]
  [./cap]
    type = TensorMechanicsPlasticMeanCapTC
    tensile_strength = tensile_strength
    compressive_strength = compressive_strength
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-9
    use_custom_returnMap = true
    use_custom_cto = true
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./strain]
    type = ComputeIncrementalSmallStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mean_cap]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = cap
  [../]
[]
[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform2
  exodus = false
  [./csv]
    type = CSV
  [../]
[]
(modules/tensor_mechanics/test/tests/tensile/small_deform4.i)
# checking for small deformation
# A single element is stretched by 0.75E-6m in the z and x directions
# This causes the return direction to be along the hypersurface sigma_I = sigma_II
# tensile_strength is set to 1Pa, tip_smoother = 0, edge_smoother = 25degrees
# Then A + B + C = 0.609965
#
# The final stress should have meanstress = 0.680118 and bar(sigma) = 0.52443, and sigma_zz = sigma_xx = 0.982896
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    incremental = true
    strain = finite
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0.75E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '0.75E-6*z'
  [../]
[]
[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = yield_fcn
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 1
  [../]
  [./mc]
    type = TensorMechanicsPlasticTensile
    tensile_strength = ts
    yield_function_tolerance = 1E-6
    tensile_tip_smoother = 0.0
    internal_constraint_tolerance = 1E-5
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 2.0E6'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-5
    plastic_models = mc
    debug_fspb = crash
  [../]
[]
[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform4
  exodus = false
  [./csv]
    type = CSV
    [../]
[]
(modules/tensor_mechanics/test/tests/mohr_coulomb/planar3.i)
# apply repeated stretches in x z directions, and smaller stretches along the y direction,
# so that sigma_I = sigma_II,
# which means that lode angle = 30deg.
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '1E-6*x*t'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0.25E-6*y*sin(t)'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1.1E-6*z*t'
  [../]
[]
[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./f]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = f
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = f
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
[]
[UserObjects]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 10
  [../]
  [./phi]
    type = TensorMechanicsHardeningConstant
    value = 0.9
  [../]
  [./psi]
    type = TensorMechanicsHardeningConstant
    value = 0.1
  [../]
  [./mc]
    type = TensorMechanicsPlasticMohrCoulombMulti
    cohesion = coh
    friction_angle = phi
    dilation_angle = psi
    yield_function_tolerance = 1E-8
    shift = 1E-8
    internal_constraint_tolerance = 1E-9
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = mc
    deactivation_scheme = safe
    max_NR_iterations = 3
    min_stepsize = 1
    max_stepsize_for_dumb = 1
    debug_fspb = crash
    debug_jac_at_stress = '10 5 2 5 11 -1 2 -1 12'
    debug_jac_at_pm = '1 1 1 1 1 1'
    debug_jac_at_intnl = 1
    debug_stress_change = 1E-5
    debug_pm_change = '1E-6 1E-6 1E-6 1E-6 1E-6 1E-6'
    debug_intnl_change = 1E-6
  [../]
[]
[Executioner]
  end_time = 10
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = planar3
  exodus = false
  [./csv]
    type = CSV
    [../]
[]
(modules/tensor_mechanics/test/tests/capped_mohr_coulomb/small_deform19.i)
# Using CappedMohrCoulomb with compressive failure only
# A single unit element is stretched in a complicated way
# that the trial stress is
#
#  -1.2 -2.0 -0.8
#  -2.0  4.4   0
#  -0.8   0   2.8
#
# This has eigenvalues
# la = {-1.963, 2.89478, 5.06822}
# and eigenvectors
# {0.94197, 0.296077, 0.158214}
# {-0.116245, -0.154456, 0.981137},
# {-0.314929, 0.942593, 0.111075},
#
# The compressive strength is 0.5 and Young=1 and Poisson=0.25.
# The return-map algorithm should return to stress_min = -0.5
# This is an increment of 1.463, so stress_mid and stress_max
# should both increase by 1.463 v/(1-v) = 0.488, giving
# stress_mid = 3.382
# stress_max = 5.556
#
# E_22 = E(1-v)/(1+v)/(1-2v)=1.2 and E_02 = E_22 v/(1-v)
# gamma_shear = ((smax-smin)^trial - (smax-smin)) / (E_22 - E_02)
# = ((2v-1)/(1-v)) * (smin^trial - smin) / (E_22(1 - 2v)/(1-v))
# = -(smin^trial - smin) / E_22
# Using psi = 30deg, sin(psi) = 1/2
# the shear correction to the tensile internal parameter is
# gamma_shear (E_22 + E_20) sin(psi) = gamma_shear E_22 sin(psi) / (1 - v)
# = -(smin^trial - smin) / (1 - v) / 2
# Then the tensile internal parameter is
# (1 - v) * (reduction_of_(max+min)_principal - gamma_shear * E_22 / (1-v) / 2) / E_22
# = -1.829
#
# The final stress is
#
# {0.15, -1.7, -0.65},
# {-1.7, 4.97, 0.046},
# {-0.65, 0.046, 3.3}
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'max_principal_stress mid_principal_stress min_principal_stress stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '-(3*x+2*y+z)'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '-(3*x-4*y)'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '-(x-2*z)'
  [../]
[]
[AuxVariables]
  [./f0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./f0_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f0
  [../]
  [./f1_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f1
  [../]
  [./f2_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f2
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./intnl_auxk]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 1
    variable = intnl
  [../]
[]
[Postprocessors]
  [./s_I]
    type = PointValue
    point = '0 0 0'
    variable = max_principal_stress
  [../]
  [./s_II]
    type = PointValue
    point = '0 0 0'
    variable = mid_principal_stress
  [../]
  [./s_III]
    type = PointValue
    point = '0 0 0'
    variable = min_principal_stress
  [../]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = f0
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = f1
  [../]
  [./f2]
    type = PointValue
    point = '0 0 0'
    variable = f2
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
  [./intnl]
    type = PointValue
    point = '0 0 0'
    variable = intnl
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./cs]
    type = TensorMechanicsHardeningConstant
    value = 0.5
  [../]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./ang]
    type = TensorMechanicsHardeningConstant
    value = 30
    convert_to_radians = true
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1
    poissons_ratio = 0.25
  [../]
  [./tensile]
    type = CappedMohrCoulombStressUpdate
    tensile_strength = ts
    compressive_strength = cs
    cohesion = coh
    friction_angle = ang
    dilation_angle = ang
    smoothing_tol = 0.001
    yield_function_tol = 1.0E-12
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = tensile
    perform_finite_strain_rotations = false
  [../]
[]
[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform19
  csv = true
[]
(modules/tensor_mechanics/test/tests/tensile/small_deform7.i)
# checking for small deformation
# A single element is incrementally stretched in the in the z direction
# This causes the return direction to be along the hypersurface sigma_II = sigma_III,
# and the resulting stresses are checked to lie on the expected yield surface
#
# tensile_strength is set to 1Pa,
# cap smoothing is used with tip_smoother = 0.0, cap_start = 0.5, cap_rate = 2.0
# Lode angle = -30degrees
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    incremental = true
    strain = finite
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '0.25E-6*z*t*t'
  [../]
[]
[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = yield_fcn
  [../]
  [./iter_auxk]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 1
  [../]
  [./mc]
    type = TensorMechanicsPlasticTensile
    tensile_strength = ts
    yield_function_tolerance = 1E-6
    tip_scheme = cap
    tensile_tip_smoother = 0.0
    cap_start = -0.5
    cap_rate = 2
    internal_constraint_tolerance = 1E-5
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 2.0E6'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-5
    max_NR_iterations = 1000
    plastic_models = mc
    debug_fspb = crash
  [../]
[]
[Executioner]
  end_time = 9
  dt = 0.9
  type = Transient
[]
[Outputs]
  file_base = small_deform7
  exodus = false
  [./csv]
    type = CSV
    [../]
[]
(modules/tensor_mechanics/test/tests/jacobian/cwp02.i)
# Capped weak-plane plasticity
# checking jacobian for tensile failure
[Mesh]
  type = GeneratedMesh
  dim = 3
[]
[GlobalParams]
  block = 0
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[UserObjects]
  [./coh]
    type = TensorMechanicsHardeningExponential
    value_0 = 100
    value_residual = 2
    rate = 1
  [../]
  [./tanphi]
    type = TensorMechanicsHardeningExponential
    value_0 = 1.0
    value_residual = 0.5
    rate = 2
  [../]
  [./tanpsi]
    type = TensorMechanicsHardeningExponential
    value_0 = 0.1
    value_residual = 0.05
    rate = 1
  [../]
  [./t_strength]
    type = TensorMechanicsHardeningExponential
    value_0 = 1
    value_residual = 1
    rate = 1
  [../]
  [./c_strength]
    type = TensorMechanicsHardeningConstant
    value = 100
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    lambda = 1.0
    shear_modulus = 2.0
  [../]
  [./strain]
    type = ComputeIncrementalSmallStrain
    displacements = 'disp_x disp_y disp_z'
    eigenstrain_names = ini_stress
  [../]
  [./ini_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = '0 0 0  0 0 0  0 0 2'
    eigenstrain_name = ini_stress
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    inelastic_models = mc
    tangent_operator = nonlinear
  [../]
  [./mc]
    type = CappedWeakPlaneStressUpdate
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    tensile_strength = t_strength
    compressive_strength = c_strength
    max_NR_iterations = 20
    tip_smoother = 1
    smoothing_tol = 2
    yield_function_tol = 1E-10
  [../]
[]
[Preconditioning]
  [./andy]
    type = SMP
    full = true
    #petsc_options = '-snes_test_display'
    petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it -snes_type'
    petsc_options_value = 'bcgs bjacobi 1E-15 1E-10 10000 test'
  [../]
[]
[Executioner]
  type = Transient
  solve_type = Newton
[]
(modules/tensor_mechanics/test/tests/jacobian/mc_update18.i)
# MC update version, with only Compressive with compressive strength = 1MPa and smoothing_tol = 0.1E5
# Lame lambda = 1GPa.  Lame mu = 1.3GPa
# Units in this file are MPa (not Pa)
#
# Start from non-diagonal stress state with softening.
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./cs]
    type = TensorMechanicsHardeningCubic
    value_0 = 1
    value_residual = 0
    internal_limit = 2E-3
  [../]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./ang]
    type = TensorMechanicsHardeningConstant
    value = 30
    convert_to_radians = true
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    lambda = 1.0E3
    shear_modulus = 1.3E3
  [../]
  [./strain]
    type = ComputeIncrementalSmallStrain
    displacements = 'disp_x disp_y disp_z'
    eigenstrain_names = ini_stress
  [../]
  [./ini_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = '-2 1 -0.5  -1 -1.9 0  -0.5 0 -3'
    eigenstrain_name = ini_stress
  [../]
  [./cmc]
    type = CappedMohrCoulombStressUpdate
    tensile_strength = ts
    compressive_strength = cs
    cohesion = coh
    friction_angle = ang
    dilation_angle = ang
    smoothing_tol = 0.1
    yield_function_tol = 1.0E-12
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = cmc
    perform_finite_strain_rotations = false
  [../]
[]
[Preconditioning]
  [./andy]
    type = SMP
    full = true
    petsc_options_iname = '-snes_type'
    petsc_options_value = 'test'
  [../]
[]
[Executioner]
  type = Transient
  solve_type = Newton
[]
(modules/tensor_mechanics/test/tests/j2_plasticity/small_deform3.i)
# UserObject J2 test
# apply uniform compression in x direction to give
# trial stress_xx = -7, so sqrt(3*J2) = 7
# with zero Poisson's ratio, this should return to
# stress_xx = -3, stress_yy = -2 = stress_zz
# (note that stress_xx - stress_yy = stress_xx - stress_zz = -1, so sqrt(3*j2) = 1,
#  and that the mean stress remains = -7/3)
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '-3.5E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '0E-6*z'
  [../]
[]
[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./f]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = f
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = f
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
[]
[UserObjects]
  [./str]
    type = TensorMechanicsHardeningConstant
    value = 1
  [../]
  [./j2]
    type = TensorMechanicsPlasticJ2
    yield_strength = str
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-9
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E6'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = j2
    debug_fspb = crash
  [../]
[]
[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform3
  exodus = false
  [./csv]
    type = CSV
    [../]
[]
(modules/tensor_mechanics/test/tests/mohr_coulomb/planar_hard1.i)
# apply uniform stretches in x, y and z directions.
# let mc_cohesion = 10, mc_cohesion_residual = 2, mc_cohesion_rate =
# With cohesion = C, friction_angle = 60deg, tip_smoother = 4, the
# algorithm should return to
# sigma_m = C*Cos(60)/Sin(60)
# This allows checking of the relationship for C
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '1E-6*x*t'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '1E-6*y*t'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z*t'
  [../]
[]
[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mc_int]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./mc_int_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_internal_parameter
    variable = mc_int
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./internal]
    type = PointValue
    point = '0 0 0'
    variable = mc_int
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]
[UserObjects]
  [./mc_coh]
    type = TensorMechanicsHardeningExponential
    value_0 = 10
    value_residual = 2
    rate = 1E4
  [../]
  [./mc_phi]
    type = TensorMechanicsHardeningConstant
    value = 60
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = TensorMechanicsHardeningConstant
    value = 5
    convert_to_radians = true
  [../]
  [./mc]
    type = TensorMechanicsPlasticMohrCoulombMulti
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    yield_function_tolerance = 1E-5
    use_custom_returnMap = true
    shift = 1E-12
    internal_constraint_tolerance = 1E-9
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0.7E7 1E7'
  [../]
  [./strain]
    type = ComputeIncrementalSmallStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-12
    plastic_models = mc
  [../]
[]
[Executioner]
  end_time = 10
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = planar_hard1
  exodus = false
  [./csv]
    type = CSV
    execute_on = timestep_end
    [../]
[]
(modules/combined/test/tests/j2_plasticity_vs_LSH/necking/j2_hard1_necking.i)
#
[Mesh]
  file = necking_quad4.e
  displacements = 'disp_x disp_y'
[]
[Variables]
  [./disp_x]
    order = FIRST
    family = LAGRANGE
  [../]
  [./disp_y]
    order = FIRST
    family = LAGRANGE
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y'
    use_displaced_mesh = true
#    save_in_disp_x = force_x
    save_in_disp_y = force_y
  [../]
[]
[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strain_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strain_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
#  [./force_x]
#    order = FIRST
#    family = LAGRANGE
#  [../]
  [./force_y]
    order = FIRST
    family = LAGRANGE
  [../]
[]
[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./strain_xx]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = strain_xx
    index_i = 0
    index_j = 0
  [../]
  [./strain_yy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = strain_yy
    index_i = 1
    index_j = 1
  [../]
[]
[BCs]
  [./left]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0.0
  [../]
  [./bottom]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0.0
  [../]
  [./y_top]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = top
    function = 't/5'
  [../]
[]
[UserObjects]
  [./str]
    type = TensorMechanicsHardeningConstant
    value = 2.4e2
  [../]
  [./j2]
    type = TensorMechanicsPlasticJ2
    yield_strength = str
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-9
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 1
    fill_method = symmetric_isotropic
    #with E = 2.1e5 and nu = 0.3
    #changed to SM values using E-nu to Lambda-G
    C_ijkl = '121154 80769.2'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 1
    displacements = 'disp_x disp_y'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 1
    ep_plastic_tolerance = 1E-9
    plastic_models = j2
  [../]
[]
[Executioner]
  end_time = 0.2
  dt = 0.005
  type = Transient
  #Preconditioned JFNK (default)
  solve_type = 'PJFNK'
  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-ksp_gmres_restart'
  petsc_options_value = '101'
  line_search = 'none'
  l_max_its = 100
  nl_max_its = 100
  nl_rel_tol = 1e-12
  nl_abs_tol = 1e-10
  l_tol = 1e-9
[]
[Postprocessors]
  [./stress_xx]
    type = ElementAverageValue
    variable = stress_xx
  [../]
  [./stress_yy]
    type = ElementAverageValue
    variable = stress_yy
  [../]
  [./strain_xx]
    type = ElementAverageValue
    variable = strain_xx
  [../]
  [./strain_yy]
    type = ElementAverageValue
    variable = strain_yy
  [../]
  [./disp_y]
    type = NodalSum
    variable = disp_y
    boundary = top
  [../]
  [./force_y]
    type = NodalSum
    variable = force_y
    boundary = top
  [../]
[]
[Outputs]
  exodus = true
  csv = true
  print_linear_residuals = false
  perf_graph = true
[]
(modules/tensor_mechanics/test/tests/multi/rock1.i)
# Plasticity models:
# Mohr-Coulomb with cohesion = 40MPa, friction angle = 35deg, dilation angle = 10deg
# Tensile with strength = 1MPa
# WeakPlaneShear with cohesion = 1MPa, friction angle = 25deg, dilation angle = 25deg
# WeakPlaneTensile with strength = 0.01MPa
#
# Lame lambda = 1GPa.  Lame mu = 1.3GPa
#
# A line of elements is perturbed randomly, and return to the yield surface at each quadpoint is checked
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1000
  ny = 1234
  nz = 1
  xmin = 0
  xmax = 1000
  ymin = 0
  ymax = 1234
  zmin = 0
  zmax = 1
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[ICs]
  [./x]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_x
  [../]
  [./y]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_y
  [../]
  [./z]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_z
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '0'
  [../]
[]
[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f3]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int3]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./f0]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f0
  [../]
  [./f1]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f1
  [../]
  [./f2]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f2
  [../]
  [./f3]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 3
    variable = f3
  [../]
  [./int0]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 0
    variable = int0
  [../]
  [./int1]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 1
    variable = int1
  [../]
  [./int2]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 2
    variable = int2
  [../]
  [./int3]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 3
    variable = int3
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
[]
[Postprocessors]
  [./raw_f0]
    type = ElementExtremeValue
    variable = f0
    outputs = console
  [../]
  [./raw_f1]
    type = ElementExtremeValue
    variable = f1
    outputs = console
  [../]
  [./raw_f2]
    type = ElementExtremeValue
    variable = f2
    outputs = console
  [../]
  [./raw_f3]
    type = ElementExtremeValue
    variable = f3
    outputs = console
  [../]
  [./iter]
    type = ElementExtremeValue
    variable = iter
    outputs = console
  [../]
  [./f0]
    type = FunctionValuePostprocessor
    function = should_be_zero0_fcn
  [../]
  [./f1]
    type = FunctionValuePostprocessor
    function = should_be_zero1_fcn
  [../]
  [./f2]
    type = FunctionValuePostprocessor
    function = should_be_zero2_fcn
  [../]
  [./f3]
    type = FunctionValuePostprocessor
    function = should_be_zero3_fcn
  [../]
[]
[Functions]
  [./should_be_zero0_fcn]
    type = ParsedFunction
    value = 'if(a<1E-1,0,a)'
    vars = 'a'
    vals = 'raw_f0'
  [../]
  [./should_be_zero1_fcn]
    type = ParsedFunction
    value = 'if(a<1E-1,0,a)'
    vars = 'a'
    vals = 'raw_f1'
  [../]
  [./should_be_zero2_fcn]
    type = ParsedFunction
    value = 'if(a<1E-1,0,a)'
    vars = 'a'
    vals = 'raw_f2'
  [../]
  [./should_be_zero3_fcn]
    type = ParsedFunction
    value = 'if(a<1E-1,0,a)'
    vars = 'a'
    vals = 'raw_f3'
  [../]
[]
[UserObjects]
  [./mc_coh]
    type = TensorMechanicsHardeningConstant
    value = 4E7
  [../]
  [./mc_phi]
    type = TensorMechanicsHardeningConstant
    value = 35
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = TensorMechanicsHardeningConstant
    value = 10
    convert_to_radians = true
  [../]
  [./mc]
    type = TensorMechanicsPlasticMohrCoulomb
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    mc_tip_smoother = 4E6
    yield_function_tolerance = 1.0E-1
    internal_constraint_tolerance = 1.0E-7
  [../]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./tensile]
    type = TensorMechanicsPlasticTensile
    tensile_strength = ts
    tensile_tip_smoother = 1E5
    yield_function_tolerance = 1.0E-1
    internal_constraint_tolerance = 1.0E-7
  [../]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./tanphi]
    type = TensorMechanicsHardeningConstant
    value = 0.46630766
  [../]
  [./tanpsi]
    type = TensorMechanicsHardeningConstant
    value = 0.46630766
  [../]
  [./wps]
    type = TensorMechanicsPlasticWeakPlaneShear
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    smoother = 1E5
    yield_function_tolerance = 1.0E-1
    internal_constraint_tolerance = 1.0E-7
  [../]
  [./str]
    type = TensorMechanicsHardeningConstant
    value = 0.01E6
  [../]
  [./wpt]
    type = TensorMechanicsPlasticWeakPlaneTensile
    tensile_strength = str
    yield_function_tolerance = 1.0E-1
    internal_constraint_tolerance = 1.0E-7
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '1E9 1.3E9'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./multi]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-7
    plastic_models = 'mc tensile wps wpt'
    deactivation_scheme = 'optimized_to_safe_to_dumb'
    max_NR_iterations = 20
    min_stepsize = 1E-4
    max_stepsize_for_dumb = 1E-3
    debug_fspb = crash
    debug_jac_at_stress = '10 0 0 0 10 0 0 0 10'
    debug_jac_at_pm = '1 1 1 1'
    debug_jac_at_intnl = '1 1 1 1'
    debug_stress_change = 1E1
    debug_pm_change = '1E-6 1E-6 1E-6 1E-6'
    debug_intnl_change = '1E-6 1E-6 1E-6 1E-6'
  [../]
[]
[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = rock1
  exodus = false
  [./csv]
    type = CSV
    [../]
[]
(modules/tensor_mechanics/test/tests/capped_drucker_prager/small_deform2_native.i)
# apply repeated stretches in x, y and z directions, so that mean_stress = 0
# This maps out the yield surface in the octahedral plane for zero mean stress
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '-1.5E-6*x+2E-6*x*sin(t)'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '2E-6*y*sin(2*t)'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '-2E-6*z*(sin(t)+sin(2*t))'
  [../]
[]
[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 1000
  [../]
  [./cs]
    type = TensorMechanicsHardeningConstant
    value = 1000
  [../]
  [./mc_coh]
    type = TensorMechanicsHardeningConstant
    value = 10
  [../]
  [./mc_phi]
    type = TensorMechanicsHardeningConstant
    value = 20
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = TensorMechanicsHardeningConstant
    value = 0
  [../]
  [./dp]
    type = TensorMechanicsPlasticDruckerPrager
    mc_cohesion = mc_coh
    mc_friction_angle = mc_phi
    mc_dilation_angle = mc_psi
    mc_interpolation_scheme = native
    internal_constraint_tolerance = 1 # irrelevant here
    yield_function_tolerance = 1      # irrelevant here
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    inelastic_models = cdp
    perform_finite_strain_rotations = false
  [../]
  [./cdp]
    type = CappedDruckerPragerStressUpdate
    DP_model = dp
    tensile_strength = ts
    compressive_strength = cs
    yield_function_tol = 1E-8
    tip_smoother = 4
    smoothing_tol = 1E-5
  [../]
[]
[Executioner]
  end_time = 100
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform2_native
  exodus = false
  [./csv]
    type = CSV
  [../]
[]
(modules/tensor_mechanics/examples/coal_mining/cosserat_elastic.i)
# Strata deformation and fracturing around a coal mine
#
# A 2D geometry is used that simulates a transverse section of
# the coal mine.  The model is actually 3D, but the "x"
# dimension is only 10m long, meshed with 1 element, and
# there is no "x" displacement.  The mine is 400m deep
# and just the roof is studied (0<=z<=400).  The model sits
# between 0<=y<=450.  The excavation sits in 0<=y<=150.  This
# is a "half model": the boundary conditions are such that
# the model simulates an excavation sitting in -150<=y<=150
# inside a model of the region -450<=y<=450.  The
# excavation height is 3m (ie, the excavation lies within
# 0<=z<=3).
#
# Time is meaningless in this example
# as quasi-static solutions are sought at each timestep, but
# the number of timesteps controls the resolution of the
# process.
#
# The boundary conditions for this elastic simulation are:
#  - disp_x = 0 everywhere
#  - disp_y = 0 at y=0 and y=450
#  - disp_z = 0 for y>150
#  - wc_x = 0 at y=0 and y=450.
# That is, rollers on the sides, free at top,
# and prescribed at bottom in the unexcavated portion.
#
# The small strain formulation is used.
#
# All stresses are measured in MPa.  The initial stress is consistent with
# the weight force from density 2500 kg/m^3, ie, stress_zz = -0.025*(300-z) MPa
# where gravity = 10 m.s^-2 = 1E-5 MPa m^2/kg.  The maximum and minimum
# principal horizontal stresses are assumed to be equal to 0.8*stress_zz.
#
# This is an elastic simulation, but the weak-plane and Drucker-Prager
# parameters and AuxVariables may be found below.  They are irrelevant
# in this simulation.  The weak-plane and Drucker-Prager cohesions,
# tensile strengths and compressive strengths have been set very high
#
# Material properties:
# Young's modulus = 8 GPa
# Poisson's ratio = 0.25
# Cosserat layer thickness = 1 m
# Cosserat-joint normal stiffness = large
# Cosserat-joint shear stiffness = 1 GPa
#
[Mesh]
  [generated_mesh]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 1
    xmin = -5
    xmax = 5
    nz = 40
    zmin = 0
    zmax = 403.003
    bias_z = 1.1
    ny = 30 # make this a multiple of 3, so y=150 is at a node
    ymin = 0
    ymax = 450
  []
  [left]
    type = SideSetsAroundSubdomainGenerator
    new_boundary = 11
    normal = '0 -1 0'
    input = generated_mesh
  []
  [right]
    type = SideSetsAroundSubdomainGenerator
    new_boundary = 12
    normal = '0 1 0'
    input = left
  []
  [front]
    type = SideSetsAroundSubdomainGenerator
    new_boundary = 13
    normal = '-1 0 0'
    input = right
  []
  [back]
    type = SideSetsAroundSubdomainGenerator
    new_boundary = 14
    normal = '1 0 0'
    input = front
  []
  [top]
    type = SideSetsAroundSubdomainGenerator
    new_boundary = 15
    normal = '0 0 1'
    input = back
  []
  [bottom]
    type = SideSetsAroundSubdomainGenerator
    new_boundary = 16
    normal = '0 0 -1'
    input = top
  []
  [excav]
    type = SubdomainBoundingBoxGenerator
    block_id = 1
    bottom_left = '-5 0 0'
    top_right = '5 150 3'
    input = bottom
  []
  [roof]
    type = SideSetsBetweenSubdomainsGenerator
    new_boundary = 21
    primary_block = 0
    paired_block = 1
    input = excav
  []
  [hole]
    type = BlockDeletionGenerator
    block = 1
    input = roof
  []
[]
[GlobalParams]
  block = 0
  perform_finite_strain_rotations = false
  displacements = 'disp_x disp_y disp_z'
  Cosserat_rotations = 'wc_x wc_y wc_z'
[]
[Variables]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
  [./wc_x]
  [../]
[]
[Kernels]
  [./cy_elastic]
    type = CosseratStressDivergenceTensors
    use_displaced_mesh = false
    variable = disp_y
    component = 1
  [../]
  [./cz_elastic]
    type = CosseratStressDivergenceTensors
    use_displaced_mesh = false
    variable = disp_z
    component = 2
  [../]
  [./x_couple]
    type = StressDivergenceTensors
    use_displaced_mesh = false
    variable = wc_x
    displacements = 'wc_x wc_y wc_z'
    component = 0
    base_name = couple
  [../]
  [./x_moment]
    type = MomentBalancing
    use_displaced_mesh = false
    variable = wc_x
    component = 0
  [../]
  [./gravity]
    type = Gravity
    use_displaced_mesh = false
    variable = disp_z
    value = -10E-6 # remember this is in MPa
  [../]
[]
[AuxVariables]
  [./disp_x]
  [../]
  [./wc_y]
  [../]
  [./wc_z]
  [../]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./dp_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./dp_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./wp_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./wp_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./wp_shear_f]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./wp_tensile_f]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./dp_shear_f]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./dp_tensile_f]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yx
    index_i = 1
    index_j = 0
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zx
    index_i = 2
    index_j = 0
  [../]
  [./stress_zy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zy
    index_i = 2
    index_j = 1
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./dp_shear]
    type = MaterialStdVectorAux
    index = 0
    property = dp_plastic_internal_parameter
    variable = dp_shear
  [../]
  [./dp_tensile]
    type = MaterialStdVectorAux
    index = 1
    property = dp_plastic_internal_parameter
    variable = dp_tensile
  [../]
  [./wp_shear]
    type = MaterialStdVectorAux
    index = 0
    property = wp_plastic_internal_parameter
    variable = wp_shear
  [../]
  [./wp_tensile]
    type = MaterialStdVectorAux
    index = 1
    property = wp_plastic_internal_parameter
    variable = wp_tensile
  [../]
  [./dp_shear_f]
    type = MaterialStdVectorAux
    index = 0
    property = dp_plastic_yield_function
    variable = dp_shear_f
  [../]
  [./dp_tensile_f]
    type = MaterialStdVectorAux
    index = 1
    property = dp_plastic_yield_function
    variable = dp_tensile_f
  [../]
  [./wp_shear_f]
    type = MaterialStdVectorAux
    index = 0
    property = wp_plastic_yield_function
    variable = wp_shear_f
  [../]
  [./wp_tensile_f]
    type = MaterialStdVectorAux
    index = 1
    property = wp_plastic_yield_function
    variable = wp_tensile_f
  [../]
[]
[BCs]
  [./no_y]
    type = DirichletBC
    variable = disp_y
    boundary = '11 12'
    value = 0.0
  [../]
  [./no_z]
    type = DirichletBC
    variable = disp_z
    boundary = '16'
    value = 0.0
  [../]
  [./no_wc_x]
    type = DirichletBC
    variable = wc_x
    boundary = '11 12'
    value = 0.0
  [../]
[]
[Functions]
  [./ini_xx]
    type = ParsedFunction
    value = '-0.8*2500*10E-6*(403.003-z)'
  [../]
  [./ini_zz]
    type = ParsedFunction
    value = '-2500*10E-6*(403.003-z)'
  [../]
[]
[UserObjects]
  [./dp_coh_strong_harden]
    type = TensorMechanicsHardeningExponential
    value_0 = 2.9 # MPa
    value_residual = 3.1 # MPa
    rate = 1.0
  [../]
  [./dp_fric]
    type = TensorMechanicsHardeningConstant
    value = 0.65 # 37deg
  [../]
  [./dp_dil]
    type = TensorMechanicsHardeningConstant
    value = 0.65
  [../]
  [./dp_tensile_str_strong_harden]
    type = TensorMechanicsHardeningExponential
    value_0 = 1.0 # MPa
    value_residual = 1.4 # MPa
    rate = 1.0
  [../]
  [./dp_compressive_str]
    type = TensorMechanicsHardeningConstant
    value = 1.0E3 # Large!
  [../]
  [./drucker_prager_model]
    type = TensorMechanicsPlasticDruckerPrager
    mc_cohesion = dp_coh_strong_harden
    mc_friction_angle = dp_fric
    mc_dilation_angle = dp_dil
    internal_constraint_tolerance = 1 # irrelevant here
    yield_function_tolerance = 1      # irrelevant here
  [../]
  [./wp_coh]
    type = TensorMechanicsHardeningConstant
    value = 1E12
  [../]
  [./wp_tan_fric]
    type = TensorMechanicsHardeningConstant
    value = 0.36 # 20deg
  [../]
  [./wp_tan_dil]
    type = TensorMechanicsHardeningConstant
    value = 0.18 # 10deg
  [../]
  [./wp_tensile_str]
    type = TensorMechanicsHardeningConstant
    value = 1E12
  [../]
  [./wp_compressive_str]
    type = TensorMechanicsHardeningConstant
    value = 1E12
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeLayeredCosseratElasticityTensor
    young = 8E3 # MPa
    poisson = 0.25
    layer_thickness = 1.0
    joint_normal_stiffness = 1E9 # huge
    joint_shear_stiffness = 1E3 # MPa
  [../]
  [./strain]
    type = ComputeCosseratIncrementalSmallStrain
    eigenstrain_names = ini_stress
  [../]
  [./ini_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = 'ini_xx 0 0  0 ini_xx 0  0 0 ini_zz'
    eigenstrain_name = ini_stress
  [../]
  [./stress]
    # this is needed so as to correctly apply the initial stress
    type = ComputeMultipleInelasticCosseratStress
    block = 0
    inelastic_models = ''
    relative_tolerance = 2.0
    absolute_tolerance = 1E6
    max_iterations = 1
    tangent_operator = nonlinear
    perform_finite_strain_rotations = false
  [../]
  [./dp]
    type = CappedDruckerPragerCosseratStressUpdate
    block = 0
    warn_about_precision_loss = false
    host_youngs_modulus = 8E3
    host_poissons_ratio = 0.25
    base_name = dp
    DP_model = drucker_prager_model
    tensile_strength = dp_tensile_str_strong_harden
    compressive_strength = dp_compressive_str
    max_NR_iterations = 100000
    tip_smoother = 0.1E1
    smoothing_tol = 0.1E1 # MPa  # Must be linked to cohesion
    yield_function_tol = 1E-11 # MPa.  this is essentially the lowest possible without lots of precision loss
    perfect_guess = true
    min_step_size = 1.0
  [../]
  [./wp]
    type = CappedWeakPlaneCosseratStressUpdate
    block = 0
    warn_about_precision_loss = false
    base_name = wp
    cohesion = wp_coh
    tan_friction_angle = wp_tan_fric
    tan_dilation_angle = wp_tan_dil
    tensile_strength = wp_tensile_str
    compressive_strength = wp_compressive_str
    max_NR_iterations = 10000
    tip_smoother = 0.1
    smoothing_tol = 0.1 # MPa  # Note, this must be tied to cohesion, otherwise get no possible return at cone apex
    yield_function_tol = 1E-11 # MPa.  this is essentially the lowest possible without lots of precision loss
    perfect_guess = true
    min_step_size = 1.0E-3
  [../]
  [./density]
    type = GenericConstantMaterial
    prop_names = density
    prop_values = 2500
  [../]
[]
[Postprocessors]
  [./subs_max]
    type = PointValue
    point = '0 0 403.003'
    variable = disp_z
    use_displaced_mesh = false
  [../]
[]
[Preconditioning]
  [./SMP]
    type = SMP
    full = true
  []
[]
[Executioner]
  type = Transient
  solve_type = 'Linear'
  petsc_options = '-snes_converged_reason'
  petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -ksp_type -ksp_gmres_restart'
  petsc_options_value = ' asm      2              lu            gmres     200'
  line_search = bt
  nl_abs_tol = 1e-3
  nl_rel_tol = 1e-5
  l_max_its = 30
  nl_max_its = 1000
  start_time = 0.0
  dt = 1.0
  end_time = 1.0
[]
[Outputs]
  file_base = cosserat_elastic
  interval = 1
  print_linear_residuals = false
  exodus = true
  csv = true
  console = true
  #[./console]
  #  type = Console
  #  output_linear = false
  #[../]
[]
(modules/combined/test/tests/j2_plasticity_vs_LSH/necking/j2_hard1_neckingRZ.i)
#
[Mesh]
  file = necking_quad4.e
[]
[GlobalParams]
  displacements = 'disp_r disp_z'
[]
[Problem]
  coord_type = RZ
[]
[Variables]
  [./disp_r]
    order = FIRST
    family = LAGRANGE
  [../]
  [./disp_z]
    order = FIRST
    family = LAGRANGE
  [../]
[]
[Kernels]
  [./AxisymmetricRZ]
    use_displaced_mesh = true
#    save_in_disp_r = force_r
    save_in_disp_z = force_z
  [../]
[]
[AuxVariables]
  [./stress_rr]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strain_rr]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strain_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
#  [./force_r]
#    order = FIRST
#    family = LAGRANGE
#  [../]
  [./force_z]
    order = FIRST
    family = LAGRANGE
  [../]
[]
[AuxKernels]
  [./stress_rr]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_rr
    index_i = 0
    index_j = 0
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 1
    index_j = 1
  [../]
  [./strain_rr]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = strain_rr
    index_i = 0
    index_j = 0
  [../]
  [./strain_zz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = strain_zz
    index_i = 1
    index_j = 1
  [../]
[]
[BCs]
  [./left]
    type = DirichletBC
    variable = disp_r
    boundary = left
    value = 0.0
  [../]
  [./bottom]
    type = DirichletBC
    variable = disp_z
    boundary = bottom
    value = 0.0
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = top
    function = 't/5'
  [../]
[]
[UserObjects]
  [./str]
    type = TensorMechanicsHardeningConstant
    value = 2.4e2
  [../]
  [./j2]
    type = TensorMechanicsPlasticJ2
    yield_strength = str
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-9
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 1
    fill_method = symmetric_isotropic
    #with E = 2.1e5 and nu = 0.3
    #changed to SM values using E-nu to Lambda-G
    C_ijkl = '121154 80769.2'
  [../]
  [./strain]
    type = ComputeAxisymmetricRZFiniteStrain
    block = 1
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 1
    ep_plastic_tolerance = 1E-9
    plastic_models = j2
  [../]
[]
[Executioner]
  end_time = 0.1
  dt = 0.005
  type = Transient
  #Preconditioned JFNK (default)
  solve_type = 'PJFNK'
  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-ksp_gmres_restart'
  petsc_options_value = '101'
  line_search = 'none'
  l_max_its = 100
  nl_max_its = 100
  nl_rel_tol = 1e-6
  nl_abs_tol = 1e-15
  l_tol = 1e-9
[]
[Postprocessors]
  [./stress_rr]
    type = ElementAverageValue
    variable = stress_rr
  [../]
  [./stress_zz]
    type = ElementAverageValue
    variable = stress_zz
  [../]
  [./strain_rr]
    type = ElementAverageValue
    variable = strain_rr
  [../]
  [./strain_zz]
    type = ElementAverageValue
    variable = strain_zz
  [../]
  [./disp_z]
    type = NodalSum
    variable = disp_z
    boundary = top
  [../]
  [./force_z]
    type = NodalSum
    variable = force_z
    boundary = top
  [../]
[]
[Outputs]
  exodus = true
  csv = true
  print_linear_residuals = false
  perf_graph = true
[]
(modules/tensor_mechanics/test/tests/mohr_coulomb/uni_axial1_small_strain.i)
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[BCs]
  # back = zmin
  # front = zmax
  # bottom = ymin
  # top = ymax
  # left = xmin
  # right = xmax
  [./xmin_xzero]
    type = DirichletBC
    variable = disp_x
    boundary = 'left'
    value = '0'
  [../]
  [./ymin_yzero]
    type = DirichletBC
    variable = disp_y
    boundary = 'bottom'
    value = '0'
  [../]
  [./zmin_zzero]
    type = DirichletBC
    variable = disp_z
    boundary = 'back'
    value = '0'
  [../]
  [./zmax_disp]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front'
    function = '-1E-3*t'
  [../]
[]
[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mc_int]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./mc_int_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_internal_parameter
    variable = mc_int
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./mc_int]
    type = PointValue
    point = '0 0 0'
    variable = mc_int
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]
[UserObjects]
  [./mc_coh]
    type = TensorMechanicsHardeningConstant
    value = 10E6
  [../]
  [./mc_phi]
    type = TensorMechanicsHardeningExponential
    value_0 = 0
    value_residual = 0.6981317 # 40deg
    rate = 10000
  [../]
  [./mc_psi]
    type = TensorMechanicsHardeningConstant
    value = 0
  [../]
  [./mc]
    type = TensorMechanicsPlasticMohrCoulomb
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    mc_tip_smoother = 0
    mc_edge_smoother = 25
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-10
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '5.77E10 3.85E10' # young = 100Gpa, poisson = 0.3
  [../]
  [./strain]
    type = ComputeIncrementalSmallStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-10
    plastic_models = mc
    max_NR_iterations = 1000
    debug_fspb = crash
  [../]
[]
[Preconditioning]
  [./andy]
    type = SMP
    full = true
  [../]
[]
[Executioner]
  end_time = 0.5
  dt = 0.05
  solve_type = NEWTON
  type = Transient
  line_search = 'none'
  nl_rel_tol = 1E-10
  l_tol = 1E-3
  l_max_its = 200
  nl_max_its = 10
  petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -ksp_type -ksp_gmres_restart'
  petsc_options_value = ' asm      2              lu            gmres     200'
[]
[Outputs]
  file_base = uni_axial1_small_strain
  exodus = true
  [./csv]
    type = CSV
    [../]
[]
(modules/tensor_mechanics/examples/coal_mining/cosserat_mc_wp.i)
# Strata deformation and fracturing around a coal mine
#
# A 2D geometry is used that simulates a transverse section of
# the coal mine.  The model is actually 3D, but the "x"
# dimension is only 10m long, meshed with 1 element, and
# there is no "x" displacement.  The mine is 300m deep
# and just the roof is studied (0<=z<=300).  The model sits
# between 0<=y<=450.  The excavation sits in 0<=y<=150.  This
# is a "half model": the boundary conditions are such that
# the model simulates an excavation sitting in -150<=y<=150
# inside a model of the region -450<=y<=450.  The
# excavation height is 3m (ie, the excavation lies within
# 0<=z<=3).  Mining is simulated by moving the excavation's
# roof down, until disp_z=-3 at t=1.
# Time is meaningless in this example
# as quasi-static solutions are sought at each timestep, but
# the number of timesteps controls the resolution of the
# process.
#
# The boundary conditions are:
#  - disp_x = 0 everywhere
#  - disp_y = 0 at y=0 and y=450
#  - disp_z = 0 for y>150
#  - disp_z = -3 at maximum, for 0<=y<=150.  See excav function.
# That is, rollers on the sides, free at top, and prescribed at bottom.
#
# The small strain formulation is used.
#
# All stresses are measured in MPa.  The initial stress is consistent with
# the weight force from density 2500 kg/m^3, ie, stress_zz = -0.025*(300-z) MPa
# where gravity = 10 m.s^-2 = 1E-5 MPa m^2/kg.  The maximum and minimum
# principal horizontal stresses are assumed to be equal to 0.8*stress_zz.
#
# Material properties:
# Young's modulus = 8 GPa
# Poisson's ratio = 0.25
# Cosserat layer thickness = 1 m
# Cosserat-joint normal stiffness = large
# Cosserat-joint shear stiffness = 1 GPa
# MC cohesion = 3 MPa
# MC friction angle = 37 deg
# MC dilation angle = 8 deg
# MC tensile strength = 1 MPa
# MC compressive strength = 100 MPa, varying down to 1 MPa when tensile strain = 1
# WeakPlane cohesion = 0.1 MPa
# WeakPlane friction angle = 30 deg
# WeakPlane dilation angle = 10 deg
# WeakPlane tensile strength = 0.1 MPa
# WeakPlane compressive strength = 100 MPa softening to 1 MPa at strain = 1
#
[Mesh]
  [generated_mesh]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 1
    xmin = -5
    xmax = 5
    nz = 40
    zmin = 0
    zmax = 400.0
    bias_z = 1.1
    ny = 30 # make this a multiple of 3, so y=150 is at a node
    ymin = 0
    ymax = 450
  []
  [left]
    type = SideSetsAroundSubdomainGenerator
    new_boundary = 11
    normal = '0 -1 0'
    input = generated_mesh
  []
  [right]
    type = SideSetsAroundSubdomainGenerator
    new_boundary = 12
    normal = '0 1 0'
    input = left
  []
  [front]
    type = SideSetsAroundSubdomainGenerator
    new_boundary = 13
    normal = '-1 0 0'
    input = right
  []
  [back]
    type = SideSetsAroundSubdomainGenerator
    new_boundary = 14
    normal = '1 0 0'
    input = front
  []
  [top]
    type = SideSetsAroundSubdomainGenerator
    new_boundary = 15
    normal = '0 0 1'
    input = back
  []
  [bottom]
    type = SideSetsAroundSubdomainGenerator
    new_boundary = 16
    normal = '0 0 -1'
    input = top
  []
  [excav]
    type = SubdomainBoundingBoxGenerator
    block_id = 1
    bottom_left = '-5 0 0'
    top_right = '5 150 3'
    input = bottom
  []
  [roof]
    type = SideSetsBetweenSubdomainsGenerator
    new_boundary = 21
    primary_block = 0
    paired_block = 1
    input = excav
  []
  [hole]
    type = BlockDeletionGenerator
    block = 1
    input = roof
  []
[]
[GlobalParams]
  block = 0
  perform_finite_strain_rotations = false
  displacements = 'disp_x disp_y disp_z'
  Cosserat_rotations = 'wc_x wc_y wc_z'
[]
[Variables]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
  [./wc_x]
  [../]
[]
[Kernels]
  [./cy_elastic]
    type = CosseratStressDivergenceTensors
    use_displaced_mesh = false
    variable = disp_y
    component = 1
  [../]
  [./cz_elastic]
    type = CosseratStressDivergenceTensors
    use_displaced_mesh = false
    variable = disp_z
    component = 2
  [../]
  [./x_couple]
    type = StressDivergenceTensors
    use_displaced_mesh = false
    variable = wc_x
    displacements = 'wc_x wc_y wc_z'
    component = 0
    base_name = couple
  [../]
  [./x_moment]
    type = MomentBalancing
    use_displaced_mesh = false
    variable = wc_x
    component = 0
  [../]
  [./gravity]
    type = Gravity
    use_displaced_mesh = false
    variable = disp_z
    value = -10E-6
  [../]
[]
[AuxVariables]
  [./disp_x]
  [../]
  [./wc_y]
  [../]
  [./wc_z]
  [../]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mc_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mc_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./wp_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./wp_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./wp_shear_f]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./wp_tensile_f]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mc_shear_f]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mc_tensile_f]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./mc_shear]
    type = MaterialStdVectorAux
    index = 0
    property = mc_plastic_internal_parameter
    variable = mc_shear
  [../]
  [./mc_tensile]
    type = MaterialStdVectorAux
    index = 1
    property = mc_plastic_internal_parameter
    variable = mc_tensile
  [../]
  [./wp_shear]
    type = MaterialStdVectorAux
    index = 0
    property = wp_plastic_internal_parameter
    variable = wp_shear
  [../]
  [./wp_tensile]
    type = MaterialStdVectorAux
    index = 1
    property = wp_plastic_internal_parameter
    variable = wp_tensile
  [../]
  [./mc_shear_f]
    type = MaterialStdVectorAux
    index = 6
    property = mc_plastic_yield_function
    variable = mc_shear_f
  [../]
  [./mc_tensile_f]
    type = MaterialStdVectorAux
    index = 0
    property = mc_plastic_yield_function
    variable = mc_tensile_f
  [../]
  [./wp_shear_f]
    type = MaterialStdVectorAux
    index = 0
    property = wp_plastic_yield_function
    variable = wp_shear_f
  [../]
  [./wp_tensile_f]
    type = MaterialStdVectorAux
    index = 1
    property = wp_plastic_yield_function
    variable = wp_tensile_f
  [../]
[]
[BCs]
  [./no_y]
    type = DirichletBC
    variable = disp_y
    boundary = '11 12 16 21' # note addition of 16 and 21
    value = 0.0
  [../]
  [./no_z]
    type = DirichletBC
    variable = disp_z
    boundary = '16'
    value = 0.0
  [../]
  [./no_wc_x]
    type = DirichletBC
    variable = wc_x
    boundary = '11 12'
    value = 0.0
  [../]
  [./roof]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 21
    function = excav_sideways
  [../]
[]
[Functions]
  [./ini_xx]
    type = ParsedFunction
    value = '-0.8*2500*10E-6*(400-z)'
  [../]
  [./ini_zz]
    type = ParsedFunction
    value = '-2500*10E-6*(400-z)'
  [../]
  [./excav_sideways]
    type = ParsedFunction
    vars = 'end_t ymin ymax  e_h  closure_dist'
    vals = '1.0   0    150.0 -3.0 15.0'
    value = 'e_h*max(min((min(t/end_t,1)*(ymax-ymin)+ymin-y)/closure_dist,1),0)'
  [../]
  [./excav_downwards]
    type = ParsedFunction
    vars = 'end_t ymin ymax  e_h  closure_dist'
    vals = '1.0   0    150.0 -3.0 15.0'
    value = 'e_h*min(t/end_t,1)*max(min(((ymax-ymin)+ymin-y)/closure_dist,1),0)'
  [../]
[]
[UserObjects]
  [./mc_coh_strong_harden]
    type = TensorMechanicsHardeningExponential
    value_0 = 2.99 # MPa
    value_residual = 3.01 # MPa
    rate = 1.0
  [../]
  [./mc_fric]
    type = TensorMechanicsHardeningConstant
    value = 0.65 # 37deg
  [../]
  [./mc_dil]
    type = TensorMechanicsHardeningConstant
    value = 0.15 # 8deg
  [../]
  [./mc_tensile_str_strong_harden]
    type = TensorMechanicsHardeningExponential
    value_0 = 1.0 # MPa
    value_residual = 1.0 # MPa
    rate = 1.0
  [../]
  [./mc_compressive_str]
    type = TensorMechanicsHardeningCubic
    value_0 = 100 # Large!
    value_residual = 100
    internal_limit = 0.1
  [../]
  [./wp_coh_harden]
    type = TensorMechanicsHardeningCubic
    value_0 = 0.1
    value_residual = 0.1
    internal_limit = 10
  [../]
  [./wp_tan_fric]
    type = TensorMechanicsHardeningConstant
    value = 0.36 # 20deg
  [../]
  [./wp_tan_dil]
    type = TensorMechanicsHardeningConstant
    value = 0.18 # 10deg
  [../]
  [./wp_tensile_str_harden]
    type = TensorMechanicsHardeningCubic
    value_0 = 0.1
    value_residual = 0.1
    internal_limit = 10
  [../]
  [./wp_compressive_str_soften]
    type = TensorMechanicsHardeningCubic
    value_0 = 100
    value_residual = 1
    internal_limit = 1.0
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeLayeredCosseratElasticityTensor
    young = 8E3 # MPa
    poisson = 0.25
    layer_thickness = 1.0
    joint_normal_stiffness = 1E9 # huge
    joint_shear_stiffness = 1E3
  [../]
  [./strain]
    type = ComputeCosseratIncrementalSmallStrain
    eigenstrain_names = ini_stress
  [../]
  [./ini_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = 'ini_xx 0 0  0 ini_xx 0  0 0 ini_zz'
    eigenstrain_name = ini_stress
  [../]
  [./stress]
    type = ComputeMultipleInelasticCosseratStress
    block = 0
    inelastic_models = 'mc wp'
    cycle_models = true
    relative_tolerance = 2.0
    absolute_tolerance = 1E6
    max_iterations = 1
    tangent_operator = nonlinear
    perform_finite_strain_rotations = false
  [../]
  [./mc]
    type = CappedMohrCoulombCosseratStressUpdate
    block = 0
    warn_about_precision_loss = false
    host_youngs_modulus = 8E3
    host_poissons_ratio = 0.25
    base_name = mc
    tensile_strength = mc_tensile_str_strong_harden
    compressive_strength = mc_compressive_str
    cohesion = mc_coh_strong_harden
    friction_angle = mc_fric
    dilation_angle = mc_dil
    max_NR_iterations = 10000
    smoothing_tol = 0.1 # MPa  # Must be linked to cohesion
    yield_function_tol = 1E-9 # MPa.  this is essentially the lowest possible without lots of precision loss
    perfect_guess = true
    min_step_size = 1.0
  [../]
  [./wp]
    type = CappedWeakPlaneCosseratStressUpdate
    block = 0
    warn_about_precision_loss = false
    base_name = wp
    cohesion = wp_coh_harden
    tan_friction_angle = wp_tan_fric
    tan_dilation_angle = wp_tan_dil
    tensile_strength = wp_tensile_str_harden
    compressive_strength = wp_compressive_str_soften
    max_NR_iterations = 10000
    tip_smoother = 0.1
    smoothing_tol = 0.1 # MPa  # Note, this must be tied to cohesion, otherwise get no possible return at cone apex
    yield_function_tol = 1E-11 # MPa.  this is essentially the lowest possible without lots of precision loss
    perfect_guess = true
    min_step_size = 1.0
  [../]
  [./density]
    type = GenericConstantMaterial
    prop_names = density
    prop_values = 2500
  [../]
[]
[Postprocessors]
  [./subsidence]
    type = PointValue
    point = '0 0 400'
    variable = disp_z
    use_displaced_mesh = false
  [../]
[]
[Preconditioning]
  [./SMP]
    type = SMP
    full = true
  []
[]
[Executioner]
  type = Transient
  solve_type = 'NEWTON'
  petsc_options = '-snes_converged_reason'
  petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -ksp_type -ksp_gmres_restart'
  petsc_options_value = ' asm      2              lu            gmres     200'
  line_search = bt
  nl_abs_tol = 1e-3
  nl_rel_tol = 1e-5
  l_max_its = 30
  nl_max_its = 1000
  start_time = 0.0
  dt = 0.2
  end_time = 0.2
[]
[Outputs]
  file_base = cosserat_mc_wp
  interval = 1
  print_linear_residuals = false
  csv = true
  exodus = true
  [./console]
    type = Console
    output_linear = false
  [../]
[]
(modules/tensor_mechanics/test/tests/weak_plane_shear/large_deform3.i)
# apply a number of "random" configurations and
# check that the algorithm returns to the yield surface
#
# must be careful here - we cannot put in arbitrary values of C_ijkl, otherwise the condition
# df/dsigma * C * flow_dirn < 0 for some stresses
# The important features that must be obeyed are:
# 0 = C_0222 = C_1222  (holds for transversely isotropic, for instance)
# C_0212 < C_0202 = C_1212 (holds for transversely isotropic)
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[BCs]
  [./bottomx]
    type = DirichletBC
    variable = disp_x
    boundary = back
    value = 0.0
  [../]
  [./bottomy]
    type = DirichletBC
    variable = disp_y
    boundary = back
    value = 0.0
  [../]
  [./bottomz]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0.0
  [../]
  # the following are "random" deformations
  # each is O(1E-1) to provide large deformations
  [./topx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = front
    function = '(sin(0.1*t)+x)/1E1'
  [../]
  [./topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = front
    function = '(cos(t)+x*y)/1E1'
  [../]
  [./topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = 'sin(0.4321*t)*x*y*z/1E1'
  [../]
[]
[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = yield_fcn
  [../]
[]
[Postprocessors]
  [./yield_fcn_at_zero]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
    outputs = 'console'
  [../]
  [./should_be_zero]
    type = FunctionValuePostprocessor
    function = should_be_zero_fcn
  [../]
[]
[Functions]
  [./should_be_zero_fcn]
    type = ParsedFunction
    value = 'if(a<1E-3,0,a)'
    vars = 'a'
    vals = 'yield_fcn_at_zero'
  [../]
[]
[UserObjects]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 1E3
  [../]
  [./tanphi]
    type = TensorMechanicsHardeningConstant
    value = 0.577350269
  [../]
  [./tanpsi]
    type = TensorMechanicsHardeningConstant
    value = 0.08748866
  [../]
  [./wps]
    type = TensorMechanicsPlasticWeakPlaneShear
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    smoother = 100
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-3
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    # the following is transversely isotropic, i think.
    fill_method = symmetric9
    C_ijkl = '3E9 1E9 3E9 3E9 3E9 6E9 1E9 1E9 9E9'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    plastic_models = wps
    transverse_direction = '0 0 1'
    max_NR_iterations = 100
    ep_plastic_tolerance = 1E-3
    debug_fspb = crash
  [../]
[]
[Executioner]
  end_time = 1E4
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = large_deform3
  exodus = false
  [./csv]
    type = CSV
    [../]
[]
(modules/tensor_mechanics/test/tests/mean_cap_TC/small_deform4.i)
# apply nonuniform compression in x, y and z directions such that
# trial_stress(0, 0) = 2
# trial_stress(1, 1) = -8
# trial_stress(2, 2) = -10
# With compressive_strength = -1, the algorithm should return to trace(stress) = -1, or
# stress(0, 0) = 7
# stress(1, 1) = -3
# stress(2, 2) = -5
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '1E-7*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '-4E-7*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '-5E-7*z'
  [../]
[]
[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./f]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = f
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = f
  [../]
[]
[UserObjects]
  [./tensile_strength]
    type = TensorMechanicsHardeningConstant
    value = 2
  [../]
  [./compressive_strength]
    type = TensorMechanicsHardeningConstant
    value = -1
  [../]
  [./cap]
    type = TensorMechanicsPlasticMeanCapTC
    tensile_strength = tensile_strength
    compressive_strength = compressive_strength
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-9
    use_custom_returnMap = true
    use_custom_cto = true
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./strain]
    type = ComputeIncrementalSmallStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mean_cap]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = cap
  [../]
[]
[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform4
  exodus = false
  [./csv]
    type = CSV
  [../]
[]
(modules/tensor_mechanics/test/tests/multiple_two_parameter_plasticity/dp_and_wp.i)
# Use ComputeMultipleInelasticStress with two inelastic models: CappedDruckerPrager and CappedWeakPlane.
# The relative_tolerance and absolute_tolerance parameters are set small so that many
# Picard iterations need to be performed.
#
# The CappedDruckerPrager has tensile strength 3E2 and large cohesion,
# and the return-map sets stress = trial_stress - diag(d, d, d), for
# some d to be determined
# The CappedWeakPlane has tensile strength zero and large cohesion,
# and the return-map sets stress = diag(t - v*w/(1-v), t - v*w/(1-v), t - w)
# where t is trial stress, v is Poisson's ratio, and w is to be determined
#
# d and w are determined by demanding that the final stress shouldn't depend
# on the order of return-mapping (DP first then WP, or WP first then DP).
#
# Let the initial_stress = diag(I, I, I).
# The returned stress is diag(I - d - v*w/(1-v), I - d - v*w/(1-v), I - d - w).  This
# must obey Tr(stress) <= dp_tensile_strength, and I-d-w <= wp_tensile_strength.
#
# For I = 1E3, and v = 0.2, the solution is d = 800 and w = 200, with
# stress = diag(150, 150, 0)
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    incremental = true
    eigenstrain_names = ini_stress
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = 0
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = 0
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = 0
  [../]
[]
[AuxVariables]
  [./yield_fcn_dp]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn_wp]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./yield_fcn_dp_auxk]
    type = MaterialStdVectorAux
    index = 1    # this is the tensile yield function - it should be zero
    property = cdp_plastic_yield_function
    variable = yield_fcn_dp
  [../]
  [./yield_fcn_wp_auxk]
    type = MaterialStdVectorAux
    index = 1    # this is the tensile yield function - it should be zero
    property = cwp_plastic_yield_function
    variable = yield_fcn_wp
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f_dp]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn_dp
  [../]
  [./f_wp]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn_wp
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 300
  [../]
  [./cs]
    type = TensorMechanicsHardeningConstant
    value = 1E4
  [../]
  [./mc_coh]
    type = TensorMechanicsHardeningConstant
    value = 1E4
  [../]
  [./mc_phi]
    type = TensorMechanicsHardeningConstant
    value = 20
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = TensorMechanicsHardeningConstant
    value = 0
  [../]
  [./dp]
    type = TensorMechanicsPlasticDruckerPrager
    mc_cohesion = mc_coh
    mc_friction_angle = mc_phi
    mc_dilation_angle = mc_psi
    internal_constraint_tolerance = 1 # irrelevant here
    yield_function_tolerance = 1      # irrelevant here
  [../]
  [./wp_coh]
    type = TensorMechanicsHardeningConstant
    value = 1E4
  [../]
  [./wp_tanphi]
    type = TensorMechanicsHardeningConstant
    value = 0.5
  [../]
  [./wp_tanpsi]
    type = TensorMechanicsHardeningConstant
    value = 0.1111077
  [../]
  [./wp_t_strength]
    type = TensorMechanicsHardeningConstant
    value = 0
  [../]
  [./wp_c_strength]
    type = TensorMechanicsHardeningConstant
    value = 1E4
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    poissons_ratio = 0.2
    youngs_modulus = 1E7
  [../]
  [./ini_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = '1E3 0 0  0 1E3 0  0 0 1E3'
    eigenstrain_name = ini_stress
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    relative_tolerance = 1E-8
    inelastic_models = 'cdp cwp'
    perform_finite_strain_rotations = false
  [../]
  [./cdp]
    type = CappedDruckerPragerStressUpdate
    base_name = cdp
    DP_model = dp
    tensile_strength = ts
    compressive_strength = cs
    yield_function_tol = 1E-5
    tip_smoother = 1E3
    smoothing_tol = 1E3
  [../]
  [./cwp]
    type = CappedWeakPlaneStressUpdate
    base_name = cwp
    cohesion = wp_coh
    tan_friction_angle = wp_tanphi
    tan_dilation_angle = wp_tanpsi
    tensile_strength = wp_t_strength
    compressive_strength = wp_c_strength
    tip_smoother = 1E3
    smoothing_tol = 1E3
    yield_function_tol = 1E-5
  [../]
[]
[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = dp_and_wp
  csv = true
[]
(modules/tensor_mechanics/test/tests/drucker_prager/small_deform2_native.i)
# apply repeated stretches in x, y and z directions, so that mean_stress = 0
# This maps out the yield surface in the octahedral plane for zero mean stress
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '-1.5E-6*x+2E-6*x*sin(t)'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '2E-6*y*sin(2*t)'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '-2E-6*z*(sin(t)+sin(2*t))'
  [../]
[]
[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]
[UserObjects]
  [./mc_coh]
    type = TensorMechanicsHardeningConstant
    value = 10
  [../]
  [./mc_phi]
    type = TensorMechanicsHardeningConstant
    value = 20
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = TensorMechanicsHardeningConstant
    value = 0
  [../]
  [./mc]
    type = TensorMechanicsPlasticDruckerPragerHyperbolic
    mc_cohesion = mc_coh
    mc_friction_angle = mc_phi
    mc_dilation_angle = mc_psi
    smoother = 4
    mc_interpolation_scheme = native
    yield_function_tolerance = 1E-5
    internal_constraint_tolerance = 1E-11
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./strain]
    type = ComputeIncrementalSmallStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-12
    plastic_models = mc
    debug_fspb = crash
  [../]
[]
[Executioner]
  end_time = 100
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform2_native
  exodus = false
  [./csv]
    type = CSV
    [../]
[]
(modules/tensor_mechanics/test/tests/jacobian/cto20.i)
# DruckerPragerHyperbolic
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  block = 0
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[UserObjects]
  [./mc_coh]
    type = TensorMechanicsHardeningConstant
    value = 10
  [../]
  [./phi]
    type = TensorMechanicsHardeningConstant
    value = 0.8
  [../]
  [./psi]
    type = TensorMechanicsHardeningConstant
    value = 0.4
  [../]
  [./dp]
    type = TensorMechanicsPlasticDruckerPragerHyperbolic
    mc_cohesion = mc_coh
    mc_friction_angle = phi
    mc_dilation_angle = psi
    smoother = 1
    yield_function_tolerance = 1E-11
    internal_constraint_tolerance = 1E-9
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1'
  [../]
  [./strain]
    type = ComputeIncrementalSmallStrain
    displacements = 'disp_x disp_y disp_z'
    eigenstrain_names = ini_stress
  [../]
  [./ini_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = '6 5 4  5 7 2  4 2 2'
    eigenstrain_name = ini_stress
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    ep_plastic_tolerance = 1E-11
    plastic_models = dp
    tangent_operator = nonlinear
    min_stepsize = 1
  [../]
[]
[Preconditioning]
  [./andy]
    type = SMP
    full = true
    petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it -snes_type'
    petsc_options_value = 'bcgs bjacobi 1E-15 1E-10 10000 test'
  [../]
[]
[Executioner]
  type = Transient
  solve_type = Newton
[]
(modules/tensor_mechanics/test/tests/weak_plane_shear/small_deform2.i)
# apply a pure tension, then some shear with compression
# the BCs are designed to map out the yield function, showing
# the affect of the small_smoother parameter
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./x_disp]
  [../]
  [./y_disp]
  [../]
  [./z_disp]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'x_disp y_disp z_disp'
  [../]
[]
[BCs]
  [./bottomx]
    type = DirichletBC
    variable = x_disp
    boundary = back
    value = 0.0
  [../]
  [./bottomy]
    type = DirichletBC
    variable = y_disp
    boundary = back
    value = 0.0
  [../]
  [./bottomz]
    type = DirichletBC
    variable = z_disp
    boundary = back
    value = 0.0
  [../]
  [./topx]
    type = FunctionDirichletBC
    variable = x_disp
    boundary = front
    function = 'if(t<1E-6,0,3*t)'
  [../]
  [./topy]
    type = FunctionDirichletBC
    variable = y_disp
    boundary = front
    function = 'if(t<1E-6,0,5*(t-0.01E-6))'
  [../]
  [./topz]
    type = FunctionDirichletBC
    variable = z_disp
    boundary = front
    function = 'if(t<1E-6,t,2E-6-t)'
  [../]
[]
[AuxVariables]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_zx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zx
    index_i = 2
    index_j = 0
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = yield_fcn
  [../]
[]
[Postprocessors]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]
[UserObjects]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 1E3
  [../]
  [./tanphi]
    type = TensorMechanicsHardeningConstant
    value = 1
  [../]
  [./tanpsi]
    type = TensorMechanicsHardeningConstant
    value = 0.01745506
  [../]
  [./wps]
    type = TensorMechanicsPlasticWeakPlaneShear
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    smoother = 500
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-6
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '1E9 0.5E9'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'x_disp y_disp z_disp'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    ep_plastic_tolerance = 1E-4
    block = 0
    plastic_models = wps
    transverse_direction = '0 0 1'
    debug_fspb = crash
  [../]
[]
[Executioner]
  end_time = 2E-6
  dt = 1E-7
  type = Transient
[]
[Outputs]
  file_base = small_deform2
  exodus = true
  [./csv]
    type = CSV
    [../]
[]
(modules/tensor_mechanics/test/tests/capped_mohr_coulomb/small_deform23.i)
# apply repeated stretches in x z directions, and smaller stretches along the y direction,
# so that sigma_max = sigma_mid (approximately),
# which means that lode angle = 30deg.
# The allows yield surface in meridional plane to be mapped out
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'max_principal_stress mid_principal_stress min_principal_stress stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '1E-6*x*t'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0.25E-6*y*sin(t)'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z*t'
  [../]
[]
[AuxVariables]
  [./mc_int]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./mc_int_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_internal_parameter
    variable = mc_int
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 6
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./internal]
    type = PointValue
    point = '0 0 0'
    variable = mc_int
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./mc_coh]
    type = TensorMechanicsHardeningConstant
    value = 10
  [../]
  [./mc_phi]
    type = TensorMechanicsHardeningConstant
    value = 30
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = TensorMechanicsHardeningConstant
    value = 0.5
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./mc]
    type = CappedMohrCoulombStressUpdate
    tensile_strength = ts
    compressive_strength = ts
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    smoothing_tol = 5.0
    yield_function_tol = 1.0E-12
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = mc
    perform_finite_strain_rotations = false
  [../]
[]
[Executioner]
  end_time = 30
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform23
  csv = true
[]
(modules/tensor_mechanics/test/tests/jacobian/cwp08.i)
# Capped weak-plane plasticity
# checking jacobian for shear + compression failure
[Mesh]
  type = GeneratedMesh
  dim = 3
[]
[GlobalParams]
  block = 0
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[UserObjects]
  [./coh]
    type = TensorMechanicsHardeningExponential
    value_0 = 1
    value_residual = 1
    rate = 1
  [../]
  [./tanphi]
    type = TensorMechanicsHardeningExponential
    value_0 = 1.0
    value_residual = 1.0
    rate = 2
  [../]
  [./tanpsi]
    type = TensorMechanicsHardeningExponential
    value_0 = 0.1
    value_residual = 0.1
    rate = 1
  [../]
  [./t_strength]
    type = TensorMechanicsHardeningExponential
    value_0 = 100
    value_residual = 100
    rate = 1
  [../]
  [./c_strength]
    type = TensorMechanicsHardeningConstant
    value = 0
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    lambda = 0.0
    shear_modulus = 2.0
  [../]
  [./strain]
    type = ComputeIncrementalSmallStrain
    displacements = 'disp_x disp_y disp_z'
    eigenstrain_names = ini_stress
  [../]
  [./ini_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = '0 0 1  0 0 -1  1 -1 0'
    eigenstrain_name = ini_stress
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    inelastic_models = mc
    tangent_operator = nonlinear
  [../]
  [./mc]
    type = CappedWeakPlaneStressUpdate
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    tensile_strength = t_strength
    compressive_strength = c_strength
    max_NR_iterations = 20
    tip_smoother = 0
    smoothing_tol = 2
    yield_function_tol = 1E-10
  [../]
[]
[Preconditioning]
  [./andy]
    type = SMP
    full = true
    petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it -snes_type'
    petsc_options_value = 'bcgs bjacobi 1E-15 1E-10 10000 test'
  [../]
[]
[Executioner]
  type = Transient
  solve_type = Newton
[]
(modules/tensor_mechanics/test/tests/mohr_coulomb/planar_hard2.i)
# apply uniform stretches in x, y and z directions.
# let friction_angle = 60deg, friction_angle_residual=10deg, friction_angle_rate = 0.5E4
# With cohesion = C, friction_angle = phi, the
# algorithm should return to
# sigma_m = C*Cos(phi)/Sin(phi)
# Or, when T=C,
# phi = arctan(C/sigma_m)
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '1E-6*x*t'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '1E-6*y*t'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z*t'
  [../]
[]
[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mc_int]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./mc_int_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_internal_parameter
    variable = mc_int
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./internal]
    type = PointValue
    point = '0 0 0'
    variable = mc_int
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]
[UserObjects]
  [./mc_coh]
    type = TensorMechanicsHardeningConstant
    value = 10
  [../]
  [./mc_phi]
    type = TensorMechanicsHardeningExponential
    value_0 = 1.04719755 # 60deg
    value_residual = 0.17453293 # 10deg
    rate = 0.5E4
  [../]
  [./mc_psi]
    type = TensorMechanicsHardeningConstant
    value = 5
    convert_to_radians = true
  [../]
  [./mc]
    type = TensorMechanicsPlasticMohrCoulombMulti
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    shift = 1E-12
    use_custom_returnMap = true
    yield_function_tolerance = 1E-5
    internal_constraint_tolerance = 1E-9
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0.0E7 1E7'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-12
    plastic_models = mc
  [../]
[]
[Executioner]
  end_time = 10
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = planar_hard2
  exodus = false
  [./csv]
    type = CSV
    execute_on = timestep_end
    [../]
[]
(modules/tensor_mechanics/test/tests/capped_weak_plane/small_deform10.i)
# apply a shear deformation and tensile stretch to observe all hardening.
# Here p_trial=12, q_trial=2*Sqrt(20)
# MOOSE yields:
# q_returned = 1.696
# p_returned = 0.100
# intnl_shear = 1.81
# intnl_tens = 0.886
# These give, at the returned point
# cohesion = 1.84
# tanphi = 0.513
# tanpsi = 0.058
# tensile = 0.412
# This means that
# f_shear = -0.0895
# f_tensile = -0.312
# Note that these are within smoothing_tol (=1) of each other
# Hence, smoothing must be used:
# ismoother = 0.0895
# (which gives the yield function value = 0)
# smoother = 0.328
# This latter gives dg/dq = 0.671, dg/dp = 0.368
# for the flow directions.  Finally ga = 2.70, and
# the returned point satisfies the normality conditions.
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz plastic_strain_xx plastic_strain_xy plastic_strain_xz plastic_strain_yy plastic_strain_yz plastic_strain_zz strain_xx strain_xy strain_xz strain_yy strain_yz strain_zz'
  [../]
[]
[BCs]
  [./bottomx]
    type = DirichletBC
    variable = disp_x
    boundary = back
    value = 0.0
  [../]
  [./bottomy]
    type = DirichletBC
    variable = disp_y
    boundary = back
    value = 0.0
  [../]
  [./bottomz]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0.0
  [../]
  [./topx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = front
    function = 't'
  [../]
  [./topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = front
    function = '2*t'
  [../]
  [./topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = 't'
  [../]
[]
[AuxVariables]
  [./f_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_compressive]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./ls]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./f_shear]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f_shear
  [../]
  [./f_tensile]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f_tensile
  [../]
  [./f_compressive]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f_compressive
  [../]
  [./intnl_shear]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = intnl_shear
  [../]
  [./intnl_tensile]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 1
    variable = intnl_tensile
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./ls]
    type = MaterialRealAux
    property = plastic_linesearch_needed
    variable = ls
  [../]
[]
[Postprocessors]
  [./stress_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./stress_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./stress_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./stress_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./stress_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./stress_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./strainp_xx]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_xx
  [../]
  [./strainp_xy]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_xy
  [../]
  [./strainp_xz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_xz
  [../]
  [./strainp_yy]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_yy
  [../]
  [./strainp_yz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_yz
  [../]
  [./strainp_zz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_zz
  [../]
  [./straint_xx]
    type = PointValue
    point = '0 0 0'
    variable = strain_xx
  [../]
  [./straint_xy]
    type = PointValue
    point = '0 0 0'
    variable = strain_xy
  [../]
  [./straint_xz]
    type = PointValue
    point = '0 0 0'
    variable = strain_xz
  [../]
  [./straint_yy]
    type = PointValue
    point = '0 0 0'
    variable = strain_yy
  [../]
  [./straint_yz]
    type = PointValue
    point = '0 0 0'
    variable = strain_yz
  [../]
  [./straint_zz]
    type = PointValue
    point = '0 0 0'
    variable = strain_zz
  [../]
  [./f_shear]
    type = PointValue
    point = '0 0 0'
    variable = f_shear
  [../]
  [./f_tensile]
    type = PointValue
    point = '0 0 0'
    variable = f_tensile
  [../]
  [./f_compressive]
    type = PointValue
    point = '0 0 0'
    variable = f_compressive
  [../]
  [./intnl_shear]
    type = PointValue
    point = '0 0 0'
    variable = intnl_shear
  [../]
  [./intnl_tensile]
    type = PointValue
    point = '0 0 0'
    variable = intnl_tensile
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
  [./ls]
    type = PointValue
    point = '0 0 0'
    variable = ls
  [../]
[]
[UserObjects]
  [./coh]
    type = TensorMechanicsHardeningExponential
    value_0 = 1
    value_residual = 2
    rate = 1
  [../]
  [./tanphi]
    type = TensorMechanicsHardeningExponential
    value_0 = 1.0
    value_residual = 0.5
    rate = 2
  [../]
  [./tanpsi]
    type = TensorMechanicsHardeningExponential
    value_0 = 0.1
    value_residual = 0.05
    rate = 1
  [../]
  [./t_strength]
    type = TensorMechanicsHardeningExponential
    value_0 = 1
    value_residual = 0
    rate = 1
  [../]
  [./c_strength]
    type = TensorMechanicsHardeningConstant
    value = 1E8
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '4 4'
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    inelastic_models = stress
    perform_finite_strain_rotations = false
  [../]
  [./stress]
    type = CappedWeakPlaneStressUpdate
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    tensile_strength = t_strength
    compressive_strength = c_strength
    max_NR_iterations = 20
    tip_smoother = 0
    smoothing_tol = 1
    yield_function_tol = 1E-3
    perfect_guess = false
  [../]
[]
[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform10
  [./csv]
    type = CSV
  [../]
[]
(modules/tensor_mechanics/test/tests/weak_plane_shear/small_deform3.i)
# apply a number of "random" configurations and
# check that the algorithm returns to the yield surface
#
# must be careful here - we cannot put in arbitrary values of C_ijkl, otherwise the condition
# df/dsigma * C * flow_dirn < 0 for some stresses
# The important features that must be obeyed are:
# 0 = C_0222 = C_1222  (holds for transversely isotropic, for instance)
# C_0212 < C_0202 = C_1212 (holds for transversely isotropic)
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[BCs]
  [./bottomx]
    type = DirichletBC
    variable = disp_x
    boundary = back
    value = 0.0
  [../]
  [./bottomy]
    type = DirichletBC
    variable = disp_y
    boundary = back
    value = 0.0
  [../]
  [./bottomz]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0.0
  [../]
  # the following are "random" deformations
  # each is O(1E-5) to keep deformations small
  [./topx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = front
    function = '(sin(0.1*t)+x)/1E5'
  [../]
  [./topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = front
    function = '(cos(t)+x*y)/1E5'
  [../]
  [./topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = 'sin(0.4321*t)*x*y*z/1E5'
  [../]
[]
[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = yield_fcn
  [../]
[]
[Postprocessors]
  [./yield_fcn_at_zero]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
    outputs = 'console'
  [../]
  [./should_be_zero]
    type = FunctionValuePostprocessor
    function = should_be_zero_fcn
  [../]
[]
[Functions]
  [./should_be_zero_fcn]
    type = ParsedFunction
    value = 'if(a<1E-3,0,a)'
    vars = 'a'
    vals = 'yield_fcn_at_zero'
  [../]
[]
[UserObjects]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 1E3
  [../]
  [./tanphi]
    type = TensorMechanicsHardeningConstant
    value = 0.5773503
  [../]
  [./tanpsi]
    type = TensorMechanicsHardeningConstant
    value = 0.08748866
  [../]
  [./wps]
    type = TensorMechanicsPlasticWeakPlaneShear
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    smoother = 100
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-3
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    # the following is transversely isotropic, i think.
    fill_method = symmetric9
    C_ijkl = '3E9 1E9 3E9 3E9 3E9 6E9 1E9 1E9 9E9'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    plastic_models = wps
    transverse_direction = '0 0 1'
    max_NR_iterations = 100
    ep_plastic_tolerance = 1E-3
    debug_fspb = crash
  [../]
[]
[Executioner]
  end_time = 1E4
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform3
  exodus = false
  [./csv]
    type = CSV
    [../]
[]
(modules/tensor_mechanics/examples/coal_mining/cosserat_mc_wp_sticky_longitudinal.i)
# Strata deformation and fracturing around a coal mine
#
# A 2D geometry is used that simulates a longitudinal section of
# the coal mine.  The model is actually 3D, but the "x"
# dimension is only 10m long, meshed with 1 element, and
# there is no "x" displacement.  The mine is 400m deep
# and just the roof is studied (0<=z<=400).  The model sits
# between -300<=y<=1800.  The excavation sits in 0<=y<=1500.  The
# excavation height is 3m (ie, the excavation lies within
# 0<=z<=3).
#
# Time is meaningless in this example
# as quasi-static solutions are sought at each timestep, but
# the number of timesteps controls the resolution of the
# process.
#
# The boundary conditions for this elastic simulation are:
#  - disp_x = 0 everywhere
#  - disp_y = 0 at y=-300 and y=1800
#  - disp_z = 0 at z=0, but there is a time-dependent
#               Young's modulus that simulates excavation
#  - wc_x = 0 at y=300 and y=1800.
# That is, rollers on the sides, free at top,
# and prescribed at bottom in the unexcavated portion.
#
# The small strain formulation is used.
#
# All stresses are measured in MPa.  The initial stress is consistent with
# the weight force from density 2500 kg/m^3, ie, stress_zz = -0.025*(300-z) MPa
# where gravity = 10 m.s^-2 = 1E-5 MPa m^2/kg.  The maximum and minimum
# principal horizontal stresses are assumed to be equal to 0.8*stress_zz.
#
# Material properties:
# Young's modulus = 8 GPa
# Poisson's ratio = 0.25
# Cosserat layer thickness = 1 m
# Cosserat-joint normal stiffness = large
# Cosserat-joint shear stiffness = 1 GPa
# MC cohesion = 3 MPa
# MC friction angle = 37 deg
# MC dilation angle = 8 deg
# MC tensile strength = 1 MPa
# MC compressive strength = 100 MPa
#
[Mesh]
   [generated_mesh]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 1
    xmin = -5
    xmax = 5
    nz = 40
    zmin = 0
    zmax = 400
    bias_z = 1.1
    ny = 140 # 15m elements
    ymin = -300
    ymax = 1800
  []
  [left]
    type = SideSetsAroundSubdomainGenerator
    block = 0
    new_boundary = 11
    normal = '0 -1 0'
    input = generated_mesh
  []
  [right]
    type = SideSetsAroundSubdomainGenerator
    block = 0
    new_boundary = 12
    normal = '0 1 0'
    input = left
  []
  [front]
    type = SideSetsAroundSubdomainGenerator
    block = 0
    new_boundary = 13
    normal = '-1 0 0'
    input = right
  []
  [back]
    type = SideSetsAroundSubdomainGenerator
    block = 0
    new_boundary = 14
    normal = '1 0 0'
    input = front
  []
  [top]
    type = SideSetsAroundSubdomainGenerator
    block = 0
    new_boundary = 15
    normal = '0 0 1'
    input = back
  []
  [bottom]
    type = SideSetsAroundSubdomainGenerator
    block = 0
    new_boundary = 16
    normal = '0 0 -1'
    input = top
  []
  [excav]
    type = SubdomainBoundingBoxGenerator
    block_id = 1
    bottom_left = '-5 0 0'
    top_right = '5 1500 3'
    input = bottom
  []
  [roof]
    type = SideSetsAroundSubdomainGenerator
    block = 1
    new_boundary = 18
    normal = '0 0 1'
    input = excav
  []
[]
[GlobalParams]
  perform_finite_strain_rotations = false
  displacements = 'disp_x disp_y disp_z'
  Cosserat_rotations = 'wc_x wc_y wc_z'
[]
[Variables]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
  [./wc_x]
  [../]
[]
[Kernels]
  [./cy_elastic]
    type = CosseratStressDivergenceTensors
    use_displaced_mesh = false
    variable = disp_y
    component = 1
  [../]
  [./cz_elastic]
    type = CosseratStressDivergenceTensors
    use_displaced_mesh = false
    variable = disp_z
    component = 2
  [../]
  [./x_couple]
    type = StressDivergenceTensors
    use_displaced_mesh = false
    variable = wc_x
    displacements = 'wc_x wc_y wc_z'
    component = 0
    base_name = couple
  [../]
  [./x_moment]
    type = MomentBalancing
    use_displaced_mesh = false
    variable = wc_x
    component = 0
  [../]
  [./gravity]
    type = Gravity
    use_displaced_mesh = false
    variable = disp_z
    value = -10E-6 # remember this is in MPa
  [../]
[]
[AuxVariables]
  [./disp_x]
  [../]
  [./wc_y]
  [../]
  [./wc_z]
  [../]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mc_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mc_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./wp_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./wp_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./wp_shear_f]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./wp_tensile_f]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mc_shear_f]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mc_tensile_f]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yx
    index_i = 1
    index_j = 0
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zx
    index_i = 2
    index_j = 0
  [../]
  [./stress_zy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zy
    index_i = 2
    index_j = 1
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./mc_shear]
    type = MaterialStdVectorAux
    index = 0
    property = mc_plastic_internal_parameter
    variable = mc_shear
  [../]
  [./mc_tensile]
    type = MaterialStdVectorAux
    index = 1
    property = mc_plastic_internal_parameter
    variable = mc_tensile
  [../]
  [./wp_shear]
    type = MaterialStdVectorAux
    index = 0
    property = wp_plastic_internal_parameter
    variable = wp_shear
  [../]
  [./wp_tensile]
    type = MaterialStdVectorAux
    index = 1
    property = wp_plastic_internal_parameter
    variable = wp_tensile
  [../]
  [./mc_shear_f]
    type = MaterialStdVectorAux
    index = 6
    property = mc_plastic_yield_function
    variable = mc_shear_f
  [../]
  [./mc_tensile_f]
    type = MaterialStdVectorAux
    index = 0
    property = mc_plastic_yield_function
    variable = mc_tensile_f
  [../]
  [./wp_shear_f]
    type = MaterialStdVectorAux
    index = 0
    property = wp_plastic_yield_function
    variable = wp_shear_f
  [../]
  [./wp_tensile_f]
    type = MaterialStdVectorAux
    index = 1
    property = wp_plastic_yield_function
    variable = wp_tensile_f
  [../]
[]
[BCs]
  [./no_y]
    type = DirichletBC
    variable = disp_y
    boundary = '11 12'
    value = 0.0
  [../]
  [./no_z]
    type = DirichletBC
    variable = disp_z
    boundary = '16'
    value = 0.0
  [../]
  [./no_wc_x]
    type = DirichletBC
    variable = wc_x
    boundary = '11 12'
    value = 0.0
  [../]
  [./roof]
    type = StickyBC
    variable = disp_z
    min_value = -3.0
    boundary = '18'
  [../]
[]
[Functions]
  [./ini_xx]
    type = ParsedFunction
    value = '-0.8*2500*10E-6*(400-z)'
  [../]
  [./ini_zz]
    type = ParsedFunction
    value = '-2500*10E-6*(400-z)'
  [../]
  [./excav_sideways]
    type = ParsedFunction
    vars = 'end_t ymin ymax  minval maxval slope'
    vals = '1.0   0    1500.0 1E-9  1      15'
    # excavation face at ymin+(ymax-ymin)*min(t/end_t,1)
    # slope is the distance over which the modulus reduces from maxval to minval
    value = 'if(y<ymin+(ymax-ymin)*min(t/end_t,1),minval,if(y<ymin+(ymax-ymin)*min(t/end_t,1)+slope,minval+(maxval-minval)*(y-(ymin+(ymax-ymin)*min(t/end_t,1)))/slope,maxval))'
  [../]
  [./density_sideways]
    type = ParsedFunction
    vars = 'end_t ymin ymax  minval maxval'
    vals = '1.0   0    1500.0 0     2500'
    value = 'if(y<ymin+(ymax-ymin)*min(t/end_t,1),minval,maxval)'
  [../]
[]
[UserObjects]
  [./mc_coh_strong_harden]
    type = TensorMechanicsHardeningExponential
    value_0 = 2.99 # MPa
    value_residual = 3.01 # MPa
    rate = 1.0
  [../]
  [./mc_fric]
    type = TensorMechanicsHardeningConstant
    value = 0.65 # 37deg
  [../]
  [./mc_dil]
    type = TensorMechanicsHardeningConstant
    value = 0.15 # 8deg
  [../]
  [./mc_tensile_str_strong_harden]
    type = TensorMechanicsHardeningExponential
    value_0 = 1.0 # MPa
    value_residual = 1.0 # MPa
    rate = 1.0
  [../]
  [./mc_compressive_str]
    type = TensorMechanicsHardeningCubic
    value_0 = 100 # Large!
    value_residual = 100
    internal_limit = 0.1
  [../]
  [./wp_coh_harden]
    type = TensorMechanicsHardeningCubic
    value_0 = 0.1
    value_residual = 0.1
    internal_limit = 10
  [../]
  [./wp_tan_fric]
    type = TensorMechanicsHardeningConstant
    value = 0.36 # 20deg
  [../]
  [./wp_tan_dil]
    type = TensorMechanicsHardeningConstant
    value = 0.18 # 10deg
  [../]
  [./wp_tensile_str_harden]
    type = TensorMechanicsHardeningCubic
    value_0 = 0.1
    value_residual = 0.1
    internal_limit = 10
  [../]
  [./wp_compressive_str_soften]
    type = TensorMechanicsHardeningCubic
    value_0 = 100
    value_residual = 1.0
    internal_limit = 1.0
  [../]
[]
[Materials]
  [./elasticity_tensor_0]
    type = ComputeLayeredCosseratElasticityTensor
    block = 0
    young = 8E3 # MPa
    poisson = 0.25
    layer_thickness = 1.0
    joint_normal_stiffness = 1E9 # huge
    joint_shear_stiffness = 1E3 # MPa
  [../]
  [./elasticity_tensor_1]
    type = ComputeLayeredCosseratElasticityTensor
    block = 1
    young = 8E3 # MPa
    poisson = 0.25
    layer_thickness = 1.0
    joint_normal_stiffness = 1E9 # huge
    joint_shear_stiffness = 1E3 # MPa
    elasticity_tensor_prefactor = excav_sideways
  [../]
  [./strain]
    type = ComputeCosseratIncrementalSmallStrain
    eigenstrain_names = ini_stress
  [../]
  [./ini_stress]
    type = ComputeEigenstrainFromInitialStress
    eigenstrain_name = ini_stress
    initial_stress = 'ini_xx 0 0  0 ini_xx 0  0 0 ini_zz'
  [../]
  [./stress_0]
    type = ComputeMultipleInelasticCosseratStress
    block = 0
    inelastic_models = 'mc wp'
    cycle_models = true
    relative_tolerance = 2.0
    absolute_tolerance = 1E6
    max_iterations = 1
    tangent_operator = nonlinear
    perform_finite_strain_rotations = false
  [../]
  [./stress_1]
    # this is needed so as to correctly apply the initial stress
    type = ComputeMultipleInelasticCosseratStress
    block = 1
    inelastic_models = ''
    relative_tolerance = 2.0
    absolute_tolerance = 1E6
    max_iterations = 1
    tangent_operator = nonlinear
    perform_finite_strain_rotations = false
  [../]
  [./mc]
    type = CappedMohrCoulombCosseratStressUpdate
    warn_about_precision_loss = false
    host_youngs_modulus = 8E3
    host_poissons_ratio = 0.25
    base_name = mc
    tensile_strength = mc_tensile_str_strong_harden
    compressive_strength = mc_compressive_str
    cohesion = mc_coh_strong_harden
    friction_angle = mc_fric
    dilation_angle = mc_dil
    max_NR_iterations = 100000
    smoothing_tol = 0.1 # MPa  # Must be linked to cohesion
    yield_function_tol = 1E-9 # MPa.  this is essentially the lowest possible without lots of precision loss
    perfect_guess = true
    min_step_size = 1.0
  [../]
  [./wp]
    type = CappedWeakPlaneCosseratStressUpdate
    warn_about_precision_loss = false
    base_name = wp
    cohesion = wp_coh_harden
    tan_friction_angle = wp_tan_fric
    tan_dilation_angle = wp_tan_dil
    tensile_strength = wp_tensile_str_harden
    compressive_strength = wp_compressive_str_soften
    max_NR_iterations = 10000
    tip_smoother = 0.1
    smoothing_tol = 0.1 # MPa  # Note, this must be tied to cohesion, otherwise get no possible return at cone apex
    yield_function_tol = 1E-11 # MPa.  this is essentially the lowest possible without lots of precision loss
    perfect_guess = true
    min_step_size = 1.0E-3
  [../]
  [./density_0]
    type = GenericConstantMaterial
    block = 0
    prop_names = density
    prop_values = 2500
  [../]
  [./density_1]
    type = GenericFunctionMaterial
    block = 1
    prop_names = density
    prop_values = density_sideways
  [../]
[]
[Postprocessors]
  [./subs]
    type = PointValue
    point = '0 0 400'
    variable = disp_z
    use_displaced_mesh = false
  [../]
[]
[Preconditioning]
  [./SMP]
    type = SMP
    full = true
  []
[]
[Executioner]
  type = Transient
  solve_type = 'NEWTON'
  petsc_options = '-snes_converged_reason'
  petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -ksp_type -ksp_gmres_restart'
  petsc_options_value = ' asm      2              lu            gmres     200'
  line_search = bt
  nl_abs_tol = 1e-3
  nl_rel_tol = 1e-5
  l_max_its = 30
  nl_max_its = 100
  start_time = 0.0
  dt = 0.01 # 1 element per step
  end_time = 1.0
[]
[Outputs]
  file_base = cosserat_mc_wp_sticky_longitudinal
  interval = 1
  print_linear_residuals = false
  exodus = true
  csv = true
  console = true
  #[./console]
  #  type = Console
  #  output_linear = false
  #[../]
[]
(modules/tensor_mechanics/test/tests/capped_mohr_coulomb/random3.i)
# Using CappedMohrCoulomb with Mohr-Coulomb failure only
# Plasticity models:
# Cohesion = 1MPa
# Friction angle = dilation angle = 0.5
#
# Lame lambda = 1GPa.  Lame mu = 1.3GPa
#
# A line of elements is perturbed randomly, and return to the yield surface at each quadpoint is checked
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1000
  ny = 1234
  nz = 1
  xmin = 0
  xmax = 1000
  ymin = 0
  ymax = 1234
  zmin = 0
  zmax = 1
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]
[ICs]
  [./x]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_x
  [../]
  [./y]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_y
  [../]
  [./z]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_z
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '0'
  [../]
[]
[AuxVariables]
  [./f0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f3]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f4]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f5]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./f0]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 6
    variable = f0
  [../]
  [./f1]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 7
    variable = f1
  [../]
  [./f2]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 8
    variable = f2
  [../]
  [./f3]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 9
    variable = f3
  [../]
  [./f4]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 10
    variable = f4
  [../]
  [./f5]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 11
    variable = f5
  [../]
  [./int0]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = int0
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
[]
[Postprocessors]
  [./tot_iters]
    type = ElementIntegralMaterialProperty
    mat_prop = plastic_NR_iterations
    outputs = console
  [../]
  [./intnl_max]
    type = ElementExtremeValue
    variable = int0
    outputs = console
  [../]
  [./raw_f0]
    type = ElementExtremeValue
    variable = f0
    outputs = console
  [../]
  [./raw_f1]
    type = ElementExtremeValue
    variable = f1
    outputs = console
  [../]
  [./raw_f2]
    type = ElementExtremeValue
    variable = f2
    outputs = console
  [../]
  [./raw_f3]
    type = ElementExtremeValue
    variable = f3
    outputs = console
  [../]
  [./raw_f4]
    type = ElementExtremeValue
    variable = f4
    outputs = console
  [../]
  [./raw_f5]
    type = ElementExtremeValue
    variable = f5
    outputs = console
  [../]
  [./iter]
    type = ElementExtremeValue
    variable = iter
    outputs = console
  [../]
  [./f0]
    type = FunctionValuePostprocessor
    function = should_be_zero0_fcn
  [../]
  [./f1]
    type = FunctionValuePostprocessor
    function = should_be_zero1_fcn
  [../]
  [./f2]
    type = FunctionValuePostprocessor
    function = should_be_zero2_fcn
  [../]
  [./f3]
    type = FunctionValuePostprocessor
    function = should_be_zero3_fcn
  [../]
  [./f4]
    type = FunctionValuePostprocessor
    function = should_be_zero4_fcn
  [../]
  [./f5]
    type = FunctionValuePostprocessor
    function = should_be_zero5_fcn
  [../]
[]
[Functions]
  [./should_be_zero0_fcn]
    type = ParsedFunction
    value = 'if(a<1E-1,0,a)'
    vars = 'a'
    vals = 'raw_f0'
  [../]
  [./should_be_zero1_fcn]
    type = ParsedFunction
    value = 'if(a<1E-1,0,a)'
    vars = 'a'
    vals = 'raw_f1'
  [../]
  [./should_be_zero2_fcn]
    type = ParsedFunction
    value = 'if(a<1E-1,0,a)'
    vars = 'a'
    vals = 'raw_f2'
  [../]
  [./should_be_zero3_fcn]
    type = ParsedFunction
    value = 'if(a<1E-1,0,a)'
    vars = 'a'
    vals = 'raw_f3'
  [../]
  [./should_be_zero4_fcn]
    type = ParsedFunction
    value = 'if(a<1E-1,0,a)'
    vars = 'a'
    vals = 'raw_f4'
  [../]
  [./should_be_zero5_fcn]
    type = ParsedFunction
    value = 'if(a<1E-1,0,a)'
    vars = 'a'
    vals = 'raw_f5'
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 1E12
  [../]
  [./cs]
    type = TensorMechanicsHardeningConstant
    value = 1E12
  [../]
  [./coh]
    type = TensorMechanicsHardeningCubic
    value_0 = 1E6
    value_residual = 0
    internal_limit = 1
  [../]
  [./ang]
    type = TensorMechanicsHardeningCubic
    value_0 = 0.9
    value_residual = 0.2
    internal_limit = 1
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '1E9 1.3E9'
  [../]
  [./tensile]
    type = CappedMohrCoulombStressUpdate
    tensile_strength = ts
    compressive_strength = cs
    cohesion = coh
    friction_angle = ang
    dilation_angle = ang
    smoothing_tol = 1E5
    max_NR_iterations = 100
    yield_function_tol = 1.0E-1
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = tensile
    perform_finite_strain_rotations = false
  [../]
[]
[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = random3
  csv = true
[]
(modules/tensor_mechanics/examples/coal_mining/cosserat_wp_only.i)
# Strata deformation and fracturing around a coal mine
#
# A 2D geometry is used that simulates a transverse section of
# the coal mine.  The model is actually 3D, but the "x"
# dimension is only 10m long, meshed with 1 element, and
# there is no "x" displacement.  The mine is 300m deep
# and just the roof is studied (0<=z<=300).  The model sits
# between 0<=y<=450.  The excavation sits in 0<=y<=150.  This
# is a "half model": the boundary conditions are such that
# the model simulates an excavation sitting in -150<=y<=150
# inside a model of the region -450<=y<=450.  The
# excavation height is 3m (ie, the excavation lies within
# 0<=z<=3).  Mining is simulated by moving the excavation's
# roof down, until disp_z=-3 at t=1.
# Time is meaningless in this example
# as quasi-static solutions are sought at each timestep, but
# the number of timesteps controls the resolution of the
# process.
#
# The boundary conditions are:
#  - disp_x = 0 everywhere
#  - disp_y = 0 at y=0 and y=450
#  - disp_z = 0 for y>150
#  - disp_z = -3 at maximum, for 0<=y<=150.  See excav function.
# That is, rollers on the sides, free at top, and prescribed at bottom.
#
# The small strain formulation is used.
#
# All stresses are measured in MPa.  The initial stress is consistent with
# the weight force from density 2500 kg/m^3, ie, stress_zz = -0.025*(300-z) MPa
# where gravity = 10 m.s^-2 = 1E-5 MPa m^2/kg.  The maximum and minimum
# principal horizontal stresses are assumed to be equal to 0.8*stress_zz.
#
# Below you will see Drucker-Prager parameters and AuxVariables, etc.
# These are not actally used in this example.
#
# Material properties:
# Young's modulus = 8 GPa
# Poisson's ratio = 0.25
# Cosserat layer thickness = 1 m
# Cosserat-joint normal stiffness = large
# Cosserat-joint shear stiffness = 1 GPa
# Weak-plane cohesion = 0.1 MPa
# Weak-plane friction angle = 20 deg
# Weak-plane dilation angle = 10 deg
# Weak-plane tensile strength = 0.1 MPa
# Weak-plane compressive strength = 100 MPa, varying down to 1 MPa when tensile strain = 1
#
[Mesh]
  [generated_mesh]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 1
    xmin = -5
    xmax = 5
    nz = 40
    zmin = 0
    zmax = 400
    bias_z = 1.1
    ny = 30 # make this a multiple of 3, so y=150 is at a node
    ymin = 0
    ymax = 450
  []
  [left]
    type = SideSetsAroundSubdomainGenerator
    new_boundary = 11
    normal = '0 -1 0'
    input = generated_mesh
  []
  [right]
    type = SideSetsAroundSubdomainGenerator
    new_boundary = 12
    normal = '0 1 0'
    input = left
  []
  [front]
    type = SideSetsAroundSubdomainGenerator
    new_boundary = 13
    normal = '-1 0 0'
    input = right
  []
  [back]
    type = SideSetsAroundSubdomainGenerator
    new_boundary = 14
    normal = '1 0 0'
    input = front
  []
  [top]
    type = SideSetsAroundSubdomainGenerator
    new_boundary = 15
    normal = '0 0 1'
    input = back
  []
  [bottom]
    type = SideSetsAroundSubdomainGenerator
    new_boundary = 16
    normal = '0 0 -1'
    input = top
  []
  [excav]
    type = SubdomainBoundingBoxGenerator
    block_id = 1
    bottom_left = '-5 0 0'
    top_right = '5 150 3'
    input = bottom
  []
  [roof]
    type = SideSetsBetweenSubdomainsGenerator
    new_boundary = 21
    primary_block = 0
    paired_block = 1
    input = excav
  []
  [hole]
    type = BlockDeletionGenerator
    block = 1
    input = roof
  []
[]
[GlobalParams]
  block = 0
  perform_finite_strain_rotations = false
  displacements = 'disp_x disp_y disp_z'
  Cosserat_rotations = 'wc_x wc_y wc_z'
[]
[Variables]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
  [./wc_x]
  [../]
[]
[Kernels]
  [./cy_elastic]
    type = CosseratStressDivergenceTensors
    use_displaced_mesh = false
    variable = disp_y
    component = 1
  [../]
  [./cz_elastic]
    type = CosseratStressDivergenceTensors
    use_displaced_mesh = false
    variable = disp_z
    component = 2
  [../]
  [./x_couple]
    type = StressDivergenceTensors
    use_displaced_mesh = false
    variable = wc_x
    displacements = 'wc_x wc_y wc_z'
    component = 0
    base_name = couple
  [../]
  [./x_moment]
    type = MomentBalancing
    use_displaced_mesh = false
    variable = wc_x
    component = 0
  [../]
  [./gravity]
    type = Gravity
    use_displaced_mesh = false
    variable = disp_z
    value = -10E-6
  [../]
[]
[AuxVariables]
  [./disp_x]
  [../]
  [./wc_y]
  [../]
  [./wc_z]
  [../]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./dp_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./dp_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./wp_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./wp_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./wp_shear_f]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./wp_tensile_f]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./dp_shear_f]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./dp_tensile_f]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./dp_shear]
    type = MaterialStdVectorAux
    index = 0
    property = dp_plastic_internal_parameter
    variable = dp_shear
  [../]
  [./dp_tensile]
    type = MaterialStdVectorAux
    index = 1
    property = dp_plastic_internal_parameter
    variable = dp_tensile
  [../]
  [./wp_shear]
    type = MaterialStdVectorAux
    index = 0
    property = wp_plastic_internal_parameter
    variable = wp_shear
  [../]
  [./wp_tensile]
    type = MaterialStdVectorAux
    index = 1
    property = wp_plastic_internal_parameter
    variable = wp_tensile
  [../]
  [./dp_shear_f]
    type = MaterialStdVectorAux
    index = 0
    property = dp_plastic_yield_function
    variable = dp_shear_f
  [../]
  [./dp_tensile_f]
    type = MaterialStdVectorAux
    index = 1
    property = dp_plastic_yield_function
    variable = dp_tensile_f
  [../]
  [./wp_shear_f]
    type = MaterialStdVectorAux
    index = 0
    property = wp_plastic_yield_function
    variable = wp_shear_f
  [../]
  [./wp_tensile_f]
    type = MaterialStdVectorAux
    index = 1
    property = wp_plastic_yield_function
    variable = wp_tensile_f
  [../]
[]
[BCs]
  [./no_y]
    type = DirichletBC
    variable = disp_y
    boundary = '11 12 16 21' # note addition of 16 and 21
    value = 0.0
  [../]
  [./no_z]
    type = DirichletBC
    variable = disp_z
    boundary = '16'
    value = 0.0
  [../]
  [./no_wc_x]
    type = DirichletBC
    variable = wc_x
    boundary = '11 12'
    value = 0.0
  [../]
  [./roof]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 21
    function = excav_sideways
  [../]
[]
[Functions]
  [./ini_xx]
    type = ParsedFunction
    value = '-0.8*2500*10E-6*(400-z)'
  [../]
  [./ini_zz]
    type = ParsedFunction
    value = '-2500*10E-6*(400-z)'
  [../]
  [./excav_sideways]
    type = ParsedFunction
    vars = 'end_t ymin ymax  e_h  closure_dist'
    vals = '1.0   0    150.0 -3.0 15.0'
    value = 'e_h*max(min((t/end_t*(ymax-ymin)+ymin-y)/closure_dist,1),0)'
  [../]
  [./excav_downwards]
    type = ParsedFunction
    vars = 'end_t ymin ymax  e_h  closure_dist'
    vals = '1.0   0    150.0 -3.0 15.0'
    value = 'e_h*t/end_t*max(min(((ymax-ymin)+ymin-y)/closure_dist,1),0)'
  [../]
[]
[UserObjects]
  [./dp_coh_strong_harden]
    type = TensorMechanicsHardeningExponential
    value_0 = 2.9 # MPa
    value_residual = 3.1 # MPa
    rate = 1.0
  [../]
  [./dp_fric]
    type = TensorMechanicsHardeningConstant
    value = 0.65 # 37deg
  [../]
  [./dp_dil]
    type = TensorMechanicsHardeningConstant
    value = 0.65
  [../]
  [./dp_tensile_str_strong_harden]
    type = TensorMechanicsHardeningExponential
    value_0 = 1.0 # MPa
    value_residual = 1.4 # MPa
    rate = 1.0
  [../]
  [./dp_compressive_str]
    type = TensorMechanicsHardeningConstant
    value = 1.0E3 # Large!
  [../]
  [./drucker_prager_model]
    type = TensorMechanicsPlasticDruckerPrager
    mc_cohesion = dp_coh_strong_harden
    mc_friction_angle = dp_fric
    mc_dilation_angle = dp_dil
    internal_constraint_tolerance = 1 # irrelevant here
    yield_function_tolerance = 1      # irrelevant here
  [../]
  [./wp_coh_harden]
    type = TensorMechanicsHardeningCubic
    value_0 = 0.1
    value_residual = 0.1
    internal_limit = 10
  [../]
  [./wp_tan_fric]
    type = TensorMechanicsHardeningConstant
    value = 0.36 # 20deg
  [../]
  [./wp_tan_dil]
    type = TensorMechanicsHardeningConstant
    value = 0.18 # 10deg
  [../]
  [./wp_tensile_str_harden]
    type = TensorMechanicsHardeningCubic
    value_0 = 0.1
    value_residual = 0.1
    internal_limit = 10
  [../]
  [./wp_compressive_str_soften]
    type = TensorMechanicsHardeningCubic
    value_0 = 100
    value_residual = 1.0
    internal_limit = 1.0
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeLayeredCosseratElasticityTensor
    young = 8E3 # MPa
    poisson = 0.25
    layer_thickness = 1.0
    joint_normal_stiffness = 1E9 # huge
    joint_shear_stiffness = 1E3
  [../]
  [./strain]
    type = ComputeCosseratIncrementalSmallStrain
    eigenstrain_names = ini_stress
  [../]
  [./ini_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = 'ini_xx 0 0  0 ini_xx 0  0 0 ini_zz'
    eigenstrain_name = ini_stress
  [../]
  [./stress]
    type = ComputeMultipleInelasticCosseratStress
    block = 0
    inelastic_models = 'wp'
    relative_tolerance = 2.0
    absolute_tolerance = 1E6
    max_iterations = 1
    tangent_operator = nonlinear
    perform_finite_strain_rotations = false
  [../]
  [./dp]
    type = CappedDruckerPragerCosseratStressUpdate
    block = 0
    warn_about_precision_loss = false
    host_youngs_modulus = 8E3
    host_poissons_ratio = 0.25
    base_name = dp
    DP_model = drucker_prager_model
    tensile_strength = dp_tensile_str_strong_harden
    compressive_strength = dp_compressive_str
    max_NR_iterations = 100000
    tip_smoother = 0.1E1
    smoothing_tol = 0.1E1 # MPa  # Must be linked to cohesion
    yield_function_tol = 1E-11 # MPa.  this is essentially the lowest possible without lots of precision loss
    perfect_guess = true
    min_step_size = 1.0
  [../]
  [./wp]
    type = CappedWeakPlaneCosseratStressUpdate
    block = 0
    warn_about_precision_loss = false
    base_name = wp
    cohesion = wp_coh_harden
    tan_friction_angle = wp_tan_fric
    tan_dilation_angle = wp_tan_dil
    tensile_strength = wp_tensile_str_harden
    compressive_strength = wp_compressive_str_soften
    max_NR_iterations = 10000
    tip_smoother = 0.1
    smoothing_tol = 0.1 # MPa  # Note, this must be tied to cohesion, otherwise get no possible return at cone apex
    yield_function_tol = 1E-11 # MPa.  this is essentially the lowest possible without lots of precision loss
    perfect_guess = true
    min_step_size = 1.0E-3
  [../]
  [./density]
    type = GenericConstantMaterial
    prop_names = density
    prop_values = 2500
  [../]
[]
[Postprocessors]
  [./subsidence]
    type = PointValue
    point = '0 0 400'
    variable = disp_z
    use_displaced_mesh = false
  [../]
[]
[Preconditioning]
  [./SMP]
    type = SMP
    full = true
  []
[]
[Executioner]
  type = Transient
  solve_type = 'NEWTON'
  petsc_options = '-snes_converged_reason'
  petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -ksp_type -ksp_gmres_restart'
  petsc_options_value = ' asm      2              lu            gmres     200'
  line_search = bt
  nl_abs_tol = 1e-3
  nl_rel_tol = 1e-5
  l_max_its = 30
  nl_max_its = 1000
  start_time = 0.0
  dt = 0.2
  end_time = 0.2
[]
[Outputs]
  file_base = cosserat_wp_only
  interval = 1
  print_linear_residuals = false
  csv = true
  exodus = true
  [./console]
    type = Console
    output_linear = false
  [../]
[]
(modules/tensor_mechanics/test/tests/mean_cap_TC/random02.i)
# apply many random large deformations, checking that the algorithm returns correctly to
# the yield surface each time.
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1000
  ny = 125
  nz = 1
  xmin = 0
  xmax = 1000
  ymin = 0
  ymax = 125
  zmin = 0
  zmax = 1
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[ICs]
  [./x]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_x
  [../]
  [./y]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_y
  [../]
  [./z]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_z
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '0'
  [../]
[]
[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
[]
[Postprocessors]
  [./max_yield_fcn]
    type = ElementExtremeValue
    variable = yield_fcn
    outputs = 'console'
  [../]
  [./should_be_zero]
    type = FunctionValuePostprocessor
    function = should_be_zero_fcn
  [../]
  [./av_iter]
    type = ElementAverageValue
    variable = iter
    outputs = 'console'
  [../]
[]
[Functions]
  [./should_be_zero_fcn]
    type = ParsedFunction
    value = 'if(a<1E-3,0,a)'
    vars = 'a'
    vals = 'max_yield_fcn'
  [../]
[]
[UserObjects]
  [./tensile_strength]
    type = TensorMechanicsHardeningConstant
    value = 1
  [../]
  [./compressive_strength]
    type = TensorMechanicsHardeningConstant
    value = -1.5
  [../]
  [./cap]
    type = TensorMechanicsPlasticMeanCapTC
    tensile_strength = tensile_strength
    compressive_strength = compressive_strength
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-9
    use_custom_returnMap = true
    use_custom_cto = true
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0.7E7 1E7'
  [../]
  [./strain]
    type = ComputeIncrementalSmallStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    max_NR_iterations = 2
    ep_plastic_tolerance = 1E-6
    plastic_models = cap
  [../]
[]
[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = random02
  exodus = false
  [./csv]
    type = CSV
  [../]
[]
(modules/tensor_mechanics/test/tests/jacobian/cto24.i)
# CappedDruckerPrager
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  block = 0
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 10
  [../]
  [./cs]
    type = TensorMechanicsHardeningConstant
    value = 10
  [../]
  [./mc_coh]
    type = TensorMechanicsHardeningConstant
    value = 10
  [../]
  [./phi]
    type = TensorMechanicsHardeningConstant
    value = 0.8
  [../]
  [./psi]
    type = TensorMechanicsHardeningConstant
    value = 0.4
  [../]
  [./dp]
    type = TensorMechanicsPlasticDruckerPragerHyperbolic
    mc_cohesion = mc_coh
    mc_friction_angle = phi
    mc_dilation_angle = psi
    yield_function_tolerance = 1E-11     # irrelevant here
    internal_constraint_tolerance = 1E-9 # irrelevant here
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    block = 0
    lambda = 0.7
    shear_modulus = 1.0
  [../]
  [./strain]
    type = ComputeIncrementalSmallStrain
    displacements = 'disp_x disp_y disp_z'
    eigenstrain_names = ini_stress
  [../]
  [./ini_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = '10 0 0  0 10 0  0 0 10'
    eigenstrain_name = ini_stress
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    inelastic_models = dp
  [../]
  [./dp]
    type = CappedDruckerPragerStressUpdate
    DP_model = dp
    tensile_strength = ts
    compressive_strength = cs
    yield_function_tol = 1E-11
    tip_smoother = 1
    smoothing_tol = 1
  [../]
[]
[Preconditioning]
  [./andy]
    type = SMP
    full = true
    petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it -snes_type'
    petsc_options_value = 'bcgs bjacobi 1E-15 1E-10 10000 test'
  [../]
[]
[Executioner]
  type = Transient
  solve_type = Newton
[]
(modules/tensor_mechanics/test/tests/jacobian/cto15.i)
# Jacobian check for nonlinear, multi-surface plasticity
# This returns to the edge of Mohr Coulomb.
# This is a very nonlinear test and a delicate test because it perturbs around
# an edge of the yield function where some derivatives are not well defined
#
# Plasticity models:
# Mohr-Coulomb with cohesion = 40MPa, friction angle = 35deg, dilation angle = 5deg
# Tensile with strength = 1MPa
#
# Lame lambda = 1GPa.  Lame mu = 1.3GPa
#
# NOTE: The yield function tolerances here are set at 100-times what i would usually use
# This is because otherwise the test fails on the 'pearcey' architecture.
# This is because identical stress tensors yield slightly different eigenvalues
# (and hence return-map residuals) on 'pearcey' than elsewhere, which results in
# a different number of NR iterations are needed to return to the yield surface.
# This is presumably because of compiler internals, or the BLAS routines being
# optimised differently or something similar.
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./linesearch]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./ld]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./constr_added]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int3]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int4]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int5]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int6]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int7]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int8]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int0]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./linesearch]
    type = MaterialRealAux
    property = plastic_linesearch_needed
    variable = linesearch
  [../]
  [./ld]
    type = MaterialRealAux
    property = plastic_linear_dependence_encountered
    variable = ld
  [../]
  [./constr_added]
    type = MaterialRealAux
    property = plastic_constraints_added
    variable = constr_added
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./int0]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    variable = int0
    index = 0
  [../]
  [./int1]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    variable = int1
    index = 1
  [../]
  [./int2]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    variable = int2
    index = 2
  [../]
  [./int3]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    variable = int3
    index = 3
  [../]
  [./int4]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    variable = int4
    index = 4
  [../]
  [./int5]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    variable = int5
    index = 5
  [../]
  [./int6]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    variable = int6
    index = 6
  [../]
  [./int7]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    variable = int7
    index = 7
  [../]
  [./int8]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    variable = int8
    index = 8
  [../]
[]
[Postprocessors]
  [./max_int0]
    type = ElementExtremeValue
    variable = int0
    outputs = console
  [../]
  [./max_int1]
    type = ElementExtremeValue
    variable = int1
    outputs = console
  [../]
  [./max_int2]
    type = ElementExtremeValue
    variable = int2
    outputs = console
  [../]
  [./max_int3]
    type = ElementExtremeValue
    variable = int3
    outputs = console
  [../]
  [./max_int4]
    type = ElementExtremeValue
    variable = int4
    outputs = console
  [../]
  [./max_int5]
    type = ElementExtremeValue
    variable = int5
    outputs = console
  [../]
  [./max_int6]
    type = ElementExtremeValue
    variable = int6
    outputs = console
  [../]
  [./max_int7]
    type = ElementExtremeValue
    variable = int7
    outputs = console
  [../]
  [./max_int8]
    type = ElementExtremeValue
    variable = int8
    outputs = console
  [../]
  [./max_iter]
    type = ElementExtremeValue
    variable = iter
    outputs = console
  [../]
  [./av_linesearch]
    type = ElementAverageValue
    variable = linesearch
    outputs = 'console csv'
  [../]
  [./av_ld]
    type = ElementAverageValue
    variable = ld
    outputs = 'console csv'
  [../]
  [./av_constr_added]
    type = ElementAverageValue
    variable = constr_added
    outputs = 'console csv'
  [../]
  [./av_iter]
    type = ElementAverageValue
    variable = iter
    outputs = 'console csv'
  [../]
[]
[UserObjects]
  [./mc_coh]
    type = TensorMechanicsHardeningConstant
    value = 4E1
  [../]
  [./mc_phi]
    type = TensorMechanicsHardeningConstant
    value = 35
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = TensorMechanicsHardeningConstant
    value = 5
    convert_to_radians = true
  [../]
  [./mc]
    type = TensorMechanicsPlasticMohrCoulombMulti
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    yield_function_tolerance = 1.0E-4  # Note larger value
    shift = 1.0E-4                     # Note larger value
    internal_constraint_tolerance = 1.0E-7
  [../]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 1E2
  [../]
  [./tensile]
    type = TensorMechanicsPlasticTensileMulti
    tensile_strength = ts
    yield_function_tolerance = 1.0E-4  # Note larger value
    shift = 1.0E-4                     # Note larger value
    internal_constraint_tolerance = 1.0E-7
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '1.0E3 1.3E3'
  [../]
  [./strain]
    type = ComputeIncrementalSmallStrain
    displacements = 'disp_x disp_y disp_z'
    eigenstrain_names = ini_stress
  [../]
  [./ini_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = '100.1 0.1 -0.2  0.1 0.9 0  -0.2 0 1.1'
    eigenstrain_name = ini_stress
  [../]
  [./multi]
    type = ComputeMultiPlasticityStress
    ep_plastic_tolerance = 1E-7
    plastic_models = 'tensile mc'
    max_NR_iterations = 5
    specialIC = 'rock'
    deactivation_scheme = 'safe'
    min_stepsize = 1
    max_stepsize_for_dumb = 1
    tangent_operator = nonlinear
  [../]
[]
[Preconditioning]
  [./andy]
    type = SMP
    full = true
    petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it -snes_type'
    petsc_options_value = 'bcgs bjacobi 1E-15 1E-10 10000 test'
  [../]
[]
[Executioner]
  type = Transient
  solve_type = Newton
  end_time = 1
[]
[Outputs]
  file_base = cto15
  exodus = false
  csv = true
[]
(modules/tensor_mechanics/test/tests/tensile/planar2.i)
# checking for small deformation
# A single element is stretched by 1E-6m in all directions, with lame mu = 1E6, so trial stress is 2Pa in principal directions
# tensile_strength is set to 1Pa
# Then the final stress should return to the all principal stresses being 1.0 (up to tolerance), and internal parameter = (0.5+0.5+0.5)E-6 = 1.5E-6
# Using 'planar' Tensile plasticity
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    incremental = true
    strain = finite
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '1E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '1E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z'
  [../]
[]
[AuxVariables]
  [./f0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./f0_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f0
  [../]
  [./f1_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f1
  [../]
  [./f2_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f2
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./intnl_auxk]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = intnl
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = f0
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = f1
  [../]
  [./f2]
    type = PointValue
    point = '0 0 0'
    variable = f2
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
    outputs = console
  [../]
  [./intnl]
    type = PointValue
    point = '0 0 0'
    variable = intnl
  [../]
[]
[UserObjects]
  [./hard]
    type = TensorMechanicsHardeningConstant
    value = 1
  [../]
  [./tens]
    type = TensorMechanicsPlasticTensileMulti
    tensile_strength = hard
    shift = 1E-6
    yield_function_tolerance = 1E-6
    internal_constraint_tolerance = 1E-5
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E6'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-5
    plastic_models = tens
    debug_fspb = crash
    debug_jac_at_stress = '1 2 3 2 -4 -5 3 -5 10'
    debug_jac_at_pm = '0.1 0.2 0.3'
    debug_jac_at_intnl = 1E-6
    debug_stress_change = 1E-6
    debug_pm_change = '1E-6 1E-6 1E-6'
    debug_intnl_change = 1E-6
  [../]
[]
[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = planar2
  exodus = false
  [./csv]
    type = CSV
    [../]
[]
(modules/tensor_mechanics/test/tests/jacobian/cdp_cwp_coss01.i)
#Cosserat capped weak plane and capped drucker prager
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  Cosserat_rotations = 'wc_x wc_y wc_z'
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
  [./wc_x]
  [../]
  [./wc_y]
  [../]
[]
[Kernels]
  [./cx_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_x
    component = 0
  [../]
  [./cy_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_y
    component = 1
  [../]
  [./cz_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_z
    component = 2
  [../]
  [./x_couple]
    type = StressDivergenceTensors
    variable = wc_x
    displacements = 'wc_x wc_y wc_z'
    component = 0
    base_name = couple
  [../]
  [./y_couple]
    type = StressDivergenceTensors
    variable = wc_y
    displacements = 'wc_x wc_y wc_z'
    component = 1
    base_name = couple
  [../]
  [./x_moment]
    type = MomentBalancing
    variable = wc_x
    component = 0
  [../]
  [./y_moment]
    type = MomentBalancing
    variable = wc_y
    component = 1
  [../]
[]
[AuxVariables]
  [./wc_z]
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 10
  [../]
  [./cs]
    type = TensorMechanicsHardeningConstant
    value = 10
  [../]
  [./mc_coh]
    type = TensorMechanicsHardeningConstant
    value = 10
  [../]
  [./phi]
    type = TensorMechanicsHardeningConstant
    value = 0.8
  [../]
  [./psi]
    type = TensorMechanicsHardeningConstant
    value = 0.4
  [../]
  [./dp]
    type = TensorMechanicsPlasticDruckerPragerHyperbolic
    mc_cohesion = mc_coh
    mc_friction_angle = phi
    mc_dilation_angle = psi
    yield_function_tolerance = 1E-11     # irrelevant here
    internal_constraint_tolerance = 1E-9 # irrelevant here
  [../]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 2
  [../]
  [./tanphi]
    type = TensorMechanicsHardeningConstant
    value = 0.5
  [../]
  [./tanpsi]
    type = TensorMechanicsHardeningConstant
    value = 2.055555555556E-01
  [../]
  [./t_strength]
    type = TensorMechanicsHardeningConstant
    value = 1
  [../]
  [./c_strength]
    type = TensorMechanicsHardeningConstant
    value = 100
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeLayeredCosseratElasticityTensor
    young = 10.0
    poisson = 0.25
    layer_thickness = 10.0
    joint_normal_stiffness = 2.5
    joint_shear_stiffness = 2.0
  [../]
  [./strain]
    type = ComputeCosseratIncrementalSmallStrain
    eigenstrain_names = ini_stress
  [../]
  [./ini_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = '10 0 0  0 10 0  0 0 10'
    eigenstrain_name = ini_stress
  [../]
  [./admissible]
    type = ComputeMultipleInelasticCosseratStress
    inelastic_models = 'dp wp'
    relative_tolerance = 2.0
    absolute_tolerance = 1E6
    max_iterations = 1
  [../]
  [./dp]
    type = CappedDruckerPragerCosseratStressUpdate
    host_youngs_modulus = 10.0
    host_poissons_ratio = 0.25
    base_name = dp
    DP_model = dp
    tensile_strength = ts
    compressive_strength = cs
    yield_function_tol = 1E-11
    tip_smoother = 1
    smoothing_tol = 1
  [../]
  [./wp]
    type = CappedWeakPlaneCosseratStressUpdate
    base_name = wp
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    tensile_strength = t_strength
    compressive_strength = c_strength
    tip_smoother = 0.1
    smoothing_tol = 0.1
    yield_function_tol = 1E-11
  [../]
[]
[Preconditioning]
  [./andy]
    type = SMP
    full = true
    #petsc_options = '-snes_test_display'
    petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it -snes_type'
    petsc_options_value = 'bcgs bjacobi 1E-15 1E-10 10000 test'
  [../]
[]
[Executioner]
  solve_type = 'NEWTON'
  end_time = 1
  dt = 1
  type = Transient
[]
(modules/tensor_mechanics/test/tests/jacobian/cwpc02.i)
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  Cosserat_rotations = 'wc_x wc_y wc_z'
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
  [./wc_x]
  [../]
  [./wc_y]
  [../]
[]
[Kernels]
  [./cx_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_x
    component = 0
  [../]
  [./cy_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_y
    component = 1
  [../]
  [./cz_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_z
    component = 2
  [../]
  [./x_couple]
    type = StressDivergenceTensors
    variable = wc_x
    displacements = 'wc_x wc_y wc_z'
    component = 0
    base_name = couple
  [../]
  [./y_couple]
    type = StressDivergenceTensors
    variable = wc_y
    displacements = 'wc_x wc_y wc_z'
    component = 1
    base_name = couple
  [../]
  [./x_moment]
    type = MomentBalancing
    variable = wc_x
    component = 0
  [../]
  [./y_moment]
    type = MomentBalancing
    variable = wc_y
    component = 1
  [../]
[]
[AuxVariables]
  [./wc_z]
  [../]
[]
[UserObjects]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 1
  [../]
  [./tanphi]
    type = TensorMechanicsHardeningConstant
    value = 0.5
  [../]
  [./tanpsi]
    type = TensorMechanicsHardeningConstant
    value = 2.055555555556E-01
  [../]
  [./t_strength]
    type = TensorMechanicsHardeningConstant
    value = 1
  [../]
  [./c_strength]
    type = TensorMechanicsHardeningConstant
    value = 100
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeLayeredCosseratElasticityTensor
    young = 10.0
    poisson = 0.25
    layer_thickness = 10.0
    joint_normal_stiffness = 2.5
    joint_shear_stiffness = 2.0
  [../]
  [./strain]
    type = ComputeCosseratIncrementalSmallStrain
    eigenstrain_names = ini_stress
  [../]
  [./ini_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = '1 0.1 0.2  0.1 1 0.3  0 0 2' # not symmetric
    eigenstrain_name = ini_stress
  [../]
  [./admissible]
    type = ComputeMultipleInelasticCosseratStress
    inelastic_models = stress
  [../]
  [./stress]
    type = CappedWeakPlaneCosseratStressUpdate
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    tensile_strength = t_strength
    compressive_strength = c_strength
    tip_smoother = 0.1
    smoothing_tol = 0.1
    yield_function_tol = 1E-5
  [../]
[]
[Preconditioning]
  [./andy]
    type = SMP
    full = true
    petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it -snes_type'
    petsc_options_value = 'bcgs bjacobi 1E-15 1E-10 10000 test'
  [../]
[]
[Executioner]
  solve_type = 'NEWTON'
  end_time = 1
  dt = 1
  type = Transient
[]
(modules/tensor_mechanics/test/tests/jacobian/mc_update24.i)
# MC update version, with only MohrCoulomb, cohesion=40, friction angle = 35deg, psi = 5deg, smoothing_tol = 0.5
# Tensile strength = 1MPa
# Lame lambda = 1E3.  Lame mu = 1.3E3
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 1E2
  [../]
  [./cs]
    type = TensorMechanicsHardeningConstant
    value = 1E8
  [../]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 4E1
  [../]
  [./phi]
    type = TensorMechanicsHardeningConstant
    value = 35
    convert_to_radians = true
  [../]
  [./psi]
    type = TensorMechanicsHardeningConstant
    value = 5
    convert_to_radians = true
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    lambda = 1.0E3
    shear_modulus = 1.3E3
  [../]
  [./strain]
    type = ComputeIncrementalSmallStrain
    displacements = 'disp_x disp_y disp_z'
    eigenstrain_names = ini_stress
  [../]
  [./ini_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = '100.1 0.1 -0.2  0.1 0.9 0  -0.2 0 1.1'
    eigenstrain_name = ini_stress
  [../]
  [./cmc]
    type = CappedMohrCoulombStressUpdate
    tensile_strength = ts
    compressive_strength = cs
    cohesion = coh
    friction_angle = phi
    dilation_angle = psi
    smoothing_tol = 0.5
    yield_function_tol = 1.0E-12
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = cmc
    perform_finite_strain_rotations = false
  [../]
[]
[Preconditioning]
  [./andy]
    type = SMP
    full = true
    petsc_options_iname = '-snes_type'
    petsc_options_value = 'test'
  [../]
[]
[Executioner]
  type = Transient
  solve_type = Newton
[]
(modules/tensor_mechanics/test/tests/mohr_coulomb/small_deform1_uo.i)
# apply uniform stretch in x, y and z directions.
# With cohesion = 10, friction_angle = 60deg, tip_smoother = 4, the
# algorithm should return to
# sigma_m = (10*Cos(60) - 4)/Sin(60) = 1.1547
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '1E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '1E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z'
  [../]
[]
[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./f]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = f
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = f
  [../]
[]
[UserObjects]
  [./mc_coh]
    type = TensorMechanicsHardeningConstant
    value = 10
  [../]
  [./mc_phi]
    type = TensorMechanicsHardeningConstant
    value = 60
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = TensorMechanicsHardeningConstant
    value = 5
    convert_to_radians = true
  [../]
  [./mc]
    type = TensorMechanicsPlasticMohrCoulomb
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    mc_tip_smoother = 4
    mc_edge_smoother = 25
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-9
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = mc
    debug_fspb = crash
    debug_jac_at_stress = '10 0 0 0 10 0 0 0 10'
    debug_jac_at_pm = 1
    debug_jac_at_intnl = 1
    debug_stress_change = 1E-5
    debug_pm_change = 1E-6
    debug_intnl_change = 1E-6
  [../]
[]
[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform1_uo
  exodus = false
  [./csv]
    type = CSV
    [../]
[]
(modules/tensor_mechanics/test/tests/jacobian/mc_update18_cosserat.i)
# Cosserat version of Capped Mohr Columb (using StressUpdate)
# Compressive failure only, starting from a non-symmetric stress state, and
# using softening
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  Cosserat_rotations = 'wc_x wc_y wc_z'
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
  [./wc_x]
  [../]
  [./wc_y]
  [../]
[]
[Kernels]
  [./cx_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_x
    component = 0
  [../]
  [./cy_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_y
    component = 1
  [../]
  [./cz_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_z
    component = 2
  [../]
  [./x_couple]
    type = StressDivergenceTensors
    variable = wc_x
    displacements = 'wc_x wc_y wc_z'
    component = 0
    base_name = couple
  [../]
  [./y_couple]
    type = StressDivergenceTensors
    variable = wc_y
    displacements = 'wc_x wc_y wc_z'
    component = 1
    base_name = couple
  [../]
  [./x_moment]
    type = MomentBalancing
    variable = wc_x
    component = 0
  [../]
  [./y_moment]
    type = MomentBalancing
    variable = wc_y
    component = 1
  [../]
[]
[AuxVariables]
  [./wc_z]
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./cs]
    type = TensorMechanicsHardeningCubic
    value_0 = 1
    value_residual = 0
    internal_limit = 2E-3
  [../]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./ang]
    type = TensorMechanicsHardeningConstant
    value = 30
    convert_to_radians = true
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeLayeredCosseratElasticityTensor
    young = 3E3
    poisson = 0.2
    layer_thickness = 1.0
    joint_normal_stiffness = 1.0E3
    joint_shear_stiffness = 2.0E3
  [../]
  [./strain]
    type = ComputeCosseratIncrementalSmallStrain
    eigenstrain_names = ini_stress
  [../]
  [./ini_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = '-2 1 -0.5  -1 -1.9 0  -0.5 0 -3'
    eigenstrain_name = ini_stress
  [../]
  [./cmc]
    type = CappedMohrCoulombCosseratStressUpdate
    host_youngs_modulus = 3E3
    host_poissons_ratio = 0.2
    tensile_strength = ts
    compressive_strength = cs
    cohesion = coh
    friction_angle = ang
    dilation_angle = ang
    smoothing_tol = 0.1
    yield_function_tol = 1.0E-12
  [../]
  [./stress]
    type = ComputeMultipleInelasticCosseratStress
    inelastic_models = cmc
    perform_finite_strain_rotations = false
  [../]
[]
[Preconditioning]
  [./andy]
    type = SMP
    full = true
    petsc_options_iname = '-snes_type'
    petsc_options_value = 'test'
  [../]
[]
[Executioner]
  type = Transient
  solve_type = Newton
[]
(modules/tensor_mechanics/test/tests/capped_mohr_coulomb/small_deform5.i)
# Using CappedMohrCoulomb with tensile failure only
# A single element is incrementally stretched in the in the z and x directions
# This causes the return direction to be along the hypersurface sigma_III = 0
# and the resulting stresses are checked to lie on the expected yield surface
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    strain = finite
    incremental = true
    generate_output = 'max_principal_stress mid_principal_stress min_principal_stress stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '4*x*t'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = 'z*(t-0.5)'
  [../]
[]
[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = yield_fcn
  [../]
[]
[Postprocessors]
  [./s_I]
    type = PointValue
    point = '0 0 0'
    variable = max_principal_stress
  [../]
  [./s_II]
    type = PointValue
    point = '0 0 0'
    variable = mid_principal_stress
  [../]
  [./s_III]
    type = PointValue
    point = '0 0 0'
    variable = min_principal_stress
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 1
  [../]
  [./cs]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./ang]
    type = TensorMechanicsHardeningConstant
    value = 0.5
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '0 2.0'
  [../]
  [./tensile]
    type = CappedMohrCoulombStressUpdate
    tensile_strength = ts
    compressive_strength = cs
    cohesion = coh
    friction_angle = ang
    dilation_angle = ang
    smoothing_tol = 0.5
    yield_function_tol = 1.0E-12
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = tensile
    perform_finite_strain_rotations = false
  [../]
[]
[Executioner]
  end_time = 1
  dt = 0.1
  type = Transient
[]
[Outputs]
  file_base = small_deform5
  csv = true
[]
(modules/tensor_mechanics/test/tests/notched_plastic_block/biaxial_planar.i)
# Uses non-smoothed Mohr-Coulomb (via ComputeMultiPlasticityStress and TensorMechanicsPlasticMohrCoulombMulti) to simulate the following problem.
# A cubical block is notched around its equator.
# All of its outer surfaces have roller BCs, but the notched region is free to move as needed
# The block is initialised with a high hydrostatic tensile stress
# Without the notch, the BCs do not allow contraction of the block, and this stress configuration is admissible
# With the notch, however, the interior parts of the block are free to move in order to relieve stress, and this causes plastic failure
# The top surface is then pulled upwards (the bottom is fixed because of the roller BCs)
# This causes more failure
[Mesh]
  [generated_mesh]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 9
    ny = 9
    nz = 9
    xmin = 0
    xmax = 0.1
    ymin = 0
    ymax = 0.1
    zmin = 0
    zmax = 0.1
  []
  [block_to_remove_xmin]
    type = SubdomainBoundingBoxGenerator
    bottom_left = '-0.01 -0.01 0.045'
    top_right = '0.01 0.11 0.055'
    location = INSIDE
    block_id = 1
    input = generated_mesh
  []
  [block_to_remove_xmax]
    type = SubdomainBoundingBoxGenerator
    bottom_left = '0.09 -0.01 0.045'
    top_right = '0.11 0.11 0.055'
    location = INSIDE
    block_id = 1
    input = block_to_remove_xmin
  []
  [block_to_remove_ymin]
    type = SubdomainBoundingBoxGenerator
    bottom_left = '-0.01 -0.01 0.045'
    top_right = '0.11 0.01 0.055'
    location = INSIDE
    block_id = 1
    input = block_to_remove_xmax
  []
  [block_to_remove_ymax]
    type = SubdomainBoundingBoxGenerator
    bottom_left = '-0.01 0.09 0.045'
    top_right = '0.11 0.11 0.055'
    location = INSIDE
    block_id = 1
    input = block_to_remove_ymin
  []
  [remove_block]
    type = BlockDeletionGenerator
    block = 1
    input = block_to_remove_ymax
  []
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'max_principal_stress mid_principal_stress min_principal_stress stress_zz'
    eigenstrain_names = ini_stress
  [../]
[]
[Postprocessors]
  [./uz]
    type = PointValue
    point = '0 0 0.1'
    use_displaced_mesh = false
    variable = disp_z
  [../]
  [./s_zz]
    type = ElementAverageValue
    use_displaced_mesh = false
    variable = stress_zz
  [../]
  [./num_res]
    type = NumResidualEvaluations
  [../]
  [./nr_its]
    type = ElementAverageValue
    variable = num_iters
  [../]
  [./max_nr_its]
    type = ElementExtremeValue
    variable = num_iters
  [../]
  [./runtime]
    type = PerfGraphData
    data_type = TOTAL
    section_name = 'Root'
  [../]
[]
[BCs]
  # back=zmin, front=zmax, bottom=ymin, top=ymax, left=xmin, right=xmax
  [./xmin_xzero]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0.0
  [../]
  [./xmax_xzero]
    type = DirichletBC
    variable = disp_x
    boundary = right
    value = 0.0
  [../]
  [./ymin_yzero]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0.0
  [../]
  [./ymax_yzero]
    type = DirichletBC
    variable = disp_y
    boundary = top
    value = 0.0
  [../]
  [./zmin_zzero]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = '0'
  [../]
  [./zmax_disp]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = '1E-6*max(t,0)'
  [../]
[]
[AuxVariables]
  [./mc_int]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./plastic_strain]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./num_iters]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./mc_int_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_internal_parameter
    variable = mc_int
  [../]
  [./plastic_strain_aux]
    type = MaterialRankTwoTensorAux
    i = 2
    j = 2
    property = plastic_strain
    variable = plastic_strain
  [../]
  [./num_iters_auxk] # cannot use plastic_NR_iterations directly as this is zero, since no NR iterations are actually used, since we use a custom algorithm to do the return
    type = ParsedAux
    args = plastic_strain
    function = 'if(plastic_strain>0,1,0)'
    variable = num_iters
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]
[UserObjects]
  [./mc_coh]
    type = TensorMechanicsHardeningConstant
    value = 5E6
  [../]
  [./mc_phi]
    type = TensorMechanicsHardeningConstant
    value = 35
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = TensorMechanicsHardeningConstant
    value = 10
    convert_to_radians = true
  [../]
  [./mc]
    type = TensorMechanicsPlasticMohrCoulombMulti
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    yield_function_tolerance = 1E-5
    internal_constraint_tolerance = 1E-11
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 16E9
    poissons_ratio = 0.25
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    ep_plastic_tolerance = 1E-11
    plastic_models = mc
    max_NR_iterations = 1000
    debug_fspb = crash
  [../]
  [./strain_from_initial_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = '6E6 0 0  0 6E6 0  0 0 6E6'
    eigenstrain_name = ini_stress
  [../]
[]
[Preconditioning]
  [./andy]
    type = SMP
    full = true
  [../]
[]
[Executioner]
  start_time = -1
  end_time = 10
  dt = 1
  solve_type = NEWTON
  type = Transient
  l_tol = 1E-2
  nl_abs_tol = 1E-5
  nl_rel_tol = 1E-7
  l_max_its = 200
  nl_max_its = 400
  petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -ksp_type -ksp_gmres_restart'
  petsc_options_value = ' asm      2              lu            gmres     200'
[]
[Outputs]
  file_base = biaxial_planar
  perf_graph = true
  exodus = false
  csv = true
[]
(modules/tensor_mechanics/test/tests/capped_weak_plane/small_deform_inclined5.i)
# Plastic deformation, shear failure, with inclined normal direction = (1, 0, 0)
# With Young = 10, poisson=0.25 (Lame lambda=4, mu=4)
# applying the following
# deformation to the xmax surface of a unit cube:
# disp_x = 5*t/6
# disp_y = 6*t
# disp_z = 8*t
# should yield trial stress:
# stress_xx = 10*t
# stress_xz = 32*t
# stress_xy = 24*t (so q_trial = 40*t)
# Use tan(friction_angle) = 0.5 and tan(dilation_angle) = 1/6, and cohesion=20,
# the system should return to p=0, q=20, ie stress_xx=0, stress_zx=16,
# stress_yx=12 on the first time step (t=1)
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz plastic_strain_xx plastic_strain_xy plastic_strain_xz plastic_strain_yy plastic_strain_yz plastic_strain_zz strain_xx strain_xy strain_xz strain_yy strain_yz strain_zz'
  [../]
[]
[BCs]
  [./bottomx]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0.0
  [../]
  [./bottomy]
    type = DirichletBC
    variable = disp_y
    boundary = left
    value = 0.0
  [../]
  [./bottomz]
    type = DirichletBC
    variable = disp_z
    boundary = left
    value = 0.0
  [../]
  [./topx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = right
    function = 5*t/6
  [../]
  [./topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = right
    function = 6*t
  [../]
  [./topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = right
    function = 8*t
  [../]
[]
[AuxVariables]
  [./f_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_compressive]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./ls]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./f_shear]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f_shear
  [../]
  [./f_tensile]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f_tensile
  [../]
  [./f_compressive]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f_compressive
  [../]
  [./intnl_shear]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = intnl_shear
  [../]
  [./intnl_tensile]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 1
    variable = intnl_tensile
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./ls]
    type = MaterialRealAux
    property = plastic_linesearch_needed
    variable = ls
  [../]
[]
[Postprocessors]
  [./stress_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./stress_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./stress_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./stress_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./stress_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./stress_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./strainp_xx]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_xx
  [../]
  [./strainp_xy]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_xy
  [../]
  [./strainp_xz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_xz
  [../]
  [./strainp_yy]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_yy
  [../]
  [./strainp_yz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_yz
  [../]
  [./strainp_zz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_zz
  [../]
  [./straint_xx]
    type = PointValue
    point = '0 0 0'
    variable = strain_xx
  [../]
  [./straint_xy]
    type = PointValue
    point = '0 0 0'
    variable = strain_xy
  [../]
  [./straint_xz]
    type = PointValue
    point = '0 0 0'
    variable = strain_xz
  [../]
  [./straint_yy]
    type = PointValue
    point = '0 0 0'
    variable = strain_yy
  [../]
  [./straint_yz]
    type = PointValue
    point = '0 0 0'
    variable = strain_yz
  [../]
  [./straint_zz]
    type = PointValue
    point = '0 0 0'
    variable = strain_zz
  [../]
  [./f_shear]
    type = PointValue
    point = '0 0 0'
    variable = f_shear
  [../]
  [./f_tensile]
    type = PointValue
    point = '0 0 0'
    variable = f_tensile
  [../]
  [./f_compressive]
    type = PointValue
    point = '0 0 0'
    variable = f_compressive
  [../]
  [./intnl_shear]
    type = PointValue
    point = '0 0 0'
    variable = intnl_shear
  [../]
  [./intnl_tensile]
    type = PointValue
    point = '0 0 0'
    variable = intnl_tensile
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
  [./ls]
    type = PointValue
    point = '0 0 0'
    variable = ls
  [../]
[]
[UserObjects]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 20
  [../]
  [./tanphi]
    type = TensorMechanicsHardeningConstant
    value = 0.5
  [../]
  [./tanpsi]
    type = TensorMechanicsHardeningConstant
    value = 0.166666666667
  [../]
  [./t_strength]
    type = TensorMechanicsHardeningConstant
    value = 100
  [../]
  [./c_strength]
    type = TensorMechanicsHardeningConstant
    value = 100
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '4 4'
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    inelastic_models = stress
    perform_finite_strain_rotations = false
  [../]
  [./stress]
    type = CappedWeakInclinedPlaneStressUpdate
    normal_vector = '1 0 0'
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    tensile_strength = t_strength
    compressive_strength = c_strength
    tip_smoother = 0
    smoothing_tol = 0
    yield_function_tol = 1E-5
  [../]
[]
[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform_inclined5
  csv = true
[]
(modules/tensor_mechanics/test/tests/capped_mohr_coulomb/small_deform25.i)
# Mohr-Coulomb only
# apply equal stretches in x, y and z directions, to observe return to the MC tip
# Because of smoothing, the expected result is around
# Smax = Smid = Smin = 12.9
# The result is not exact because the smoothing is assymetrical.
# This test also employs a very small dilation angle, which makes return
# to the tip quite numerically difficult, so max_NR_iterations has been increased to 100
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'max_principal_stress mid_principal_stress min_principal_stress stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '1E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '1E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z'
  [../]
[]
[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 6
    property = plastic_yield_function
    variable = yield_fcn
  [../]
  [./iter_auxk]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./intnl_auxk]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = intnl
  [../]
[]
[Postprocessors]
  [./s_max]
    type = PointValue
    point = '0 0 0'
    variable = max_principal_stress
  [../]
  [./s_mid]
    type = PointValue
    point = '0 0 0'
    variable = mid_principal_stress
  [../]
  [./s_min]
    type = PointValue
    point = '0 0 0'
    variable = min_principal_stress
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
  [./intnl]
    type = PointValue
    point = '0 0 0'
    variable = intnl
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./mc_coh]
    type = TensorMechanicsHardeningConstant
    value = 10
  [../]
  [./mc_phi]
    type = TensorMechanicsHardeningConstant
    value = 30
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = TensorMechanicsHardeningConstant
    value = 1E-4
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1E7
    poissons_ratio = 0.3
  [../]
  [./mc]
    type = CappedMohrCoulombStressUpdate
    tensile_strength = ts
    compressive_strength = ts
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    smoothing_tol = 5
    yield_function_tol = 1.0E-9
    max_NR_iterations = 100
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = mc
    perform_finite_strain_rotations = false
  [../]
[]
[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform25
  csv = true
[]
(modules/tensor_mechanics/test/tests/notched_plastic_block/cmc_smooth.i)
# Uses a multi-smoothed version of capped-Mohr-Coulomb (via CappedMohrCoulombStressUpdate and ComputeMultipleInelasticStress) to simulate the following problem.
# A cubical block is notched around its equator.
# All of its outer surfaces have roller BCs, but the notched region is free to move as needed
# The block is initialised with a high hydrostatic tensile stress
# Without the notch, the BCs do not allow contraction of the block, and this stress configuration is admissible
# With the notch, however, the interior parts of the block are free to move in order to relieve stress, and this causes plastic failure
# The top surface is then pulled upwards (the bottom is fixed because of the roller BCs)
# This causes more failure
[Mesh]
  [generated_mesh]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 9
    ny = 9
    nz = 9
    xmin = 0
    xmax = 0.1
    ymin = 0
    ymax = 0.1
    zmin = 0
    zmax = 0.1
  []
  [block_to_remove_xmin]
    type = SubdomainBoundingBoxGenerator
    bottom_left = '-0.01 -0.01 0.045'
    top_right = '0.01 0.11 0.055'
    location = INSIDE
    block_id = 1
    input = generated_mesh
  []
  [block_to_remove_xmax]
    type = SubdomainBoundingBoxGenerator
    bottom_left = '0.09 -0.01 0.045'
    top_right = '0.11 0.11 0.055'
    location = INSIDE
    block_id = 1
    input = block_to_remove_xmin
  []
  [block_to_remove_ymin]
    type = SubdomainBoundingBoxGenerator
    bottom_left = '-0.01 -0.01 0.045'
    top_right = '0.11 0.01 0.055'
    location = INSIDE
    block_id = 1
    input = block_to_remove_xmax
  []
  [block_to_remove_ymax]
    type = SubdomainBoundingBoxGenerator
    bottom_left = '-0.01 0.09 0.045'
    top_right = '0.11 0.11 0.055'
    location = INSIDE
    block_id = 1
    input = block_to_remove_ymin
  []
  [remove_block]
    type = BlockDeletionGenerator
    block = 1
    input = block_to_remove_ymax
  []
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'max_principal_stress mid_principal_stress min_principal_stress stress_zz'
    eigenstrain_names = ini_stress
  [../]
[]
[Postprocessors]
  [./uz]
    type = PointValue
    point = '0 0 0.1'
    use_displaced_mesh = false
    variable = disp_z
  [../]
  [./s_zz]
    type = ElementAverageValue
    use_displaced_mesh = false
    variable = stress_zz
  [../]
  [./num_res]
    type = NumResidualEvaluations
  [../]
  [./nr_its] # num_iters is the average number of NR iterations encountered per element in this timestep
    type = ElementAverageValue
    variable = num_iters
  [../]
  [./max_nr_its] # max_num_iters is the maximum number of NR iterations encountered in the element during the whole simulation
    type = ElementExtremeValue
    variable = max_num_iters
  [../]
  [./runtime]
    type = PerfGraphData
    data_type = TOTAL
    section_name = 'Root'
  [../]
[]
[BCs]
  # back=zmin, front=zmax, bottom=ymin, top=ymax, left=xmin, right=xmax
  [./xmin_xzero]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0.0
  [../]
  [./xmax_xzero]
    type = DirichletBC
    variable = disp_x
    boundary = right
    value = 0.0
  [../]
  [./ymin_yzero]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0.0
  [../]
  [./ymax_yzero]
    type = DirichletBC
    variable = disp_y
    boundary = top
    value = 0.0
  [../]
  [./zmin_zzero]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = '0'
  [../]
  [./zmax_disp]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = '1E-6*max(t,0)'
  [../]
[]
[AuxVariables]
  [./mc_int]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./num_iters]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./max_num_iters]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./mc_int_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_internal_parameter
    variable = mc_int
  [../]
  [./num_iters_auxk]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = num_iters
  [../]
  [./max_num_iters_auxk]
    type = MaterialRealAux
    property = max_plastic_NR_iterations
    variable = max_num_iters
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 3E6
  [../]
  [./cs]
    type = TensorMechanicsHardeningConstant
    value = 1E16
  [../]
  [./mc_coh]
    type = TensorMechanicsHardeningConstant
    value = 5E6
  [../]
  [./mc_phi]
    type = TensorMechanicsHardeningConstant
    value = 35
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = TensorMechanicsHardeningConstant
    value = 10
    convert_to_radians = true
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 16E9
    poissons_ratio = 0.25
  [../]
  [./mc]
    type = CappedMohrCoulombStressUpdate
    tensile_strength = ts
    compressive_strength = cs
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    smoothing_tol = 0.2E6
    yield_function_tol = 1E-5
    perfect_guess = false # this is so we can observe some Newton-Raphson iterations, for comparison with other models, and it is not optimal in any real-life simulations
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = mc
    perform_finite_strain_rotations = false
  [../]
  [./strain_from_initial_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = '2.5E6 0 0  0 2.5E6 0  0 0 2.5E6'
    eigenstrain_name = ini_stress
  [../]
[]
[Preconditioning]
  [./andy]
    type = SMP
    full = true
  [../]
[]
[Executioner]
  start_time = -1
  end_time = 10
  dt = 1
  solve_type = NEWTON
  type = Transient
  l_tol = 1E-2
  nl_abs_tol = 1E-5
  nl_rel_tol = 1E-7
  l_max_its = 200
  nl_max_its = 400
  petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -ksp_type -ksp_gmres_restart'
  petsc_options_value = ' asm      2              lu            gmres     200'
[]
[Outputs]
  file_base = cmc_smooth
  perf_graph = true
  exodus = false
  csv = true
[]
(modules/tensor_mechanics/test/tests/weak_plane_shear/small_deform4.i)
# apply a pure tension, then some shear
# the BCs are designed to map out the yield function, showing
# the affect of 'cap' smoothing
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./x_disp]
  [../]
  [./y_disp]
  [../]
  [./z_disp]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'x_disp y_disp z_disp'
  [../]
[]
[BCs]
  [./bottomx]
    type = DirichletBC
    variable = x_disp
    boundary = back
    value = 0.0
  [../]
  [./bottomy]
    type = DirichletBC
    variable = y_disp
    boundary = back
    value = 0.0
  [../]
  [./bottomz]
    type = DirichletBC
    variable = z_disp
    boundary = back
    value = 0.0
  [../]
  [./topx]
    type = FunctionDirichletBC
    variable = x_disp
    boundary = front
    function = 'if(t<1E-6,0,3*(t-1E-6)*(t-1E-6)*1E6)'
  [../]
  [./topy]
    type = FunctionDirichletBC
    variable = y_disp
    boundary = front
    function = 'if(t<1E-6,0,5*(t-1E-6)*(t-1E-6)*1E6)'
  [../]
  [./topz]
    type = FunctionDirichletBC
    variable = z_disp
    boundary = front
    function = 'if(t<1E-6,t,1E-6)'
  [../]
[]
[AuxVariables]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_zx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zx
    index_i = 2
    index_j = 0
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = yield_fcn
  [../]
  [./iter_auxk]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
[]
[Postprocessors]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
[]
[UserObjects]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 1E3
  [../]
  [./tanphi]
    type = TensorMechanicsHardeningConstant
    value = 1
  [../]
  [./tanpsi]
    type = TensorMechanicsHardeningConstant
    value = 0.08748866
  [../]
  [./wps]
    type = TensorMechanicsPlasticWeakPlaneShear
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    tip_scheme = cap
    smoother = 0
    cap_rate = 0.001
    cap_start = -1000.0
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-6
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '1E9 0.5E9'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'x_disp y_disp z_disp'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    ep_plastic_tolerance = 1E-4
    block = 0
    plastic_models = wps
    transverse_direction = '0 0 1'
    debug_fspb = crash
    debug_jac_at_stress = '1E4 2E4 3E4 2E4 -4E4 5E4 3E4 5E4 6E8'
    debug_jac_at_pm = 1
    debug_jac_at_intnl = 1
    debug_stress_change = 1E-3
    debug_pm_change = 1E-5
    debug_intnl_change = 1E-5
  [../]
[]
[Executioner]
  end_time = 2E-6
  dt = 1E-7
  type = Transient
[]
[Outputs]
  file_base = small_deform4
  exodus = true
  [./csv]
    type = CSV
    [../]
[]
(modules/tensor_mechanics/test/tests/tensile/small_deform1.i)
# checking for small deformation
# A single element is stretched by 1E-6m in z direction, and by small amounts in x and y directions
# stress_zz = Youngs Modulus*Strain = 2E6*1E-6 = 2 Pa
# tensile_strength is set to 1Pa
# Then the final stress should return to the yeild surface and the maximum principal stress value should be 1pa.
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    incremental = true
    strain = finite
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0.1E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0.2E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z'
  [../]
[]
[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = yield_fcn
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 1
  [../]
  [./mc]
    type = TensorMechanicsPlasticTensile
    tensile_strength = ts
    yield_function_tolerance = 1E-6
    tensile_tip_smoother = 0.0
    internal_constraint_tolerance = 1E-5
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 2.0E6'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-5
    plastic_models = mc
    debug_fspb = crash
    debug_jac_at_stress = '1 2 3 2 -4 -5 3 -5 10'
    debug_jac_at_pm = 0.8
    debug_jac_at_intnl = 1
    debug_stress_change = 1E-8
    debug_pm_change = 1E-5
    debug_intnl_change = 1E-5
  [../]
[]
[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform1
  exodus = false
  [./csv]
    type = CSV
    [../]
[]
(modules/tensor_mechanics/test/tests/weak_plane_shear/large_deform2.i)
# large strain with weak-plane normal rotating with mesh
# First rotate mesh 45deg about x axis
# Then apply stretch in the y=z direction.
# This should create a pure tensile load (no shear), which
# should return to the yield surface.
#
# Since cohesion=1E6 and tan(friction_angle)=1, and
# wps_smoother = 0.5E6, the apex of the weak-plane cone is
# at normal_stress = 0.5E6.  So, the result should be
# s_yy = s_yz = s_zz = 0.25E6
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[BCs]
  # rotate:
  # ynew = c*y + s*z.  znew = -s*y + c*z
  [./bottomx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = back
    function = '0'
  [../]
  [./bottomy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = back
    function = '0.70710678*y+0.70710678*z-y'
  [../]
  [./bottomz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = back
    function = '-0.70710678*y+0.70710678*z-z'
  [../]
  [./topx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = front
    function = '0'
  [../]
  [./topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = front
    function = '0.70710678*y+0.70710678*z-y+if(t>0,1,0)'
  [../]
  [./topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = '-0.70710678*y+0.70710678*z-z+if(t>0,1,0)'
  [../]
[]
[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = yield_fcn
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]
[UserObjects]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./tanphi]
    type = TensorMechanicsHardeningConstant
    value = 1
  [../]
  [./tanpsi]
    type = TensorMechanicsHardeningConstant
    value = 0.111107723
  [../]
  [./wps]
    type = TensorMechanicsPlasticWeakPlaneShear
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    smoother = 0.5E6
    yield_function_tolerance = 1E-9
    internal_constraint_tolerance = 1E-9
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    plastic_models = wps
    transverse_direction = '0 0 1'
    ep_plastic_tolerance = 1E-8
    debug_fspb = crash
  [../]
[]
[Executioner]
  start_time = -1
  end_time = 1
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = large_deform2
  exodus = true
  [./csv]
    type = CSV
    [../]
[]
(modules/tensor_mechanics/test/tests/capped_weak_plane/pull_and_shear.i)
# Dynamic problem with plasticity.
# A column of material (not subject to gravity) has the z-displacement
# of its sides fixed, but the centre of its bottom side is pulled
# downwards.  This causes failure in the bottom elements.
#
# The problem utilises damping in the following way.
# The DynamicStressDivergenceTensors forms the residual
# integral  grad(stress) + zeta*grad(stress-dot)
#     = V/L * elasticity * (du/dx + zeta * dv/dx)
# where V is the elemental volume, and L is the length-scale,
# and u is the displacement, and v is the velocity.
# The InertialForce forms the residual
# integral  density * (accel + eta * velocity)
#     = V * density * (a + eta * v)
# where a is the acceleration.
# So, a damped oscillator description with both these
# kernels looks like
# 0 = V * (density * a + density * eta * v + elasticity * zeta * v / L^2 + elasticity / L^2 * u)
# Critical damping is when the coefficient of v is
# 2 * sqrt(density * elasticity / L^2)
# In the case at hand, density=1E4, elasticity~1E10 (Young is 16GPa),
# L~1 to 10 (in the horizontal or vertical direction), so this coefficient ~ 1E7 to 1E6.
# Choosing eta = 1E3 and zeta = 1E-2 gives approximate critical damping.
# If zeta is high then steady-state is achieved very quickly.
#
# In the case of plasticity, the effective stiffness of the elements
# is significantly less.  Therefore, the above parameters give
# overdamping.
#
# This simulation is a nice example of the irreversable and non-uniqueness
# of simulations involving plasticity.  The result depends on the damping
# parameters and the time stepping.
[Mesh]
  [generated_mesh]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 10
    ny = 1
    nz = 5
    bias_z = 1.5
    xmin = -10
    xmax = 10
    ymin = -10
    ymax = 10
    zmin = -100
    zmax = 0
  []
  [bottomz_middle]
    type = BoundingBoxNodeSetGenerator
    new_boundary = bottomz_middle
    bottom_left = '-1 -1500 -105'
    top_right = '1 1500 -95'
    input = generated_mesh
  []
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  beta = 0.25 # Newmark time integration
  gamma = 0.5 # Newmark time integration
  eta = 1E3 #0.3E4 # higher values mean more damping via density
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./DynamicTensorMechanics] # zeta*K*vel + K * disp
    zeta = 1E-2 # higher values mean more damping via stiffness
    alpha = 0 # better nonlinear convergence than for alpha>0
  [../]
  [./inertia_x] # M*accel + eta*M*vel
    type = InertialForce
    use_displaced_mesh = false
    variable = disp_x
    velocity = vel_x
    acceleration = accel_x
  [../]
  [./inertia_y]
    type = InertialForce
    use_displaced_mesh = false
    variable = disp_y
    velocity = vel_y
    acceleration = accel_y
  [../]
  [./inertia_z]
    type = InertialForce
    use_displaced_mesh = false
    variable = disp_z
    velocity = vel_z
    acceleration = accel_z
  [../]
[]
[BCs]
  [./no_x2]
    type = DirichletBC
    variable = disp_x
    boundary = right
    value = 0.0
  [../]
  [./no_x1]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0.0
  [../]
  [./no_y1]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0.0
  [../]
  [./no_y2]
    type = DirichletBC
    variable = disp_y
    boundary = top
    value = 0.0
  [../]
  [./z_fixed_sides_xmin]
    type = DirichletBC
    variable = disp_z
    boundary = left
    value = 0
  [../]
  [./z_fixed_sides_xmax]
    type = DirichletBC
    variable = disp_z
    boundary = right
    value = 0
  [../]
  [./bottomz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = bottomz_middle
    function = max(-10*t,-10)
  [../]
[]
[AuxVariables]
  [./accel_x]
  [../]
  [./vel_x]
  [../]
  [./accel_y]
  [../]
  [./vel_y]
  [../]
  [./accel_z]
  [../]
  [./vel_z]
  [../]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_compressive]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./ls]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./accel_x] # Calculates and stores acceleration at the end of time step
    type = NewmarkAccelAux
    variable = accel_x
    displacement = disp_x
    velocity = vel_x
    execute_on = timestep_end
  [../]
  [./vel_x] # Calculates and stores velocity at the end of the time step
    type = NewmarkVelAux
    variable = vel_x
    acceleration = accel_x
    execute_on = timestep_end
  [../]
  [./accel_y]
    type = NewmarkAccelAux
    variable = accel_y
    displacement = disp_y
    velocity = vel_y
    execute_on = timestep_end
  [../]
  [./vel_y]
    type = NewmarkVelAux
    variable = vel_y
    acceleration = accel_y
    execute_on = timestep_end
  [../]
  [./accel_z]
    type = NewmarkAccelAux
    variable = accel_z
    displacement = disp_z
    velocity = vel_z
    execute_on = timestep_end
  [../]
  [./vel_z]
    type = NewmarkVelAux
    variable = vel_z
    acceleration = accel_z
    execute_on = timestep_end
  [../]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./strainp_xx]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_xx
    index_i = 0
    index_j = 0
  [../]
  [./strainp_xy]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_xy
    index_i = 0
    index_j = 1
  [../]
  [./strainp_xz]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_xz
    index_i = 0
    index_j = 2
  [../]
  [./strainp_yy]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_yy
    index_i = 1
    index_j = 1
  [../]
  [./strainp_yz]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_yz
    index_i = 1
    index_j = 2
  [../]
  [./strainp_zz]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_zz
    index_i = 2
    index_j = 2
  [../]
  [./straint_xx]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_xx
    index_i = 0
    index_j = 0
  [../]
  [./straint_xy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_xy
    index_i = 0
    index_j = 1
  [../]
  [./straint_xz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_xz
    index_i = 0
    index_j = 2
  [../]
  [./straint_yy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_yy
    index_i = 1
    index_j = 1
  [../]
  [./straint_yz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_yz
    index_i = 1
    index_j = 2
  [../]
  [./straint_zz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_zz
    index_i = 2
    index_j = 2
  [../]
  [./f_shear]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f_shear
  [../]
  [./f_tensile]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f_tensile
  [../]
  [./f_compressive]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f_compressive
  [../]
  [./intnl_shear]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = intnl_shear
  [../]
  [./intnl_tensile]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 1
    variable = intnl_tensile
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./ls]
    type = MaterialRealAux
    property = plastic_linesearch_needed
    variable = ls
  [../]
[]
[UserObjects]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./tanphi]
    type = TensorMechanicsHardeningConstant
    value = 0.5
  [../]
  [./tanpsi]
    type = TensorMechanicsHardeningConstant
    value = 0.166666666667
  [../]
  [./t_strength]
    type = TensorMechanicsHardeningConstant
    value = 0
  [../]
  [./c_strength]
    type = TensorMechanicsHardeningConstant
    value = 1E80
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '6.4E9 6.4E9'  # young 16MPa, Poisson 0.25
  [../]
  [./strain]
    type = ComputeIncrementalSmallStrain
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    inelastic_models = stress
    perform_finite_strain_rotations = false
  [../]
  [./stress]
    type = CappedWeakPlaneStressUpdate
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    tensile_strength = t_strength
    compressive_strength = c_strength
    tip_smoother = 1E6
    smoothing_tol = 0.5E6
    yield_function_tol = 1E-2
  [../]
  [./density]
    type = GenericConstantMaterial
    block = 0
    prop_names = density
    prop_values = 1E4
  [../]
[]
[Preconditioning]
  [./andy]
    type = SMP
    full = true
    petsc_options = '-snes_converged_reason -snes_linesearch_monitor'
    petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -ksp_type -ksp_gmres_restart'
    petsc_options_value = ' asm      2              lu            gmres     200'
  [../]
[]
[Executioner]
  solve_type = 'NEWTON'
  petsc_options = '-snes_converged_reason'
  line_search = bt
  nl_abs_tol = 1E1
  nl_rel_tol = 1e-5
  l_tol = 1E-10
  l_max_its = 100
  nl_max_its = 100
  num_steps = 8
  dt = 0.1
  type = Transient
[]
[Outputs]
  file_base = pull_and_shear
  exodus = true
  csv = true
[]
(modules/tensor_mechanics/test/tests/capped_drucker_prager/small_deform3_inner_edge.i)
# apply repeated stretches in x z directions, and smaller stretches along the y direction,
# so that sigma_I = sigma_II,
# which means that lode angle = 30deg.
# The allows yield surface in meridional plane to be mapped out
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '1E-6*x*t'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '-1.7E-6*y*t'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z*t'
  [../]
[]
[AuxVariables]
  [./mc_int]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./mc_int_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_internal_parameter
    variable = mc_int
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./internal]
    type = PointValue
    point = '0 0 0'
    variable = mc_int
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 1E5
  [../]
  [./cs]
    type = TensorMechanicsHardeningConstant
    value = 1E5
  [../]
  [./mc_coh]
    type = TensorMechanicsHardeningConstant
    value = 10
  [../]
  [./mc_phi]
    type = TensorMechanicsHardeningConstant
    value = 35
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = TensorMechanicsHardeningConstant
    value = 5
    convert_to_radians = true
  [../]
  [./dp]
    type = TensorMechanicsPlasticDruckerPrager
    mc_cohesion = mc_coh
    mc_friction_angle = mc_phi
    mc_dilation_angle = mc_psi
    mc_interpolation_scheme = inner_edge
    yield_function_tolerance = 1      # irrelevant here
    internal_constraint_tolerance = 1 # irrelevant here
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    inelastic_models = mc
    perform_finite_strain_rotations = false
  [../]
  [./mc]
    type = CappedDruckerPragerStressUpdate
    DP_model = dp
    tensile_strength = ts
    compressive_strength = cs
    yield_function_tol = 1E-8
    tip_smoother = 8
    smoothing_tol = 1E-7
  [../]
[]
[Executioner]
  end_time = 10
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform3_inner_edge
  exodus = false
  [./csv]
    type = CSV
  [../]
[]
(modules/tensor_mechanics/test/tests/capped_weak_plane/except5.i)
# Exception: incorrect userobject types
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    incremental = true
  [../]
[]
[UserObjects]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 1
  [../]
  [./tanphi]
    type = TensorMechanicsHardeningConstant
    value = 0.5
  [../]
  [./tanpsi]
    type = TensorMechanicsHardeningConstant
    value = 0.1111077
  [../]
  [./t_strength]
    type = TensorMechanicsHardeningConstant
    value = 1
  [../]
  [./c_strength]
    type = TensorMechanicsHardeningConstant
    value = -2
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E6'
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    inelastic_models = stress
    perform_finite_strain_rotations = false
  [../]
  [./stress]
    type = CappedWeakPlaneStressUpdate
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    tensile_strength = t_strength
    compressive_strength = c_strength
    tip_smoother = 0
    smoothing_tol = 1
    yield_function_tol = 1E-5
  [../]
[]
[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]
(modules/tensor_mechanics/test/tests/mohr_coulomb/many_deforms_cap.i)
# apply many large deformations, checking that the algorithm returns correctly to
# the yield surface each time
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[BCs]
  [./bottomx]
    type = DirichletBC
    variable = disp_x
    boundary = back
    value = 0.0
  [../]
  [./bottomy]
    type = DirichletBC
    variable = disp_y
    boundary = back
    value = 0.0
  [../]
  [./bottomz]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0.0
  [../]
  [./topx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = front
    function = '(sin(0.05*t)+x)/1E0'
  [../]
  [./topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = front
    function = '(cos(0.04*t)+x*y)/1E0'
  [../]
  [./topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = 't/1E2'
  [../]
[]
[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]
[Postprocessors]
  [./yield_fcn_at_zero]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
    outputs = 'console'
  [../]
  [./should_be_zero]
    type = FunctionValuePostprocessor
    function = should_be_zero_fcn
  [../]
[]
[Functions]
  [./should_be_zero_fcn]
    type = ParsedFunction
    value = 'if(a<1E-3,0,a)'
    vars = 'a'
    vals = 'yield_fcn_at_zero'
  [../]
[]
[UserObjects]
  [./mc_coh]
    type = TensorMechanicsHardeningConstant
    value = 1E3
  [../]
  [./mc_phi]
    type = TensorMechanicsHardeningConstant
    value = 30
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = TensorMechanicsHardeningConstant
    value = 5
    convert_to_radians = true
  [../]
  [./mc]
    type = TensorMechanicsPlasticMohrCoulomb
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    tip_scheme = cap
    mc_tip_smoother = 0.0
    cap_start = 1000
    cap_rate = 1E-3
    mc_edge_smoother = 10
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-6
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    max_NR_iterations = 1000
    ep_plastic_tolerance = 1E-6
    plastic_models = mc
    debug_fspb = crash
    deactivation_scheme = safe
  [../]
[]
[Executioner]
  end_time = 1000
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = many_deforms_cap
  exodus = false
  [./csv]
    type = CSV
    [../]
[]
(modules/tensor_mechanics/test/tests/mohr_coulomb/small_deform6.i)
# apply repeated stretches in z direction, and smaller stretches in the x and y directions
# so that sigma_II = sigma_III,
# which means that lode angle = -30deg.
# The allows yield surface in meridional plane to be mapped out
# Using cap smoothing
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0.9E-6*x*sin(t)'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0.9E-6*y*sin(t)'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z*t'
  [../]
[]
[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mc_int]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./mc_int_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_internal_parameter
    variable = mc_int
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
  [./iter_auxk]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./internal]
    type = PointValue
    point = '0 0 0'
    variable = mc_int
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
[]
[UserObjects]
  [./mc_coh]
    type = TensorMechanicsHardeningConstant
    value = 10
  [../]
  [./mc_phi]
    type = TensorMechanicsHardeningConstant
    value = 50
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = TensorMechanicsHardeningExponential
    value_0 = 0
    value_residual = 0.8726646 # 50deg
    rate = 3000.0
  [../]
  [./mc]
    type = TensorMechanicsPlasticMohrCoulomb
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    tip_scheme = cap
    mc_tip_smoother = 0
    cap_start = 3
    cap_rate = 0.8
    mc_edge_smoother = 20
    yield_function_tolerance = 1E-8
    internal_constraint_tolerance = 1E-9
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = mc
    debug_fspb = crash
  [../]
[]
[Executioner]
  end_time = 30
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform6
  exodus = false
  [./csv]
    type = CSV
    [../]
[]
(modules/tensor_mechanics/test/tests/mohr_coulomb/small_deform4.i)
# apply repeated stretches in z direction, and smaller stretches in the x and y directions
# so that sigma_II = sigma_III,
# which means that lode angle = -30deg.
# The allows yield surface in meridional plane to be mapped out
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0.25E-6*x*sin(t)'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0.25E-6*y*sin(t)'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z*t'
  [../]
[]
[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mc_int]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./mc_int_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_internal_parameter
    variable = mc_int
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./internal]
    type = PointValue
    point = '0 0 0'
    variable = mc_int
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]
[UserObjects]
  [./mc_coh]
    type = TensorMechanicsHardeningConstant
    value = 10
  [../]
  [./mc_phi]
    type = TensorMechanicsHardeningConstant
    value = 50
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = TensorMechanicsHardeningExponential
    value_0 = 0
    value_residual = 0.8726646 # 50deg
    rate = 3000.0
  [../]
  [./mc]
    type = TensorMechanicsPlasticMohrCoulomb
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    mc_tip_smoother = 4
    mc_edge_smoother = 20
    yield_function_tolerance = 1E-8
    internal_constraint_tolerance = 1E-9
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = mc
    debug_fspb = crash
  [../]
[]
[Executioner]
  end_time = 30
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform4
  exodus = false
  [./csv]
    type = CSV
    [../]
[]
(modules/tensor_mechanics/test/tests/jacobian/mc_update22.i)
# MC update version, with only MohrCoulomb, cohesion=10, friction angle = 60, psi = 5, smoothing_tol = 1
# Lame lambda = 0.5.  Lame mu = 1
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./cs]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 10
  [../]
  [./phi]
    type = TensorMechanicsHardeningConstant
    value = 60
    convert_to_radians = true
  [../]
  [./psi]
    type = TensorMechanicsHardeningConstant
    value = 5
    convert_to_radians = true
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    lambda = 0.5
    shear_modulus = 1.0
  [../]
  [./strain]
    type = ComputeIncrementalSmallStrain
    displacements = 'disp_x disp_y disp_z'
    eigenstrain_names = ini_stress
  [../]
  [./ini_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = '6 5 4  5 7 2  4 2 2'
    eigenstrain_name = ini_stress
  [../]
  [./cmc]
    type = CappedMohrCoulombStressUpdate
    tensile_strength = ts
    compressive_strength = cs
    cohesion = coh
    friction_angle = phi
    dilation_angle = psi
    smoothing_tol = 1
    yield_function_tol = 1.0E-12
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = cmc
    perform_finite_strain_rotations = false
  [../]
[]
[Preconditioning]
  [./andy]
    type = SMP
    full = true
    petsc_options_iname = '-snes_type'
    petsc_options_value = 'test'
  [../]
[]
[Executioner]
  type = Transient
  solve_type = Newton
[]
(modules/tensor_mechanics/test/tests/weak_plane_tensile/except1.i)
# checking for small deformation
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./x_disp]
  [../]
  [./y_disp]
  [../]
  [./z_disp]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[BCs]
  [./bottomx]
    type = DirichletBC
    variable = x_disp
    boundary = back
    value = 0.0
  [../]
  [./bottomy]
    type = DirichletBC
    variable = y_disp
    boundary = back
    value = 0.0
  [../]
  [./bottomz]
    type = DirichletBC
    variable = z_disp
    boundary = back
    value = 0.0
  [../]
  [./topx]
    type = DirichletBC
    variable = x_disp
    boundary = front
    value = 1E-6
  [../]
  [./topy]
    type = DirichletBC
    variable = y_disp
    boundary = front
    value = 1E-6
  [../]
  [./topz]
    type = DirichletBC
    variable = z_disp
    boundary = front
    value = 1E-6
  [../]
[]
[AuxVariables]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_zx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zx
    index_i = 2
    index_j = 0
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./yield_fcn_auxk]
    type = MaterialRealAux
    property = weak_plane_tensile_yield_function
    variable = yield_fcn
  [../]
[]
[Postprocessors]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]
[UserObjects]
  [./str]
    type = TensorMechanicsHardeningConstant
    value = -1.0
  [../]
  [./wpt]
    type = TensorMechanicsPlasticWeakPlaneTensile
    tensile_strength = str
    yield_function_tolerance = 1E-6
    internal_constraint_tolerance = 1E-5
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E6'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    plastic_models = wpt
    transverse_direction = '0 0 1'
    ep_plastic_tolerance = 1E-5
  [../]
[]
[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform
  exodus = true
  [./csv]
    type = CSV
    [../]
[]
(modules/tensor_mechanics/test/tests/capped_mohr_coulomb/small_deform11.i)
# Using CappedMohrCoulomb with compressive failure only
# checking for small deformation
# A single element is stretched by -1E-6m in z direction, and by small amounts in x and y directions
# stress_zz = Youngs Modulus*Strain = -2E6*1E-6 = -2 Pa
# compressive_strength is set to 1Pa
# Then the final stress should return to the yeild surface and the minimum principal stress value should be -1pa.
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '-0.1E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '-0.2E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '-1E-6*z'
  [../]
[]
[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = yield_fcn
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 1
  [../]
  [./cs]
    type = TensorMechanicsHardeningConstant
    value = 1
  [../]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./ang]
    type = TensorMechanicsHardeningConstant
    value = 0.5
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 2.0E6'
  [../]
  [./tensile]
    type = CappedMohrCoulombStressUpdate
    tensile_strength = ts
    compressive_strength = cs
    cohesion = coh
    friction_angle = ang
    dilation_angle = ang
    smoothing_tol = 0.0
    yield_function_tol = 1.0E-9
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = tensile
    perform_finite_strain_rotations = false
  [../]
[]
[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform11
  csv = true
[]
(modules/tensor_mechanics/test/tests/weak_plane_shear/small_deform_harden4.i)
# apply repeated stretches to observe cohesion hardening, with cubic
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./x_disp]
  [../]
  [./y_disp]
  [../]
  [./z_disp]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'x_disp y_disp z_disp'
  [../]
[]
[BCs]
  [./bottomx]
    type = DirichletBC
    variable = x_disp
    boundary = back
    value = 0.0
  [../]
  [./bottomy]
    type = DirichletBC
    variable = y_disp
    boundary = back
    value = 0.0
  [../]
  [./bottomz]
    type = DirichletBC
    variable = z_disp
    boundary = back
    value = 0.0
  [../]
  [./topx]
    type = FunctionDirichletBC
    variable = x_disp
    boundary = front
    function = '0'
  [../]
  [./topy]
    type = FunctionDirichletBC
    variable = y_disp
    boundary = front
    function = '0'
  [../]
  [./topz]
    type = FunctionDirichletBC
    variable = z_disp
    boundary = front
    function = '2*t'
  [../]
[]
[AuxVariables]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./wps_internal]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_zx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zx
    index_i = 2
    index_j = 0
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./wps_internal_auxk]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = wps_internal
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = yield_fcn
  [../]
[]
[Postprocessors]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
  [./int]
    type = PointValue
    point = '0 0 0'
    variable = wps_internal
  [../]
[]
[UserObjects]
  [./coh]
    type = TensorMechanicsHardeningCubic
    value_0 = 1E3
    value_residual = 2E3
    internal_limit = 0.00007
  [../]
  [./tanphi]
    type = TensorMechanicsHardeningConstant
    value = 1
  [../]
  [./tanpsi]
    type = TensorMechanicsHardeningConstant
    value = 0.01745506
  [../]
  [./wps]
    type = TensorMechanicsPlasticWeakPlaneShear
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    smoother = 500
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-3
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '1E9 0.5E9'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'x_disp y_disp z_disp'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    plastic_models = wps
    transverse_direction = '0 0 1'
    ep_plastic_tolerance = 1E-3
    debug_fspb = crash
  [../]
[]
[Executioner]
  end_time = 1E-6
  dt = 1E-7
  type = Transient
[]
[Outputs]
  file_base = small_deform_harden4
  exodus = true
  [./csv]
    type = CSV
    [../]
[]
(modules/tensor_mechanics/test/tests/tensile/small_deform2.i)
# checking for small deformation
# A single element is stretched by 1E-6m in all directions.
# tensile_strength is set to 1Pa, and smoother = 0.5
# Then the final stress should return to the yield surface and all principal stresses should be 0.5
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    incremental = true
    strain = finite
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '1E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '1E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z'
  [../]
[]
[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = yield_fcn
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 1
  [../]
  [./mc]
    type = TensorMechanicsPlasticTensile
    tensile_strength = ts
    yield_function_tolerance = 1E-6
    tensile_tip_smoother = 0.5
    internal_constraint_tolerance = 1E-5
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 2.0E6'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-5
    plastic_models = mc
    debug_fspb = crash
  [../]
[]
[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform2
  exodus = false
  [./csv]
    type = CSV
    [../]
[]
(modules/tensor_mechanics/test/tests/drucker_prager/small_deform2_outer_tip.i)
# apply repeated stretches in x, y and z directions, so that mean_stress = 0
# This maps out the yield surface in the octahedral plane for zero mean stress
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '-1.5E-6*x+2E-6*x*sin(t)'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '2E-6*y*sin(2*t)'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '-2E-6*z*(sin(t)+sin(2*t))'
  [../]
[]
[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]
[UserObjects]
  [./mc_coh]
    type = TensorMechanicsHardeningConstant
    value = 10
  [../]
  [./mc_phi]
    type = TensorMechanicsHardeningConstant
    value = 20
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = TensorMechanicsHardeningConstant
    value = 0
  [../]
  [./mc]
    type = TensorMechanicsPlasticDruckerPragerHyperbolic
    mc_cohesion = mc_coh
    mc_friction_angle = mc_phi
    mc_dilation_angle = mc_psi
    smoother = 4
    mc_interpolation_scheme = outer_tip
    yield_function_tolerance = 1E-5
    internal_constraint_tolerance = 1E-11
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./strain]
    type = ComputeIncrementalSmallStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-12
    plastic_models = mc
    debug_fspb = crash
  [../]
[]
[Executioner]
  end_time = 100
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform2_outer_tip
  exodus = false
  [./csv]
    type = CSV
    [../]
[]
(modules/tensor_mechanics/test/tests/jacobian/cwp07.i)
# Capped weak-plane plasticity
# checking jacobian for shear + tensile failure
[Mesh]
  type = GeneratedMesh
  dim = 3
[]
[GlobalParams]
  block = 0
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[UserObjects]
  [./coh]
    type = TensorMechanicsHardeningExponential
    value_0 = 1
    value_residual = 1
    rate = 1
  [../]
  [./tanphi]
    type = TensorMechanicsHardeningExponential
    value_0 = 1.0
    value_residual = 1.0
    rate = 2
  [../]
  [./tanpsi]
    type = TensorMechanicsHardeningExponential
    value_0 = 0.1
    value_residual = 0.1
    rate = 1
  [../]
  [./t_strength]
    type = TensorMechanicsHardeningExponential
    value_0 = 0
    value_residual = 0
    rate = 1
  [../]
  [./c_strength]
    type = TensorMechanicsHardeningConstant
    value = 100
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    lambda = 1.0
    shear_modulus = 2.0
  [../]
  [./strain]
    type = ComputeIncrementalSmallStrain
    displacements = 'disp_x disp_y disp_z'
    eigenstrain_names = ini_stress
  [../]
  [./ini_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = '0 0 1  0 0 -1  1 -1 1'
    eigenstrain_name = ini_stress
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    inelastic_models = mc
    tangent_operator = nonlinear
  [../]
  [./mc]
    type = CappedWeakPlaneStressUpdate
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    tensile_strength = t_strength
    compressive_strength = c_strength
    max_NR_iterations = 20
    tip_smoother = 0
    smoothing_tol = 2
    yield_function_tol = 1E-10
  [../]
[]
[Preconditioning]
  [./andy]
    type = SMP
    full = true
    petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it -snes_type'
    petsc_options_value = 'bcgs bjacobi 1E-15 1E-10 10000 test'
  [../]
[]
[Executioner]
  type = Transient
  solve_type = Newton
[]
(modules/porous_flow/test/tests/dirackernels/injection_with_plasticity.i)
# Example: Injection into a uniform aquifer 10 x 10 x 5 km
# Drucker-Prager deformation
# Darcy flow
gravity = -9.81
solid_density = 2350
fluid_density = 1000
porosity0 = 0.1
[Mesh]
  type = GeneratedMesh
  dim = 3
  xmin = 0
  xmax = 1e4
  ymin = 0
  ymax = 1e4
  zmax = 0
  zmin = -5e3
  nx = 2
  ny = 2
  nz = 2
[]
[GlobalParams]
  PorousFlowDictator = dictator
  gravity = '0 0 ${gravity}'
  displacements = 'disp_x disp_y disp_z'
  strain_at_nearest_qp = true
[]
[Modules]
  [FluidProperties]
    [simple_fluid]
      type = SimpleFluidProperties
      thermal_expansion = 0 # Not doing a thermal simulation
      bulk_modulus = 2E9
      density0 = ${fluid_density}
      viscosity = 5E-4
    []
  []
[]
[PorousFlowFullySaturated]
  coupling_type = HydroMechanical
  porepressure = pp
  dictator_name = dictator
  fp = simple_fluid
  add_darcy_aux = false
  add_stress_aux = false
  stabilization = none
[]
[Variables]
  [disp_x]
  []
  [disp_y]
  []
  [disp_z]
  []
  [pp]
    scaling = 1E6
    [InitialCondition]
      type = FunctionIC
      function = ini_pp
    []
  []
[]
[Functions]
  [ini_stress]
    type = ParsedFunction
    value = '-${gravity} * z * (${solid_density} - ${fluid_density}) * (1.0 - ${porosity0})'  # initial effective stress that should result from weight force
  []
  [ini_pp]
    type = ParsedFunction
    value = '${gravity} * z * ${fluid_density} + 1E5'
  []
[]
[BCs]
  [p_top]
    type = FunctionDirichletBC
    variable = pp
    boundary = front
    function = ini_pp
  []
  [x_roller]
    type = DirichletBC
    variable = disp_x
    boundary = 'left right'
    value = 0
  []
  [y_roller]
    type = DirichletBC
    variable = disp_y
    boundary = 'top bottom'
    value = 0
  []
  [z_confined]
    type = DirichletBC
    variable = disp_z
    boundary = 'back front'
    value = 0
  []
[]
[UserObjects]
  [pls_total_outflow_mass]
    type = PorousFlowSumQuantity
  []
  # Cohesion
  [mc_coh]
    type = TensorMechanicsHardeningConstant
    value = 6.0E6
  []
  # Friction angle
  [mc_phi]
    type = TensorMechanicsHardeningConstant
    value = 35.0
    convert_to_radians = true
  []
  # Dilation angle
  [mc_psi]
    type = TensorMechanicsHardeningConstant
    value = 2
    convert_to_radians = true
  []
  # Drucker-Prager objects
  [dp]
    type = TensorMechanicsPlasticDruckerPragerHyperbolic
    mc_cohesion = mc_coh
    mc_friction_angle = mc_phi
    mc_dilation_angle = mc_psi
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-6
  []
  # Tensile strength
  [tens]
    type = TensorMechanicsHardeningConstant
    value = 3.0E6
  []
  # Compressive strength (cap on yield envelope)
  [compr_all]
    type = TensorMechanicsHardeningConstant
    value = 1E10
  []
[]
[Materials]
  [strain]
    type = ComputeIncrementalSmallStrain
    eigenstrain_names = eigenstrain_all
  []
  [eigenstrain_all]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = 'ini_stress 0 0  0 ini_stress 0  0 0 ini_stress'
    eigenstrain_name = eigenstrain_all
  []
  [elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    bulk_modulus = 3.3333E9
    shear_modulus = 2.5E9
  []
  [dp_mat]
    type = CappedDruckerPragerStressUpdate
    DP_model = dp
    tensile_strength = tens
    compressive_strength = compr_all
    smoothing_tol = 1E5
    yield_function_tol = 1E-3
    tip_smoother = 0
  []
  [stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = dp_mat
  []
  # Permeability
  [permeability]
    type = PorousFlowPermeabilityConst
    permeability = '1E-13 0 0  0 1E-13 0  0 0 1E-13'
  []
  # Porosity
  [porosity]
    type = PorousFlowPorosity
    porosity_zero = ${porosity0}
    biot_coefficient = 1.0
    solid_bulk = 1.0 # Required but irrelevant when biot_coefficient is unity
    mechanical = true
    fluid = true
  []
  # Density of saturated rock
  [density]
    type = PorousFlowTotalGravitationalDensityFullySaturatedFromPorosity
    rho_s = ${solid_density}
  []
[]
[DiracKernels]
  [pls]
    type = PorousFlowPolyLineSink
    variable = pp
    SumQuantityUO = pls_total_outflow_mass
    point_file = two_nodes.bh
    function_of = pressure
    fluid_phase = 0
    p_or_t_vals = '0 1E7'
    fluxes = '-1.59 -1.59'
  []
[]
[Preconditioning]
  [usual]
    type = SMP
    full = true
  []
[]
[Executioner]
  solve_type = Newton
  type = Transient
  dt = 1E6
  end_time = 1E6
  nl_rel_tol = 1E-7
[]
[Outputs]
  exodus = true
[]
(modules/tensor_mechanics/test/tests/capped_weak_plane/small_deform_inclined3.i)
# Plastic deformation, tensile failure, inclined normal = (0, 1, 0)
# With Young = 10, poisson=0.25 (Lame lambda=4, mu=4)
# applying the following
# deformation to the ymax surface of a unit cube:
# disp_x = 4*t
# disp_y = t
# disp_z = 3*t
# should yield trial stress:
# stress_yy = 12*t
# stress_yx = 16*t
# stress_yz = 12*t
# Use tensile strength = 6, we should return to stress_yy = 6,
# and stress_xx = stress_zz = 2*t up to t=1 when the system is completely
# plastic, so these stress components will not change
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz plastic_strain_xx plastic_strain_xy plastic_strain_xz plastic_strain_yy plastic_strain_yz plastic_strain_zz strain_xx strain_xy strain_xz strain_yy strain_yz strain_zz'
  [../]
[]
[BCs]
  [./bottomx]
    type = DirichletBC
    variable = disp_x
    boundary = bottom
    value = 0.0
  [../]
  [./bottomy]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0.0
  [../]
  [./bottomz]
    type = DirichletBC
    variable = disp_z
    boundary = bottom
    value = 0.0
  [../]
  [./topx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = top
    function = 4*t
  [../]
  [./topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = top
    function = t
  [../]
  [./topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = top
    function = 3*t
  [../]
[]
[AuxVariables]
  [./f_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_compressive]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./ls]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./f_shear]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f_shear
  [../]
  [./f_tensile]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f_tensile
  [../]
  [./f_compressive]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f_compressive
  [../]
  [./intnl_shear]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = intnl_shear
  [../]
  [./intnl_tensile]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 1
    variable = intnl_tensile
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./ls]
    type = MaterialRealAux
    property = plastic_linesearch_needed
    variable = ls
  [../]
[]
[Postprocessors]
  [./stress_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./stress_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./stress_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./stress_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./stress_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./stress_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./strainp_xx]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_xx
  [../]
  [./strainp_xy]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_xy
  [../]
  [./strainp_xz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_xz
  [../]
  [./strainp_yy]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_yy
  [../]
  [./strainp_yz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_yz
  [../]
  [./strainp_zz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_zz
  [../]
  [./straint_xx]
    type = PointValue
    point = '0 0 0'
    variable = strain_xx
  [../]
  [./straint_xy]
    type = PointValue
    point = '0 0 0'
    variable = strain_xy
  [../]
  [./straint_xz]
    type = PointValue
    point = '0 0 0'
    variable = strain_xz
  [../]
  [./straint_yy]
    type = PointValue
    point = '0 0 0'
    variable = strain_yy
  [../]
  [./straint_yz]
    type = PointValue
    point = '0 0 0'
    variable = strain_yz
  [../]
  [./straint_zz]
    type = PointValue
    point = '0 0 0'
    variable = strain_zz
  [../]
  [./f_shear]
    type = PointValue
    point = '0 0 0'
    variable = f_shear
  [../]
  [./f_tensile]
    type = PointValue
    point = '0 0 0'
    variable = f_tensile
  [../]
  [./f_compressive]
    type = PointValue
    point = '0 0 0'
    variable = f_compressive
  [../]
  [./intnl_shear]
    type = PointValue
    point = '0 0 0'
    variable = intnl_shear
  [../]
  [./intnl_tensile]
    type = PointValue
    point = '0 0 0'
    variable = intnl_tensile
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
  [./ls]
    type = PointValue
    point = '0 0 0'
    variable = ls
  [../]
[]
[UserObjects]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 80
  [../]
  [./tanphi]
    type = TensorMechanicsHardeningConstant
    value = 0.5
  [../]
  [./tanpsi]
    type = TensorMechanicsHardeningConstant
    value = 0.1111077
  [../]
  [./t_strength]
    type = TensorMechanicsHardeningConstant
    value = 6
  [../]
  [./c_strength]
    type = TensorMechanicsHardeningConstant
    value = 40
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '4 4'
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    inelastic_models = stress
    perform_finite_strain_rotations = false
  [../]
  [./stress]
    type = CappedWeakInclinedPlaneStressUpdate
    normal_vector = '0 1 0'
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    tensile_strength = t_strength
    compressive_strength = c_strength
    tip_smoother = 0
    smoothing_tol = 0
    yield_function_tol = 1E-5
  [../]
[]
[Executioner]
  end_time = 2
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform_inclined3
  csv = true
[]
(modules/tensor_mechanics/test/tests/jacobian/cto28.i)
#Cosserat capped weak plane and capped drucker prager
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./cx_elastic]
    type = StressDivergenceTensors
    variable = disp_x
    component = 0
  [../]
  [./cy_elastic]
    type = StressDivergenceTensors
    variable = disp_y
    component = 1
  [../]
  [./cz_elastic]
    type = StressDivergenceTensors
    variable = disp_z
    component = 2
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 10
  [../]
  [./cs]
    type = TensorMechanicsHardeningConstant
    value = 10
  [../]
  [./mc_coh]
    type = TensorMechanicsHardeningConstant
    value = 10
  [../]
  [./phi]
    type = TensorMechanicsHardeningConstant
    value = 0.8
  [../]
  [./psi]
    type = TensorMechanicsHardeningConstant
    value = 0.4
  [../]
  [./dp]
    type = TensorMechanicsPlasticDruckerPragerHyperbolic
    mc_cohesion = mc_coh
    mc_friction_angle = phi
    mc_dilation_angle = psi
    yield_function_tolerance = 1E-11     # irrelevant here
    internal_constraint_tolerance = 1E-9 # irrelevant here
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 10.0
    poissons_ratio = 0.25
  [../]
  [./strain]
    type = ComputeIncrementalSmallStrain
    eigenstrain_names = ini_stress
  [../]
  [./ini_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = '10 0 0  0 10 0  0 0 10'
    eigenstrain_name = ini_stress
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    inelastic_models = 'dp'
    relative_tolerance = 2.0
    absolute_tolerance = 1E6
    max_iterations = 1
  [../]
  [./dp]
    type = CappedDruckerPragerStressUpdate
    base_name = dp
    DP_model = dp
    tensile_strength = ts
    compressive_strength = cs
    yield_function_tol = 1E-11
    tip_smoother = 1
    smoothing_tol = 1
  [../]
[]
[Preconditioning]
  [./andy]
    type = SMP
    full = true
    petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it -snes_type'
    petsc_options_value = 'bcgs bjacobi 1E-15 1E-10 10000 test'
  [../]
[]
[Executioner]
  solve_type = 'NEWTON'
  end_time = 1
  dt = 1
  type = Transient
[]
(modules/tensor_mechanics/test/tests/jacobian/mc_update15.i)
# MC update version, with only Compressive with compressive strength = 1MPa and smoothing_tol = 0.1E5
# Lame lambda = 1GPa.  Lame mu = 1.3GPa
# Units in this file are MPa (not Pa)
#
# Start from non-diagonal stress state with softening.
# Returns to close to the tip of the yield function.
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./cs]
    type = TensorMechanicsHardeningCubic
    value_0 = 1
    value_residual = 0.5
    internal_limit = 2E-2
  [../]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./ang]
    type = TensorMechanicsHardeningConstant
    value = 30
    convert_to_radians = true
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    lambda = 1.0E3
    shear_modulus = 1.3E3
  [../]
  [./strain]
    type = ComputeIncrementalSmallStrain
    displacements = 'disp_x disp_y disp_z'
    eigenstrain_names = ini_stress
  [../]
  [./ini_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = '-15 -1 -0.2  -1 -10 0.3  0.3 -0.2 -8'
    eigenstrain_name = ini_stress
  [../]
  [./cmc]
    type = CappedMohrCoulombStressUpdate
    tensile_strength = ts
    compressive_strength = cs
    cohesion = coh
    friction_angle = ang
    dilation_angle = ang
    smoothing_tol = 0.1
    yield_function_tol = 1.0E-12
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = cmc
    perform_finite_strain_rotations = false
  [../]
[]
[Preconditioning]
  [./andy]
    type = SMP
    full = true
    petsc_options_iname = '-snes_type'
    petsc_options_value = 'test'
  [../]
[]
[Executioner]
  type = Transient
  solve_type = Newton
[]
(modules/tensor_mechanics/test/tests/weak_plane_tensile/small_deform_hard1.i)
# Checking internal-parameter evolution
# A single element is stretched by 1E-6*t in z directions.
#
# Young's modulus = 20 MPa.  Tensile strength = 10 Pa
#
# There are two time steps.
# In the first
# trial stress_zz = Youngs Modulus*Strain = 2E7*1E-6 = 20 Pa
# so this returns to stress_zz = 10 Pa, and half of the deformation
# goes to plastic strain, yielding ep_zz_plastic = 0.5E-6
# In the second
# trial stress_zz = 10 + Youngs Modulus*(Strain increment) = 10 + 2E7*1E-6 = 30 Pa
# so this returns to stress_zz = 10 Pa, and all of the deformation
# goes to plastic strain, yielding ep_zz_plastic increment = 1E-6,
# so total plastic strain_zz = 1.5E-6.
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./x_disp]
  [../]
  [./y_disp]
  [../]
  [./z_disp]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'x_disp y_disp z_disp'
  [../]
[]
[BCs]
  [./bottomx]
    type = DirichletBC
    variable = x_disp
    boundary = back
    value = 0.0
  [../]
  [./bottomy]
    type = DirichletBC
    variable = y_disp
    boundary = back
    value = 0.0
  [../]
  [./bottomz]
    type = DirichletBC
    variable = z_disp
    boundary = back
    value = 0.0
  [../]
  [./topx]
    type = DirichletBC
    variable = x_disp
    boundary = front
    value = 0
  [../]
  [./topy]
    type = DirichletBC
    variable = y_disp
    boundary = front
    value = 0
  [../]
  [./topz]
    type = FunctionDirichletBC
    variable = z_disp
    boundary = front
    function = 1E-6*t
  [../]
[]
[AuxVariables]
  [./wpt_internal]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./wpt_internal]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = wpt_internal
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = yield_fcn
  [../]
[]
[Postprocessors]
  [./wpt_internal]
    type = PointValue
    point = '0 0 0'
    variable = wpt_internal
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]
[UserObjects]
  [./str]
    type = TensorMechanicsHardeningConstant
    value = 10
  [../]
  [./wpt]
    type = TensorMechanicsPlasticWeakPlaneTensile
    tensile_strength = str
    yield_function_tolerance = 1E-6
    internal_constraint_tolerance = 1E-11
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'x_disp y_disp z_disp'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    plastic_models = wpt
    transverse_direction = '0 0 1'
    ep_plastic_tolerance = 1E-11
  [../]
[]
[Executioner]
  end_time = 2
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform_hard1
  exodus = false
  [./csv]
    type = CSV
    [../]
[]
(modules/tensor_mechanics/test/tests/jacobian/mc_update1_cosserat.i)
# Cosserat version of Capped Mohr Columb (using StressUpdate)
# Tensile failure only, starting from a symmetric stress state
# and returning to the plane
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  Cosserat_rotations = 'wc_x wc_y wc_z'
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
  [./wc_x]
  [../]
  [./wc_y]
  [../]
[]
[Kernels]
  [./cx_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_x
    component = 0
  [../]
  [./cy_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_y
    component = 1
  [../]
  [./cz_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_z
    component = 2
  [../]
  [./x_couple]
    type = StressDivergenceTensors
    variable = wc_x
    displacements = 'wc_x wc_y wc_z'
    component = 0
    base_name = couple
  [../]
  [./y_couple]
    type = StressDivergenceTensors
    variable = wc_y
    displacements = 'wc_x wc_y wc_z'
    component = 1
    base_name = couple
  [../]
  [./x_moment]
    type = MomentBalancing
    variable = wc_x
    component = 0
  [../]
  [./y_moment]
    type = MomentBalancing
    variable = wc_y
    component = 1
  [../]
[]
[AuxVariables]
  [./wc_z]
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 1
  [../]
  [./cs]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./ang]
    type = TensorMechanicsHardeningConstant
    value = 30
    convert_to_radians = true
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeLayeredCosseratElasticityTensor
    young = 3E3
    poisson = 0.2
    layer_thickness = 1.0
    joint_normal_stiffness = 1.0E3
    joint_shear_stiffness = 2.0E3
  [../]
  [./strain]
    type = ComputeCosseratIncrementalSmallStrain
    eigenstrain_names = ini_stress
  [../]
  [./ini_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = '2 0 0  0 0 0  0 0 -2'
    eigenstrain_name = ini_stress
  [../]
  [./cmc]
    type = CappedMohrCoulombCosseratStressUpdate
    host_youngs_modulus = 3E3
    host_poissons_ratio = 0.2
    tensile_strength = ts
    compressive_strength = cs
    cohesion = coh
    friction_angle = ang
    dilation_angle = ang
    smoothing_tol = 0.1
    yield_function_tol = 1.0E-12
  [../]
  [./stress]
    type = ComputeMultipleInelasticCosseratStress
    inelastic_models = cmc
    perform_finite_strain_rotations = false
  [../]
[]
[Preconditioning]
  [./andy]
    type = SMP
    full = true
    petsc_options_iname = '-snes_type'
    petsc_options_value = 'test'
  [../]
[]
[Executioner]
  type = Transient
  solve_type = Newton
[]
(modules/tensor_mechanics/test/tests/tensile/small_deform6.i)
# checking for small deformation
# A single element is incrementally stretched in the in the z direction
# This causes the return direction to be along the hypersurface sigma_II = sigma_III,
# and the resulting stresses are checked to lie on the expected yield surface
#
# tensile_strength is set to 1Pa, tip_smoother = 0.5
# Lode angle = -30degrees
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    incremental = true
    strain = finite
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '0.25E-6*z*t*t'
  [../]
[]
[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = yield_fcn
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 1
  [../]
  [./mc]
    type = TensorMechanicsPlasticTensile
    tensile_strength = ts
    yield_function_tolerance = 1E-6
    tensile_tip_smoother = 0.5
    internal_constraint_tolerance = 1E-5
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 2.0E6'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-5
    plastic_models = mc
    debug_fspb = crash
  [../]
[]
[Executioner]
  end_time = 10
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform6
  exodus = false
  [./csv]
    type = CSV
    [../]
[]
(modules/tensor_mechanics/test/tests/capped_drucker_prager/small_deform3_lode_zero.i)
# apply repeated stretches in x z directions, and smaller stretches along the y direction,
# so that sigma_I = sigma_II,
# which means that lode angle = 30deg.
# The allows yield surface in meridional plane to be mapped out
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '1E-6*x*t'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '-1.7E-6*y*t'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z*t'
  [../]
[]
[AuxVariables]
  [./mc_int]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./mc_int_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_internal_parameter
    variable = mc_int
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./internal]
    type = PointValue
    point = '0 0 0'
    variable = mc_int
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 1E5
  [../]
  [./cs]
    type = TensorMechanicsHardeningConstant
    value = 1E5
  [../]
  [./mc_coh]
    type = TensorMechanicsHardeningConstant
    value = 10
  [../]
  [./mc_phi]
    type = TensorMechanicsHardeningConstant
    value = 35
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = TensorMechanicsHardeningConstant
    value = 5
    convert_to_radians = true
  [../]
  [./dp]
    type = TensorMechanicsPlasticDruckerPrager
    mc_cohesion = mc_coh
    mc_friction_angle = mc_phi
    mc_dilation_angle = mc_psi
    mc_interpolation_scheme = lode_zero
    yield_function_tolerance = 1      # irrelevant here
    internal_constraint_tolerance = 1 # irrelevant here
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    inelastic_models = mc
    perform_finite_strain_rotations = false
  [../]
  [./mc]
    type = CappedDruckerPragerStressUpdate
    DP_model = dp
    tensile_strength = ts
    compressive_strength = cs
    yield_function_tol = 1E-8
    tip_smoother = 8
    smoothing_tol = 1E-7
  [../]
[]
[Executioner]
  end_time = 10
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform3_lode_zero
  exodus = false
  [./csv]
    type = CSV
  [../]
[]
(modules/tensor_mechanics/test/tests/drucker_prager/small_deform2_inner_tip.i)
# apply repeated stretches in x, y and z directions, so that mean_stress = 0
# This maps out the yield surface in the octahedral plane for zero mean stress
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '-1.5E-6*x+2E-6*x*sin(t)'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '2E-6*y*sin(2*t)'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '-2E-6*z*(sin(t)+sin(2*t))'
  [../]
[]
[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]
[UserObjects]
  [./mc_coh]
    type = TensorMechanicsHardeningConstant
    value = 10
  [../]
  [./mc_phi]
    type = TensorMechanicsHardeningConstant
    value = 20
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = TensorMechanicsHardeningConstant
    value = 0
  [../]
  [./mc]
    type = TensorMechanicsPlasticDruckerPragerHyperbolic
    mc_cohesion = mc_coh
    mc_friction_angle = mc_phi
    mc_dilation_angle = mc_psi
    smoother = 4
    mc_interpolation_scheme = inner_tip
    yield_function_tolerance = 1E-5
    internal_constraint_tolerance = 1E-11
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./strain]
    type = ComputeIncrementalSmallStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-12
    plastic_models = mc
    debug_fspb = crash
  [../]
[]
[Executioner]
  end_time = 100
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform2_inner_tip
  exodus = false
  [./csv]
    type = CSV
    [../]
[]
(modules/tensor_mechanics/test/tests/capped_weak_plane/pull_push.i)
# A column of elements has its bottom pulled down, and then pushed up again.
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 2
  xmin = -10
  xmax = 10
  ymin = -10
  ymax = 10
  zmin = -100
  zmax = 0
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
  [../]
[]
[BCs]
  [./no_x2]
    type = DirichletBC
    variable = disp_x
    boundary = right
    value = 0.0
  [../]
  [./no_x1]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0.0
  [../]
  [./no_y1]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0.0
  [../]
  [./no_y2]
    type = DirichletBC
    variable = disp_y
    boundary = top
    value = 0.0
  [../]
  [./topz]
    type = DirichletBC
    variable = disp_z
    boundary = front
    value = 0
  [../]
  [./bottomz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = back
    function = 'if(t>1,-2.0+t,-t)'
  [../]
[]
[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_compressive]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./ls]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./strainp_xx]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_xx
    index_i = 0
    index_j = 0
  [../]
  [./strainp_xy]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_xy
    index_i = 0
    index_j = 1
  [../]
  [./strainp_xz]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_xz
    index_i = 0
    index_j = 2
  [../]
  [./strainp_yy]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_yy
    index_i = 1
    index_j = 1
  [../]
  [./strainp_yz]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_yz
    index_i = 1
    index_j = 2
  [../]
  [./strainp_zz]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_zz
    index_i = 2
    index_j = 2
  [../]
  [./straint_xx]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_xx
    index_i = 0
    index_j = 0
  [../]
  [./straint_xy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_xy
    index_i = 0
    index_j = 1
  [../]
  [./straint_xz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_xz
    index_i = 0
    index_j = 2
  [../]
  [./straint_yy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_yy
    index_i = 1
    index_j = 1
  [../]
  [./straint_yz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_yz
    index_i = 1
    index_j = 2
  [../]
  [./straint_zz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_zz
    index_i = 2
    index_j = 2
  [../]
  [./f_shear]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f_shear
  [../]
  [./f_tensile]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f_tensile
  [../]
  [./f_compressive]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f_compressive
  [../]
  [./intnl_shear]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = intnl_shear
  [../]
  [./intnl_tensile]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 1
    variable = intnl_tensile
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./ls]
    type = MaterialRealAux
    property = plastic_linesearch_needed
    variable = ls
  [../]
[]
[UserObjects]
  [./coh_irrelevant]
    type = TensorMechanicsHardeningCubic
    value_0 = 2E6
    value_residual = 1E6
    internal_limit = 0.01
  [../]
  [./tanphi]
    type = TensorMechanicsHardeningCubic
    value_0 = 0.5
    value_residual = 0.2
    internal_limit = 0.01
  [../]
  [./tanpsi]
    type = TensorMechanicsHardeningConstant
    value = 0.166666666667
  [../]
  [./t_strength]
    type = TensorMechanicsHardeningConstant
    value = 2E6
  [../]
  [./c_strength]
    type = TensorMechanicsHardeningCubic
    value_0 = 1E8
    value_residual = 0.0
    internal_limit = 0.01
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    lambda = 6.4e9
    shear_modulus = 6.4e9 # young 16MPa, Poisson 0.25
  [../]
  [./strain]
    type = ComputeIncrementalSmallStrain
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    inelastic_models = stress
    tangent_operator = nonlinear
    perform_finite_strain_rotations = false
  [../]
  [./stress]
    type = CappedWeakPlaneStressUpdate
    cohesion = coh_irrelevant
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    tensile_strength = t_strength
    compressive_strength = c_strength
    max_NR_iterations = 10
    tip_smoother = 0
    smoothing_tol = 0
    yield_function_tol = 1E-2
    perfect_guess = false
    min_step_size = 1
  [../]
[]
[Preconditioning]
  [./andy]
    type = SMP
    full = true
    petsc_options = '-snes_converged_reason -snes_linesearch_monitor'
    petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -ksp_type -ksp_gmres_restart'
    petsc_options_value = ' asm      2              lu            gmres     200'
  [../]
[]
[Executioner]
  solve_type = 'NEWTON'
  petsc_options = '-snes_converged_reason'
  line_search = bt
  nl_abs_tol = 1E1
  nl_rel_tol = 1e-5
  l_tol = 1E-10
  l_max_its = 100
  nl_max_its = 100
  end_time = 3.0
  dt = 0.1
  type = Transient
[]
[Outputs]
  file_base = pull_push
  exodus = true
  csv = true
[]
(modules/tensor_mechanics/test/tests/capped_mohr_coulomb/small_deform13.i)
# Using CappedMohrCoulomb with compressive failure only
# checking for small deformation
# A single element is compressed by "ep" in the z and x directions
# This causes the return direction to be along the hypersurface sigma_I = sigma_II
# where sigma_I = (E_2222 + E_2200) * ep
# compressive_strength is set to 1Pa, smoothing_tol = 0.1Pa
# The smoothed yield function is
# yf = -sigma_I + ismoother(0) - compressive_strength
#    = -sigma_I + (0.5 * smoothing_tol - smoothing_tol / Pi) - compressive_strength
#    = -sigma_I - 0.98183
#
# With zero Poisson's ratio, the return stress will be
# stress_00 = stress_22 = 0.98183
# with all other stress components being zero
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'max_principal_stress mid_principal_stress min_principal_stress stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '-0.25E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '-0.25E-6*z'
  [../]
[]
[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = yield_fcn
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 1
  [../]
  [./cs]
    type = TensorMechanicsHardeningConstant
    value = 1
  [../]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./ang]
    type = TensorMechanicsHardeningConstant
    value = 0.5
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 2.0E6'
  [../]
  [./tensile]
    type = CappedMohrCoulombStressUpdate
    tensile_strength = ts
    compressive_strength = cs
    cohesion = coh
    friction_angle = ang
    dilation_angle = ang
    smoothing_tol = 0.1
    yield_function_tol = 1.0E-12
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = tensile
    perform_finite_strain_rotations = false
  [../]
[]
[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform13
  csv = true
[]
(modules/tensor_mechanics/test/tests/capped_weak_plane/small_deform8.i)
# Plastic deformation, compression with hardening
# With Lame lambda=0 and Lame mu=1, applying the following
# deformation to the zmax surface of a unit cube:
# disp_z = -t
# should yield trial stress:
# stress_zz = -2*t
# The compressive strength varies as a cubic between 1 (at intnl=0)
# and 2 (at intnl=1).  The equation to solve is
# 2 - Ezzzz * ga = -2 * (ga - 1/2)^3 + (3/2) (ga - 1/2) + 3/2
# where the left-hand side comes from p = p_trial + ga * Ezzzz
# and the right-hand side is the cubic compressive strength
# The solution is ga = 0.355416 ( = intnl[1]), and the cubic
# is 1.289168 ( = -p) at that point
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz plastic_strain_xx plastic_strain_xy plastic_strain_xz plastic_strain_yy plastic_strain_yz plastic_strain_zz strain_xx strain_xy strain_xz strain_yy strain_yz strain_zz'
  [../]
[]
[BCs]
  [./bottomx]
    type = DirichletBC
    variable = disp_x
    boundary = back
    value = 0.0
  [../]
  [./bottomy]
    type = DirichletBC
    variable = disp_y
    boundary = back
    value = 0.0
  [../]
  [./bottomz]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0.0
  [../]
  [./topx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = front
    function = 0
  [../]
  [./topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = front
    function = 0
  [../]
  [./topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = -t
  [../]
[]
[AuxVariables]
  [./f_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_compressive]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./ls]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./f_shear]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f_shear
  [../]
  [./f_tensile]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f_tensile
  [../]
  [./f_compressive]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f_compressive
  [../]
  [./intnl_shear]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = intnl_shear
  [../]
  [./intnl_tensile]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 1
    variable = intnl_tensile
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./ls]
    type = MaterialRealAux
    property = plastic_linesearch_needed
    variable = ls
  [../]
[]
[Postprocessors]
  [./stress_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./stress_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./stress_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./stress_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./stress_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./stress_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./strainp_xx]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_xx
  [../]
  [./strainp_xy]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_xy
  [../]
  [./strainp_xz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_xz
  [../]
  [./strainp_yy]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_yy
  [../]
  [./strainp_yz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_yz
  [../]
  [./strainp_zz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_zz
  [../]
  [./straint_xx]
    type = PointValue
    point = '0 0 0'
    variable = strain_xx
  [../]
  [./straint_xy]
    type = PointValue
    point = '0 0 0'
    variable = strain_xy
  [../]
  [./straint_xz]
    type = PointValue
    point = '0 0 0'
    variable = strain_xz
  [../]
  [./straint_yy]
    type = PointValue
    point = '0 0 0'
    variable = strain_yy
  [../]
  [./straint_yz]
    type = PointValue
    point = '0 0 0'
    variable = strain_yz
  [../]
  [./straint_zz]
    type = PointValue
    point = '0 0 0'
    variable = strain_zz
  [../]
  [./f_shear]
    type = PointValue
    point = '0 0 0'
    variable = f_shear
  [../]
  [./f_tensile]
    type = PointValue
    point = '0 0 0'
    variable = f_tensile
  [../]
  [./f_compressive]
    type = PointValue
    point = '0 0 0'
    variable = f_compressive
  [../]
  [./intnl_shear]
    type = PointValue
    point = '0 0 0'
    variable = intnl_shear
  [../]
  [./intnl_tensile]
    type = PointValue
    point = '0 0 0'
    variable = intnl_tensile
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
  [./ls]
    type = PointValue
    point = '0 0 0'
    variable = ls
  [../]
[]
[UserObjects]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 20
  [../]
  [./tanphi]
    type = TensorMechanicsHardeningConstant
    value = 0.5
  [../]
  [./tanpsi]
    type = TensorMechanicsHardeningConstant
    value = 0.1
  [../]
  [./t_strength]
    type = TensorMechanicsHardeningConstant
    value = 100
  [../]
  [./c_strength]
    type = TensorMechanicsHardeningCubic
    value_0 = 2
    value_residual = 1
    internal_0 = -1
    internal_limit = 0
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '0 1'
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    inelastic_models = stress
    perform_finite_strain_rotations = false
  [../]
  [./stress]
    type = CappedWeakPlaneStressUpdate
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    tensile_strength = t_strength
    compressive_strength = c_strength
    max_NR_iterations = 20
    tip_smoother = 5
    smoothing_tol = 5
    yield_function_tol = 1E-10
  [../]
[]
[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform8
  csv = true
[]
(modules/tensor_mechanics/test/tests/capped_mohr_coulomb/small_deform_hard21.i)
# Mohr-Coulomb only
# apply stretches in x direction and smaller stretches in the y direction
# to observe return to the MC plane
# This tests uses hardening of the cohesion.  The returned configuration
# should obey
# 0 = 0.5 * (Smax - Smin) + 0.5 * (Smax + Smin) * sin(phi) - C cos(phi)
# which allows inference of C.
# The tensile internal parameter is recorded, to check that it is zero
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'max_principal_stress mid_principal_stress min_principal_stress stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0.4E-6*x*t'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0.1E-6*y*t'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '0'
  [../]
[]
[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 6
    property = plastic_yield_function
    variable = yield_fcn
  [../]
  [./iter_auxk]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./intnl_auxk]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = intnl
  [../]
  [./intnl_tensile]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 1
    variable = intnl_tensile
  [../]
[]
[Postprocessors]
  [./s_max]
    type = PointValue
    point = '0 0 0'
    variable = max_principal_stress
  [../]
  [./s_mid]
    type = PointValue
    point = '0 0 0'
    variable = mid_principal_stress
  [../]
  [./s_min]
    type = PointValue
    point = '0 0 0'
    variable = min_principal_stress
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
  [./intnl]
    type = PointValue
    point = '0 0 0'
    variable = intnl
  [../]
  [./intnl_tensile]
    type = PointValue
    point = '0 0 0'
    variable = intnl_tensile
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./mc_coh]
    type = TensorMechanicsHardeningCubic
    value_0 = 10
    value_residual = 20
    internal_limit = 5E-6
  [../]
  [./mc_phi]
    type = TensorMechanicsHardeningConstant
    value = 30
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = TensorMechanicsHardeningConstant
    value = 30
    convert_to_radians = true
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1E7
    poissons_ratio = 0.3
  [../]
  [./mc]
    type = CappedMohrCoulombStressUpdate
    tensile_strength = ts
    compressive_strength = ts
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    smoothing_tol = 0
    yield_function_tol = 1.0E-9
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = mc
    perform_finite_strain_rotations = false
  [../]
[]
[Executioner]
  end_time = 10
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform_hard21
  csv = true
[]
(modules/tensor_mechanics/test/tests/jacobian/tensile_update3.i)
# Tensile, update version, with strength = 1MPa and smoothing_tol = 0.1E5
# Lame lambda = 1GPa.  Lame mu = 1.3GPa
# Units in this file are MPa (not Pa)
#
# Return to the stress_I = stress_II = stress_III ~1 tip
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 1
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    lambda = 1.0E3
    shear_modulus = 1.3E3
  [../]
  [./strain]
    type = ComputeIncrementalSmallStrain
    displacements = 'disp_x disp_y disp_z'
    eigenstrain_names = ini_stress
  [../]
  [./ini_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = '2 0 0  0 1.9 0  0 0 2.1'
    eigenstrain_name = ini_stress
  [../]
  [./tensile]
    type = TensileStressUpdate
    tensile_strength = ts
    smoothing_tol = 0.1
    yield_function_tol = 1.0E-12
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = tensile
    perform_finite_strain_rotations = false
  [../]
[]
[Preconditioning]
  [./andy]
    type = SMP
    full = true
    petsc_options_iname = '-snes_type'
    petsc_options_value = 'test'
  [../]
[]
[Executioner]
  type = Transient
  solve_type = Newton
[]
(modules/tensor_mechanics/test/tests/jacobian/mc_update4.i)
# MC update version, with only Tensile with tensile strength = 1MPa and smoothing_tol = 0.1E5
# Lame lambda = 1GPa.  Lame mu = 1.3GPa
# Units in this file are MPa (not Pa)
#
# Start from non-diagonal stress state
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 1
  [../]
  [./cs]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./ang]
    type = TensorMechanicsHardeningConstant
    value = 30
    convert_to_radians = true
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    lambda = 1.0E3
    shear_modulus = 1.3E3
  [../]
  [./strain]
    type = ComputeIncrementalSmallStrain
    displacements = 'disp_x disp_y disp_z'
    eigenstrain_names = ini_stress
  [../]
  [./ini_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = '2 -1 0.5  1 1.9 0  0.5 0 3'
    eigenstrain_name = ini_stress
  [../]
  [./cmc]
    type = CappedMohrCoulombStressUpdate
    tensile_strength = ts
    compressive_strength = cs
    cohesion = coh
    friction_angle = ang
    dilation_angle = ang
    smoothing_tol = 0.1
    yield_function_tol = 1.0E-12
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = cmc
    perform_finite_strain_rotations = false
  [../]
[]
[Preconditioning]
  [./andy]
    type = SMP
    full = true
    petsc_options_iname = '-snes_type'
    petsc_options_value = 'test'
  [../]
[]
[Executioner]
  type = Transient
  solve_type = Newton
[]
(modules/tensor_mechanics/test/tests/tensile/small_deform3.i)
# checking for small deformation
# A single element is stretched by "ep" in the z and x directions
# This causes the return direction to be along the hypersurface sigma_I = sigma_II
# tensile_strength is set to 1Pa, tip_smoother = 0, edge_smoother = 25degrees
# Then A + B + C = 0.609965
#
# The trial stress is (la, 0, la), with mean stress 2la/3, and bar(sigma)=sqrt(secondInvariant)=la/sqrt(3)
# If this sits on the yield surface then
# 2la/3 + la*K/sqrt(3) - 1 = 0
# So la = 0.9815.  Therefore, with young's modulus = 2MPa, we need "ep" = 0.9815/4.  I set
# "ep" = 0.25 and observe a tiny amount of yielding
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    incremental = true
    strain = finite
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0.25E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '0.25E-6*z'
  [../]
[]
[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = yield_fcn
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 1
  [../]
  [./mc]
    type = TensorMechanicsPlasticTensile
    tensile_strength = ts
    yield_function_tolerance = 1E-6
    tensile_tip_smoother = 0.0
    internal_constraint_tolerance = 1E-5
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 2.0E6'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-5
    plastic_models = mc
    debug_fspb = crash
  [../]
[]
[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform3
  exodus = false
  [./csv]
    type = CSV
    [../]
[]
(modules/tensor_mechanics/test/tests/jacobian/mc_update3.i)
# MC update version, with only Tensile with tensile strength = 1MPa and smoothing_tol = 0.1E5
# Lame lambda = 1GPa.  Lame mu = 1.3GPa
# Units in this file are MPa (not Pa)
#
# Return to the stress_I = stress_II = stress_III ~1 tip
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 1
  [../]
  [./cs]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./ang]
    type = TensorMechanicsHardeningConstant
    value = 30
    convert_to_radians = true
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    lambda = 1.0E3
    shear_modulus = 1.3E3
  [../]
  [./strain]
    type = ComputeIncrementalSmallStrain
    displacements = 'disp_x disp_y disp_z'
    eigenstrain_names = ini_stress
  [../]
  [./ini_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = '2 0 0  0 1.9 0  0 0 2.1'
    eigenstrain_name = ini_stress
  [../]
  [./cmc]
    type = CappedMohrCoulombStressUpdate
    tensile_strength = ts
    compressive_strength = cs
    cohesion = coh
    friction_angle = ang
    dilation_angle = ang
    smoothing_tol = 0.1
    yield_function_tol = 1.0E-12
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = cmc
    perform_finite_strain_rotations = false
  [../]
[]
[Preconditioning]
  [./andy]
    type = SMP
    full = true
    petsc_options_iname = '-snes_type'
    petsc_options_value = 'test'
  [../]
[]
[Executioner]
  type = Transient
  solve_type = Newton
[]
(modules/tensor_mechanics/test/tests/mohr_coulomb/uni_axial3.i)
[Mesh]
  type = FileMesh
  file = quarter_hole.e
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[BCs]
  [./zmin_zzero]
    type = DirichletBC
    variable = disp_z
    boundary = 'zmin'
    value = '0'
  [../]
  [./xmin_xzero]
    type = DirichletBC
    variable = disp_x
    boundary = 'xmin'
    value = '0'
  [../]
  [./ymin_yzero]
    type = DirichletBC
    variable = disp_y
    boundary = 'ymin'
    value = '0'
  [../]
  [./ymax_disp]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'ymax'
    function = '-1E-4*t'
  [../]
[]
[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mc_int]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./mc_int_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_internal_parameter
    variable = mc_int
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0.005 0.02 0.002'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0.005 0.02 0.002'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0.005 0.02 0.002'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0.005 0.02 0.002'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0.005 0.02 0.002'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0.005 0.02 0.002'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0.005 0.02 0.002'
    variable = yield_fcn
  [../]
[]
[UserObjects]
  [./mc_coh]
    type = TensorMechanicsHardeningConstant
    value = 10E6
  [../]
  [./mc_phi]
    type = TensorMechanicsHardeningConstant
    value = 40
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = TensorMechanicsHardeningConstant
    value = 40
    convert_to_radians = true
  [../]
  [./mc]
    type = TensorMechanicsPlasticMohrCoulomb
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    mc_tip_smoother = 0.01E6
    mc_edge_smoother = 29
    yield_function_tolerance = 1E-5
    internal_constraint_tolerance = 1E-11
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 1
    fill_method = symmetric_isotropic
    C_ijkl = '0 5E9' # young = 10Gpa, poisson = 0.0
  [../]
  [./strain]
    type = ComputeIncrementalSmallStrain
    block = 1
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 1
    ep_plastic_tolerance = 1E-11
    plastic_models = mc
    max_NR_iterations = 1000
    debug_fspb = crash
  [../]
[]
# Preconditioning and Executioner options kindly provided by Andrea
[Preconditioning]
  [./andy]
    type = SMP
    full = true
  [../]
[]
[Executioner]
  end_time = 1.05
  dt = 0.1
  solve_type = NEWTON
  type = Transient
  nl_abs_tol = 1E-10
  nl_rel_tol = 1E-12
  l_tol = 1E-2
  l_max_its = 50
  nl_max_its = 400
  petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -ksp_type -ksp_gmres_restart'
  petsc_options_value = ' asm      2              lu            gmres     200'
[]
[Outputs]
  file_base = uni_axial3
  exodus = true
  [./csv]
    type = CSV
    [../]
[]
(modules/tensor_mechanics/test/tests/jacobian/mc_update12.i)
# MC update version, with only compressive with compressive strength = 1MPa and smoothing_tol = 0.1E5
# Lame lambda = 1GPa.  Lame mu = 1.3GPa
# Units in this file are MPa (not Pa)
#
# Return to the stress_I = stress_II ~1 edge
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./cs]
    type = TensorMechanicsHardeningConstant
    value = 1
  [../]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./ang]
    type = TensorMechanicsHardeningConstant
    value = 30
    convert_to_radians = true
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    lambda = 1.0E3
    shear_modulus = 1.3E3
  [../]
  [./strain]
    type = ComputeIncrementalSmallStrain
    displacements = 'disp_x disp_y disp_z'
    eigenstrain_names = ini_stress
  [../]
  [./ini_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = '-2 0 0  0 0 0  0 0 -2.01'
    eigenstrain_name = ini_stress
  [../]
  [./cmc]
    type = CappedMohrCoulombStressUpdate
    tensile_strength = ts
    compressive_strength = cs
    cohesion = coh
    friction_angle = ang
    dilation_angle = ang
    smoothing_tol = 0.1
    yield_function_tol = 1.0E-12
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = cmc
    perform_finite_strain_rotations = false
  [../]
[]
[Preconditioning]
  [./andy]
    type = SMP
    full = true
    petsc_options_iname = '-snes_type'
    petsc_options_value = 'test'
  [../]
[]
[Executioner]
  type = Transient
  solve_type = Newton
[]
(modules/tensor_mechanics/test/tests/capped_weak_plane/small_deform9.i)
# apply a shear deformation to observe shear hardening.
# Shear gives q_trial = 2*Sqrt(20), p_trial=0
# The solution given by MOOSE correctly satisfies the equations
# 0 = f = q + p*tan(phi) - coh
# 0 = p - p_trial + ga * Ezzzz * dg/dp
# 0 = q - q_trial + ga * Ezxzx * dg/dq
# Here dg/dp = tan(psi), and dg/dq = 1
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz plastic_strain_xx plastic_strain_xy plastic_strain_xz plastic_strain_yy plastic_strain_yz plastic_strain_zz strain_xx strain_xy strain_xz strain_yy strain_yz strain_zz'
  [../]
[]
[BCs]
  [./bottomx]
    type = DirichletBC
    variable = disp_x
    boundary = back
    value = 0.0
  [../]
  [./bottomy]
    type = DirichletBC
    variable = disp_y
    boundary = back
    value = 0.0
  [../]
  [./bottomz]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0.0
  [../]
  [./topx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = front
    function = 't'
  [../]
  [./topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = front
    function = '2*t'
  [../]
  [./topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = '0'
  [../]
[]
[AuxVariables]
  [./f_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_compressive]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./ls]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./f_shear]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f_shear
  [../]
  [./f_tensile]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f_tensile
  [../]
  [./f_compressive]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f_compressive
  [../]
  [./intnl_shear]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = intnl_shear
  [../]
  [./intnl_tensile]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 1
    variable = intnl_tensile
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./ls]
    type = MaterialRealAux
    property = plastic_linesearch_needed
    variable = ls
  [../]
[]
[Postprocessors]
  [./stress_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./stress_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./stress_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./stress_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./stress_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./stress_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./strainp_xx]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_xx
  [../]
  [./strainp_xy]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_xy
  [../]
  [./strainp_xz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_xz
  [../]
  [./strainp_yy]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_yy
  [../]
  [./strainp_yz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_yz
  [../]
  [./strainp_zz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_zz
  [../]
  [./straint_xx]
    type = PointValue
    point = '0 0 0'
    variable = strain_xx
  [../]
  [./straint_xy]
    type = PointValue
    point = '0 0 0'
    variable = strain_xy
  [../]
  [./straint_xz]
    type = PointValue
    point = '0 0 0'
    variable = strain_xz
  [../]
  [./straint_yy]
    type = PointValue
    point = '0 0 0'
    variable = strain_yy
  [../]
  [./straint_yz]
    type = PointValue
    point = '0 0 0'
    variable = strain_yz
  [../]
  [./straint_zz]
    type = PointValue
    point = '0 0 0'
    variable = strain_zz
  [../]
  [./f_shear]
    type = PointValue
    point = '0 0 0'
    variable = f_shear
  [../]
  [./f_tensile]
    type = PointValue
    point = '0 0 0'
    variable = f_tensile
  [../]
  [./f_compressive]
    type = PointValue
    point = '0 0 0'
    variable = f_compressive
  [../]
  [./intnl_shear]
    type = PointValue
    point = '0 0 0'
    variable = intnl_shear
  [../]
  [./intnl_tensile]
    type = PointValue
    point = '0 0 0'
    variable = intnl_tensile
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
  [./ls]
    type = PointValue
    point = '0 0 0'
    variable = ls
  [../]
[]
[UserObjects]
  [./coh]
    type = TensorMechanicsHardeningExponential
    value_0 = 1
    value_residual = 2
    rate = 1
  [../]
  [./tanphi]
    type = TensorMechanicsHardeningExponential
    value_0 = 1.0
    value_residual = 0.5
    rate = 2
  [../]
  [./tanpsi]
    type = TensorMechanicsHardeningExponential
    value_0 = 0.1
    value_residual = 0.05
    rate = 1
  [../]
  [./t_strength]
    type = TensorMechanicsHardeningConstant
    value = 1E8
  [../]
  [./c_strength]
    type = TensorMechanicsHardeningConstant
    value = 1E8
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '4 4'
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    inelastic_models = stress
    perform_finite_strain_rotations = false
  [../]
  [./stress]
    type = CappedWeakPlaneStressUpdate
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    tensile_strength = t_strength
    compressive_strength = c_strength
    max_NR_iterations = 20
    tip_smoother = 0
    smoothing_tol = 1
    yield_function_tol = 1E-3
  [../]
[]
[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform9
  [./csv]
    type = CSV
  [../]
[]
(modules/tensor_mechanics/examples/coal_mining/fine.i)
# Strata deformation and fracturing around a coal mine - 3D model
#
# A "half model" is used.  The mine is 400m deep and
# just the roof is studied (-400<=z<=0).  The mining panel
# sits between 0<=x<=150, and 0<=y<=1000, so this simulates
# a coal panel that is 300m wide and 1000m long.  The outer boundaries
# are 1km from the excavation boundaries.
#
# Time is meaningless in this example
# as quasi-static solutions are sought at each timestep, but
# the number of timesteps controls the resolution of the
# process.
#
# The boundary conditions for this simulation are:
#  - disp_x = 0 at x=0 and x=1150
#  - disp_y = 0 at y=-1000 and y=1000
#  - disp_z = 0 at z=-400, but there is a time-dependent
#               Young's modulus that simulates excavation
#  - wc_x = 0 at y=-1000 and y=1000
#  - wc_y = 0 at x=0 and x=1150
# That is, rollers on the sides, free at top,
# and prescribed at bottom in the unexcavated portion.
#
# The small strain formulation is used.
#
# All stresses are measured in MPa.  The initial stress is consistent with
# the weight force from density 2500 kg/m^3, ie, stress_zz = 0.025*z MPa
# where gravity = 10 m.s^-2 = 1E-5 MPa m^2/kg.  The maximum and minimum
# principal horizontal stresses are assumed to be equal to 0.8*stress_zz.
#
# Material properties:
# Young's modulus = 8 GPa
# Poisson's ratio = 0.25
# Cosserat layer thickness = 1 m
# Cosserat-joint normal stiffness = large
# Cosserat-joint shear stiffness = 1 GPa
# MC cohesion = 3 MPa
# MC friction angle = 37 deg
# MC dilation angle = 8 deg
# MC tensile strength = 1 MPa
# MC compressive strength = 100 MPa
# WeakPlane cohesion = 0.1 MPa
# WeakPlane friction angle = 30 deg
# WeakPlane dilation angle = 10 deg
# WeakPlane tensile strength = 0.1 MPa
# WeakPlane compressive strength = 100 MPa softening to 1 MPa at strain = 1
#
[Mesh]
  [file]
    type = FileMeshGenerator
    file = mesh/fine.e
  []
  [./xmin]
    input = file
    type = SideSetsAroundSubdomainGenerator
    block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30'
    new_boundary = xmin
    normal = '-1 0 0'
  [../]
  [./xmax]
    input = xmin
    type = SideSetsAroundSubdomainGenerator
    block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30'
    new_boundary = xmax
    normal = '1 0 0'
  [../]
  [./ymin]
    input = xmax
    type = SideSetsAroundSubdomainGenerator
    block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30'
    new_boundary = ymin
    normal = '0 -1 0'
  [../]
  [./ymax]
    input = ymin
    type = SideSetsAroundSubdomainGenerator
    block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30'
    new_boundary = ymax
    normal = '0 1 0'
  [../]
  [./zmax]
    input = ymax
    type = SideSetsAroundSubdomainGenerator
    block = 30
    new_boundary = zmax
    normal = '0 0 1'
  [../]
  [./zmin]
    input = zmax
    type = SideSetsAroundSubdomainGenerator
    block = 2
    new_boundary = zmin
    normal = '0 0 -1'
  [../]
  [./excav]
    type = SubdomainBoundingBoxGenerator
    input = zmin
    block_id = 1
    bottom_left = '0 0 -400'
    top_right = '150 1000 -397'
  [../]
  [./roof]
    type = SideSetsAroundSubdomainGenerator
    block = 1
    input = excav
    new_boundary = roof
    normal = '0 0 1'
  [../]
[]
[GlobalParams]
  perform_finite_strain_rotations = false
  displacements = 'disp_x disp_y disp_z'
  Cosserat_rotations = 'wc_x wc_y wc_z'
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
  [./wc_x]
  [../]
  [./wc_y]
  [../]
[]
[Kernels]
  [./cx_elastic]
    type = CosseratStressDivergenceTensors
    use_displaced_mesh = false
    variable = disp_x
    component = 0
  [../]
  [./cy_elastic]
    type = CosseratStressDivergenceTensors
    use_displaced_mesh = false
    variable = disp_y
    component = 1
  [../]
  [./cz_elastic]
    type = CosseratStressDivergenceTensors
    use_displaced_mesh = false
    variable = disp_z
    component = 2
  [../]
  [./x_couple]
    type = StressDivergenceTensors
    use_displaced_mesh = false
    variable = wc_x
    displacements = 'wc_x wc_y wc_z'
    component = 0
    base_name = couple
  [../]
  [./y_couple]
    type = StressDivergenceTensors
    use_displaced_mesh = false
    variable = wc_y
    displacements = 'wc_x wc_y wc_z'
    component = 1
    base_name = couple
  [../]
  [./x_moment]
    type = MomentBalancing
    use_displaced_mesh = false
    variable = wc_x
    component = 0
  [../]
  [./y_moment]
    type = MomentBalancing
    use_displaced_mesh = false
    variable = wc_y
    component = 1
  [../]
  [./gravity]
    type = Gravity
    use_displaced_mesh = false
    variable = disp_z
    value = -10E-6 # remember this is in MPa
  [../]
[]
[AuxVariables]
  [./wc_z]
  [../]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mc_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mc_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./wp_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./wp_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./wp_shear_f]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./wp_tensile_f]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mc_shear_f]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mc_tensile_f]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yx
    index_i = 1
    index_j = 0
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zx
    index_i = 2
    index_j = 0
  [../]
  [./stress_zy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zy
    index_i = 2
    index_j = 1
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./mc_shear]
    type = MaterialStdVectorAux
    index = 0
    property = mc_plastic_internal_parameter
    variable = mc_shear
  [../]
  [./mc_tensile]
    type = MaterialStdVectorAux
    index = 1
    property = mc_plastic_internal_parameter
    variable = mc_tensile
  [../]
  [./wp_shear]
    type = MaterialStdVectorAux
    index = 0
    property = wp_plastic_internal_parameter
    variable = wp_shear
  [../]
  [./wp_tensile]
    type = MaterialStdVectorAux
    index = 1
    property = wp_plastic_internal_parameter
    variable = wp_tensile
  [../]
  [./mc_shear_f]
    type = MaterialStdVectorAux
    index = 6
    property = mc_plastic_yield_function
    variable = mc_shear_f
  [../]
  [./mc_tensile_f]
    type = MaterialStdVectorAux
    index = 0
    property = mc_plastic_yield_function
    variable = mc_tensile_f
  [../]
  [./wp_shear_f]
    type = MaterialStdVectorAux
    index = 0
    property = wp_plastic_yield_function
    variable = wp_shear_f
  [../]
  [./wp_tensile_f]
    type = MaterialStdVectorAux
    index = 1
    property = wp_plastic_yield_function
    variable = wp_tensile_f
  [../]
[]
[BCs]
  [./no_x]
    type = DirichletBC
    variable = disp_x
    boundary = 'xmin xmax'
    value = 0.0
  [../]
  [./no_y]
    type = DirichletBC
    variable = disp_y
    boundary = 'ymin ymax'
    value = 0.0
  [../]
  [./no_z]
    type = DirichletBC
    variable = disp_z
    boundary = zmin
    value = 0.0
  [../]
  [./no_wc_x]
    type = DirichletBC
    variable = wc_x
    boundary = 'ymin ymax'
    value = 0.0
  [../]
  [./no_wc_y]
    type = DirichletBC
    variable = wc_y
    boundary = 'xmin xmax'
    value = 0.0
  [../]
  [./roof]
    type = StickyBC
    variable = disp_z
    min_value = -3.0
    boundary = roof
  [../]
[]
[Functions]
  [./ini_xx]
    type = ParsedFunction
    value = '0.8*2500*10E-6*z'
  [../]
  [./ini_zz]
    type = ParsedFunction
    value = '2500*10E-6*z'
  [../]
  [./excav_sideways]
    type = ParsedFunction
    vars = 'end_t ymin ymax  minval maxval slope'
    vals = '100.0   0    1000.0 1E-9 1 10'
    # excavation face at ymin+(ymax-ymin)*min(t/end_t,1)
    # slope is the distance over which the modulus reduces from maxval to minval
    value = 'if(y<ymin+(ymax-ymin)*min(t/end_t,1),minval,if(y<ymin+(ymax-ymin)*min(t/end_t,1)+slope,minval+(maxval-minval)*(y-(ymin+(ymax-ymin)*min(t/end_t,1)))/slope,maxval))'
  [../]
  [./density_sideways]
    type = ParsedFunction
    vars = 'end_t ymin ymax  minval maxval'
    vals = '100.0   0    1000.0 0 2500'
    value = 'if(y<ymin+(ymax-ymin)*min(t/end_t,1),minval,maxval)'
  [../]
[]
[UserObjects]
  [./mc_coh_strong_harden]
    type = TensorMechanicsHardeningExponential
    value_0 = 2.99 # MPa
    value_residual = 3.01 # MPa
    rate = 1.0
  [../]
  [./mc_fric]
    type = TensorMechanicsHardeningConstant
    value = 0.65 # 37deg
  [../]
  [./mc_dil]
    type = TensorMechanicsHardeningConstant
    value = 0.15 # 8deg
  [../]
  [./mc_tensile_str_strong_harden]
    type = TensorMechanicsHardeningExponential
    value_0 = 1.0 # MPa
    value_residual = 1.0 # MPa
    rate = 1.0
  [../]
  [./mc_compressive_str]
    type = TensorMechanicsHardeningCubic
    value_0 = 100 # Large!
    value_residual = 100
    internal_limit = 0.1
  [../]
  [./wp_coh_harden]
    type = TensorMechanicsHardeningCubic
    value_0 = 0.1
    value_residual = 0.1
    internal_limit = 10
  [../]
  [./wp_tan_fric]
    type = TensorMechanicsHardeningConstant
    value = 0.36 # 20deg
  [../]
  [./wp_tan_dil]
    type = TensorMechanicsHardeningConstant
    value = 0.18 # 10deg
  [../]
  [./wp_tensile_str_harden]
    type = TensorMechanicsHardeningCubic
    value_0 = 0.1
    value_residual = 0.1
    internal_limit = 10
  [../]
  [./wp_compressive_str_soften]
    type = TensorMechanicsHardeningCubic
    value_0 = 100
    value_residual = 1
    internal_limit = 1.0
  [../]
[]
[Materials]
  [./elasticity_tensor_0]
    type = ComputeLayeredCosseratElasticityTensor
    block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30'
    young = 8E3 # MPa
    poisson = 0.25
    layer_thickness = 1.0
    joint_normal_stiffness = 1E9 # huge
    joint_shear_stiffness = 1E3 # MPa
  [../]
  [./elasticity_tensor_1]
    type = ComputeLayeredCosseratElasticityTensor
    block = 1
    young = 8E3 # MPa
    poisson = 0.25
    layer_thickness = 1.0
    joint_normal_stiffness = 1E9 # huge
    joint_shear_stiffness = 1E3 # MPa
    elasticity_tensor_prefactor = excav_sideways
  [../]
  [./strain]
    type = ComputeCosseratIncrementalSmallStrain
    eigenstrain_names = ini_stress
  [../]
  [./ini_stress]
    type = ComputeEigenstrainFromInitialStress
    eigenstrain_name = ini_stress
    initial_stress = 'ini_xx 0 0  0 ini_xx 0  0 0 ini_zz'
  [../]
  [./stress_0]
    type = ComputeMultipleInelasticCosseratStress
    block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30'
    inelastic_models = 'mc wp'
    cycle_models = true
    relative_tolerance = 2.0
    absolute_tolerance = 1E6
    max_iterations = 1
    tangent_operator = nonlinear
    perform_finite_strain_rotations = false
  [../]
  [./stress_1]
    type = ComputeMultipleInelasticCosseratStress
    block = 1
    inelastic_models = ''
    relative_tolerance = 2.0
    absolute_tolerance = 1E6
    max_iterations = 1
    tangent_operator = nonlinear
    perform_finite_strain_rotations = false
  [../]
  [./mc]
    type = CappedMohrCoulombCosseratStressUpdate
    warn_about_precision_loss = false
    host_youngs_modulus = 8E3
    host_poissons_ratio = 0.25
    base_name = mc
    tensile_strength = mc_tensile_str_strong_harden
    compressive_strength = mc_compressive_str
    cohesion = mc_coh_strong_harden
    friction_angle = mc_fric
    dilation_angle = mc_dil
    max_NR_iterations = 100000
    smoothing_tol = 0.1 # MPa  # Must be linked to cohesion
    yield_function_tol = 1E-9 # MPa.  this is essentially the lowest possible without lots of precision loss
    perfect_guess = true
    min_step_size = 1.0
  [../]
  [./wp]
    type = CappedWeakPlaneCosseratStressUpdate
    warn_about_precision_loss = false
    base_name = wp
    cohesion = wp_coh_harden
    tan_friction_angle = wp_tan_fric
    tan_dilation_angle = wp_tan_dil
    tensile_strength = wp_tensile_str_harden
    compressive_strength = wp_compressive_str_soften
    max_NR_iterations = 10000
    tip_smoother = 0.1
    smoothing_tol = 0.1 # MPa  # Note, this must be tied to cohesion, otherwise get no possible return at cone apex
    yield_function_tol = 1E-11 # MPa.  this is essentially the lowest possible without lots of precision loss
    perfect_guess = true
    min_step_size = 1.0E-3
  [../]
  [./density_0]
    type = GenericConstantMaterial
    block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30'
    prop_names = density
    prop_values = 2500
  [../]
  [./density_1]
    type = GenericFunctionMaterial
    block = 1
    prop_names = density
    prop_values = density_sideways
  [../]
[]
[Preconditioning]
  [./SMP]
    type = SMP
    full = true
  []
[]
[Postprocessors]
  [./min_roof_disp]
    type = NodalExtremeValue
    boundary = roof
    value_type = min
    variable = disp_z
  [../]
  [./min_surface_disp]
    type = NodalExtremeValue
    boundary = zmax
    value_type = min
    variable = disp_z
  [../]
[]
[Executioner]
  type = Transient
  solve_type = 'NEWTON'
  petsc_options = '-snes_converged_reason'
  petsc_options_iname = '-pc_type -ksp_type -ksp_gmres_restart'
  petsc_options_value = ' bjacobi  gmres     200'
  line_search = bt
  nl_abs_tol = 1e-3
  nl_rel_tol = 1e-5
  l_max_its = 30
  nl_max_its = 1000
  start_time = 0.0
  dt = 0.5
  end_time = 100.0
[]
[Outputs]
  interval = 1
  print_linear_residuals = false
  exodus = true
  csv = true
  console = true
[]
(modules/tensor_mechanics/test/tests/capped_weak_plane/small_deform7.i)
# Plastic deformation, tensile with hardening
# With Lame lambda=0 and Lame mu=1, applying the following
# deformation to the zmax surface of a unit cube:
# disp_z = t
# should yield trial stress:
# stress_zz = 2*t
# The tensile strength varies as a cubic between 1 (at intnl=0)
# and 2 (at intnl=1).  The equation to solve is
# 2 - Ezzzz * ga = -2 * (ga - 1/2)^3 + (3/2) (ga - 1/2) + 3/2
# where the left-hand side comes from p = p_trial - ga * Ezzzz
# and the right-hand side is the cubic tensile strength
# The solution is ga = 0.355416 ( = intnl[1]), and the cubic
# is 1.289168 ( = p) at that point
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz plastic_strain_xx plastic_strain_xy plastic_strain_xz plastic_strain_yy plastic_strain_yz plastic_strain_zz strain_xx strain_xy strain_xz strain_yy strain_yz strain_zz'
  [../]
[]
[BCs]
  [./bottomx]
    type = DirichletBC
    variable = disp_x
    boundary = back
    value = 0.0
  [../]
  [./bottomy]
    type = DirichletBC
    variable = disp_y
    boundary = back
    value = 0.0
  [../]
  [./bottomz]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0.0
  [../]
  [./topx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = front
    function = 0
  [../]
  [./topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = front
    function = 0
  [../]
  [./topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = t
  [../]
[]
[AuxVariables]
  [./f_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_compressive]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./ls]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./f_shear]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f_shear
  [../]
  [./f_tensile]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f_tensile
  [../]
  [./f_compressive]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f_compressive
  [../]
  [./intnl_shear]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = intnl_shear
  [../]
  [./intnl_tensile]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 1
    variable = intnl_tensile
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./ls]
    type = MaterialRealAux
    property = plastic_linesearch_needed
    variable = ls
  [../]
[]
[Postprocessors]
  [./stress_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./stress_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./stress_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./stress_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./stress_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./stress_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./strainp_xx]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_xx
  [../]
  [./strainp_xy]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_xy
  [../]
  [./strainp_xz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_xz
  [../]
  [./strainp_yy]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_yy
  [../]
  [./strainp_yz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_yz
  [../]
  [./strainp_zz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_zz
  [../]
  [./straint_xx]
    type = PointValue
    point = '0 0 0'
    variable = strain_xx
  [../]
  [./straint_xy]
    type = PointValue
    point = '0 0 0'
    variable = strain_xy
  [../]
  [./straint_xz]
    type = PointValue
    point = '0 0 0'
    variable = strain_xz
  [../]
  [./straint_yy]
    type = PointValue
    point = '0 0 0'
    variable = strain_yy
  [../]
  [./straint_yz]
    type = PointValue
    point = '0 0 0'
    variable = strain_yz
  [../]
  [./straint_zz]
    type = PointValue
    point = '0 0 0'
    variable = strain_zz
  [../]
  [./f_shear]
    type = PointValue
    point = '0 0 0'
    variable = f_shear
  [../]
  [./f_tensile]
    type = PointValue
    point = '0 0 0'
    variable = f_tensile
  [../]
  [./f_compressive]
    type = PointValue
    point = '0 0 0'
    variable = f_compressive
  [../]
  [./intnl_shear]
    type = PointValue
    point = '0 0 0'
    variable = intnl_shear
  [../]
  [./intnl_tensile]
    type = PointValue
    point = '0 0 0'
    variable = intnl_tensile
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
  [./ls]
    type = PointValue
    point = '0 0 0'
    variable = ls
  [../]
[]
[UserObjects]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 20
  [../]
  [./tanphi]
    type = TensorMechanicsHardeningConstant
    value = 0.5
  [../]
  [./tanpsi]
    type = TensorMechanicsHardeningConstant
    value = 0.1
  [../]
  [./t_strength]
    type = TensorMechanicsHardeningCubic
    value_0 = 1
    value_residual = 2
    internal_limit = 1
  [../]
  [./c_strength]
    type = TensorMechanicsHardeningConstant
    value = 100
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '0 1'
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    inelastic_models = stress
    perform_finite_strain_rotations = false
  [../]
  [./stress]
    type = CappedWeakPlaneStressUpdate
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    tensile_strength = t_strength
    compressive_strength = c_strength
    max_NR_iterations = 20
    tip_smoother = 5
    smoothing_tol = 5
    yield_function_tol = 1E-10
  [../]
[]
[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform7
  csv = true
[]
(modules/tensor_mechanics/test/tests/jacobian/mc_update8.i)
# MC update version, with only Tensile with tensile strength = 1MPa and smoothing_tol = 0.1E5
# Lame lambda = 1GPa.  Lame mu = 1.3GPa
# Units in this file are MPa (not Pa)
#
# Start from non-diagonal stress state with softening.
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningCubic
    value_0 = 1
    value_residual = 0
    internal_limit = 2E-3
  [../]
  [./cs]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./ang]
    type = TensorMechanicsHardeningConstant
    value = 30
    convert_to_radians = true
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    lambda = 1.0E3
    shear_modulus = 1.3E3
  [../]
  [./strain]
    type = ComputeIncrementalSmallStrain
    displacements = 'disp_x disp_y disp_z'
    eigenstrain_names = ini_stress
  [../]
  [./ini_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = '2 -1 0.5  1 1.9 0  0.5 0 3'
    eigenstrain_name = ini_stress
  [../]
  [./cmc]
    type = CappedMohrCoulombStressUpdate
    tensile_strength = ts
    compressive_strength = cs
    cohesion = coh
    friction_angle = ang
    dilation_angle = ang
    smoothing_tol = 0.1
    yield_function_tol = 1.0E-12
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = cmc
    perform_finite_strain_rotations = false
  [../]
[]
[Preconditioning]
  [./andy]
    type = SMP
    full = true
    petsc_options_iname = '-snes_type'
    petsc_options_value = 'test'
  [../]
[]
[Executioner]
  type = Transient
  solve_type = Newton
[]
(modules/tensor_mechanics/test/tests/capped_drucker_prager/small_deform2_inner_tip.i)
# apply repeated stretches in x, y and z directions, so that mean_stress = 0
# This maps out the yield surface in the octahedral plane for zero mean stress
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '-1.5E-6*x+2E-6*x*sin(t)'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '2E-6*y*sin(2*t)'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '-2E-6*z*(sin(t)+sin(2*t))'
  [../]
[]
[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 1000
  [../]
  [./cs]
    type = TensorMechanicsHardeningConstant
    value = 1000
  [../]
  [./mc_coh]
    type = TensorMechanicsHardeningConstant
    value = 10
  [../]
  [./mc_phi]
    type = TensorMechanicsHardeningConstant
    value = 20
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = TensorMechanicsHardeningConstant
    value = 0
  [../]
  [./dp]
    type = TensorMechanicsPlasticDruckerPrager
    mc_cohesion = mc_coh
    mc_friction_angle = mc_phi
    mc_dilation_angle = mc_psi
    mc_interpolation_scheme = inner_tip
    internal_constraint_tolerance = 1 # irrelevant here
    yield_function_tolerance = 1      # irrelevant here
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    inelastic_models = cdp
    perform_finite_strain_rotations = false
  [../]
  [./cdp]
    type = CappedDruckerPragerStressUpdate
    DP_model = dp
    tensile_strength = ts
    compressive_strength = cs
    yield_function_tol = 1E-8
    tip_smoother = 4
    smoothing_tol = 1E-5
  [../]
[]
[Executioner]
  end_time = 100
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform2_inner_tip
  exodus = false
  [./csv]
    type = CSV
  [../]
[]
(modules/tensor_mechanics/test/tests/mohr_coulomb/uni_axial1.i)
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[BCs]
  # back = zmin
  # front = zmax
  # bottom = ymin
  # top = ymax
  # left = xmin
  # right = xmax
  [./xmin_xzero]
    type = DirichletBC
    variable = disp_x
    boundary = 'left'
    value = '0'
  [../]
  [./ymin_yzero]
    type = DirichletBC
    variable = disp_y
    boundary = 'bottom'
    value = '0'
  [../]
  [./zmin_zzero]
    type = DirichletBC
    variable = disp_z
    boundary = 'back'
    value = '0'
  [../]
  [./zmax_disp]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front'
    function = '-1E-3*t'
  [../]
[]
[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mc_int]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./mc_int_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_internal_parameter
    variable = mc_int
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./mc_int]
    type = PointValue
    point = '0 0 0'
    variable = mc_int
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]
[UserObjects]
  [./mc_coh]
    type = TensorMechanicsHardeningConstant
    value = 10E6
  [../]
  [./mc_phi]
    type = TensorMechanicsHardeningExponential
    value_0 = 0
    value_residual = 0.6981317 # 40deg
    rate = 10000
  [../]
  [./mc_psi]
    type = TensorMechanicsHardeningConstant
    value = 0
  [../]
  [./mc]
    type = TensorMechanicsPlasticMohrCoulomb
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    mc_tip_smoother = 0
    mc_edge_smoother = 25
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-10
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '5.77E10 3.85E10' # young = 100Gpa, poisson = 0.3
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-10
    plastic_models = mc
    max_NR_iterations = 1000
    debug_fspb = crash
  [../]
[]
[Preconditioning]
  [./andy]
    type = SMP
    full = true
  [../]
[]
[Executioner]
  end_time = 0.5
  dt = 0.05
  solve_type = PJFNK  # cannot use NEWTON because we are using ComputeFiniteStrain, and hence the Jacobian contributions will not be correct, even though ComputeMultiPlasticityStress will compute the correct consistent tangent operator for small strains
  type = Transient
  line_search = 'none'
  nl_rel_tol = 1E-10
  l_tol = 1E-3
  l_max_its = 200
  nl_max_its = 10
  petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -ksp_type -ksp_gmres_restart'
  petsc_options_value = ' asm      2              lu            gmres     200'
[]
[Outputs]
  file_base = uni_axial1
  exodus = true
  [./csv]
    type = CSV
    [../]
[]
(modules/tensor_mechanics/test/tests/jacobian/cwp03.i)
# Capped weak-plane plasticity
# checking jacobian for tensile failure, with some shear
[Mesh]
  type = GeneratedMesh
  dim = 3
[]
[GlobalParams]
  block = 0
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[UserObjects]
  [./coh]
    type = TensorMechanicsHardeningExponential
    value_0 = 100
    value_residual = 2
    rate = 1
  [../]
  [./tanphi]
    type = TensorMechanicsHardeningExponential
    value_0 = 1.0
    value_residual = 0.5
    rate = 2
  [../]
  [./tanpsi]
    type = TensorMechanicsHardeningExponential
    value_0 = 0.1
    value_residual = 0.05
    rate = 1
  [../]
  [./t_strength]
    type = TensorMechanicsHardeningExponential
    value_0 = 1
    value_residual = 1
    rate = 1
  [../]
  [./c_strength]
    type = TensorMechanicsHardeningConstant
    value = 100
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    lambda = 1.0
    shear_modulus = 2.0
  [../]
  [./strain]
    type = ComputeIncrementalSmallStrain
    displacements = 'disp_x disp_y disp_z'
    eigenstrain_names = ini_stress
  [../]
  [./ini_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = '0 0 -2  0 0 1  -2 1 2'
    eigenstrain_name = ini_stress
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    inelastic_models = mc
    tangent_operator = nonlinear
  [../]
  [./mc]
    type = CappedWeakPlaneStressUpdate
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    tensile_strength = t_strength
    compressive_strength = c_strength
    max_NR_iterations = 20
    tip_smoother = 1
    smoothing_tol = 2
    yield_function_tol = 1E-10
  [../]
[]
[Preconditioning]
  [./andy]
    type = SMP
    full = true
    #petsc_options = '-snes_test_display'
    petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it -snes_type'
    petsc_options_value = 'bcgs bjacobi 1E-15 1E-10 10000 test'
  [../]
[]
[Executioner]
  type = Transient
  solve_type = Newton
[]
(modules/tensor_mechanics/test/tests/capped_drucker_prager/small_deform2_inner_edge.i)
# apply repeated stretches in x, y and z directions, so that mean_stress = 0
# This maps out the yield surface in the octahedral plane for zero mean stress
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '-1.5E-6*x+2E-6*x*sin(t)'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '2E-6*y*sin(2*t)'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '-2E-6*z*(sin(t)+sin(2*t))'
  [../]
[]
[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 1000
  [../]
  [./cs]
    type = TensorMechanicsHardeningConstant
    value = 1000
  [../]
  [./mc_coh]
    type = TensorMechanicsHardeningConstant
    value = 10
  [../]
  [./mc_phi]
    type = TensorMechanicsHardeningConstant
    value = 20
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = TensorMechanicsHardeningConstant
    value = 0
  [../]
  [./dp]
    type = TensorMechanicsPlasticDruckerPrager
    mc_cohesion = mc_coh
    mc_friction_angle = mc_phi
    mc_dilation_angle = mc_psi
    mc_interpolation_scheme = inner_edge
    internal_constraint_tolerance = 1 # irrelevant here
    yield_function_tolerance = 1      # irrelevant here
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    block = 0
    lambda = 0.0
    shear_modulus = 1.0e7
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    inelastic_models = cdp
    perform_finite_strain_rotations = false
  [../]
  [./cdp]
    type = CappedDruckerPragerStressUpdate
    DP_model = dp
    tensile_strength = ts
    compressive_strength = cs
    yield_function_tol = 1E-8
    tip_smoother = 4
    smoothing_tol = 1E-5
  [../]
[]
[Executioner]
  end_time = 100
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform2_inner_edge
  exodus = false
  [./csv]
    type = CSV
  [../]
[]
(modules/tensor_mechanics/test/tests/capped_weak_plane/except4.i)
# Exception: incorrect userobject types
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    incremental = true
  [../]
[]
[UserObjects]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = -1
  [../]
  [./tanphi]
    type = TensorMechanicsHardeningConstant
    value = 0.5
  [../]
  [./tanpsi]
    type = TensorMechanicsHardeningConstant
    value = 0.1111077
  [../]
  [./t_strength]
    type = TensorMechanicsHardeningConstant
    value = 1
  [../]
  [./c_strength]
    type = TensorMechanicsHardeningConstant
    value = 2
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E6'
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    inelastic_models = stress
    perform_finite_strain_rotations = false
  [../]
  [./stress]
    type = CappedWeakPlaneStressUpdate
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    tensile_strength = t_strength
    compressive_strength = c_strength
    tip_smoother = 0
    smoothing_tol = 1
    yield_function_tol = 1E-5
  [../]
[]
[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]
(modules/tensor_mechanics/test/tests/notched_plastic_block/biaxial_abbo.i)
# Uses an Abbo et al smoothed version of Mohr-Coulomb (via TensorMechanicsPlasticMohrCoulomb and ComputeMultiPlasticityStress) to simulate the following problem.
# A cubical block is notched around its equator.
# All of its outer surfaces have roller BCs, but the notched region is free to move as needed
# The block is initialised with a high hydrostatic tensile stress
# Without the notch, the BCs do not allow contraction of the block, and this stress configuration is admissible
# With the notch, however, the interior parts of the block are free to move in order to relieve stress, and this causes plastic failure
# The top surface is then pulled upwards (the bottom is fixed because of the roller BCs)
# This causes more failure
[Mesh]
  [generated_mesh]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 9
    ny = 9
    nz = 9
    xmin = 0
    xmax = 0.1
    ymin = 0
    ymax = 0.1
    zmin = 0
    zmax = 0.1
  []
  [block_to_remove_xmin]
    type = SubdomainBoundingBoxGenerator
    bottom_left = '-0.01 -0.01 0.045'
    top_right = '0.01 0.11 0.055'
    location = INSIDE
    block_id = 1
    input = generated_mesh
  []
  [block_to_remove_xmax]
    type = SubdomainBoundingBoxGenerator
    bottom_left = '0.09 -0.01 0.045'
    top_right = '0.11 0.11 0.055'
    location = INSIDE
    block_id = 1
    input = block_to_remove_xmin
  []
  [block_to_remove_ymin]
    type = SubdomainBoundingBoxGenerator
    bottom_left = '-0.01 -0.01 0.045'
    top_right = '0.11 0.01 0.055'
    location = INSIDE
    block_id = 1
    input = block_to_remove_xmax
  []
  [block_to_remove_ymax]
    type = SubdomainBoundingBoxGenerator
    bottom_left = '-0.01 0.09 0.045'
    top_right = '0.11 0.11 0.055'
    location = INSIDE
    block_id = 1
    input = block_to_remove_ymin
  []
  [remove_block]
    type = BlockDeletionGenerator
    block = 1
    input = block_to_remove_ymax
  []
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'max_principal_stress mid_principal_stress min_principal_stress stress_zz'
    eigenstrain_names = ini_stress
  [../]
[]
[Postprocessors]
  [./uz]
    type = PointValue
    point = '0 0 0.1'
    use_displaced_mesh = false
    variable = disp_z
  [../]
  [./s_zz]
    type = ElementAverageValue
    use_displaced_mesh = false
    variable = stress_zz
  [../]
  [./num_res]
    type = NumResidualEvaluations
  [../]
  [./nr_its] # num_iters is the average number of NR iterations encountered per element in this timestep
    type = ElementAverageValue
    variable = num_iters
  [../]
  [./max_nr_its] # num_iters is the average number of NR iterations encountered in the element in this timestep, so we must get max(max_nr_its) to obtain the max number of iterations
    type = ElementExtremeValue
    variable = num_iters
  [../]
  [./runtime]
    type = PerfGraphData
    data_type = TOTAL
    section_name = 'Root'
  [../]
[]
[BCs]
  # back=zmin, front=zmax, bottom=ymin, top=ymax, left=xmin, right=xmax
  [./xmin_xzero]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0.0
  [../]
  [./xmax_xzero]
    type = DirichletBC
    variable = disp_x
    boundary = right
    value = 0.0
  [../]
  [./ymin_yzero]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0.0
  [../]
  [./ymax_yzero]
    type = DirichletBC
    variable = disp_y
    boundary = top
    value = 0.0
  [../]
  [./zmin_zzero]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = '0'
  [../]
  [./zmax_disp]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = '1E-6*max(t,0)'
  [../]
[]
[AuxVariables]
  [./mc_int]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./num_iters]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./mc_int_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_internal_parameter
    variable = mc_int
  [../]
  [./num_iters_auxk]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = num_iters
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]
[UserObjects]
  [./mc_coh]
    type = TensorMechanicsHardeningConstant
    value = 5E6
  [../]
  [./mc_phi]
    type = TensorMechanicsHardeningConstant
    value = 35
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = TensorMechanicsHardeningConstant
    value = 10
    convert_to_radians = true
  [../]
  [./mc]
    type = TensorMechanicsPlasticMohrCoulomb
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    mc_tip_smoother = 0.02E6
    mc_edge_smoother = 29
    yield_function_tolerance = 1E-5
    internal_constraint_tolerance = 1E-11
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 16E9
    poissons_ratio = 0.25
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    ep_plastic_tolerance = 1E-11
    plastic_models = mc
    max_NR_iterations = 1000
    debug_fspb = crash
  [../]
  [./strain_from_initial_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = '6E6 0 0  0 6E6 0  0 0 6E6'
    eigenstrain_name = ini_stress
  [../]
[]
[Preconditioning]
  [./andy]
    type = SMP
    full = true
  [../]
[]
[Executioner]
  start_time = -1
  end_time = 10
  dt = 1
  solve_type = NEWTON
  type = Transient
  l_tol = 1E-2
  nl_abs_tol = 1E-5
  nl_rel_tol = 1E-7
  l_max_its = 200
  nl_max_its = 400
  petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -ksp_type -ksp_gmres_restart'
  petsc_options_value = ' asm      2              lu            gmres     200'
[]
[Outputs]
  file_base = biaxial_abbo
  perf_graph = true
  exodus = false
  csv = true
[]
(modules/tensor_mechanics/test/tests/mean_cap/small_deform2.i)
# apply compression in x, y and z directions such that strain = diag(-1E-6, -2E-6, 3E-6).
# With lame_lambda=0 and lame_mu=1E7, this gives
# trial_Stress = diag(-20, -40, -60), so trial_mean_Stress = -40.
# with a = -1 and strength = 30, the algorithm should return to
# stress = diag(-10, -30, -50)
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '-1E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '-2E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '-3E-6*z'
  [../]
[]
[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./f]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = f
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = f
  [../]
[]
[UserObjects]
  [./strength]
    type = TensorMechanicsHardeningConstant
    value = 30
  [../]
  [./cap]
    type = TensorMechanicsPlasticMeanCap
    a = -1
    strength = strength
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-9
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./strain]
    type = ComputeIncrementalSmallStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mean_cap]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = cap
    debug_fspb = crash
    debug_jac_at_stress = '10 0 0 0 10 0 0 0 10'
    debug_jac_at_pm = 1
    debug_jac_at_intnl = 1
    debug_stress_change = 1E-5
    debug_pm_change = 1E-6
    debug_intnl_change = 1E-6
  [../]
[]
[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform2
  exodus = false
  [./csv]
    type = CSV
  [../]
[]
(modules/tensor_mechanics/test/tests/capped_drucker_prager/random.i)
# capped drucker-prager
# apply many random large deformations, checking that the algorithm returns correctly to
# the yield surface each time.
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1000
  ny = 125
  nz = 1
  xmin = 0
  xmax = 1000
  ymin = 0
  ymax = 125
  zmin = 0
  zmax = 1
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    incremental = true
    strain = finite
  [../]
[]
[ICs]
  [./x]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_x
  [../]
  [./y]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_y
  [../]
  [./z]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_z
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '0'
  [../]
[]
[AuxVariables]
  [./shear_yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./tensile_yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./compressive_yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./shear_yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = shear_yield_fcn
  [../]
  [./tensile_fcn_auxk]
    type = MaterialStdVectorAux
    index = 1
    property = plastic_yield_function
    variable = tensile_yield_fcn
  [../]
  [./compressive_yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 2
    property = plastic_yield_function
    variable = compressive_yield_fcn
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
[]
[Postprocessors]
  [./shear_max]
    type = ElementExtremeValue
    variable = shear_yield_fcn
    outputs = 'console'
  [../]
  [./tensile_max]
    type = ElementExtremeValue
    variable = tensile_yield_fcn
    outputs = 'console'
  [../]
  [./compressive_max]
    type = ElementExtremeValue
    variable = compressive_yield_fcn
    outputs = 'console'
  [../]
  [./should_be_zero_shear]
    type = FunctionValuePostprocessor
    function = shear_should_be_zero_fcn
  [../]
  [./should_be_zero_compressive]
    type = FunctionValuePostprocessor
    function = compressive_should_be_zero_fcn
  [../]
  [./should_be_zero_tensile]
    type = FunctionValuePostprocessor
    function = tensile_should_be_zero_fcn
  [../]
  [./av_iter]
    type = ElementAverageValue
    variable = iter
    outputs = 'console'
  [../]
[]
[Functions]
  [./shear_should_be_zero_fcn]
    type = ParsedFunction
    value = 'if(a<1E-3,0,a)'
    vars = 'a'
    vals = 'shear_max'
  [../]
  [./tensile_should_be_zero_fcn]
    type = ParsedFunction
    value = 'if(a<1E-3,0,a)'
    vars = 'a'
    vals = 'tensile_max'
  [../]
  [./compressive_should_be_zero_fcn]
    type = ParsedFunction
    value = 'if(a<1E-3,0,a)'
    vars = 'a'
    vals = 'compressive_max'
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 1000
  [../]
  [./cs]
    type = TensorMechanicsHardeningConstant
    value = 1000
  [../]
  [./mc_coh]
    type = TensorMechanicsHardeningConstant
    value = 1E3
  [../]
  [./mc_phi]
    type = TensorMechanicsHardeningConstant
    value = 30
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = TensorMechanicsHardeningConstant
    value = 5
    convert_to_radians = true
  [../]
  [./dp]
    type = TensorMechanicsPlasticDruckerPrager
    mc_cohesion = mc_coh
    mc_friction_angle = mc_phi
    mc_dilation_angle = mc_psi
    yield_function_tolerance = 1      # irrelevant here
    internal_constraint_tolerance = 1 # irrelevant here
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0.7E7 1E7'
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    inelastic_models = dp
    perform_finite_strain_rotations = false
  [../]
  [./dp]
    type = CappedDruckerPragerStressUpdate
    DP_model = dp
    tensile_strength = ts
    compressive_strength = cs
    yield_function_tol = 1E-3
    tip_smoother = 0.1E3
    smoothing_tol = 0.1E3
    max_NR_iterations = 1000
    small_dilation = false
  [../]
[]
[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = random
  exodus = false
  [./csv]
    type = CSV
  [../]
[]
(modules/tensor_mechanics/test/tests/capped_drucker_prager/small_deform3_native.i)
# apply repeated stretches in x z directions, and smaller stretches along the y direction,
# so that sigma_I = sigma_II,
# which means that lode angle = 30deg.
# The allows yield surface in meridional plane to be mapped out
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '1E-6*x*t'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '-1.35E-6*y*t'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z*t'
  [../]
[]
[AuxVariables]
  [./mc_int]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./mc_int_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_internal_parameter
    variable = mc_int
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./internal]
    type = PointValue
    point = '0 0 0'
    variable = mc_int
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 1E5
  [../]
  [./cs]
    type = TensorMechanicsHardeningConstant
    value = 1E5
  [../]
  [./mc_coh]
    type = TensorMechanicsHardeningConstant
    value = 10
  [../]
  [./mc_phi]
    type = TensorMechanicsHardeningConstant
    value = 35
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = TensorMechanicsHardeningConstant
    value = 5
    convert_to_radians = true
  [../]
  [./dp]
    type = TensorMechanicsPlasticDruckerPrager
    mc_cohesion = mc_coh
    mc_friction_angle = mc_phi
    mc_dilation_angle = mc_psi
    mc_interpolation_scheme = native
    yield_function_tolerance = 1      # irrelevant here
    internal_constraint_tolerance = 1 # irrelevant here
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    inelastic_models = mc
    perform_finite_strain_rotations = false
  [../]
  [./mc]
    type = CappedDruckerPragerStressUpdate
    DP_model = dp
    tensile_strength = ts
    compressive_strength = cs
    yield_function_tol = 1E-8
    tip_smoother = 8
    smoothing_tol = 1E-7
  [../]
[]
[Executioner]
  end_time = 10
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform3_native
  exodus = false
  [./csv]
    type = CSV
  [../]
[]
(modules/tensor_mechanics/test/tests/weak_plane_shear/except2.i)
# checking for exception error messages
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./x_disp]
  [../]
  [./y_disp]
  [../]
  [./z_disp]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'x_disp y_disp z_disp'
  [../]
[]
[BCs]
  [./bottomx]
    type = DirichletBC
    variable = x_disp
    boundary = back
    value = 0.0
  [../]
  [./bottomy]
    type = DirichletBC
    variable = y_disp
    boundary = back
    value = 0.0
  [../]
  [./bottomz]
    type = DirichletBC
    variable = z_disp
    boundary = back
    value = 0.0
  [../]
  [./topx]
    type = DirichletBC
    variable = x_disp
    boundary = front
    value = 8E-6
  [../]
  [./topy]
    type = DirichletBC
    variable = y_disp
    boundary = front
    value = 6E-6
  [../]
  [./topz]
    type = DirichletBC
    variable = z_disp
    boundary = front
    value = 1E-6
  [../]
[]
[AuxVariables]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_zx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zx
    index_i = 2
    index_j = 0
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = yield_fcn
  [../]
[]
[Postprocessors]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]
[UserObjects]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 1
  [../]
  [./tanphi]
    type = TensorMechanicsHardeningConstant
    value = 0.5
  [../]
  [./tanpsi]
    type = TensorMechanicsHardeningConstant
    value = 0.1111077
  [../]
  [./wps]
    type = TensorMechanicsPlasticWeakPlaneShear
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    smoother = 0
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-3
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E6'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'x_disp y_disp z_disp'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    plastic_models = wps
    transverse_direction = '0 0 0'
    ep_plastic_tolerance = 1E-3
  [../]
[]
[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = except
  exodus = true
  [./csv]
    type = CSV
    [../]
[]
(modules/tensor_mechanics/test/tests/jacobian/mc_update21.i)
# MC update version, with only MohrCoulomb, cohesion=10, friction angle = 60, psi = 5, smoothing_tol = 1
# Lame lambda = 0.5.  Lame mu = 1
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./cs]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 10
  [../]
  [./phi]
    type = TensorMechanicsHardeningConstant
    value = 60
    convert_to_radians = true
  [../]
  [./psi]
    type = TensorMechanicsHardeningConstant
    value = 5
    convert_to_radians = true
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    lambda = 0.5
    shear_modulus = 1.0
  [../]
  [./strain]
    type = ComputeIncrementalSmallStrain
    displacements = 'disp_x disp_y disp_z'
    eigenstrain_names = ini_stress
  [../]
  [./ini_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = '3 0 0  0 3 0  0 0 1.5'
    eigenstrain_name = ini_stress
  [../]
  [./cmc]
    type = CappedMohrCoulombStressUpdate
    tensile_strength = ts
    compressive_strength = cs
    cohesion = coh
    friction_angle = phi
    dilation_angle = psi
    smoothing_tol = 1
    yield_function_tol = 1.0E-12
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = cmc
    perform_finite_strain_rotations = false
  [../]
[]
[Preconditioning]
  [./andy]
    type = SMP
    full = true
    petsc_options_iname = '-snes_type'
    petsc_options_value = 'test'
  [../]
[]
[Executioner]
  type = Transient
  solve_type = Newton
[]
(modules/tensor_mechanics/test/tests/capped_mohr_coulomb/small_deform24.i)
# apply repeated stretches in z directions, and smaller stretches along the x and y directions,
# so that sigma_mid = sigma_min (approximately),
# which means that lode angle = -30deg.
# The allows yield surface in meridional plane to be mapped out
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'max_principal_stress mid_principal_stress min_principal_stress stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0.25E-6*x*sin(t)'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0.25E-6*y*sin(t)'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z*t'
  [../]
[]
[AuxVariables]
  [./mc_int]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./mc_int_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_internal_parameter
    variable = mc_int
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 6
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./internal]
    type = PointValue
    point = '0 0 0'
    variable = mc_int
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./mc_coh]
    type = TensorMechanicsHardeningConstant
    value = 10
  [../]
  [./mc_phi]
    type = TensorMechanicsHardeningConstant
    value = 30
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = TensorMechanicsHardeningConstant
    value = 0.5
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./mc]
    type = CappedMohrCoulombStressUpdate
    tensile_strength = ts
    compressive_strength = ts
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    smoothing_tol = 5.0
    yield_function_tol = 1.0E-7
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = mc
    perform_finite_strain_rotations = false
  [../]
[]
[Executioner]
  end_time = 30
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform24
  csv = true
[]
(modules/tensor_mechanics/test/tests/mohr_coulomb/planar_hard4.i)
# apply repeated stretches in x direction, and smaller stretches along the y and z directions,
# so that sigma_II = sigma_III,
# which means that lode angle = -30deg.
# Both return to the edge (at lode_angle=-30deg, ie 000101) and tip are experienced.
#
# It is checked that the yield functions are less than their tolerance values
# It is checked that the cohesion hardens correctly
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0.05E-6*x*t'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0.05E-6*y*t'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z*t'
  [../]
[]
[Functions]
  [./should_be_zero_fcn]
    type = ParsedFunction
    value = 'if((a<1E-5)&(b<1E-5)&(c<1E-5)&(d<1E-5)&(g<1E-5)&(h<1E-5),0,abs(a)+abs(b)+abs(c)+abs(d)+abs(g)+abs(h))'
    vars = 'a b c d g h'
    vals = 'f0 f1 f2 f3 f4 f5'
  [../]
  [./coh_analytic]
    type = ParsedFunction
    value = '20-10*exp(-1E5*intnl)'
    vars = intnl
    vals = internal
  [../]
  [./coh_from_yieldfcns]
    type = ParsedFunction
    value = '(f0+f1-(sxx+syy)*sin(phi))/(-2)/cos(phi)'
    vars = 'f0 f1 sxx syy phi'
    vals = 'f0 f1 s_xx s_yy 0.8726646'
  [../]
  [./should_be_zero_coh]
    type = ParsedFunction
    value = 'if(abs(a-b)<1E-6,0,1E6*abs(a-b))'
    vars = 'a b'
    vals = 'Coh_analytic Coh_moose'
  [../]
[]
[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mc_int]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn3]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn4]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn5]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./mc_int_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_internal_parameter
    variable = mc_int
  [../]
  [./yield_fcn0]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn0
  [../]
  [./yield_fcn1]
    type = MaterialStdVectorAux
    index = 1
    property = plastic_yield_function
    variable = yield_fcn1
  [../]
  [./yield_fcn2]
    type = MaterialStdVectorAux
    index = 2
    property = plastic_yield_function
    variable = yield_fcn2
  [../]
  [./yield_fcn3]
    type = MaterialStdVectorAux
    index = 3
    property = plastic_yield_function
    variable = yield_fcn3
  [../]
  [./yield_fcn4]
    type = MaterialStdVectorAux
    index = 4
    property = plastic_yield_function
    variable = yield_fcn4
  [../]
  [./yield_fcn5]
    type = MaterialStdVectorAux
    index = 5
    property = plastic_yield_function
    variable = yield_fcn5
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./internal]
    type = PointValue
    point = '0 0 0'
    variable = mc_int
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn0
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn1
  [../]
  [./f2]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn2
  [../]
  [./f3]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn3
  [../]
  [./f4]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn4
  [../]
  [./f5]
   type = PointValue
    point = '0 0 0'
    variable = yield_fcn5
  [../]
  [./yfcns_should_be_zero]
    type = FunctionValuePostprocessor
    function = should_be_zero_fcn
  [../]
  [./Coh_analytic]
    type = FunctionValuePostprocessor
    function = coh_analytic
  [../]
  [./Coh_moose]
    type = FunctionValuePostprocessor
    function = coh_from_yieldfcns
  [../]
  [./cohesion_difference_should_be_zero]
    type = FunctionValuePostprocessor
    function = should_be_zero_coh
  [../]
[]
[UserObjects]
  [./mc_coh]
    type = TensorMechanicsHardeningExponential
    value_0 = 10
    value_residual = 20
    rate = 1E5
  [../]
  [./mc_phi]
    type = TensorMechanicsHardeningConstant
    value = 0.8726646
  [../]
  [./mc_psi]
    type = TensorMechanicsHardeningConstant
    value = 1 #0.8726646 # 50deg
  [../]
  [./mc]
    type = TensorMechanicsPlasticMohrCoulombMulti
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    use_custom_returnMap = true
    yield_function_tolerance = 1E-5
    internal_constraint_tolerance = 1E-9
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-12
    plastic_models = mc
  [../]
[]
[Executioner]
  end_time = 10
  dt = 2
  type = Transient
[]
[Outputs]
  file_base = planar_hard4
  exodus = false
  [./csv]
    type = CSV
    hide = 'f0 f1 f2 f3 f4 f5 s_xy s_xz s_yz Coh_analytic Coh_moose'
    execute_on = 'timestep_end'
  [../]
[]
(modules/tensor_mechanics/test/tests/jacobian/mc_update34.i)
# MC update version, with only MohrCoulomb, cohesion=40, friction angle = 35deg, psi = 5deg, smoothing_tol = 0.5
# Compressive strength = 1MPa
# Lame lambda = 1E3.  Lame mu = 1.3E3
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./cs]
    type = TensorMechanicsHardeningConstant
    value = 1E2
  [../]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 4E1
  [../]
  [./phi]
    type = TensorMechanicsHardeningConstant
    value = 35
    convert_to_radians = true
  [../]
  [./psi]
    type = TensorMechanicsHardeningConstant
    value = 5
    convert_to_radians = true
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    lambda = 1.0E3
    shear_modulus = 1.3E3
  [../]
  [./strain]
    type = ComputeIncrementalSmallStrain
    displacements = 'disp_x disp_y disp_z'
    eigenstrain_names = ini_stress
  [../]
  [./ini_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = '-100.1 -0.1 0.2  -0.1 -0.9 0  0.2 0 -1.1'
    eigenstrain_name = ini_stress
  [../]
  [./cmc]
    type = CappedMohrCoulombStressUpdate
    tensile_strength = ts
    compressive_strength = cs
    cohesion = coh
    friction_angle = phi
    dilation_angle = psi
    smoothing_tol = 0.5
    yield_function_tol = 1.0E-12
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = cmc
    perform_finite_strain_rotations = false
  [../]
[]
[Preconditioning]
  [./andy]
    type = SMP
    full = true
    petsc_options_iname = '-snes_type'
    petsc_options_value = 'test'
  [../]
[]
[Executioner]
  type = Transient
  solve_type = Newton
[]
(modules/tensor_mechanics/test/tests/jacobian/mc_update14.i)
# MC update version, with only Compressive with compressive strength = 1MPa and smoothing_tol = 0.1E5
# Lame lambda = 1GPa.  Lame mu = 1.3GPa
# Units in this file are MPa (not Pa)
#
# Start from non-diagonal stress state
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./cs]
    type = TensorMechanicsHardeningConstant
    value = 1
  [../]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./ang]
    type = TensorMechanicsHardeningConstant
    value = 30
    convert_to_radians = true
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    lambda = 1.0E3
    shear_modulus = 1.3E3
  [../]
  [./strain]
    type = ComputeIncrementalSmallStrain
    displacements = 'disp_x disp_y disp_z'
    eigenstrain_names = ini_stress
  [../]
  [./ini_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = '-2 1 -0.5  -1 -1.9 0  -0.5 0 -3'
    eigenstrain_name = ini_stress
  [../]
  [./cmc]
    type = CappedMohrCoulombStressUpdate
    tensile_strength = ts
    compressive_strength = cs
    cohesion = coh
    friction_angle = ang
    dilation_angle = ang
    smoothing_tol = 0.1
    yield_function_tol = 1.0E-12
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = cmc
    perform_finite_strain_rotations = false
  [../]
[]
[Preconditioning]
  [./andy]
    type = SMP
    full = true
    petsc_options_iname = '-snes_type'
    petsc_options_value = 'test'
  [../]
[]
[Executioner]
  type = Transient
  solve_type = Newton
[]
(modules/tensor_mechanics/test/tests/capped_mohr_coulomb/small_deform9_cosserat.i)
# Using Cosserat with large layer thickness, so this should reduce to standard
# Using CappedMohrCoulombCosserat with tensile failure only
# A single unit element is stretched in a complicated way that
# the trial stress is
#        1.51515             0.8        0.666667
#            0.8        -3.74545    -1.85037e-17
#            0.7    -1.66533e-17        -1.27273
# with symmetric part
#        1.51515             0.8        0.6833
#            0.8        -3.74545    -1.85037e-17
#            0.6833  -1.66533e-17      -1.27273
#
# This has eigenvalues
# la = {-3.86844, 1.78368, -1.41827}
# and eigenvectors
#
# {0.15183, -0.987598, -0.03997},
# {-0.966321, -0.139815, -0.216044},
# {-0.207777, -0.0714259, 0.975565}}
#
# The tensile strength is 0.5 and Young=1 and Poisson=0.25,
# with E_0000/E_0011 = nu / (1 - nu) = 0.333333
# Using smoothing_tol=0.01, the return-map algorithm should
# return to stress_I = 0.5, which is a reduction of 1.28368, so
# stress_II = -1.41827 - 1.28368 * 0.33333 = -1.846
# stress_III = -3.86844 - 1.28368 * 0.33333 = -4.296
#
# The final stress symmetric stress is
#
# {0.29, 0.69, 0.51},
# {0.69, -4.19, -0.03},
# {0.51, -0.03, -1.74}
#
# and a final unsymmetric stress of
#
# {0.29, 0.69, 0.49},
# {0.69, -4.19, -0.03},
# {0.52, -0.03, -1.74}
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  Cosserat_rotations = 'wc_x wc_y wc_z'
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
  [./wc_x]
  [../]
  [./wc_y]
  [../]
[]
[Kernels]
  [./cx_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_x
    component = 0
  [../]
  [./cy_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_y
    component = 1
  [../]
  [./cz_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_z
    component = 2
  [../]
  [./x_couple]
    type = StressDivergenceTensors
    variable = wc_x
    displacements = 'wc_x wc_y wc_z'
    component = 0
    base_name = couple
  [../]
  [./y_couple]
    type = StressDivergenceTensors
    variable = wc_y
    displacements = 'wc_x wc_y wc_z'
    component = 1
    base_name = couple
  [../]
  [./x_moment]
    type = MomentBalancing
    variable = wc_x
    component = 0
  [../]
  [./y_moment]
    type = MomentBalancing
    variable = wc_y
    component = 1
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '3*x-y+z'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '3*x-4*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = 'x-2*z'
  [../]
  [./wc_x]
    type = DirichletBC
    variable = wc_x
    boundary = 'front back'
    value = 0.0
  [../]
  [./wc_y]
    type = DirichletBC
    variable = wc_y
    boundary = 'front back'
    value = 0.0
  [../]
[]
[AuxVariables]
  [./wc_z]
  [../]
  [./stress_I]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_II]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_III]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_I]
    type = RankTwoScalarAux
    scalar_type = MaxPrincipal
    rank_two_tensor = stress
    variable = stress_I
    selected_qp = 0
  [../]
  [./stress_II]
    type = RankTwoScalarAux
    scalar_type = MidPrincipal
    rank_two_tensor = stress
    variable = stress_II
    selected_qp = 0
  [../]
  [./stress_III]
    type = RankTwoScalarAux
    scalar_type = MinPrincipal
    rank_two_tensor = stress
    variable = stress_III
    selected_qp = 0
  [../]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yx
    index_i = 1
    index_j = 0
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zx
    index_i = 2
    index_j = 0
  [../]
  [./stress_zy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zy
    index_i = 2
    index_j = 1
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./f0_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f0
  [../]
  [./f1_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f1
  [../]
  [./f2_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f2
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./intnl_auxk]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 1
    variable = intnl
  [../]
[]
[Postprocessors]
  [./s_I]
    type = PointValue
    point = '0 0 0'
    variable = stress_I
  [../]
  [./s_II]
    type = PointValue
    point = '0 0 0'
    variable = stress_II
  [../]
  [./s_III]
    type = PointValue
    point = '0 0 0'
    variable = stress_III
  [../]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yx]
    type = PointValue
    point = '0 0 0'
    variable = stress_yx
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zx]
    type = PointValue
    point = '0 0 0'
    variable = stress_zx
  [../]
  [./s_zy]
    type = PointValue
    point = '0 0 0'
    variable = stress_zy
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = f0
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = f1
  [../]
  [./f2]
    type = PointValue
    point = '0 0 0'
    variable = f2
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
  [./intnl]
    type = PointValue
    point = '0 0 0'
    variable = intnl
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 0.5
  [../]
  [./cs]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./ang]
    type = TensorMechanicsHardeningConstant
    value = 30
    convert_to_radians = true
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeLayeredCosseratElasticityTensor
    young = 1
    poisson = 0.25
    layer_thickness = 1.0
    joint_normal_stiffness = 1.0
    joint_shear_stiffness = 2.0
  [../]
  [./strain]
    type = ComputeCosseratIncrementalSmallStrain
  [../]
  [./tensile]
    type = CappedMohrCoulombCosseratStressUpdate
    tensile_strength = ts
    compressive_strength = cs
    cohesion = coh
    friction_angle = ang
    dilation_angle = ang
    smoothing_tol = 0.001
    yield_function_tol = 1.0E-12
    host_youngs_modulus = 1.0
    host_poissons_ratio = 0.25
  [../]
  [./stress]
    type = ComputeMultipleInelasticCosseratStress
    inelastic_models = tensile
    perform_finite_strain_rotations = false
  [../]
[]
[Executioner]
  end_time = 1
  dt = 1
  nl_abs_tol = 1E-10
  type = Transient
[]
[Outputs]
  file_base = small_deform9_cosserat
  csv = true
[]
(modules/tensor_mechanics/test/tests/capped_mohr_coulomb/small_deform_hard13.i)
# Using CappedMohrCoulomb with compressive failure only
# checking for small deformation, with cubic hardening
# A single element is repeatedly compressed in z direction
# compressive_strength is set to 0.9Pa, compressive_strength_residual = 0.5Pa, and limit value = 1E-5
# This allows the hardening of the compressive strength to be observed
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'max_principal_stress mid_principal_stress min_principal_stress stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '-0.5E-6*z*t'
  [../]
[]
[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 3
    variable = yield_fcn
  [../]
  [./iter_auxk]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./intnl_auxk]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 1
    variable = intnl
  [../]
[]
[Postprocessors]
  [./s_I]
    type = PointValue
    point = '0 0 0'
    variable = max_principal_stress
  [../]
  [./s_II]
    type = PointValue
    point = '0 0 0'
    variable = mid_principal_stress
  [../]
  [./s_III]
    type = PointValue
    point = '0 0 0'
    variable = min_principal_stress
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
  [./intnl]
    type = PointValue
    point = '0 0 0'
    variable = intnl
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./cs]
    type = TensorMechanicsHardeningCubic
    value_0 = 0.9
    value_residual = 0.5
    internal_0 = -1E-5
    internal_limit = 0
  [../]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./ang]
    type = TensorMechanicsHardeningConstant
    value = 0.5
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '0 2.0E6'
  [../]
  [./compressive]
    type = CappedMohrCoulombStressUpdate
    tensile_strength = ts
    compressive_strength = cs
    cohesion = coh
    friction_angle = ang
    dilation_angle = ang
    smoothing_tol = 0.0
    yield_function_tol = 1.0E-12
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = compressive
    perform_finite_strain_rotations = false
  [../]
[]
[Executioner]
  end_time = 10
  dt = 1.0
  type = Transient
[]
[Outputs]
  file_base = small_deform_hard13
  csv = true
[]
(modules/tensor_mechanics/test/tests/tensile/small_deform5_update_version.i)
# checking for small deformation
# A single element is incrementally stretched in the in the z and x directions
# This causes the return direction to be along the hypersurface sigma_I = sigma_II,
# and the resulting stresses are checked to lie on the expected yield surface
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    incremental = true
    strain = finite
    generate_output = 'max_principal_stress mid_principal_stress min_principal_stress stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '4*x*t'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = 'z*(t-0.5)'
  [../]
[]
[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = yield_fcn
  [../]
[]
[Postprocessors]
  [./s_I]
    type = PointValue
    point = '0 0 0'
    variable = max_principal_stress
  [../]
  [./s_II]
    type = PointValue
    point = '0 0 0'
    variable = mid_principal_stress
  [../]
  [./s_III]
    type = PointValue
    point = '0 0 0'
    variable = min_principal_stress
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 1
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '0 2.0'
  [../]
  [./tensile]
    type = TensileStressUpdate
    tensile_strength = ts
    smoothing_tol = 0.5
    yield_function_tol = 1.0E-12
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = tensile
    perform_finite_strain_rotations = false
  [../]
[]
[Executioner]
  end_time = 1
  dt = 0.1
  type = Transient
[]
[Outputs]
  file_base = small_deform5_update_version
  exodus = false
  [./csv]
    type = CSV
  [../]
[]
(modules/tensor_mechanics/test/tests/weak_plane_shear/except1.i)
# checking for exception error messages
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./x_disp]
  [../]
  [./y_disp]
  [../]
  [./z_disp]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[BCs]
  [./bottomx]
    type = DirichletBC
    variable = x_disp
    boundary = back
    value = 0.0
  [../]
  [./bottomy]
    type = DirichletBC
    variable = y_disp
    boundary = back
    value = 0.0
  [../]
  [./bottomz]
    type = DirichletBC
    variable = z_disp
    boundary = back
    value = 0.0
  [../]
  [./topx]
    type = DirichletBC
    variable = x_disp
    boundary = front
    value = 8E-6
  [../]
  [./topy]
    type = DirichletBC
    variable = y_disp
    boundary = front
    value = 6E-6
  [../]
  [./topz]
    type = DirichletBC
    variable = z_disp
    boundary = front
    value = 1E-6
  [../]
[]
[AuxVariables]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_zx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zx
    index_i = 2
    index_j = 0
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = yield_fcn
  [../]
[]
[Postprocessors]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]
[UserObjects]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 1
  [../]
  [./tanphi]
    type = TensorMechanicsHardeningConstant
    value = 0.5
  [../]
  [./tanpsi]
    type = TensorMechanicsHardeningConstant
    value = 0.55
  [../]
  [./wps]
    type = TensorMechanicsPlasticWeakPlaneShear
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    smoother = 0
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-3
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E6'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    plastic_models = wps
    transverse_direction = '0 0 1'
    ep_plastic_tolerance = 1E-3
  [../]
[]
[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = except
  exodus = true
  [./csv]
    type = CSV
    [../]
[]
(modules/tensor_mechanics/test/tests/jacobian/mc_update17.i)
# MC update version, with only Compressive with compressive strength = 1MPa and smoothing_tol = 0.1E5
# Lame lambda = 1GPa.  Lame mu = 1.3GPa
# Units in this file are MPa (not Pa)
#
# Start from non-diagonal stress state with softening.
# Returns to close to the edge of compressive yield
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./cs]
    type = TensorMechanicsHardeningCubic
    value_0 = 1
    value_residual = 0.5
    internal_limit = 2E-2
  [../]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./ang]
    type = TensorMechanicsHardeningConstant
    value = 30
    convert_to_radians = true
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    lambda = 1.0E3
    shear_modulus = 1.3E3
  [../]
  [./strain]
    type = ComputeIncrementalSmallStrain
    displacements = 'disp_x disp_y disp_z'
    eigenstrain_names = ini_stress
  [../]
  [./ini_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = '1 -0.1 -0.2  -0.1 -15 0.3  -0.2 0.3 -14'
    eigenstrain_name = ini_stress
  [../]
  [./cmc]
    type = CappedMohrCoulombStressUpdate
    tensile_strength = ts
    compressive_strength = cs
    cohesion = coh
    friction_angle = ang
    dilation_angle = ang
    smoothing_tol = 0.1
    yield_function_tol = 1.0E-12
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = cmc
    perform_finite_strain_rotations = false
  [../]
[]
[Preconditioning]
  [./andy]
    type = SMP
    full = true
    petsc_options_iname = '-snes_type'
    petsc_options_value = 'test'
  [../]
[]
[Executioner]
  type = Transient
  solve_type = Newton
[]
(modules/tensor_mechanics/test/tests/capped_weak_plane/except6.i)
# Plastic deformation, tensile failure, with normal=(1,0,0)
# With Lame lambda=0 and Lame mu=1, applying the following
# deformation to the zmax surface of a unit cube:
# disp_x = t
# should yield trial stress:
# stress_xx = 2*t
# Use tensile strength = 1, we should return to stress_xx = 1
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]
[BCs]
  [./bottomx]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0.0
  [../]
  [./bottomy]
    type = DirichletBC
    variable = disp_y
    boundary = left
    value = 0.0
  [../]
  [./bottomz]
    type = DirichletBC
    variable = disp_z
    boundary = left
    value = 0.0
  [../]
  [./topx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = right
    function = t
  [../]
  [./topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = right
    function = 0
  [../]
  [./topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = right
    function = 0
  [../]
[]
[AuxVariables]
  [./strainp_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_compressive]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./ls]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./strainp_xx]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_xx
    index_i = 0
    index_j = 0
  [../]
  [./strainp_xy]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_xy
    index_i = 0
    index_j = 1
  [../]
  [./strainp_xz]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_xz
    index_i = 0
    index_j = 2
  [../]
  [./strainp_yy]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_yy
    index_i = 1
    index_j = 1
  [../]
  [./strainp_yz]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_yz
    index_i = 1
    index_j = 2
  [../]
  [./strainp_zz]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_zz
    index_i = 2
    index_j = 2
  [../]
  [./straint_xx]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_xx
    index_i = 0
    index_j = 0
  [../]
  [./straint_xy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_xy
    index_i = 0
    index_j = 1
  [../]
  [./straint_xz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_xz
    index_i = 0
    index_j = 2
  [../]
  [./straint_yy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_yy
    index_i = 1
    index_j = 1
  [../]
  [./straint_yz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_yz
    index_i = 1
    index_j = 2
  [../]
  [./straint_zz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_zz
    index_i = 2
    index_j = 2
  [../]
  [./f_shear]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f_shear
  [../]
  [./f_tensile]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f_tensile
  [../]
  [./f_compressive]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f_compressive
  [../]
  [./intnl_shear]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = intnl_shear
  [../]
  [./intnl_tensile]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 1
    variable = intnl_tensile
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./ls]
    type = MaterialRealAux
    property = plastic_linesearch_needed
    variable = ls
  [../]
[]
[Postprocessors]
  [./stress_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./stress_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./stress_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./stress_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./stress_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./stress_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./strainp_xx]
    type = PointValue
    point = '0 0 0'
    variable = strainp_xx
  [../]
  [./strainp_xy]
    type = PointValue
    point = '0 0 0'
    variable = strainp_xy
  [../]
  [./strainp_xz]
    type = PointValue
    point = '0 0 0'
    variable = strainp_xz
  [../]
  [./strainp_yy]
    type = PointValue
    point = '0 0 0'
    variable = strainp_yy
  [../]
  [./strainp_yz]
    type = PointValue
    point = '0 0 0'
    variable = strainp_yz
  [../]
  [./strainp_zz]
    type = PointValue
    point = '0 0 0'
    variable = strainp_zz
  [../]
  [./straint_xx]
    type = PointValue
    point = '0 0 0'
    variable = straint_xx
  [../]
  [./straint_xy]
    type = PointValue
    point = '0 0 0'
    variable = straint_xy
  [../]
  [./straint_xz]
    type = PointValue
    point = '0 0 0'
    variable = straint_xz
  [../]
  [./straint_yy]
    type = PointValue
    point = '0 0 0'
    variable = straint_yy
  [../]
  [./straint_yz]
    type = PointValue
    point = '0 0 0'
    variable = straint_yz
  [../]
  [./straint_zz]
    type = PointValue
    point = '0 0 0'
    variable = straint_zz
  [../]
  [./f_shear]
    type = PointValue
    point = '0 0 0'
    variable = f_shear
  [../]
  [./f_tensile]
    type = PointValue
    point = '0 0 0'
    variable = f_tensile
  [../]
  [./f_compressive]
    type = PointValue
    point = '0 0 0'
    variable = f_compressive
  [../]
  [./intnl_shear]
    type = PointValue
    point = '0 0 0'
    variable = intnl_shear
  [../]
  [./intnl_tensile]
    type = PointValue
    point = '0 0 0'
    variable = intnl_tensile
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
  [./ls]
    type = PointValue
    point = '0 0 0'
    variable = ls
  [../]
[]
[UserObjects]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 30
  [../]
  [./tanphi]
    type = TensorMechanicsHardeningConstant
    value = 0.5
  [../]
  [./tanpsi]
    type = TensorMechanicsHardeningConstant
    value = 0.1111077
  [../]
  [./t_strength]
    type = TensorMechanicsHardeningConstant
    value = 1
  [../]
  [./c_strength]
    type = TensorMechanicsHardeningConstant
    value = 40
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '0 1'
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    inelastic_models = stress
    perform_finite_strain_rotations = false
  [../]
  [./stress]
    type = CappedWeakInclinedPlaneStressUpdate
    normal_vector = '0 0 0'
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    tensile_strength = t_strength
    compressive_strength = c_strength
    tip_smoother = 0
    smoothing_tol = 0
    yield_function_tol = 1E-5
  [../]
[]
[Executioner]
  end_time = 2
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = except6
  csv = true
[]
(modules/tensor_mechanics/test/tests/jacobian/cwp05.i)
# Capped weak-plane plasticity
# checking jacobian for shear failure
[Mesh]
  type = GeneratedMesh
  dim = 3
[]
[GlobalParams]
  block = 0
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[UserObjects]
  [./coh]
    type = TensorMechanicsHardeningExponential
    value_0 = 1
    value_residual = 1
    rate = 1
  [../]
  [./tanphi]
    type = TensorMechanicsHardeningExponential
    value_0 = 1.0
    value_residual = 1.0
    rate = 2
  [../]
  [./tanpsi]
    type = TensorMechanicsHardeningExponential
    value_0 = 0.1
    value_residual = 0.1
    rate = 1
  [../]
  [./t_strength]
    type = TensorMechanicsHardeningExponential
    value_0 = 100
    value_residual = 100
    rate = 1
  [../]
  [./c_strength]
    type = TensorMechanicsHardeningConstant
    value = 100
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    lambda = 1.0
    shear_modulus = 2.0
  [../]
  [./strain]
    type = ComputeIncrementalSmallStrain
    displacements = 'disp_x disp_y disp_z'
    eigenstrain_names = ini_stress
  [../]
  [./ini_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = '0 0 1  0 0 10  1 10 0'
    eigenstrain_name = ini_stress
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    inelastic_models = mc
    tangent_operator = nonlinear
  [../]
  [./mc]
    type = CappedWeakPlaneStressUpdate
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    tensile_strength = t_strength
    compressive_strength = c_strength
    max_NR_iterations = 20
    tip_smoother = 0
    smoothing_tol = 2
    yield_function_tol = 1E-10
  [../]
[]
[Preconditioning]
  [./andy]
    type = SMP
    full = true
    #petsc_options = '-snes_test_display'
    petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it -snes_type'
    petsc_options_value = 'bcgs bjacobi 1E-15 1E-10 10000 test'
  [../]
[]
[Executioner]
  type = Transient
  solve_type = Newton
[]
(modules/tensor_mechanics/test/tests/notched_plastic_block/biaxial_smooth.i)
# Uses a multi-smooted version of Mohr-Coulomb (via CappedMohrCoulombStressUpdate and ComputeMultipleInelasticStress) to simulate the following problem.
# A cubical block is notched around its equator.
# All of its outer surfaces have roller BCs, but the notched region is free to move as needed
# The block is initialised with a high hydrostatic tensile stress
# Without the notch, the BCs do not allow contraction of the block, and this stress configuration is admissible
# With the notch, however, the interior parts of the block are free to move in order to relieve stress, and this causes plastic failure
# The top surface is then pulled upwards (the bottom is fixed because of the roller BCs)
# This causes more failure
[Mesh]
  [generated_mesh]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 9
    ny = 9
    nz = 9
    xmin = 0
    xmax = 0.1
    ymin = 0
    ymax = 0.1
    zmin = 0
    zmax = 0.1
  []
  [block_to_remove_xmin]
    type = SubdomainBoundingBoxGenerator
    bottom_left = '-0.01 -0.01 0.045'
    top_right = '0.01 0.11 0.055'
    location = INSIDE
    block_id = 1
    input = generated_mesh
  []
  [block_to_remove_xmax]
    type = SubdomainBoundingBoxGenerator
    bottom_left = '0.09 -0.01 0.045'
    top_right = '0.11 0.11 0.055'
    location = INSIDE
    block_id = 1
    input = block_to_remove_xmin
  []
  [block_to_remove_ymin]
    type = SubdomainBoundingBoxGenerator
    bottom_left = '-0.01 -0.01 0.045'
    top_right = '0.11 0.01 0.055'
    location = INSIDE
    block_id = 1
    input = block_to_remove_xmax
  []
  [block_to_remove_ymax]
    type = SubdomainBoundingBoxGenerator
    bottom_left = '-0.01 0.09 0.045'
    top_right = '0.11 0.11 0.055'
    location = INSIDE
    block_id = 1
    input = block_to_remove_ymin
  []
  [remove_block]
    type = BlockDeletionGenerator
    block = 1
    input = block_to_remove_ymax
  []
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'max_principal_stress mid_principal_stress min_principal_stress stress_zz'
    eigenstrain_names = ini_stress
  [../]
[]
[Postprocessors]
  [./uz]
    type = PointValue
    point = '0 0 0.1'
    use_displaced_mesh = false
    variable = disp_z
  [../]
  [./s_zz]
    type = ElementAverageValue
    use_displaced_mesh = false
    variable = stress_zz
  [../]
  [./num_res]
    type = NumResidualEvaluations
  [../]
  [./nr_its] # num_iters is the average number of NR iterations encountered per element in this timestep
    type = ElementAverageValue
    variable = num_iters
  [../]
  [./max_nr_its] # max_num_iters is the maximum number of NR iterations encountered in the element during the whole simulation
    type = ElementExtremeValue
    variable = max_num_iters
  [../]
  [./runtime]
    type = PerfGraphData
    data_type = TOTAL
    section_name = 'Root'
  [../]
[]
[BCs]
  # back=zmin, front=zmax, bottom=ymin, top=ymax, left=xmin, right=xmax
  [./xmin_xzero]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0.0
  [../]
  [./xmax_xzero]
    type = DirichletBC
    variable = disp_x
    boundary = right
    value = 0.0
  [../]
  [./ymin_yzero]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0.0
  [../]
  [./ymax_yzero]
    type = DirichletBC
    variable = disp_y
    boundary = top
    value = 0.0
  [../]
  [./zmin_zzero]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = '0'
  [../]
  [./zmax_disp]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = '1E-6*max(t,0)'
  [../]
[]
[AuxVariables]
  [./mc_int]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./num_iters]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./max_num_iters]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./mc_int_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_internal_parameter
    variable = mc_int
  [../]
  [./num_iters_auxk]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = num_iters
  [../]
  [./max_num_iters_auxk]
    type = MaterialRealAux
    property = max_plastic_NR_iterations
    variable = max_num_iters
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 6
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 1E16
  [../]
  [./mc_coh]
    type = TensorMechanicsHardeningConstant
    value = 5E6
  [../]
  [./mc_phi]
    type = TensorMechanicsHardeningConstant
    value = 35
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = TensorMechanicsHardeningConstant
    value = 10
    convert_to_radians = true
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 16E9
    poissons_ratio = 0.25
  [../]
  [./mc]
    type = CappedMohrCoulombStressUpdate
    tensile_strength = ts
    compressive_strength = ts
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    smoothing_tol = 0.2E6
    yield_function_tol = 1E-5
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = mc
    perform_finite_strain_rotations = false
  [../]
  [./strain_from_initial_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = '6E6 0 0  0 6E6 0  0 0 6E6'
    eigenstrain_name = ini_stress
  [../]
[]
[Preconditioning]
  [./andy]
    type = SMP
    full = true
  [../]
[]
[Executioner]
  start_time = -1
  end_time = 10
  dt = 1
  solve_type = NEWTON
  type = Transient
  l_tol = 1E-2
  nl_abs_tol = 1E-5
  nl_rel_tol = 1E-7
  l_max_its = 200
  nl_max_its = 400
  petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -ksp_type -ksp_gmres_restart'
  petsc_options_value = ' asm      2              lu            gmres     200'
[]
[Outputs]
  file_base = biaxial_smooth
  perf_graph = true
  exodus = false
  csv = true
[]
(modules/tensor_mechanics/test/tests/jacobian/mc_update2.i)
# MC update version, with only Tensile with tensile strength = 1MPa and smoothing_tol = 0.1E5
# Lame lambda = 1GPa.  Lame mu = 1.3GPa
# Units in this file are MPa (not Pa)
#
# Return to the stress_I = stress_II ~1 edge
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 1
  [../]
  [./cs]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./ang]
    type = TensorMechanicsHardeningConstant
    value = 30
    convert_to_radians = true
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    lambda = 1.0E3
    shear_modulus = 1.3E3
  [../]
  [./strain]
    type = ComputeIncrementalSmallStrain
    displacements = 'disp_x disp_y disp_z'
    eigenstrain_names = ini_stress
  [../]
  [./ini_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = '2 0 0  0 0 0  0 0 2.01'
    eigenstrain_name = ini_stress
  [../]
  [./cmc]
    type = CappedMohrCoulombStressUpdate
    tensile_strength = ts
    compressive_strength = cs
    cohesion = coh
    friction_angle = ang
    dilation_angle = ang
    smoothing_tol = 0.1
    yield_function_tol = 1.0E-12
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = cmc
    perform_finite_strain_rotations = false
  [../]
[]
[Preconditioning]
  [./andy]
    type = SMP
    full = true
    petsc_options_iname = '-snes_type'
    petsc_options_value = 'test'
  [../]
[]
[Executioner]
  type = Transient
  solve_type = Newton
[]
(modules/tensor_mechanics/test/tests/jacobian/mc_update23.i)
# MC update version, with only MohrCoulomb, cohesion=40, friction angle = 35deg, psi = 5deg, smoothing_tol = 0.5
# Tensile strength = 1MPa
# Lame lambda = 1E3.  Lame mu = 1.3E3
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 1
  [../]
  [./cs]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 4E1
  [../]
  [./phi]
    type = TensorMechanicsHardeningConstant
    value = 35
    convert_to_radians = true
  [../]
  [./psi]
    type = TensorMechanicsHardeningConstant
    value = 5
    convert_to_radians = true
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    lambda = 0.5
    shear_modulus = 1.0
  [../]
  [./strain]
    type = ComputeIncrementalSmallStrain
    displacements = 'disp_x disp_y disp_z'
    eigenstrain_names = ini_stress
  [../]
  [./ini_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = '10 12 -14  12 5 20  -14 20 8'
    eigenstrain_name = ini_stress
  [../]
  [./cmc]
    type = CappedMohrCoulombStressUpdate
    tensile_strength = ts
    compressive_strength = cs
    cohesion = coh
    friction_angle = phi
    dilation_angle = psi
    smoothing_tol = 0.5
    yield_function_tol = 1.0E-12
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = cmc
    perform_finite_strain_rotations = false
  [../]
[]
[Preconditioning]
  [./andy]
    type = SMP
    full = true
    petsc_options_iname = '-snes_type'
    petsc_options_value = 'test'
  [../]
[]
[Executioner]
  type = Transient
  solve_type = Newton
[]
(modules/tensor_mechanics/test/tests/jacobian/cdpc01.i)
#Cosserat capped weak plane and capped drucker prager
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  Cosserat_rotations = 'wc_x wc_y wc_z'
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
  [./wc_x]
  [../]
  [./wc_y]
  [../]
[]
[Kernels]
  [./cx_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_x
    component = 0
  [../]
  [./cy_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_y
    component = 1
  [../]
  [./cz_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_z
    component = 2
  [../]
  [./x_couple]
    type = StressDivergenceTensors
    variable = wc_x
    displacements = 'wc_x wc_y wc_z'
    component = 0
    base_name = couple
  [../]
  [./y_couple]
    type = StressDivergenceTensors
    variable = wc_y
    displacements = 'wc_x wc_y wc_z'
    component = 1
    base_name = couple
  [../]
  [./x_moment]
    type = MomentBalancing
    variable = wc_x
    component = 0
  [../]
  [./y_moment]
    type = MomentBalancing
    variable = wc_y
    component = 1
  [../]
[]
[AuxVariables]
  [./wc_z]
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 10
  [../]
  [./cs]
    type = TensorMechanicsHardeningConstant
    value = 10
  [../]
  [./mc_coh]
    type = TensorMechanicsHardeningConstant
    value = 10
  [../]
  [./phi]
    type = TensorMechanicsHardeningConstant
    value = 0.8
  [../]
  [./psi]
    type = TensorMechanicsHardeningConstant
    value = 0.4
  [../]
  [./dp]
    type = TensorMechanicsPlasticDruckerPragerHyperbolic
    mc_cohesion = mc_coh
    mc_friction_angle = phi
    mc_dilation_angle = psi
    yield_function_tolerance = 1E-11     # irrelevant here
    internal_constraint_tolerance = 1E-9 # irrelevant here
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeLayeredCosseratElasticityTensor
    young = 10.0
    poisson = 0.25
    layer_thickness = 10.0
    joint_normal_stiffness = 2.5
    joint_shear_stiffness = 2.0
  [../]
  [./strain]
    type = ComputeCosseratIncrementalSmallStrain
    eigenstrain_names = ini_stress
  [../]
  [./ini_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = '10 0 0  0 10 0  0 0 10'
    eigenstrain_name = ini_stress
  [../]
  [./admissible]
    type = ComputeMultipleInelasticCosseratStress
    inelastic_models = 'dp'
    relative_tolerance = 2.0
    absolute_tolerance = 1E6
    max_iterations = 1
  [../]
  [./dp]
    type = CappedDruckerPragerCosseratStressUpdate
    host_youngs_modulus = 10.0
    host_poissons_ratio = 0.25
    base_name = dp
    DP_model = dp
    tensile_strength = ts
    compressive_strength = cs
    yield_function_tol = 1E-11
    tip_smoother = 1
    smoothing_tol = 1
  [../]
[]
[Preconditioning]
  [./andy]
    type = SMP
    full = true
    petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it -snes_type'
    petsc_options_value = 'bcgs bjacobi 1E-15 1E-10 10000 test'
  [../]
[]
[Executioner]
  solve_type = 'NEWTON'
  end_time = 1
  dt = 1
  type = Transient
[]
(modules/tensor_mechanics/test/tests/capped_weak_plane/push_and_shear.i)
# Dynamic problem with plasticity.
# A column of material (not subject to gravity) has the z-displacement
# of its sides fixed, but the centre of its bottom side is pushed
# upwards.  This causes failure in the bottom elements.
#
# The problem utilises damping in the following way.
# The DynamicStressDivergenceTensors forms the residual
# integral  grad(stress) + zeta*grad(stress-dot)
#     = V/L * elasticity * (du/dx + zeta * dv/dx)
# where V is the elemental volume, and L is the length-scale,
# and u is the displacement, and v is the velocity.
# The InertialForce forms the residual
# integral  density * (accel + eta * velocity)
#     = V * density * (a + eta * v)
# where a is the acceleration.
# So, a damped oscillator description with both these
# kernels looks like
# 0 = V * (density * a + density * eta * v + elasticity * zeta * v / L^2 + elasticity / L^2 * u)
# Critical damping is when the coefficient of v is
# 2 * sqrt(density * elasticity / L^2)
# In the case at hand, density=1E4, elasticity~1E10 (Young is 16GPa),
# L~1 to 10 (in the horizontal or vertical direction), so this coefficient ~ 1E7 to 1E6.
# Choosing eta = 1E3 and zeta = 1E-2 gives approximate critical damping.
# If zeta is high then steady-state is achieved very quickly.
#
# In the case of plasticity, the effective stiffness of the elements
# is significantly less.  Therefore, the above parameters give
# overdamping.
#
# This simulation is a nice example of the irreversable and non-uniqueness
# of simulations involving plasticity.  The result depends on the damping
# parameters and the time stepping.
[Mesh]
  [generated_mesh]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 10
    ny = 1
    nz = 5
    bias_z = 1.5
    xmin = -10
    xmax = 10
    ymin = -10
    ymax = 10
    zmin = -100
    zmax = 0
  []
  [bottomz_middle]
    type = BoundingBoxNodeSetGenerator
    new_boundary = bottomz_middle
    bottom_left = '-1 -1500 -105'
    top_right = '1 1500 -95'
    input = generated_mesh
  []
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  beta = 0.25 # Newmark time integration
  gamma = 0.5 # Newmark time integration
  eta = 1E3 #0.3E4 # higher values mean more damping via density
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./DynamicTensorMechanics] # zeta*K*vel + K * disp
    displacements = 'disp_x disp_y disp_z'
    zeta = 1E-2 # higher values mean more damping via stiffness
    alpha = 0 # better nonlinear convergence than for alpha>0
  [../]
  [./inertia_x] # M*accel + eta*M*vel
    type = InertialForce
    use_displaced_mesh = false
    variable = disp_x
    velocity = vel_x
    acceleration = accel_x
  [../]
  [./inertia_y]
    type = InertialForce
    use_displaced_mesh = false
    variable = disp_y
    velocity = vel_y
    acceleration = accel_y
  [../]
  [./inertia_z]
    type = InertialForce
    use_displaced_mesh = false
    variable = disp_z
    velocity = vel_z
    acceleration = accel_z
  [../]
[]
[BCs]
  [./no_x2]
    type = DirichletBC
    variable = disp_x
    boundary = right
    value = 0.0
  [../]
  [./no_x1]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0.0
  [../]
  [./no_y1]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0.0
  [../]
  [./no_y2]
    type = DirichletBC
    variable = disp_y
    boundary = top
    value = 0.0
  [../]
  [./z_fixed_sides_xmin]
    type = DirichletBC
    variable = disp_z
    boundary = left
    value = 0
  [../]
  [./z_fixed_sides_xmax]
    type = DirichletBC
    variable = disp_z
    boundary = right
    value = 0
  [../]
  [./bottomz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = bottomz_middle
    function = min(10*t,1)
  [../]
[]
[AuxVariables]
  [./accel_x]
  [../]
  [./vel_x]
  [../]
  [./accel_y]
  [../]
  [./vel_y]
  [../]
  [./accel_z]
  [../]
  [./vel_z]
  [../]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_compressive]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./ls]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./accel_x] # Calculates and stores acceleration at the end of time step
    type = NewmarkAccelAux
    variable = accel_x
    displacement = disp_x
    velocity = vel_x
    execute_on = timestep_end
  [../]
  [./vel_x] # Calculates and stores velocity at the end of the time step
    type = NewmarkVelAux
    variable = vel_x
    acceleration = accel_x
    execute_on = timestep_end
  [../]
  [./accel_y]
    type = NewmarkAccelAux
    variable = accel_y
    displacement = disp_y
    velocity = vel_y
    execute_on = timestep_end
  [../]
  [./vel_y]
    type = NewmarkVelAux
    variable = vel_y
    acceleration = accel_y
    execute_on = timestep_end
  [../]
  [./accel_z]
    type = NewmarkAccelAux
    variable = accel_z
    displacement = disp_z
    velocity = vel_z
    execute_on = timestep_end
  [../]
  [./vel_z]
    type = NewmarkVelAux
    variable = vel_z
    acceleration = accel_z
    execute_on = timestep_end
  [../]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./strainp_xx]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_xx
    index_i = 0
    index_j = 0
  [../]
  [./strainp_xy]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_xy
    index_i = 0
    index_j = 1
  [../]
  [./strainp_xz]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_xz
    index_i = 0
    index_j = 2
  [../]
  [./strainp_yy]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_yy
    index_i = 1
    index_j = 1
  [../]
  [./strainp_yz]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_yz
    index_i = 1
    index_j = 2
  [../]
  [./strainp_zz]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_zz
    index_i = 2
    index_j = 2
  [../]
  [./straint_xx]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_xx
    index_i = 0
    index_j = 0
  [../]
  [./straint_xy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_xy
    index_i = 0
    index_j = 1
  [../]
  [./straint_xz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_xz
    index_i = 0
    index_j = 2
  [../]
  [./straint_yy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_yy
    index_i = 1
    index_j = 1
  [../]
  [./straint_yz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_yz
    index_i = 1
    index_j = 2
  [../]
  [./straint_zz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_zz
    index_i = 2
    index_j = 2
  [../]
  [./f_shear]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f_shear
  [../]
  [./f_tensile]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f_tensile
  [../]
  [./f_compressive]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f_compressive
  [../]
  [./intnl_shear]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = intnl_shear
  [../]
  [./intnl_tensile]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 1
    variable = intnl_tensile
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./ls]
    type = MaterialRealAux
    property = plastic_linesearch_needed
    variable = ls
  [../]
[]
[UserObjects]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./tanphi]
    type = TensorMechanicsHardeningConstant
    value = 0.5
  [../]
  [./tanpsi]
    type = TensorMechanicsHardeningConstant
    value = 0.166666666667
  [../]
  [./t_strength]
    type = TensorMechanicsHardeningConstant
    value = 1E80
  [../]
  [./c_strength]
    type = TensorMechanicsHardeningConstant
    value = 0
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '6.4E9 6.4E9'  # young 16MPa, Poisson 0.25
  [../]
  [./strain]
    type = ComputeIncrementalSmallStrain
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    inelastic_models = stress
    perform_finite_strain_rotations = false
  [../]
  [./stress]
    type = CappedWeakPlaneStressUpdate
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    tensile_strength = t_strength
    compressive_strength = c_strength
    tip_smoother = 0.5E6
    smoothing_tol = 0.5E6
    yield_function_tol = 1E-2
  [../]
  [./density]
    type = GenericConstantMaterial
    block = 0
    prop_names = density
    prop_values = 1E4
  [../]
[]
[Preconditioning]
  [./andy]
    type = SMP
    full = true
    petsc_options = '-snes_converged_reason -snes_linesearch_monitor'
    petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -ksp_type -ksp_gmres_restart'
    petsc_options_value = ' asm      2              lu            gmres     200'
  [../]
[]
[Executioner]
  solve_type = 'NEWTON'
  petsc_options = '-snes_converged_reason'
  line_search = bt
  nl_abs_tol = 1E1
  nl_rel_tol = 1e-5
  l_tol = 1E-10
  l_max_its = 100
  nl_max_its = 100
  end_time = 0.5
  dt = 0.1
  type = Transient
[]
[Outputs]
  file_base = push_and_shear
  exodus = true
  csv = true
[]
(modules/tensor_mechanics/test/tests/mohr_coulomb/small_deform_hard1.i)
# apply uniform stretches in x, y and z directions.
# let mc_cohesion = 10, mc_cohesion_residual = 2, mc_cohesion_rate =
# With cohesion = C, friction_angle = 60deg, tip_smoother = 4, the
# algorithm should return to
# sigma_m = (C*Cos(60) - 4)/Sin(60)
# This allows checking of the relationship for C
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '1E-6*x*t'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '1E-6*y*t'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z*t'
  [../]
[]
[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mc_int]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./mc_int_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_internal_parameter
    variable = mc_int
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./internal]
    type = PointValue
    point = '0 0 0'
    variable = mc_int
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]
[UserObjects]
  [./mc_coh]
    type = TensorMechanicsHardeningExponential
    value_0 = 10
    value_residual = 2
    rate = 1E4
  [../]
  [./mc_phi]
    type = TensorMechanicsHardeningConstant
    value = 60
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = TensorMechanicsHardeningConstant
    value = 5
    convert_to_radians = true
  [../]
  [./mc]
    type = TensorMechanicsPlasticMohrCoulomb
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    mc_tip_smoother = 4
    mc_edge_smoother = 25
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-9
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = mc
    debug_fspb = crash
    debug_jac_at_stress = '10 1 2 1 10 3 2 3 10'
    debug_jac_at_pm = 1
    debug_jac_at_intnl = 1E-4
    debug_stress_change = 1E-5
    debug_pm_change = 1E-6
    debug_intnl_change = 1E-8
  [../]
[]
[Executioner]
  end_time = 10
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform_hard1
  exodus = false
  [./csv]
    type = CSV
    [../]
[]
(modules/tensor_mechanics/test/tests/tensile/small_deform2_update_version.i)
# Using TensileStressUpdate
# checking for small deformation
# A single element is stretched equally in all directions.
# This causes the return direction to be along the sigma_I = sigma_II = sigma_III line
# tensile_strength is set to 1Pa, and smoothing_tol = 0.1Pa
# The smoothed yield function comes from two smoothing operations.
# The first is on sigma_I and sigma_II (sigma_I >= sigma_II >= sigma_III):
# yf = sigma_I + ismoother(0) - tensile_strength
#    = sigma_I + (0.5 * smoothing_tol - smoothing_tol / Pi) - tensile_strength
#    = sigma_I + 0.018169 - 1
# The second has the argument of ismoother equal to -0.018169.
# ismoother(-0.018169) = 0.5 * (-0.018169 + 0.1) - 0.1 * cos (0.5 * Pi * -0.018169 / 0.1) / Pi
#                     = 0.010372
# So the final yield function is
# yf = sigma_I + 0.018169 + 0.010372 - 1 = sigma_I + 0.028541 - 1
# However, because of the asymmetry in smoothing (the yield function is obtained
# by first smoothing sigma_I-ts and sigma_II-ts, and then by smoothing this
# result with sigma_III-ts) the result is sigma_I = sigma_II > sigma_III
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    incremental = true
    strain = finite
    generate_output = 'max_principal_stress mid_principal_stress min_principal_stress stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '1E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '1E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z'
  [../]
[]
[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = yield_fcn
  [../]
[]
[Postprocessors]
  [./s_I]
    type = PointValue
    point = '0 0 0'
    variable = max_principal_stress
  [../]
  [./s_II]
    type = PointValue
    point = '0 0 0'
    variable = mid_principal_stress
  [../]
  [./s_III]
    type = PointValue
    point = '0 0 0'
    variable = min_principal_stress
  [../]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 1
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 2.0E6'
  [../]
  [./tensile]
    type = TensileStressUpdate
    tensile_strength = ts
    smoothing_tol = 0.1
    yield_function_tol = 1.0E-12
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = tensile
    perform_finite_strain_rotations = false
  [../]
[]
[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform2_update_version
  exodus = false
  [./csv]
    type = CSV
  [../]
[]
(modules/tensor_mechanics/test/tests/jacobian/mc_update7.i)
# MC update version, with only Tensile with tensile strength = 1MPa and smoothing_tol = 0.1E5
# Lame lambda = 1GPa.  Lame mu = 1.3GPa
# Units in this file are MPa (not Pa)
#
# Start from non-diagonal stress state with softening.
# Returns to close to the edge of tensile yield
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningCubic
    value_0 = 1
    value_residual = 0.5
    internal_limit = 2E-2
  [../]
  [./cs]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./ang]
    type = TensorMechanicsHardeningConstant
    value = 30
    convert_to_radians = true
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    lambda = 1.0E3
    shear_modulus = 1.3E3
  [../]
  [./strain]
    type = ComputeIncrementalSmallStrain
    displacements = 'disp_x disp_y disp_z'
    eigenstrain_names = ini_stress
  [../]
  [./ini_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = '-1 0.1 0.2  0.1 15 -0.3  0.2 -0.3 14'
    eigenstrain_name = ini_stress
  [../]
  [./cmc]
    type = CappedMohrCoulombStressUpdate
    tensile_strength = ts
    compressive_strength = cs
    cohesion = coh
    friction_angle = ang
    dilation_angle = ang
    smoothing_tol = 0.1
    yield_function_tol = 1.0E-12
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = cmc
    perform_finite_strain_rotations = false
  [../]
[]
[Preconditioning]
  [./andy]
    type = SMP
    full = true
    petsc_options_iname = '-snes_type'
    petsc_options_value = 'test'
  [../]
[]
[Executioner]
  type = Transient
  solve_type = Newton
[]
(modules/tensor_mechanics/test/tests/capped_mohr_coulomb/small_deform8.i)
# Using CappedMohrCoulomb with tensile failure only
# A single unit element is stretched by 1E-6m in z direction.
# with Lame lambda = 0.6E6 and Lame mu (shear) = 1E6
# stress_zz = 2.6 Pa
# stress_xx = 0.6 Pa
# stress_yy = 0.6 Pa
# tensile_strength is set to 0.5Pa
#
# stress_zz = 0.5
# plastic multiplier = 2.1/2.6 E-6
# stress_xx = 0.6 - (2.1/2.6*0.6) = 0.115
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'max_principal_stress mid_principal_stress min_principal_stress stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1.0E-6*z'
  [../]
[]
[AuxVariables]
  [./f0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./f0_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f0
  [../]
  [./f1_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f1
  [../]
  [./f2_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f2
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./intnl_auxk]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = intnl
  [../]
[]
[Postprocessors]
  [./s_I]
    type = PointValue
    point = '0 0 0'
    variable = max_principal_stress
  [../]
  [./s_II]
    type = PointValue
    point = '0 0 0'
    variable = mid_principal_stress
  [../]
  [./s_III]
    type = PointValue
    point = '0 0 0'
    variable = min_principal_stress
  [../]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = f0
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = f1
  [../]
  [./f2]
    type = PointValue
    point = '0 0 0'
    variable = f2
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
  [./intnl]
    type = PointValue
    point = '0 0 0'
    variable = intnl
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 0.5
  [../]
  [./cs]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./ang]
    type = TensorMechanicsHardeningConstant
    value = 0.5
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '0.6E6 1E6'
  [../]
  [./tensile]
    type = CappedMohrCoulombStressUpdate
    tensile_strength = ts
    compressive_strength = cs
    cohesion = coh
    friction_angle = ang
    dilation_angle = ang
    smoothing_tol = 0.0
    yield_function_tol = 1.0E-12
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = tensile
    perform_finite_strain_rotations = false
  [../]
[]
[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform8
  csv = true
[]
(modules/combined/test/tests/j2_plasticity_vs_LSH/j2_hard1_mod_optimised.i)
# Test designed to compare results and active time between SH/LinearStrainHardening
# material vs TM j2 plastic user object. As number of elements increases, TM
# active time increases at a much higher rate than SM. Testing at 4x4x4
# (64 elements).
#
# plot vm_stress vs intnl to see constant hardening
#
# Original test located at:
# tensor_mechanics/tests/j2_plasticity/hard1.i
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 4
  ny = 4
  nz = 4
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
  displacements = 'disp_x disp_y disp_z'
[]
[Variables]
  [./disp_x]
    order = FIRST
    family = LAGRANGE
  [../]
  [./disp_y]
    order = FIRST
    family = LAGRANGE
  [../]
  [./disp_z]
    order = FIRST
    family = LAGRANGE
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[AuxVariables]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./vm_stress]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./eq_pl_strain]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./intnl]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_internal_parameter
    variable = intnl
  [../]
  [./eq_pl_strain]
    type = RankTwoScalarAux
    rank_two_tensor = plastic_strain
    scalar_type = EffectiveStrain
    variable = eq_pl_strain
  [../]
  [./vm_stress]
    type = RankTwoScalarAux
    rank_two_tensor = stress
    scalar_type = VonMisesStress
    variable = vm_stress
  [../]
[]
[BCs]
  [./left]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0.0
  [../]
  [./bottom]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0.0
  [../]
  [./back]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0.0
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = 't/60'
  [../]
[]
[UserObjects]
  [./str]
    type = TensorMechanicsHardeningConstant
    value = 2.4e2
  [../]
  [./j2]
    type = TensorMechanicsPlasticJ2
    yield_strength = str
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-9
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    #with E = 2.1e5 and nu = 0.3
    #Hooke's law: E-nu to Lambda-G
    C_ijkl = '121154 80769.2'
  [../]
  [./strain]
    type = ComputeIncrementalSmallStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = j2
    perform_finite_strain_rotations = false
  [../]
[]
[Preconditioning]
  [./andy]
    type = SMP
    full = true
  [../]
[]
[Executioner]
  type = Transient
  #Preconditioned JFNK (default)
  solve_type = NEWTON
  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-ksp_gmres_restart'
  petsc_options_value = '101'
  #line_search = 'none'
  l_max_its = 100
  nl_max_its = 100
  nl_rel_tol = 1e-6
  nl_abs_tol = 1e-10
  l_tol = 1e-4
  start_time = 0.0
  end_time = 0.5
  dt = 0.5
[]
[Postprocessors]
  [./stress_zz]
    type = ElementAverageValue
    variable = stress_zz
  [../]
  [./intnl]
    type = ElementAverageValue
    variable = intnl
  [../]
  [./eq_pl_strain]
    type = PointValue
    point = '0 0 0'
    variable = eq_pl_strain
  [../]
  [./vm_stress]
    type = PointValue
    point = '0 0 0'
    variable = vm_stress
  [../]
[]
[Outputs]
  csv = true
  print_linear_residuals = false
  perf_graph = true
[]
(modules/tensor_mechanics/test/tests/capped_weak_plane/except1.i)
# Exception: incorrect userobject types
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    incremental = true
  [../]
[]
[UserObjects]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 1
  [../]
  [./tanphi]
    type = TensorMechanicsHardeningConstant
    value = -0.5
  [../]
  [./tanpsi]
    type = TensorMechanicsHardeningConstant
    value = 0.1111077
  [../]
  [./t_strength]
    type = TensorMechanicsHardeningConstant
    value = 1
  [../]
  [./c_strength]
    type = TensorMechanicsHardeningConstant
    value = 2
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E6'
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    inelastic_models = stress
    perform_finite_strain_rotations = false
  [../]
  [./stress]
    type = CappedWeakPlaneStressUpdate
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    tensile_strength = t_strength
    compressive_strength = c_strength
    tip_smoother = 0
    smoothing_tol = 1
    yield_function_tol = 1E-5
  [../]
[]
[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]
(modules/tensor_mechanics/test/tests/capped_mohr_coulomb/small_deform22.i)
# Mohr-Coulomb only
# apply stretches in x direction and smaller stretches in the y direction
# to observe return to the MC plane
# This tests uses hardening of the cohesion.  The returned configuration
# should obey
# 0 = 0.5 * (Smax - Smin) + 0.5 * (Smax + Smin) * sin(phi) - C cos(phi)
# which allows inference of C.
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'max_principal_stress mid_principal_stress min_principal_stress stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0.4E-6*x*t'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0.1E-6*y*t'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '0'
  [../]
[]
[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 6
    property = plastic_yield_function
    variable = yield_fcn
  [../]
  [./iter_auxk]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./intnl_auxk]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = intnl
  [../]
[]
[Postprocessors]
  [./s_max]
    type = PointValue
    point = '0 0 0'
    variable = max_principal_stress
  [../]
  [./s_mid]
    type = PointValue
    point = '0 0 0'
    variable = mid_principal_stress
  [../]
  [./s_min]
    type = PointValue
    point = '0 0 0'
    variable = min_principal_stress
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
  [./intnl]
    type = PointValue
    point = '0 0 0'
    variable = intnl
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./mc_coh]
    type = TensorMechanicsHardeningCubic
    value_0 = 10
    value_residual = 20
    internal_limit = 5E-6
  [../]
  [./mc_phi]
    type = TensorMechanicsHardeningConstant
    value = 30
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = TensorMechanicsHardeningConstant
    value = 30
    convert_to_radians = true
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1E7
    poissons_ratio = 0.3
  [../]
  [./mc]
    type = CappedMohrCoulombStressUpdate
    tensile_strength = ts
    compressive_strength = ts
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    smoothing_tol = 0
    yield_function_tol = 1.0E-9
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = mc
    perform_finite_strain_rotations = false
  [../]
[]
[Executioner]
  end_time = 10
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform_hard21
  csv = true
[]
(modules/tensor_mechanics/test/tests/capped_mohr_coulomb/small_deform1_cosserat.i)
# Using Cosserat with large layer thickness, so this should reduce to standard
# Using CappedMohrCoulombCosserat with tensile failure only
# checking for small deformation
# A single element is stretched by 1E-6m in z direction, and by small amounts in x and y directions
# stress_zz = Youngs Modulus*Strain = 2E6*1E-6 = 2 Pa
# tensile_strength is set to 1Pa
# Then the final stress should return to the yeild surface and the minimum principal stress value should be 1pa.
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  perform_finite_strain_rotations = false
  displacements = 'disp_x disp_y disp_z'
  Cosserat_rotations = 'wc_x wc_y wc_z'
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
  [./wc_x]
  [../]
  [./wc_y]
  [../]
[]
[Kernels]
  [./cx_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_x
    component = 0
  [../]
  [./cy_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_y
    component = 1
  [../]
  [./cz_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_z
    component = 2
  [../]
  [./x_couple]
    type = StressDivergenceTensors
    variable = wc_x
    displacements = 'wc_x wc_y wc_z'
    component = 0
    base_name = couple
  [../]
  [./y_couple]
    type = StressDivergenceTensors
    variable = wc_y
    displacements = 'wc_x wc_y wc_z'
    component = 1
    base_name = couple
  [../]
  [./x_moment]
    type = MomentBalancing
    variable = wc_x
    component = 0
  [../]
  [./y_moment]
    type = MomentBalancing
    variable = wc_y
    component = 1
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0.1E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0.2E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z'
  [../]
[]
[AuxVariables]
  [./wc_z]
  [../]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = yield_fcn
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 1
  [../]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./ang]
    type = TensorMechanicsHardeningConstant
    value = 0.5
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeLayeredCosseratElasticityTensor
    young = 4.0E6
    poisson = 0.0
    layer_thickness = 1.0
    joint_normal_stiffness = 1.0E16
    joint_shear_stiffness = 1.0E16
  [../]
  [./strain]
    type = ComputeCosseratIncrementalSmallStrain
  [../]
  [./tensile]
    type = CappedMohrCoulombCosseratStressUpdate
    tensile_strength = ts
    compressive_strength = ts
    cohesion = coh
    friction_angle = ang
    dilation_angle = ang
    smoothing_tol = 0.0
    yield_function_tol = 1.0E-9
    host_youngs_modulus = 4.0E6
    host_poissons_ratio = 0.0
  [../]
  [./stress]
    type = ComputeMultipleInelasticCosseratStress
    inelastic_models = tensile
    perform_finite_strain_rotations = false
  [../]
[]
[Executioner]
  end_time = 1
  dt = 1
  nl_abs_tol = 1E-10
  type = Transient
[]
[Outputs]
  file_base = small_deform1_cosserat
  csv = true
[]
(modules/tensor_mechanics/test/tests/mohr_coulomb/uni_axial3_planar.i)
# same as uni_axial2 but with planar mohr-coulomb
[Mesh]
  type = FileMesh
  file = quarter_hole.e
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[BCs]
  [./zmin_zzero]
    type = DirichletBC
    variable = disp_z
    boundary = 'zmin'
    value = '0'
  [../]
  [./xmin_xzero]
    type = DirichletBC
    variable = disp_x
    boundary = 'xmin'
    value = '0'
  [../]
  [./ymin_yzero]
    type = DirichletBC
    variable = disp_y
    boundary = 'ymin'
    value = '0'
  [../]
  [./ymax_disp]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'ymax'
    function = '-1E-4*t'
  [../]
[]
[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mc_int]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./mc_int_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_internal_parameter
    variable = mc_int
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0.005 0.02 0.002'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0.005 0.02 0.002'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0.005 0.02 0.002'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0.005 0.02 0.002'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0.005 0.02 0.002'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0.005 0.02 0.002'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0.005 0.02 0.002'
    variable = yield_fcn
  [../]
[]
[UserObjects]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 1E7
  [../]
  [./fric]
    type = TensorMechanicsHardeningConstant
    value = 40
    convert_to_radians = true
  [../]
  [./dil]
    type = TensorMechanicsHardeningConstant
    value = 40
    convert_to_radians = true
  [../]
  [./mc]
    type = TensorMechanicsPlasticMohrCoulombMulti
    cohesion = coh
    friction_angle = fric
    dilation_angle = dil
    yield_function_tolerance = 1.0 # THIS IS HIGHER THAN THE SMOOTH CASE TO AVOID PRECISION-LOSS PROBLEMS!
    shift =  1.0
    use_custom_returnMap = false
    internal_constraint_tolerance = 1E-9
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 1
    fill_method = symmetric_isotropic
    C_ijkl = '0 5E9' # young = 10Gpa, poisson = 0.0
  [../]
  [./strain]
    type = ComputeIncrementalSmallStrain
    block = 1
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 1
    ep_plastic_tolerance = 1E-9
    plastic_models = mc
    max_NR_iterations = 100
    deactivation_scheme = 'safe'
    min_stepsize = 1
    max_stepsize_for_dumb = 1
    debug_fspb = crash
  [../]
[]
# Preconditioning and Executioner options kindly provided by Andrea
[Preconditioning]
  [./andy]
    type = SMP
    full = true
  [../]
[]
[Executioner]
  end_time = 1.05
  dt = 0.1
  solve_type = NEWTON
  type = Transient
[]
[Outputs]
  file_base = uni_axial3_planar
  [./exodus]
    type = Exodus
    hide = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz yield_fcn s_xx s_xy s_xz s_yy s_yz s_zz f'
  [../]
  [./csv]
    type = CSV
    interval = 1
  [../]
[]
(modules/tensor_mechanics/test/tests/j2_plasticity/small_deform1.i)
# UserObject J2 test
# apply uniform stretch in x, y and z directions.
# no plasticity should be observed
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '1E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '1E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z'
  [../]
[]
[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./f]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = f
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = f
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
[]
[UserObjects]
  [./str]
    type = TensorMechanicsHardeningConstant
    value = 1
  [../]
  [./j2]
    type = TensorMechanicsPlasticJ2
    yield_strength = str
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-9
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E6'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = j2
    debug_fspb = crash
  [../]
[]
[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform1
  exodus = false
  [./csv]
    type = CSV
    [../]
[]
(modules/tensor_mechanics/test/tests/capped_mohr_coulomb/small_deform6.i)
# Using CappedMohrCoulomb with tensile failure only
# A single element is incrementally stretched in the in the z direction
# This causes the return direction to be along the hypersurface sigma_II = sigma_III,
# and the resulting stresses are checked to lie on the expected yield surface
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    strain = finite
    incremental = true
    generate_output = 'max_principal_stress mid_principal_stress min_principal_stress stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '4*x*t'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = 'y*(t-0.5)'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = 'z*(t-0.5)'
  [../]
[]
[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = yield_fcn
  [../]
[]
[Postprocessors]
  [./s_I]
    type = PointValue
    point = '0 0 0'
    variable = max_principal_stress
  [../]
  [./s_II]
    type = PointValue
    point = '0 0 0'
    variable = mid_principal_stress
  [../]
  [./s_III]
    type = PointValue
    point = '0 0 0'
    variable = min_principal_stress
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 1
  [../]
  [./cs]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./ang]
    type = TensorMechanicsHardeningConstant
    value = 0.5
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '0 2.0'
  [../]
  [./tensile]
    type = CappedMohrCoulombStressUpdate
    tensile_strength = ts
    compressive_strength = cs
    cohesion = coh
    friction_angle = ang
    dilation_angle = ang
    smoothing_tol = 0.5
    yield_function_tol = 1.0E-12
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = tensile
    perform_finite_strain_rotations = false
  [../]
[]
[Executioner]
  end_time = 1
  dt = 0.1
  type = Transient
[]
[Outputs]
  file_base = small_deform6
  csv = true
[]
(modules/tensor_mechanics/test/tests/jacobian/mc_update11.i)
# MC update version, with only Compressive with compressive strength = 1MPa and smoothing_tol = 0.1E5
# Lame lambda = 1GPa.  Lame mu = 1.3GPa
# Units in this file are MPa (not Pa)
#
# Return to the stress_min = 1 plane
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./cs]
    type = TensorMechanicsHardeningConstant
    value = 1
  [../]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./ang]
    type = TensorMechanicsHardeningConstant
    value = 30
    convert_to_radians = true
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    lambda = 1.0E3
    shear_modulus = 1.3E3
  [../]
  [./strain]
    type = ComputeIncrementalSmallStrain
    displacements = 'disp_x disp_y disp_z'
    eigenstrain_names = ini_stress
  [../]
  [./ini_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = '2 0 0  0 0 0  0 0 -2'
    eigenstrain_name = ini_stress
  [../]
  [./cmc]
    type = CappedMohrCoulombStressUpdate
    tensile_strength = ts
    compressive_strength = cs
    cohesion = coh
    friction_angle = ang
    dilation_angle = ang
    smoothing_tol = 0.1
    yield_function_tol = 1.0E-12
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = cmc
    perform_finite_strain_rotations = false
  [../]
[]
[Preconditioning]
  [./andy]
    type = SMP
    full = true
    petsc_options_iname = '-snes_type'
    petsc_options_value = 'test'
  [../]
[]
[Executioner]
  type = Transient
  solve_type = Newton
[]
(modules/tensor_mechanics/test/tests/jacobian/cwp10.i)
# Capped weak-plane plasticity
# checking jacobian for shear failure with hardening
[Mesh]
  type = GeneratedMesh
  dim = 3
[]
[GlobalParams]
  block = 0
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[UserObjects]
  [./coh]
    type = TensorMechanicsHardeningExponential
    value_0 = 1
    value_residual = 2
    rate = 1
  [../]
  [./tanphi]
    type = TensorMechanicsHardeningExponential
    value_0 = 1.0
    value_residual = 0.5
    rate = 2
  [../]
  [./tanpsi]
    type = TensorMechanicsHardeningExponential
    value_0 = 0.1
    value_residual = 0.05
    rate = 3
  [../]
  [./t_strength]
    type = TensorMechanicsHardeningExponential
    value_0 = 100
    value_residual = 100
    rate = 1
  [../]
  [./c_strength]
    type = TensorMechanicsHardeningConstant
    value = 100
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    lambda = 1.0
    shear_modulus = 2.0
  [../]
  [./strain]
    type = ComputeIncrementalSmallStrain
    displacements = 'disp_x disp_y disp_z'
    eigenstrain_names = ini_stress
  [../]
  [./ini_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = '0 0 2  0 0 -1  2 -1 0.1'
    eigenstrain_name = ini_stress
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    inelastic_models = mc
    tangent_operator = nonlinear
  [../]
  [./mc]
    type = CappedWeakPlaneStressUpdate
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    tensile_strength = t_strength
    compressive_strength = c_strength
    max_NR_iterations = 20
    tip_smoother = 0
    smoothing_tol = 2
    yield_function_tol = 1E-10
  [../]
[]
[Preconditioning]
  [./andy]
    type = SMP
    full = true
    petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it -snes_type'
    petsc_options_value = 'bcgs bjacobi 1E-15 1E-10 10000 test'
  [../]
[]
[Executioner]
  type = Transient
  solve_type = Newton
[]
(modules/tensor_mechanics/test/tests/capped_weak_plane/small_deform2.i)
# Plastic deformation, tensile failure
# With Lame lambda=0 and Lame mu=1, applying the following
# deformation to the zmax surface of a unit cube:
# disp_z = t
# should yield trial stress:
# stress_zz = 2*t
# Use tensile strength = 1, we should return to stress_zz = 1
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz plastic_strain_xx plastic_strain_xy plastic_strain_xz plastic_strain_yy plastic_strain_yz plastic_strain_zz strain_xx strain_xy strain_xz strain_yy strain_yz strain_zz'
  [../]
[]
[BCs]
  [./bottomx]
    type = DirichletBC
    variable = disp_x
    boundary = back
    value = 0.0
  [../]
  [./bottomy]
    type = DirichletBC
    variable = disp_y
    boundary = back
    value = 0.0
  [../]
  [./bottomz]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0.0
  [../]
  [./topx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = front
    function = 0
  [../]
  [./topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = front
    function = 0
  [../]
  [./topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = t
  [../]
[]
[AuxVariables]
  [./f_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_compressive]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./ls]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./f_shear]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f_shear
  [../]
  [./f_tensile]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f_tensile
  [../]
  [./f_compressive]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f_compressive
  [../]
  [./intnl_shear]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = intnl_shear
  [../]
  [./intnl_tensile]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 1
    variable = intnl_tensile
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./ls]
    type = MaterialRealAux
    property = plastic_linesearch_needed
    variable = ls
  [../]
[]
[Postprocessors]
  [./stress_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./stress_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./stress_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./stress_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./stress_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./stress_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./strainp_xx]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_xx
  [../]
  [./strainp_xy]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_xy
  [../]
  [./strainp_xz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_xz
  [../]
  [./strainp_yy]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_yy
  [../]
  [./strainp_yz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_yz
  [../]
  [./strainp_zz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_zz
  [../]
  [./straint_xx]
    type = PointValue
    point = '0 0 0'
    variable = strain_xx
  [../]
  [./straint_xy]
    type = PointValue
    point = '0 0 0'
    variable = strain_xy
  [../]
  [./straint_xz]
    type = PointValue
    point = '0 0 0'
    variable = strain_xz
  [../]
  [./straint_yy]
    type = PointValue
    point = '0 0 0'
    variable = strain_yy
  [../]
  [./straint_yz]
    type = PointValue
    point = '0 0 0'
    variable = strain_yz
  [../]
  [./straint_zz]
    type = PointValue
    point = '0 0 0'
    variable = strain_zz
  [../]
  [./f_shear]
    type = PointValue
    point = '0 0 0'
    variable = f_shear
  [../]
  [./f_tensile]
    type = PointValue
    point = '0 0 0'
    variable = f_tensile
  [../]
  [./f_compressive]
    type = PointValue
    point = '0 0 0'
    variable = f_compressive
  [../]
  [./intnl_shear]
    type = PointValue
    point = '0 0 0'
    variable = intnl_shear
  [../]
  [./intnl_tensile]
    type = PointValue
    point = '0 0 0'
    variable = intnl_tensile
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
  [./ls]
    type = PointValue
    point = '0 0 0'
    variable = ls
  [../]
[]
[UserObjects]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 30
  [../]
  [./tanphi]
    type = TensorMechanicsHardeningConstant
    value = 0.5
  [../]
  [./tanpsi]
    type = TensorMechanicsHardeningConstant
    value = 0.1111077
  [../]
  [./t_strength]
    type = TensorMechanicsHardeningConstant
    value = 1
  [../]
  [./c_strength]
    type = TensorMechanicsHardeningConstant
    value = 40
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '0 1'
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    inelastic_models = stress
    perform_finite_strain_rotations = false
  [../]
  [./stress]
    type = CappedWeakPlaneStressUpdate
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    tensile_strength = t_strength
    compressive_strength = c_strength
    tip_smoother = 0
    smoothing_tol = 0
    yield_function_tol = 1E-5
  [../]
[]
[Executioner]
  end_time = 2
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform2
  csv = true
[]
(modules/tensor_mechanics/test/tests/capped_drucker_prager/small_deform3_outer_tip.i)
# apply repeated stretches in x z directions, and smaller stretches along the y direction,
# so that sigma_I = sigma_II,
# which means that lode angle = 30deg.
# The allows yield surface in meridional plane to be mapped out
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '1E-6*x*t'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '-1.7E-6*y*t'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z*t'
  [../]
[]
[AuxVariables]
  [./mc_int]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./mc_int_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_internal_parameter
    variable = mc_int
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./internal]
    type = PointValue
    point = '0 0 0'
    variable = mc_int
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 1E5
  [../]
  [./cs]
    type = TensorMechanicsHardeningConstant
    value = 1E5
  [../]
  [./mc_coh]
    type = TensorMechanicsHardeningConstant
    value = 10
  [../]
  [./mc_phi]
    type = TensorMechanicsHardeningConstant
    value = 35
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = TensorMechanicsHardeningConstant
    value = 5
    convert_to_radians = true
  [../]
  [./dp]
    type = TensorMechanicsPlasticDruckerPrager
    mc_cohesion = mc_coh
    mc_friction_angle = mc_phi
    mc_dilation_angle = mc_psi
    mc_interpolation_scheme = outer_tip
    yield_function_tolerance = 1      # irrelevant here
    internal_constraint_tolerance = 1 # irrelevant here
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    inelastic_models = mc
    perform_finite_strain_rotations = false
  [../]
  [./mc]
    type = CappedDruckerPragerStressUpdate
    DP_model = dp
    tensile_strength = ts
    compressive_strength = cs
    yield_function_tol = 1E-8
    tip_smoother = 8
    smoothing_tol = 1E-7
  [../]
[]
[Executioner]
  end_time = 10
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform3_outer_tip
  exodus = false
  [./csv]
    type = CSV
  [../]
[]
(modules/tensor_mechanics/test/tests/mohr_coulomb/except4.i)
# checking for exception error messages on the edge smoothing
# here edge_smoother=5deg, which means the friction_angle must be <= 35.747
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '1E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '1E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z'
  [../]
[]
[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
[]
[UserObjects]
  [./mc_coh]
    type = TensorMechanicsHardeningConstant
    value = 10
  [../]
  [./mc_phi]
    type = TensorMechanicsHardeningExponential
    value_0 = 0.52359878 # 30deg
    value_residual = 0.62831853 # 36deg
    rate = 3000.0
  [../]
  [./mc_psi]
    type = TensorMechanicsHardeningConstant
    value = 5
    convert_to_radians = true
  [../]
  [./mc]
    type = TensorMechanicsPlasticMohrCoulomb
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    mc_tip_smoother = 1
    mc_edge_smoother = 5
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-9
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = mc
    debug_fspb = crash
    debug_jac_at_stress = '10 0 0 0 10 0 0 0 10'
    debug_jac_at_pm = 1
    debug_jac_at_intnl = 1
    debug_stress_change = 1E-5
    debug_pm_change = 1E-6
    debug_intnl_change = 1E-6
  [../]
[]
[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = except4
  exodus = false
  [./csv]
    type = CSV
    [../]
[]
(modules/tensor_mechanics/test/tests/weak_plane_shear/large_deform1.i)
# rotate the mesh by 90degrees
# then pull in the z direction - should be no plasticity
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[BCs]
  # rotate:
  # ynew = c*y + s*z.  znew = -s*y + c*z
  [./bottomx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = back
    function = '0'
  [../]
  [./bottomy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = back
    function = '0*y+1*z-y'
  [../]
  [./bottomz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = back
    function = '-1*y+0*z-z+if(t>0,0.5-y,0)' # note that this uses original nodal values of (x,y,z)
  [../]
  [./topx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = front
    function = '0'
  [../]
  [./topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = front
    function = '0*y+1*z-y'
  [../]
  [./topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = '-1*y+0*z-z+if(t>0,0.5-y,0)' # note that this uses original nodal values of (x,y,z)
  [../]
[]
[AuxVariables]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_zx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zx
    index_i = 2
    index_j = 0
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = yield_fcn
  [../]
[]
[Postprocessors]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]
[UserObjects]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 1
  [../]
  [./tanphi]
    type = TensorMechanicsHardeningConstant
    value = 0.5
  [../]
  [./tanpsi]
    type = TensorMechanicsHardeningConstant
    value = 0.1111077
  [../]
  [./wps]
    type = TensorMechanicsPlasticWeakPlaneShear
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    smoother = 0.5
    yield_function_tolerance = 1E-6
    internal_constraint_tolerance = 1E-6
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E6'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    plastic_models = wps
    transverse_direction = '0 0 1'
    ep_plastic_tolerance = 1E-5
    debug_fspb = crash
  [../]
[]
[Executioner]
  start_time = -1
  end_time = 1
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = large_deform1
  [./csv]
    type = CSV
    [../]
  [./exodus]
    type = Exodus
    [../]
[]
(modules/tensor_mechanics/test/tests/initial_stress/mc_tensile.i)
# In this example, an initial stress is applied that
# is inadmissible, and the return-map algorithm must be
# used to return to the yield surface before any other
# computations can be carried out.
# In this case, the return-map algorithm must subdivide
# the initial stress, otherwise it does not converge.
# This test is testing that subdivision process.
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[BCs]
  [./bottomx]
    type = DirichletBC
    variable = disp_x
    boundary = 'back'
    value = 0.0
  [../]
  [./bottomy]
    type = DirichletBC
    variable = disp_y
    boundary = 'back'
    value = 0.0
  [../]
  [./bottomz]
    type = DirichletBC
    variable = disp_z
    boundary = 'back'
    value = 0.0
  [../]
  [./topx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front'
    function = '2*t-1'
  [../]
  [./topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front'
    function = 't-1'
  [../]
  [./topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front'
    function = 't-1'
  [../]
[]
[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
    outputs = console
  [../]
[]
[UserObjects]
  [./mc_coh]
    type = TensorMechanicsHardeningConstant
    value = 1E5
  [../]
  [./mc_phi]
    type = TensorMechanicsHardeningConstant
    value = 60
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = TensorMechanicsHardeningConstant
    value = 5
    convert_to_radians = true
  [../]
  [./mc]
    type = TensorMechanicsPlasticMohrCoulomb
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    mc_tip_smoother = 4.0
    mc_edge_smoother = 25
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-9
  [../]
  [./str]
    type = TensorMechanicsHardeningConstant
    value = 1
  [../]
  [./pt]
    type = TensorMechanicsPlasticTensile
    tensile_strength = str
    yield_function_tolerance = 1E-3
    tensile_tip_smoother = 0.05
    internal_constraint_tolerance = 1E-9
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    displacements = 'disp_x disp_y disp_z'
    eigenstrain_names = ini_stress
  [../]
  [./ini_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = '8E6 4E6 -18E6 4E6 -40E6 -2E6 -18E6 -2E6 -34E6'
    eigenstrain_name = ini_stress
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    ep_plastic_tolerance = 1E-9
    plastic_models = 'pt mc'
    deactivation_scheme = safe
    max_NR_iterations = 100
    min_stepsize = 0.1
  [../]
[]
[Executioner]
  end_time = 2
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = mc_tensile
  exodus = false
  [./csv]
    type = CSV
    [../]
[]
(modules/tensor_mechanics/test/tests/capped_mohr_coulomb/random1.i)
# Using CappedMohrCoulomb with tensile failure only
# Plasticity models:
# Tensile strength = 1MPa
#
# Lame lambda = 1GPa.  Lame mu = 1.3GPa
#
# A line of elements is perturbed randomly, and return to the yield surface at each quadpoint is checked
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1000
  ny = 1234
  nz = 1
  xmin = 0
  xmax = 1000
  ymin = 0
  ymax = 1234
  zmin = 0
  zmax = 1
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]
[ICs]
  [./x]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_x
  [../]
  [./y]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_y
  [../]
  [./z]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_z
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '0'
  [../]
[]
[AuxVariables]
  [./f0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./f0]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f0
  [../]
  [./f1]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f1
  [../]
  [./f2]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f2
  [../]
  [./int0]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 0
    variable = int0
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
[]
[Postprocessors]
  [./tot_iters]
    type = ElementIntegralMaterialProperty
    mat_prop = plastic_NR_iterations
    outputs = console
  [../]
  [./raw_f0]
    type = ElementExtremeValue
    variable = f0
    outputs = console
  [../]
  [./raw_f1]
    type = ElementExtremeValue
    variable = f1
    outputs = console
  [../]
  [./raw_f2]
    type = ElementExtremeValue
    variable = f2
    outputs = console
  [../]
  [./iter]
    type = ElementExtremeValue
    variable = iter
    outputs = console
  [../]
  [./f0]
    type = FunctionValuePostprocessor
    function = should_be_zero0_fcn
  [../]
  [./f1]
    type = FunctionValuePostprocessor
    function = should_be_zero1_fcn
  [../]
  [./f2]
    type = FunctionValuePostprocessor
    function = should_be_zero2_fcn
  [../]
[]
[Functions]
  [./should_be_zero0_fcn]
    type = ParsedFunction
    value = 'if(a<1E-1,0,a)'
    vars = 'a'
    vals = 'raw_f0'
  [../]
  [./should_be_zero1_fcn]
    type = ParsedFunction
    value = 'if(a<1E-1,0,a)'
    vars = 'a'
    vals = 'raw_f1'
  [../]
  [./should_be_zero2_fcn]
    type = ParsedFunction
    value = 'if(a<1E-1,0,a)'
    vars = 'a'
    vals = 'raw_f2'
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningCubic
    value_0 = 1E6
    value_residual = 0
    internal_limit = 1
  [../]
  [./cs]
    type = TensorMechanicsHardeningConstant
    value = 1E12
  [../]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 1E12
  [../]
  [./ang]
    type = TensorMechanicsHardeningConstant
    value = 0.5
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '1E9 1.3E9'
  [../]
  [./tensile]
    type = CappedMohrCoulombStressUpdate
    tensile_strength = ts
    compressive_strength = cs
    cohesion = coh
    friction_angle = ang
    dilation_angle = ang
    smoothing_tol = 1E5
    max_NR_iterations = 100
    yield_function_tol = 1.0E-1
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = tensile
    perform_finite_strain_rotations = false
  [../]
[]
[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = random1
  csv = true
[]
(modules/tensor_mechanics/test/tests/capped_mohr_coulomb/random5.i)
# Using CappedMohrCoulomb
# Plasticity models:
# Tensile strength = 1.5
# Compressive strength = 3.0
# Cohesion = 1.0
# Friction angle = dilation angle = 20deg
#
# Young = 1, Poisson = 0.3
#
# A line of elements is perturbed randomly, and return to the yield surface at each quadpoint is checked
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 100
  ny = 12
  nz = 1
  xmin = 0
  xmax = 100
  ymin = 0
  ymax = 12
  zmin = 0
  zmax = 1
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[ICs]
  [./x]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_x
  [../]
  [./y]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_y
  [../]
  [./z]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_z
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '0'
  [../]
[]
[AuxVariables]
  [./Smax]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./Smid]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./Smin]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./Smax]
    type = RankTwoScalarAux
    rank_two_tensor = stress
    variable = Smax
    scalar_type = MaxPrincipal
  [../]
  [./Smid]
    type = RankTwoScalarAux
    rank_two_tensor = stress
    variable = Smid
    scalar_type = MidPrincipal
  [../]
  [./Smin]
    type = RankTwoScalarAux
    rank_two_tensor = stress
    variable = Smin
    scalar_type = MinPrincipal
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 1.5
  [../]
  [./cs]
    type = TensorMechanicsHardeningConstant
    value = 3.0
  [../]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 1.0
  [../]
  [./phi]
    type = TensorMechanicsHardeningConstant
    value = 20
    convert_to_radians = true
  [../]
  [./psi]
    type = TensorMechanicsHardeningConstant
    value = 3
    convert_to_radians = true
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 100
    poissons_ratio = 0.3
  [../]
  [./strain]
    type = ComputeFiniteStrain
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./capped_mc]
    type = CappedMohrCoulombStressUpdate
    tensile_strength = ts
    compressive_strength = cs
    cohesion = coh
    friction_angle = phi
    dilation_angle = psi
    smoothing_tol = 0.2
    yield_function_tol = 1.0E-12
    max_NR_iterations = 1000
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = capped_mc
    perform_finite_strain_rotations = false
  [../]
[]
[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = random5
  exodus = true
[]
(modules/tensor_mechanics/test/tests/drucker_prager/small_deform3_inner_tip.i)
# apply repeated stretches in x z directions, and smaller stretches along the y direction,
# so that sigma_I = sigma_II,
# which means that lode angle = 30deg.
# The allows yield surface in meridional plane to be mapped out
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '1E-6*x*t'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '-1.7E-6*y*t'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z*t'
  [../]
[]
[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mc_int]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./mc_int_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_internal_parameter
    variable = mc_int
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./internal]
    type = PointValue
    point = '0 0 0'
    variable = mc_int
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]
[UserObjects]
  [./mc_coh]
    type = TensorMechanicsHardeningConstant
    value = 10
  [../]
  [./mc_phi]
    type = TensorMechanicsHardeningConstant
    value = 35
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = TensorMechanicsHardeningConstant
    value = 5
    convert_to_radians = true
  [../]
  [./mc]
    type = TensorMechanicsPlasticDruckerPragerHyperbolic
    mc_cohesion = mc_coh
    mc_friction_angle = mc_phi
    mc_dilation_angle = mc_psi
    smoother = 8
    mc_interpolation_scheme = inner_tip
    yield_function_tolerance = 1E-7
    internal_constraint_tolerance = 1E-9
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./strain]
    type = ComputeIncrementalSmallStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-13
    plastic_models = mc
    debug_fspb = crash
  [../]
[]
[Executioner]
  end_time = 10
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform3_inner_tip
  exodus = false
  [./csv]
    type = CSV
    [../]
[]
(modules/tensor_mechanics/test/tests/jacobian/mc_update34_cosserat.i)
# Cosserat version of Capped Mohr Columb (using StressUpdate)
# Compressive + shear failure, starting from a non-symmetric stress state
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  Cosserat_rotations = 'wc_x wc_y wc_z'
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
  [./wc_x]
  [../]
  [./wc_y]
  [../]
[]
[Kernels]
  [./cx_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_x
    component = 0
  [../]
  [./cy_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_y
    component = 1
  [../]
  [./cz_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_z
    component = 2
  [../]
  [./x_couple]
    type = StressDivergenceTensors
    variable = wc_x
    displacements = 'wc_x wc_y wc_z'
    component = 0
    base_name = couple
  [../]
  [./y_couple]
    type = StressDivergenceTensors
    variable = wc_y
    displacements = 'wc_x wc_y wc_z'
    component = 1
    base_name = couple
  [../]
  [./x_moment]
    type = MomentBalancing
    variable = wc_x
    component = 0
  [../]
  [./y_moment]
    type = MomentBalancing
    variable = wc_y
    component = 1
  [../]
[]
[AuxVariables]
  [./wc_z]
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./cs]
    type = TensorMechanicsHardeningConstant
    value = 1E2
  [../]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 4E1
  [../]
  [./phi]
    type = TensorMechanicsHardeningConstant
    value = 35
    convert_to_radians = true
  [../]
  [./psi]
    type = TensorMechanicsHardeningConstant
    value = 5
    convert_to_radians = true
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeLayeredCosseratElasticityTensor
    young = 1E3
    poisson = 0.25
    layer_thickness = 1.0
    joint_normal_stiffness = 2.0
    joint_shear_stiffness = 1.0
  [../]
  [./strain]
    type = ComputeCosseratIncrementalSmallStrain
    eigenstrain_names = ini_stress
  [../]
  [./ini_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = '-100.1 -0.1 0.2  -0.1 -0.9 0  0.2 0.1 -1.1'
    eigenstrain_name = ini_stress
  [../]
  [./cmc]
    type = CappedMohrCoulombCosseratStressUpdate
    host_youngs_modulus = 1E3
    host_poissons_ratio = 0.25
    tensile_strength = ts
    compressive_strength = cs
    cohesion = coh
    friction_angle = phi
    dilation_angle = psi
    smoothing_tol = 0.5
    yield_function_tol = 1.0E-12
  [../]
  [./stress]
    type = ComputeMultipleInelasticCosseratStress
    inelastic_models = cmc
    perform_finite_strain_rotations = false
  [../]
[]
[Preconditioning]
  [./andy]
    type = SMP
    full = true
    petsc_options_iname = '-snes_type'
    petsc_options_value = 'test'
  [../]
[]
[Executioner]
  type = Transient
  solve_type = Newton
[]
(modules/tensor_mechanics/tutorials/basics/part_2.3.i)
#Tensor Mechanics tutorial: the basics
#Step 2, part 3
#2D axisymmetric RZ simulation of uniaxial tension with J2 plasticity with no
#hardening
[GlobalParams]
  displacements = 'disp_r disp_z'
[]
[Problem]
  coord_type = RZ
[]
[Mesh]
  file = necking_quad4.e
  uniform_refine = 0
  second_order = true
[]
[Modules/TensorMechanics/Master]
  [./block1]
    strain = FINITE
    add_variables = true
    generate_output = 'stress_yy strain_yy' #use the yy option to get the zz component in axisymmetric coords
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 2.1e5
    poissons_ratio = 0.3
  [../]
  [./stress]
    type = ComputeMultiPlasticityStress
    ep_plastic_tolerance = 1e-9
    plastic_models = J2
  [../]
[]
[UserObjects]
  [./str]
    type = TensorMechanicsHardeningConstant
    value = 2.4e2
  [../]
  [./J2]
    type = TensorMechanicsPlasticJ2
    yield_strength = str
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-9
  [../]
[]
[BCs]
  [./left]
    type = DirichletBC
    variable = disp_r
    boundary = left
    value = 0.0
  [../]
  [./bottom]
    type = DirichletBC
    variable = disp_z
    boundary = bottom
    value = 0.0
  [../]
  [./top]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = top
    function = '0.0007*t'
  [../]
[]
[Preconditioning]
  [./SMP]
    type = SMP
    full = true
  [../]
[]
[Executioner]
  type = Transient
  dt = 0.25
  end_time = 20
  solve_type = 'PJFNK'
  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-pc_type -sub_pc_type -pc_asm_overlap -ksp_gmres_restart'
  petsc_options_value = 'asm lu 1 101'
[]
[Postprocessors]
  [./ave_stress_bottom]
    type = SideAverageValue
    variable = stress_yy
    boundary = bottom
  [../]
  [./ave_strain_bottom]
    type = SideAverageValue
    variable = strain_yy
    boundary = bottom
  [../]
[]
[Outputs]
  exodus = true
  perf_graph = true
  csv = true
  print_linear_residuals = false
[]
(modules/tensor_mechanics/test/tests/weak_plane_shear/large_deform4.i)
# apply a number of "random" configurations and
# check that the algorithm returns to the yield surface
# using the 'cap' tip_scheme
#
# must be careful here - we cannot put in arbitrary values of C_ijkl, otherwise the condition
# df/dsigma * C * flow_dirn < 0 for some stresses
# The important features that must be obeyed are:
# 0 = C_0222 = C_1222  (holds for transversely isotropic, for instance)
# C_0212 < C_0202 = C_1212 (holds for transversely isotropic)
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[BCs]
  [./bottomx]
    type = DirichletBC
    variable = disp_x
    boundary = back
    value = 0.0
  [../]
  [./bottomy]
    type = DirichletBC
    variable = disp_y
    boundary = back
    value = 0.0
  [../]
  [./bottomz]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0.0
  [../]
  # the following are "random" deformations
  # each is O(1E-1) to provide large deformations
  [./topx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = front
    function = '(sin(0.1*t)+x)/1E1'
  [../]
  [./topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = front
    function = '(cos(t)+x*y)/1E1'
  [../]
  [./topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = 'sin(0.4321*t)*x*y*z/1E1'
  [../]
[]
[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = yield_fcn
  [../]
[]
[Postprocessors]
  [./yield_fcn_at_zero]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
    outputs = 'console'
  [../]
  [./should_be_zero]
    type = FunctionValuePostprocessor
    function = should_be_zero_fcn
  [../]
[]
[Functions]
  [./should_be_zero_fcn]
    type = ParsedFunction
    value = 'if(a<1E-3,0,a)'
    vars = 'a'
    vals = 'yield_fcn_at_zero'
  [../]
[]
[UserObjects]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 1E3
  [../]
  [./tanphi]
    type = TensorMechanicsHardeningConstant
    value = 0.577350269
  [../]
  [./tanpsi]
    type = TensorMechanicsHardeningConstant
    value = 0.08748866
  [../]
  [./wps]
    type = TensorMechanicsPlasticWeakPlaneShear
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    tip_scheme = cap
    smoother = 100
    cap_rate = 0.001
    cap_start = 0.0
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-3
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    # the following is transversely isotropic, i think.
    fill_method = symmetric9
    C_ijkl = '3E9 1E9 3E9 3E9 3E9 6E9 1E9 1E9 9E9'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    plastic_models = wps
    transverse_direction = '0 0 1'
    max_NR_iterations = 100
    ep_plastic_tolerance = 1E-3
    debug_fspb = crash
  [../]
[]
[Executioner]
  end_time = 1E4
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = large_deform4
  exodus = false
  [./csv]
    type = CSV
    [../]
[]
(modules/combined/test/tests/j2_plasticity_vs_LSH/j2_hard1_mod_small_strain.i)
# Test designed to compare results and active time between SH/LinearStrainHardening
# material vs TM j2 plastic user object. As number of elements increases, TM
# active time increases at a much higher rate than SM. Testing at 4x4x4
# (64 elements).
#
# plot vm_stress vs intnl to see constant hardening
#
# Original test located at:
# tensor_mechanics/tests/j2_plasticity/hard1.i
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 4
  ny = 4
  nz = 4
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
  displacements = 'disp_x disp_y disp_z'
[]
[Variables]
  [./disp_x]
    order = FIRST
    family = LAGRANGE
  [../]
  [./disp_y]
    order = FIRST
    family = LAGRANGE
  [../]
  [./disp_z]
    order = FIRST
    family = LAGRANGE
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[AuxVariables]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./vm_stress]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./eq_pl_strain]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./intnl]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_internal_parameter
    variable = intnl
  [../]
  [./eq_pl_strain]
    type = RankTwoScalarAux
    rank_two_tensor = plastic_strain
    scalar_type = EffectiveStrain
    variable = eq_pl_strain
  [../]
  [./vm_stress]
    type = RankTwoScalarAux
    rank_two_tensor = stress
    scalar_type = VonMisesStress
    variable = vm_stress
  [../]
[]
[BCs]
  [./left]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0.0
  [../]
  [./bottom]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0.0
  [../]
  [./back]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0.0
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = 't/60'
  [../]
[]
[UserObjects]
  [./str]
    type = TensorMechanicsHardeningConstant
    value = 2.4e2
  [../]
  [./j2]
    type = TensorMechanicsPlasticJ2
    yield_strength = str
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-9
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    #with E = 2.1e5 and nu = 0.3
    #Hooke's law: E-nu to Lambda-G
    C_ijkl = '121154 80769.2'
  [../]
  [./strain]
    type = ComputeIncrementalSmallStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = j2
    tangent_operator = elastic
    perform_finite_strain_rotations = false
  [../]
[]
[Executioner]
  type = Transient
  #Preconditioned JFNK (default)
  solve_type = 'PJFNK'
  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-ksp_gmres_restart'
  petsc_options_value = '101'
  line_search = 'none'
  l_max_its = 100
  nl_max_its = 100
  nl_rel_tol = 1e-6
  nl_abs_tol = 1e-10
  l_tol = 1e-4
  start_time = 0.0
  end_time = 0.5
  dt = 0.01
[]
[Postprocessors]
  [./stress_zz]
    type = ElementAverageValue
    variable = stress_zz
  [../]
  [./intnl]
    type = ElementAverageValue
    variable = intnl
  [../]
  [./eq_pl_strain]
    type = PointValue
    point = '0 0 0'
    variable = eq_pl_strain
  [../]
  [./vm_stress]
    type = PointValue
    point = '0 0 0'
    variable = vm_stress
  [../]
[]
[Outputs]
  csv = true
  print_linear_residuals = false
  perf_graph = true
[]
(modules/tensor_mechanics/test/tests/capped_weak_plane/throw_test.i)
# Illustrates throwing an Exception from a Material.  In this case we
# don't actually recover from the segfault (so it is a RunException
# test) but in practice one could do so.  The purpose of this test is
# to ensure that exceptions can be thrown from Materials with stateful
# material properties without reading/writing to/from uninitialized
# memory.
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    incremental = true
  [../]
[]
[BCs]
  [./bottomx]
    type = DirichletBC
    variable = disp_x
    boundary = back
    value = 0.0
  [../]
  [./bottomy]
    type = DirichletBC
    variable = disp_y
    boundary = back
    value = 0.0
  [../]
  [./bottomz]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0.0
  [../]
  [./topx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = front
    function = 0
  [../]
  [./topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = front
    function = 0
  [../]
  [./topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = t
  [../]
[]
[UserObjects]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 20
  [../]
  [./tanphi]
    type = TensorMechanicsHardeningConstant
    value = 0.5
  [../]
  [./tanpsi]
    type = TensorMechanicsHardeningConstant
    value = 0.1
  [../]
  [./t_strength]
    type = TensorMechanicsHardeningCubic
    value_0 = 1
    value_residual = 2
    internal_limit = 1
  [../]
  [./c_strength]
    type = TensorMechanicsHardeningConstant
    value = 100
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '0 1'
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    inelastic_models = stress
    perform_finite_strain_rotations = false
  [../]
  [./stress]
    type = CappedWeakPlaneStressUpdate
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    tensile_strength = t_strength
    compressive_strength = c_strength
    max_NR_iterations = 1
    tip_smoother = 5
    smoothing_tol = 5
    yield_function_tol = 1E-10
  [../]
[]
[Executioner]
  end_time = 1
  dt = 1
  dtmin = 1
  type = Transient
[]
[Outputs]
  file_base = SEGFAULT
  csv = true
[]
(modules/tensor_mechanics/test/tests/jacobian/mc_update33_cosserat.i)
# Cosserat version of Capped Mohr Columb (using StressUpdate)
# Compressive + shear failure, starting from a symmetric stress state
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  Cosserat_rotations = 'wc_x wc_y wc_z'
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
  [./wc_x]
  [../]
  [./wc_y]
  [../]
[]
[Kernels]
  [./cx_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_x
    component = 0
  [../]
  [./cy_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_y
    component = 1
  [../]
  [./cz_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_z
    component = 2
  [../]
  [./x_couple]
    type = StressDivergenceTensors
    variable = wc_x
    displacements = 'wc_x wc_y wc_z'
    component = 0
    base_name = couple
  [../]
  [./y_couple]
    type = StressDivergenceTensors
    variable = wc_y
    displacements = 'wc_x wc_y wc_z'
    component = 1
    base_name = couple
  [../]
  [./x_moment]
    type = MomentBalancing
    variable = wc_x
    component = 0
  [../]
  [./y_moment]
    type = MomentBalancing
    variable = wc_y
    component = 1
  [../]
[]
[AuxVariables]
  [./wc_z]
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./cs]
    type = TensorMechanicsHardeningConstant
    value = 1
  [../]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 4E1
  [../]
  [./phi]
    type = TensorMechanicsHardeningConstant
    value = 35
    convert_to_radians = true
  [../]
  [./psi]
    type = TensorMechanicsHardeningConstant
    value = 5
    convert_to_radians = true
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeLayeredCosseratElasticityTensor
    young = 1
    poisson = 0.25
    layer_thickness = 1.0
    joint_normal_stiffness = 2.0
    joint_shear_stiffness = 1.0
  [../]
  [./strain]
    type = ComputeCosseratIncrementalSmallStrain
    eigenstrain_names = ini_stress
  [../]
  [./ini_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = '-10 -12 14  -12 -5 -20  14 -20 -8'
    eigenstrain_name = ini_stress
  [../]
  [./cmc]
    type = CappedMohrCoulombCosseratStressUpdate
    host_youngs_modulus = 1
    host_poissons_ratio = 0.25
    tensile_strength = ts
    compressive_strength = cs
    cohesion = coh
    friction_angle = phi
    dilation_angle = psi
    smoothing_tol = 0.5
    yield_function_tol = 1.0E-12
  [../]
  [./stress]
    type = ComputeMultipleInelasticCosseratStress
    inelastic_models = cmc
    perform_finite_strain_rotations = false
  [../]
[]
[Preconditioning]
  [./andy]
    type = SMP
    full = true
    petsc_options_iname = '-snes_type'
    petsc_options_value = 'test'
  [../]
[]
[Executioner]
  type = Transient
  solve_type = Newton
[]
(modules/tensor_mechanics/test/tests/mohr_coulomb/except1.i)
# checking for exception error messages
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '1E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '1E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z'
  [../]
[]
[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
[]
[UserObjects]
  [./mc_coh]
    type = TensorMechanicsHardeningConstant
    value = 10
  [../]
  [./mc_phi]
    type = TensorMechanicsHardeningConstant
    value = 30
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = TensorMechanicsHardeningConstant
    value = 45
    convert_to_radians = true
  [../]
  [./mc]
    type = TensorMechanicsPlasticMohrCoulomb
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    mc_tip_smoother = 1
    mc_edge_smoother = 25
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-9
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = mc
    debug_fspb = crash
    debug_jac_at_stress = '10 0 0 0 10 0 0 0 10'
    debug_jac_at_pm = 1
    debug_jac_at_intnl = 1
    debug_stress_change = 1E-5
    debug_pm_change = 1E-6
    debug_intnl_change = 1E-6
  [../]
[]
[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = except1
  exodus = false
  [./csv]
    type = CSV
    [../]
[]
(modules/tensor_mechanics/test/tests/capped_weak_plane/small_deform11.i)
# use an initial stress, then apply a shear deformation and tensile stretch to observe all hardening.
# Here p_trial=12, q_trial=2*Sqrt(20)
# MOOSE yields:
# q_returned = 1.696
# p_returned = 0.100
# intnl_shear = 1.81
# intnl_tens = 0.886
# These give, at the returned point
# cohesion = 1.84
# tanphi = 0.513
# tanpsi = 0.058
# tensile = 0.412
# This means that
# f_shear = -0.0895
# f_tensile = -0.312
# Note that these are within smoothing_tol (=1) of each other
# Hence, smoothing must be used:
# ismoother = 0.0895
# (which gives the yield function value = 0)
# smoother = 0.328
# This latter gives dg/dq = 0.671, dg/dp = 0.368
# for the flow directions.  Finally ga = 2.70, and
# the returned point satisfies the normality conditions.
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    incremental = true
    eigenstrain_names = ini_stress
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz plastic_strain_xx plastic_strain_xy plastic_strain_xz plastic_strain_yy plastic_strain_yz plastic_strain_zz strain_xx strain_xy strain_xz strain_yy strain_yz strain_zz'
  [../]
[]
[BCs]
  [./bottomx]
    type = DirichletBC
    variable = disp_x
    boundary = back
    value = 0.0
  [../]
  [./bottomy]
    type = DirichletBC
    variable = disp_y
    boundary = back
    value = 0.0
  [../]
  [./bottomz]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0.0
  [../]
  [./topx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = front
    function = '0.5*t'
  [../]
  [./topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = front
    function = 't'
  [../]
  [./topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = '0.5*t'
  [../]
[]
[AuxVariables]
  [./f_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_compressive]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./ls]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./f_shear]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f_shear
  [../]
  [./f_tensile]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f_tensile
  [../]
  [./f_compressive]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f_compressive
  [../]
  [./intnl_shear]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = intnl_shear
  [../]
  [./intnl_tensile]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 1
    variable = intnl_tensile
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./ls]
    type = MaterialRealAux
    property = plastic_linesearch_needed
    variable = ls
  [../]
[]
[Postprocessors]
  [./stress_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./stress_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./stress_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./stress_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./stress_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./stress_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./strainp_xx]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_xx
  [../]
  [./strainp_xy]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_xy
  [../]
  [./strainp_xz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_xz
  [../]
  [./strainp_yy]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_yy
  [../]
  [./strainp_yz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_yz
  [../]
  [./strainp_zz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_zz
  [../]
  [./straint_xx]
    type = PointValue
    point = '0 0 0'
    variable = strain_xx
  [../]
  [./straint_xy]
    type = PointValue
    point = '0 0 0'
    variable = strain_xy
  [../]
  [./straint_xz]
    type = PointValue
    point = '0 0 0'
    variable = strain_xz
  [../]
  [./straint_yy]
    type = PointValue
    point = '0 0 0'
    variable = strain_yy
  [../]
  [./straint_yz]
    type = PointValue
    point = '0 0 0'
    variable = strain_yz
  [../]
  [./straint_zz]
    type = PointValue
    point = '0 0 0'
    variable = strain_zz
  [../]
  [./f_shear]
    type = PointValue
    point = '0 0 0'
    variable = f_shear
  [../]
  [./f_tensile]
    type = PointValue
    point = '0 0 0'
    variable = f_tensile
  [../]
  [./f_compressive]
    type = PointValue
    point = '0 0 0'
    variable = f_compressive
  [../]
  [./intnl_shear]
    type = PointValue
    point = '0 0 0'
    variable = intnl_shear
  [../]
  [./intnl_tensile]
    type = PointValue
    point = '0 0 0'
    variable = intnl_tensile
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
  [./ls]
    type = PointValue
    point = '0 0 0'
    variable = ls
  [../]
[]
[UserObjects]
  [./coh]
    type = TensorMechanicsHardeningExponential
    value_0 = 1
    value_residual = 2
    rate = 1
  [../]
  [./tanphi]
    type = TensorMechanicsHardeningExponential
    value_0 = 1.0
    value_residual = 0.5
    rate = 2
  [../]
  [./tanpsi]
    type = TensorMechanicsHardeningExponential
    value_0 = 0.1
    value_residual = 0.05
    rate = 1
  [../]
  [./t_strength]
    type = TensorMechanicsHardeningExponential
    value_0 = 1
    value_residual = 0
    rate = 1
  [../]
  [./c_strength]
    type = TensorMechanicsHardeningConstant
    value = 1E8
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    lambda = 4.0
    shear_modulus = 4.0
  [../]
  [./ini_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = '0 0 2 0 0 4 2 4 6'
    eigenstrain_name = ini_stress
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    inelastic_models = stress
    perform_finite_strain_rotations = false
  [../]
  [./stress]
    type = CappedWeakPlaneStressUpdate
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    tensile_strength = t_strength
    compressive_strength = c_strength
    max_NR_iterations = 20
    tip_smoother = 0
    smoothing_tol = 1
    yield_function_tol = 1E-3
    perfect_guess = false
  [../]
[]
[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform11
  [./csv]
    type = CSV
  [../]
[]
(modules/tensor_mechanics/test/tests/drucker_prager/small_deform3_native.i)
# apply repeated stretches in x z directions, and smaller stretches along the y direction,
# so that sigma_I = sigma_II,
# which means that lode angle = 30deg.
# The allows yield surface in meridional plane to be mapped out
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '1E-6*x*t'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '-1.35E-6*y*t'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z*t'
  [../]
[]
[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mc_int]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./mc_int_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_internal_parameter
    variable = mc_int
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./internal]
    type = PointValue
    point = '0 0 0'
    variable = mc_int
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]
[UserObjects]
  [./mc_coh]
    type = TensorMechanicsHardeningConstant
    value = 10
  [../]
  [./mc_phi]
    type = TensorMechanicsHardeningConstant
    value = 35
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = TensorMechanicsHardeningConstant
    value = 5
    convert_to_radians = true
  [../]
  [./mc]
    type = TensorMechanicsPlasticDruckerPragerHyperbolic
    mc_cohesion = mc_coh
    mc_friction_angle = mc_phi
    mc_dilation_angle = mc_psi
    smoother = 8
    mc_interpolation_scheme = native
    yield_function_tolerance = 1E-7
    internal_constraint_tolerance = 1E-9
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./strain]
    type = ComputeIncrementalSmallStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-13
    plastic_models = mc
    debug_fspb = crash
  [../]
[]
[Executioner]
  end_time = 10
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform3_native
  exodus = false
  [./csv]
    type = CSV
    [../]
[]
(modules/tensor_mechanics/test/tests/jacobian/cwpc01.i)
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  Cosserat_rotations = 'wc_x wc_y wc_z'
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
  [./wc_x]
  [../]
  [./wc_y]
  [../]
[]
[Kernels]
  [./cx_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_x
    component = 0
  [../]
  [./cy_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_y
    component = 1
  [../]
  [./cz_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_z
    component = 2
  [../]
  [./x_couple]
    type = StressDivergenceTensors
    variable = wc_x
    displacements = 'wc_x wc_y wc_z'
    component = 0
    base_name = couple
  [../]
  [./y_couple]
    type = StressDivergenceTensors
    variable = wc_y
    displacements = 'wc_x wc_y wc_z'
    component = 1
    base_name = couple
  [../]
  [./x_moment]
    type = MomentBalancing
    variable = wc_x
    component = 0
  [../]
  [./y_moment]
    type = MomentBalancing
    variable = wc_y
    component = 1
  [../]
[]
[AuxVariables]
  [./wc_z]
  [../]
[]
[UserObjects]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 20
  [../]
  [./tanphi]
    type = TensorMechanicsHardeningConstant
    value = 0.5
  [../]
  [./tanpsi]
    type = TensorMechanicsHardeningConstant
    value = 2.055555555556E-01
  [../]
  [./t_strength]
    type = TensorMechanicsHardeningConstant
    value = 1
  [../]
  [./c_strength]
    type = TensorMechanicsHardeningConstant
    value = 100
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeLayeredCosseratElasticityTensor
    young = 10.0
    poisson = 0.25
    layer_thickness = 10.0
    joint_normal_stiffness = 2.5
    joint_shear_stiffness = 2.0
  [../]
  [./strain]
    type = ComputeCosseratIncrementalSmallStrain
    eigenstrain_names = ini_stress
  [../]
  [./ini_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = '10 0 0  0 10 0  0 0 10'
    eigenstrain_name = ini_stress
  [../]
  [./admissible]
    type = ComputeMultipleInelasticCosseratStress
    inelastic_models = stress
    perform_finite_strain_rotations = false
  [../]
  [./stress]
    type = CappedWeakPlaneCosseratStressUpdate
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    tensile_strength = t_strength
    compressive_strength = c_strength
    tip_smoother = 1
    smoothing_tol = 1
    yield_function_tol = 1E-11
  [../]
[]
[Preconditioning]
  [./andy]
    type = SMP
    full = true
    petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it -snes_type'
    petsc_options_value = 'bcgs bjacobi 1E-15 1E-10 10000 test'
  [../]
[]
[Executioner]
  solve_type = 'NEWTON'
  end_time = 1
  dt = 1
  type = Transient
[]
(modules/tensor_mechanics/test/tests/weak_plane_tensile/large_deform2.i)
# large strain with weak-plane normal rotating with mesh
# First rotate mesh 45deg about x axis
# Then apply stretch in the y=z direction.
# This should create a pure tensile load (no shear), which
# should return to the yield surface.
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[BCs]
  # rotate:
  # ynew = c*y + s*z.  znew = -s*y + c*z
  [./bottomx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = back
    function = '0'
  [../]
  [./bottomy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = back
    function = '0.70710678*y+0.70710678*z-y'
  [../]
  [./bottomz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = back
    function = '-0.70710678*y+0.70710678*z-z'
  [../]
  [./topx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = front
    function = '0'
  [../]
  [./topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = front
    function = '0.70710678*y+0.70710678*z-y+if(t>0,1,0)'
  [../]
  [./topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = '-0.70710678*y+0.70710678*z-z+if(t>0,1,0)'
  [../]
[]
[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = yield_fcn
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]
[UserObjects]
  [./str]
    type = TensorMechanicsHardeningConstant
    value = 1.0E6
  [../]
  [./wpt]
    type = TensorMechanicsPlasticWeakPlaneTensile
    tensile_strength = str
    yield_function_tolerance = 1E-7
    internal_constraint_tolerance = 1E-5
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    plastic_models = wpt
    transverse_direction = '0 0 1'
    ep_plastic_tolerance = 1E-9
  [../]
[]
[Executioner]
  start_time = -1
  end_time = 1
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = large_deform2
  exodus = true
  [./csv]
    type = CSV
    [../]
[]
(modules/tensor_mechanics/test/tests/capped_mohr_coulomb/small_deform_hard3.i)
# Using CappedMohrCoulomb with tensile failure only
# checking for small deformation, with cubic hardening
# A single element is repeatedly stretched in z direction
# tensile_strength is set to 1Pa, tensile_strength_residual = 0.5Pa, and limit value = 1E-5
# This allows the hardening of the tensile strength to be observed
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'max_principal_stress mid_principal_stress min_principal_stress'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '2E-6*z*t'
  [../]
[]
[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = yield_fcn
  [../]
  [./iter_auxk]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./intnl_auxk]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 1
    variable = intnl
  [../]
[]
[Postprocessors]
  [./s_I]
    type = PointValue
    point = '0 0 0'
    variable = max_principal_stress
  [../]
  [./s_II]
    type = PointValue
    point = '0 0 0'
    variable = mid_principal_stress
  [../]
  [./s_III]
    type = PointValue
    point = '0 0 0'
    variable = min_principal_stress
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
  [./intnl]
    type = PointValue
    point = '0 0 0'
    variable = intnl
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningCubic
    value_0 = 1.0
    value_residual = 0.5
    internal_0 = 0
    internal_limit = 1E-5
  [../]
  [./cs]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./ang]
    type = TensorMechanicsHardeningConstant
    value = 0.5
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '0 2.0E6'
  [../]
  [./tensile]
    type = CappedMohrCoulombStressUpdate
    tensile_strength = ts
    compressive_strength = cs
    cohesion = coh
    friction_angle = ang
    dilation_angle = ang
    smoothing_tol = 0.0
    yield_function_tol = 1.0E-12
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = tensile
    perform_finite_strain_rotations = false
  [../]
[]
[Executioner]
  end_time = 10
  dt = 1.0
  type = Transient
[]
[Outputs]
  file_base = small_deform_hard3
  csv = true
[]
(modules/tensor_mechanics/test/tests/jacobian/mc_update6.i)
# MC update version, with only Tensile with tensile strength = 1MPa and smoothing_tol = 0.1E5
# Lame lambda = 1GPa.  Lame mu = 1.3GPa
# Units in this file are MPa (not Pa)
#
# Start from non-diagonal stress state with softening.
# Returns to the plane of tensile yield
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningCubic
    value_0 = 1
    value_residual = 0.5
    internal_limit = 2E-2
  [../]
  [./cs]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./ang]
    type = TensorMechanicsHardeningConstant
    value = 30
    convert_to_radians = true
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    lambda = 1.0E3
    shear_modulus = 1.3E3
  [../]
  [./strain]
    type = ComputeIncrementalSmallStrain
    displacements = 'disp_x disp_y disp_z'
    eigenstrain_names = ini_stress
  [../]
  [./ini_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = '-1 0.1 0.2  0.1 15 -0.3  0.2 -0.3 0'
    eigenstrain_name = ini_stress
  [../]
  [../]
  [./cmc]
    type = CappedMohrCoulombStressUpdate
    tensile_strength = ts
    compressive_strength = cs
    cohesion = coh
    friction_angle = ang
    dilation_angle = ang
    smoothing_tol = 0.1
    yield_function_tol = 1.0E-12
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = cmc
    perform_finite_strain_rotations = false
  [../]
[]
[Preconditioning]
  [./andy]
    type = SMP
    full = true
    petsc_options_iname = '-snes_type'
    petsc_options_value = 'test'
  [../]
[]
[Executioner]
  type = Transient
  solve_type = Newton
[]
(modules/tensor_mechanics/test/tests/mohr_coulomb/except3.i)
# checking for exception error messages on the edge smoothing
# here edge_smoother=5deg, which means the friction_angle must be <= 35.747
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '1E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '1E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z'
  [../]
[]
[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
[]
[UserObjects]
  [./mc_coh]
    type = TensorMechanicsHardeningConstant
    value = 10
  [../]
  [./mc_phi]
    type = TensorMechanicsHardeningConstant
    value = 36
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = TensorMechanicsHardeningConstant
    value = 5
    convert_to_radians = true
  [../]
  [./mc]
    type = TensorMechanicsPlasticMohrCoulomb
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    mc_tip_smoother = 1
    mc_edge_smoother = 5
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-9
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = mc
    debug_fspb = crash
    debug_jac_at_stress = '10 0 0 0 10 0 0 0 10'
    debug_jac_at_pm = 1
    debug_jac_at_intnl = 1
    debug_stress_change = 1E-5
    debug_pm_change = 1E-6
    debug_intnl_change = 1E-6
  [../]
[]
[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = except3
  exodus = false
  [./csv]
    type = CSV
    [../]
[]
(modules/tensor_mechanics/test/tests/jacobian/mc_update1.i)
# MC update version, with only Tensile with tensile strength = 1MPa and smoothing_tol = 0.1E5
# Lame lambda = 1GPa.  Lame mu = 1.3GPa
# Units in this file are MPa (not Pa)
#
# Return to the stress_I = 1 plane
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 1
  [../]
  [./cs]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./ang]
    type = TensorMechanicsHardeningConstant
    value = 30
    convert_to_radians = true
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    lambda = 1.0E3
    shear_modulus = 1.3E3
  [../]
  [./strain]
    type = ComputeIncrementalSmallStrain
    displacements = 'disp_x disp_y disp_z'
    eigenstrain_names = ini_stress
  [../]
  [./ini_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = '2 0 0  0 0 0  0 0 -2'
    eigenstrain_name = ini_stress
  [../]
  [./cmc]
    type = CappedMohrCoulombStressUpdate
    tensile_strength = ts
    compressive_strength = cs
    cohesion = coh
    friction_angle = ang
    dilation_angle = ang
    smoothing_tol = 0.1
    yield_function_tol = 1.0E-12
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = cmc
    perform_finite_strain_rotations = false
  [../]
[]
[Preconditioning]
  [./andy]
    type = SMP
    full = true
    petsc_options_iname = '-snes_type'
    petsc_options_value = 'test'
  [../]
[]
[Executioner]
  type = Transient
  solve_type = Newton
[]
(modules/tensor_mechanics/test/tests/jacobian/cto14.i)
# Jacobian check for nonlinear, multi-surface plasticity.
# Returns to an edge of the tensile yield surface
# This is a very nonlinear test and a delicate test because it perturbs around
# an edge of the yield function where some derivatives are not well defined
#
# Plasticity models:
# Mohr-Coulomb with cohesion = 40MPa, friction angle = 35deg, dilation angle = 5deg
# Tensile with strength = 1MPa
#
# Lame lambda = 1GPa.  Lame mu = 1.3GPa
#
# NOTE: The yield function tolerances here are set at 100-times what i would usually use
# This is because otherwise the test fails on the 'pearcey' architecture.
# This is because identical stress tensors yield slightly different eigenvalues
# (and hence return-map residuals) on 'pearcey' than elsewhere, which results in
# a different number of NR iterations are needed to return to the yield surface.
# This is presumably because of compiler internals, or the BLAS routines being
# optimised differently or something similar.
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./linesearch]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./ld]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./constr_added]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int3]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int4]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int5]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int6]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int7]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int8]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int0]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./linesearch]
    type = MaterialRealAux
    property = plastic_linesearch_needed
    variable = linesearch
  [../]
  [./ld]
    type = MaterialRealAux
    property = plastic_linear_dependence_encountered
    variable = ld
  [../]
  [./constr_added]
    type = MaterialRealAux
    property = plastic_constraints_added
    variable = constr_added
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./int0]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    variable = int0
    index = 0
  [../]
  [./int1]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    variable = int1
    index = 1
  [../]
  [./int2]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    variable = int2
    index = 2
  [../]
  [./int3]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    variable = int3
    index = 3
  [../]
  [./int4]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    variable = int4
    index = 4
  [../]
  [./int5]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    variable = int5
    index = 5
  [../]
  [./int6]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    variable = int6
    index = 6
  [../]
  [./int7]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    variable = int7
    index = 7
  [../]
  [./int8]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    variable = int8
    index = 8
  [../]
[]
[Postprocessors]
  [./max_int0]
    type = ElementExtremeValue
    variable = int0
    outputs = console
  [../]
  [./max_int1]
    type = ElementExtremeValue
    variable = int1
    outputs = console
  [../]
  [./max_int2]
    type = ElementExtremeValue
    variable = int2
    outputs = console
  [../]
  [./max_int3]
    type = ElementExtremeValue
    variable = int3
    outputs = console
  [../]
  [./max_int4]
    type = ElementExtremeValue
    variable = int4
    outputs = console
  [../]
  [./max_int5]
    type = ElementExtremeValue
    variable = int5
    outputs = console
  [../]
  [./max_int6]
    type = ElementExtremeValue
    variable = int6
    outputs = console
  [../]
  [./max_int7]
    type = ElementExtremeValue
    variable = int7
    outputs = console
  [../]
  [./max_int8]
    type = ElementExtremeValue
    variable = int8
    outputs = console
  [../]
  [./max_iter]
    type = ElementExtremeValue
    variable = iter
    outputs = console
  [../]
  [./av_linesearch]
    type = ElementAverageValue
    variable = linesearch
    outputs = 'console csv'
  [../]
  [./av_ld]
    type = ElementAverageValue
    variable = ld
    outputs = 'console csv'
  [../]
  [./av_constr_added]
    type = ElementAverageValue
    variable = constr_added
    outputs = 'console csv'
  [../]
  [./av_iter]
    type = ElementAverageValue
    variable = iter
    outputs = 'console csv'
  [../]
[]
[UserObjects]
  [./mc_coh]
    type = TensorMechanicsHardeningConstant
    value = 4E1
  [../]
  [./mc_phi]
    type = TensorMechanicsHardeningConstant
    value = 35
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = TensorMechanicsHardeningConstant
    value = 5
    convert_to_radians = true
  [../]
  [./mc]
    type = TensorMechanicsPlasticMohrCoulombMulti
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    yield_function_tolerance = 1.0E-4  # Note larger value
    shift = 1.0E-4                     # Note larger value
    internal_constraint_tolerance = 1.0E-7
  [../]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 1E0
  [../]
  [./tensile]
    type = TensorMechanicsPlasticTensileMulti
    tensile_strength = ts
    yield_function_tolerance = 1.0E-4  # Note larger value
    shift = 1.0E-4                     # Note larger value
    internal_constraint_tolerance = 1.0E-7
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '1.0E3 1.3E3'
  [../]
  [./strain]
    type = ComputeIncrementalSmallStrain
    displacements = 'disp_x disp_y disp_z'
    eigenstrain_names = ini_stress
  [../]
  [./ini_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = '10 12 -14  12 5 20  -14 20 8'
    eigenstrain_name = ini_stress
  [../]
  [./multi]
    type = ComputeMultiPlasticityStress
    ep_plastic_tolerance = 1E-7
    plastic_models = 'tensile mc'
    max_NR_iterations = 5
    specialIC = 'rock'
    deactivation_scheme = 'safe'
    min_stepsize = 1
    tangent_operator = nonlinear
  [../]
[]
[Preconditioning]
  [./andy]
    type = SMP
    full = true
    petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it -snes_type'
    petsc_options_value = 'bcgs bjacobi 1E-15 1E-10 10000 test'
  [../]
[]
[Executioner]
  type = Transient
  solve_type = Newton
[]
[Outputs]
  file_base = cto14
  exodus = false
  csv = true
[]
(modules/tensor_mechanics/test/tests/jacobian/tensile_update1.i)
# Tensile, update version, with strength = 1MPa and smoothing_tol = 0.1E5
# Lame lambda = 1GPa.  Lame mu = 1.3GPa
# Units in this file are MPa (not Pa)
#
# Return to the stress_I = 1 plane
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 1
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    lambda = 1.0E3
    shear_modulus = 1.3E3
  [../]
  [./strain]
    type = ComputeIncrementalSmallStrain
    displacements = 'disp_x disp_y disp_z'
    eigenstrain_names = ini_stress
  [../]
  [./ini_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = '2 0 0  0 0 0  0 0 -2'
    eigenstrain_name = ini_stress
  [../]
  [./tensile]
    type = TensileStressUpdate
    tensile_strength = ts
    smoothing_tol = 0.1
    yield_function_tol = 1.0E-12
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = tensile
    perform_finite_strain_rotations = false
  [../]
[]
[Preconditioning]
  [./andy]
    type = SMP
    full = true
    petsc_options_iname = '-snes_type'
    petsc_options_value = 'test'
  [../]
[]
[Executioner]
  type = Transient
  solve_type = Newton
[]
(modules/tensor_mechanics/test/tests/multi/special_joint1.i)
# Plasticity models:
# WeakPlaneTensile with strength = 1000Pa
# WeakPlaneShear with cohesion = 0.1MPa and friction angle = 25
#
# Lame lambda = 1GPa.  Lame mu = 1.3GPa
#
# A line of elements is perturbed randomly, and return to the yield surface at each quadpoint is checked
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1000
  ny = 125
  nz = 1
  xmin = 0
  xmax = 1000
  ymin = 0
  ymax = 125
  zmin = 0
  zmax = 1
[]
[GlobalParams]
  volumetric_locking_correction=true
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[ICs]
  [./x]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_x
  [../]
  [./y]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_y
  [../]
  [./z]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_z
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '0'
  [../]
[]
[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./linesearch]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./ld]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./constr_added]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./linesearch]
    type = MaterialRealAux
    property = plastic_linesearch_needed
    variable = linesearch
  [../]
  [./ld]
    type = MaterialRealAux
    property = plastic_linear_dependence_encountered
    variable = ld
  [../]
  [./constr_added]
    type = MaterialRealAux
    property = plastic_constraints_added
    variable = constr_added
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
[]
[Postprocessors]
  [./max_iter]
    type = ElementExtremeValue
    variable = iter
    outputs = console
  [../]
  [./av_linesearch]
    type = ElementAverageValue
    variable = linesearch
    outputs = 'console csv'
  [../]
  [./av_ld]
    type = ElementAverageValue
    variable = ld
    outputs = 'console csv'
  [../]
  [./av_constr_added]
    type = ElementAverageValue
    variable = constr_added
    outputs = 'console csv'
  [../]
  [./av_iter]
    type = ElementAverageValue
    variable = iter
    outputs = 'console csv'
  [../]
[]
[UserObjects]
  [./wpt_str]
    type = TensorMechanicsHardeningConstant
    value = 1000
  [../]
  [./wpt]
    type = TensorMechanicsPlasticWeakPlaneTensile
    tensile_strength = wpt_str
    yield_function_tolerance = 1.0
    internal_constraint_tolerance = 1.0E-7
  [../]
  [./wps_c]
    type = TensorMechanicsHardeningConstant
    value = 1.0E5
  [../]
  [./wps_tan_phi]
    type = TensorMechanicsHardeningConstant
    value = 0.466
  [../]
  [./wps_tan_psi]
    type = TensorMechanicsHardeningConstant
    value = 0.087
  [../]
  [./wps]
    type = TensorMechanicsPlasticWeakPlaneShear
    cohesion = wps_c
    tan_friction_angle = wps_tan_phi
    tan_dilation_angle = wps_tan_psi
    smoother = 0
    yield_function_tolerance = 1.0
    internal_constraint_tolerance = 1.0E-7
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '1.0E9 1.3E9'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./multi]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-7
    plastic_models = 'wpt wps'
    max_NR_iterations = 5
    specialIC = 'joint'
    deactivation_scheme = 'safe'
    min_stepsize = 1
    max_stepsize_for_dumb = 1
    debug_fspb = crash
    debug_jac_at_stress = '10 0 0 0 10 0 0 0 10'
    debug_jac_at_pm = '1 1 1 1'
    debug_jac_at_intnl = '1 1 1 1'
    debug_stress_change = 1E1
    debug_pm_change = '1E-6 1E-6 1E-6 1E-6'
    debug_intnl_change = '1E-6 1E-6 1E-6 1E-6'
  [../]
[]
[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = special_joint1
  exodus = false
  csv = true
[]
(modules/tensor_mechanics/test/tests/mohr_coulomb/except2.i)
# checking for exception error messages
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '1E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '1E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z'
  [../]
[]
[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
[]
[UserObjects]
  [./mc_coh]
    type = TensorMechanicsHardeningConstant
    value = 10
  [../]
  [./mc_phi]
    type = TensorMechanicsHardeningConstant
    value = 30
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = TensorMechanicsHardeningConstant
    value = 5
    convert_to_radians = true
  [../]
  [./mc]
    type = TensorMechanicsPlasticMohrCoulomb
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    mc_tip_smoother = 1
    mc_edge_smoother = 25
    mc_lode_cutoff = -1.0E-6
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-9
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = mc
    debug_fspb = crash
    debug_jac_at_stress = '10 0 0 0 10 0 0 0 10'
    debug_jac_at_pm = 1
    debug_jac_at_intnl = 1
    debug_stress_change = 1E-5
    debug_pm_change = 1E-6
    debug_intnl_change = 1E-6
  [../]
[]
[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = except2
  exodus = false
  [./csv]
    type = CSV
    [../]
[]
(modules/tensor_mechanics/test/tests/multiple_two_parameter_plasticity/dp_then_wp.i)
# Use ComputeMultipleInelasticStress with two inelastic models: CappedDruckerPrager and CappedWeakPlane.
# The relative_tolerance and absolute_tolerance parameters are set very large so that
# only one iteration is performed.  This is the algorithm that FLAC uses to model
# jointed rocks, only Capped-Mohr-Coulomb is used instead of CappedDruckerPrager
#
# initial_stress = diag(1E3, 1E3, 1E3)
# The CappedDruckerPrager has tensile strength 3E2 and large cohesion,
# so the stress initially returns to diag(1E2, 1E2, 1E2)
# The CappedWeakPlane has tensile strength zero and large cohesion,
# so the stress returns to diag(1E2 - v/(1-v)*1E2, 1E2 - v/(1-v)*1E2, 0)
# where v=0.2 is the Poisson's ratio
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    incremental = true
    eigenstrain_names = ini_stress
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = 0
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = 0
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = 0
  [../]
[]
[AuxVariables]
  [./yield_fcn_dp]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn_wp]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./yield_fcn_dp_auxk]
    type = MaterialStdVectorAux
    index = 1    # this is the tensile yield function - it should be zero
    property = cdp_plastic_yield_function
    variable = yield_fcn_dp
  [../]
  [./yield_fcn_wp_auxk]
    type = MaterialStdVectorAux
    index = 1    # this is the tensile yield function - it should be zero
    property = cwp_plastic_yield_function
    variable = yield_fcn_wp
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f_dp]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn_dp
  [../]
  [./f_wp]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn_wp
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 300
  [../]
  [./cs]
    type = TensorMechanicsHardeningConstant
    value = 1E4
  [../]
  [./mc_coh]
    type = TensorMechanicsHardeningConstant
    value = 1E4
  [../]
  [./mc_phi]
    type = TensorMechanicsHardeningConstant
    value = 20
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = TensorMechanicsHardeningConstant
    value = 0
  [../]
  [./dp]
    type = TensorMechanicsPlasticDruckerPrager
    mc_cohesion = mc_coh
    mc_friction_angle = mc_phi
    mc_dilation_angle = mc_psi
    internal_constraint_tolerance = 1 # irrelevant here
    yield_function_tolerance = 1      # irrelevant here
  [../]
  [./wp_coh]
    type = TensorMechanicsHardeningConstant
    value = 1E4
  [../]
  [./wp_tanphi]
    type = TensorMechanicsHardeningConstant
    value = 0.5
  [../]
  [./wp_tanpsi]
    type = TensorMechanicsHardeningConstant
    value = 0.1111077
  [../]
  [./wp_t_strength]
    type = TensorMechanicsHardeningConstant
    value = 0
  [../]
  [./wp_c_strength]
    type = TensorMechanicsHardeningConstant
    value = 1E4
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    poissons_ratio = 0.2
    youngs_modulus = 1E7
  [../]
  [./ini_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = '1E3 0 0  0 1E3 0  0 0 1E3'
    eigenstrain_name = ini_stress
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    relative_tolerance = 1E4
    absolute_tolerance = 2
    inelastic_models = 'cdp cwp'
    perform_finite_strain_rotations = false
  [../]
  [./cdp]
    type = CappedDruckerPragerStressUpdate
    base_name = cdp
    DP_model = dp
    tensile_strength = ts
    compressive_strength = cs
    yield_function_tol = 1E-5
    tip_smoother = 1E3
    smoothing_tol = 1E3
  [../]
  [./cwp]
    type = CappedWeakPlaneStressUpdate
    base_name = cwp
    cohesion = wp_coh
    tan_friction_angle = wp_tanphi
    tan_dilation_angle = wp_tanpsi
    tensile_strength = wp_t_strength
    compressive_strength = wp_c_strength
    tip_smoother = 1E3
    smoothing_tol = 1E3
    yield_function_tol = 1E-5
  [../]
[]
[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = dp_then_wp
  csv = true
[]
(modules/porous_flow/test/tests/plastic_heating/tensile01.i)
# Tensile heating, using capped weak-plane plasticity
# z_disp(z=1) = t
# totalstrain_zz = t
# with C_ijkl = 0.5 0.25
# stress_zz = t, but with tensile_strength = 1, stress_zz = min(t, 1)
# so plasticstrain_zz = t - 1
# heat_energy_rate = coeff * (t - 1)
# Heat capacity of rock = specific_heat_cap * density = 4
# So temperature of rock should be:
# (1 - porosity) * 4 * T = (1 - porosity) * coeff * (t - 1)
[Mesh]
  type = GeneratedMesh
  dim = 3
  xmin = -10
  xmax = 10
  zmin = 0
  zmax = 1
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  PorousFlowDictator = dictator
[]
[Variables]
  [temperature]
  []
[]
[Kernels]
  [energy_dot]
    type = PorousFlowEnergyTimeDerivative
    variable = temperature
  []
  [phe]
    type = PorousFlowPlasticHeatEnergy
    variable = temperature
  []
[]
[AuxVariables]
  [disp_x]
  []
  [disp_y]
  []
  [disp_z]
  []
[]
[AuxKernels]
  [disp_z]
    type = FunctionAux
    variable = disp_z
    function = z*t
  []
[]
[UserObjects]
  [dictator]
    type = PorousFlowDictator
    porous_flow_vars = temperature
    number_fluid_phases = 0
    number_fluid_components = 0
  []
  [coh]
    type = TensorMechanicsHardeningConstant
    value = 100
  []
  [tanphi]
    type = TensorMechanicsHardeningConstant
    value = 1.0
  []
  [t_strength]
    type = TensorMechanicsHardeningConstant
    value = 1
  []
  [c_strength]
    type = TensorMechanicsHardeningConstant
    value = 1
  []
[]
[Materials]
  [rock_internal_energy]
    type = PorousFlowMatrixInternalEnergy
    specific_heat_capacity = 2
    density = 2
  []
  [temp]
    type = PorousFlowTemperature
    temperature = temperature
  []
  [porosity]
    type = PorousFlowPorosityConst
    porosity = 0.2
  []
  [phe]
    type = ComputePlasticHeatEnergy
  []
  [elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '0.5 0.25'
  []
  [strain]
    type = ComputeIncrementalSmallStrain
    displacements = 'disp_x disp_y disp_z'
  []
  [admissible]
    type = ComputeMultipleInelasticStress
    inelastic_models = mc
    perform_finite_strain_rotations = false
  []
  [mc]
    type = CappedWeakPlaneStressUpdate
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanphi
    tensile_strength = t_strength
    compressive_strength = c_strength
    tip_smoother = 0
    smoothing_tol = 1
    yield_function_tol = 1E-10
    perfect_guess = true
  []
[]
[Postprocessors]
  [temp]
    type = PointValue
    point = '0 0 0'
    variable = temperature
  []
[]
[Preconditioning]
  [andy]
    type = SMP
    full = true
    petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it'
    petsc_options_value = 'bcgs bjacobi 1E-15 1E-10 10000'
  []
[]
[Executioner]
  type = Transient
  solve_type = Newton
  dt = 1
  end_time = 10
[]
[Outputs]
  file_base = tensile01
  csv = true
[]
(modules/porous_flow/examples/coal_mining/coarse_with_fluid.i)
# Strata deformation and fluid flow aaround a coal mine - 3D model
#
# A "half model" is used.  The mine is 400m deep and
# just the roof is studied (-400<=z<=0).  The mining panel
# sits between 0<=x<=150, and 0<=y<=1000, so this simulates
# a coal panel that is 300m wide and 1000m long.  The outer boundaries
# are 1km from the excavation boundaries.
#
# The excavation takes 0.5 years.
#
# The boundary conditions for this simulation are:
#  - disp_x = 0 at x=0 and x=1150
#  - disp_y = 0 at y=-1000 and y=1000
#  - disp_z = 0 at z=-400, but there is a time-dependent
#               Young modulus that simulates excavation
#  - wc_x = 0 at y=-1000 and y=1000
#  - wc_y = 0 at x=0 and x=1150
#  - no flow at x=0, z=-400 and z=0
#  - fixed porepressure at y=-1000, y=1000 and x=1150
# That is, rollers on the sides, free at top,
# and prescribed at bottom in the unexcavated portion.
#
# A single-phase unsaturated fluid is used.
#
# The small strain formulation is used.
#
# All stresses are measured in MPa, and time units are measured in years.
#
# The initial porepressure is hydrostatic with P=0 at z=0, so
# Porepressure ~ - 0.01*z MPa, where the fluid has density 1E3 kg/m^3 and
# gravity = = 10 m.s^-2 = 1E-5 MPa m^2/kg.
# To be more accurate, i use
# Porepressure = -bulk * log(1 + g*rho0*z/bulk)
# where bulk=2E3 MPa and rho0=1Ee kg/m^3.
# The initial stress is consistent with the weight force from undrained
# density 2500 kg/m^3, and fluid porepressure, and a Biot coefficient of 0.7, ie,
# stress_zz^effective = 0.025*z + 0.7 * initial_porepressure
# The maximum and minimum principal horizontal effective stresses are
# assumed to be equal to 0.8*stress_zz.
#
# Material properties:
# Young's modulus = 8 GPa
# Poisson's ratio = 0.25
# Cosserat layer thickness = 1 m
# Cosserat-joint normal stiffness = large
# Cosserat-joint shear stiffness = 1 GPa
# MC cohesion = 2 MPa
# MC friction angle = 35 deg
# MC dilation angle = 8 deg
# MC tensile strength = 1 MPa
# MC compressive strength = 100 MPa
# WeakPlane cohesion = 0.1 MPa
# WeakPlane friction angle = 30 deg
# WeakPlane dilation angle = 10 deg
# WeakPlane tensile strength = 0.1 MPa
# WeakPlane compressive strength = 100 MPa softening to 1 MPa at strain = 1
# Fluid density at zero porepressure = 1E3 kg/m^3
# Fluid bulk modulus = 2E3 MPa
# Fluid viscosity = 1.1E-3 Pa.s = 1.1E-9 MPa.s = 3.5E-17 MPa.year
#
[GlobalParams]
  perform_finite_strain_rotations = false
  displacements = 'disp_x disp_y disp_z'
  Cosserat_rotations = 'wc_x wc_y wc_z'
  PorousFlowDictator = dictator
  biot_coefficient = 0.7
[]
[Mesh]
  [file]
    type = FileMeshGenerator
    file = mesh/coarse.e
  []
  [xmin]
    type = SideSetsAroundSubdomainGenerator
     block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16'
    new_boundary = xmin
    normal = '-1 0 0'
    input = file
  []
  [xmax]
    type = SideSetsAroundSubdomainGenerator
     block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16'
    new_boundary = xmax
    normal = '1 0 0'
    input = xmin
  []
  [ymin]
    type = SideSetsAroundSubdomainGenerator
     block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16'
    new_boundary = ymin
    normal = '0 -1 0'
    input = xmax
  []
  [ymax]
    type = SideSetsAroundSubdomainGenerator
     block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16'
    new_boundary = ymax
    normal = '0 1 0'
    input = ymin
  []
  [zmax]
    type = SideSetsAroundSubdomainGenerator
    block = 16
    new_boundary = zmax
    normal = '0 0 1'
    input = ymax
  []
  [zmin]
    type = SideSetsAroundSubdomainGenerator
    block = 2
    new_boundary = zmin
    normal = '0 0 -1'
    input = zmax
  []
  [excav]
    type = SubdomainBoundingBoxGenerator
    input = zmin
    block_id = 1
    bottom_left = '0 0 -400'
    top_right = '150 1000 -397'
  []
  [roof]
    type = SideSetsBetweenSubdomainsGenerator
    primary_block = 3
    paired_block = 1
    input = excav
    new_boundary = roof
  []
[]
[Variables]
  [disp_x]
  []
  [disp_y]
  []
  [disp_z]
  []
  [wc_x]
  []
  [wc_y]
  []
  [porepressure]
    scaling = 1E-5
  []
[]
[ICs]
  [porepressure]
    type = FunctionIC
    variable = porepressure
    function = ini_pp
  []
[]
[Kernels]
  [cx_elastic]
    type = CosseratStressDivergenceTensors
    use_displaced_mesh = false
    variable = disp_x
    component = 0
  []
  [cy_elastic]
    type = CosseratStressDivergenceTensors
    use_displaced_mesh = false
    variable = disp_y
    component = 1
  []
  [cz_elastic]
    type = CosseratStressDivergenceTensors
    use_displaced_mesh = false
    variable = disp_z
    component = 2
  []
  [x_couple]
    type = StressDivergenceTensors
    use_displaced_mesh = false
    variable = wc_x
    displacements = 'wc_x wc_y wc_z'
    component = 0
    base_name = couple
  []
  [y_couple]
    type = StressDivergenceTensors
    use_displaced_mesh = false
    variable = wc_y
    displacements = 'wc_x wc_y wc_z'
    component = 1
    base_name = couple
  []
  [x_moment]
    type = MomentBalancing
    use_displaced_mesh = false
    variable = wc_x
    component = 0
  []
  [y_moment]
    type = MomentBalancing
    use_displaced_mesh = false
    variable = wc_y
    component = 1
  []
  [gravity]
    type = Gravity
    use_displaced_mesh = false
    variable = disp_z
    value = -10E-6 # remember this is in MPa
  []
  [poro_x]
    type = PorousFlowEffectiveStressCoupling
    use_displaced_mesh = false
    variable = disp_x
    component = 0
  []
  [poro_y]
    type = PorousFlowEffectiveStressCoupling
    use_displaced_mesh = false
    variable = disp_y
    component = 1
  []
  [poro_z]
    type = PorousFlowEffectiveStressCoupling
    use_displaced_mesh = false
    component = 2
    variable = disp_z
  []
  [mass0]
    type = PorousFlowMassTimeDerivative
    use_displaced_mesh = false
    fluid_component = 0
    variable = porepressure
  []
  [flux]
    type = PorousFlowAdvectiveFlux
    use_displaced_mesh = false
    variable = porepressure
    gravity = '0 0 -10E-6'
    fluid_component = 0
  []
  [poro_vol_exp]
    type = PorousFlowMassVolumetricExpansion
    use_displaced_mesh = false
     block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16'
    variable = porepressure
    fluid_component = 0
  []
[]
[AuxVariables]
  [saturation]
    order = CONSTANT
    family = MONOMIAL
  []
  [darcy_x]
    order = CONSTANT
    family = MONOMIAL
  []
  [darcy_y]
    order = CONSTANT
    family = MONOMIAL
  []
  [darcy_z]
    order = CONSTANT
    family = MONOMIAL
  []
  [porosity]
    order = CONSTANT
    family = MONOMIAL
  []
  [wc_z]
  []
  [stress_xx]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_xy]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_xz]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_yx]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_yy]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_yz]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_zx]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_zy]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [total_strain_xx]
    order = CONSTANT
    family = MONOMIAL
  []
  [total_strain_xy]
    order = CONSTANT
    family = MONOMIAL
  []
  [total_strain_xz]
    order = CONSTANT
    family = MONOMIAL
  []
  [total_strain_yx]
    order = CONSTANT
    family = MONOMIAL
  []
  [total_strain_yy]
    order = CONSTANT
    family = MONOMIAL
  []
  [total_strain_yz]
    order = CONSTANT
    family = MONOMIAL
  []
  [total_strain_zx]
    order = CONSTANT
    family = MONOMIAL
  []
  [total_strain_zy]
    order = CONSTANT
    family = MONOMIAL
  []
  [total_strain_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [perm_xx]
    order = CONSTANT
    family = MONOMIAL
  []
  [perm_yy]
    order = CONSTANT
    family = MONOMIAL
  []
  [perm_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [mc_shear]
    order = CONSTANT
    family = MONOMIAL
  []
  [mc_tensile]
    order = CONSTANT
    family = MONOMIAL
  []
  [wp_shear]
    order = CONSTANT
    family = MONOMIAL
  []
  [wp_tensile]
    order = CONSTANT
    family = MONOMIAL
  []
  [wp_shear_f]
    order = CONSTANT
    family = MONOMIAL
  []
  [wp_tensile_f]
    order = CONSTANT
    family = MONOMIAL
  []
  [mc_shear_f]
    order = CONSTANT
    family = MONOMIAL
  []
  [mc_tensile_f]
    order = CONSTANT
    family = MONOMIAL
  []
[]
[AuxKernels]
  [saturation_water]
    type = PorousFlowPropertyAux
    variable = saturation
    property = saturation
    phase = 0
    execute_on = timestep_end
  []
  [darcy_x]
    type = PorousFlowDarcyVelocityComponent
    variable = darcy_x
    gravity = '0 0 -10E-6'
    component = x
  []
  [darcy_y]
    type = PorousFlowDarcyVelocityComponent
    variable = darcy_y
    gravity = '0 0 -10E-6'
    component = y
  []
  [darcy_z]
    type = PorousFlowDarcyVelocityComponent
    variable = darcy_z
    gravity = '0 0 -10E-6'
    component = z
  []
  [porosity]
    type = PorousFlowPropertyAux
    property = porosity
    variable = porosity
    execute_on = timestep_end
  []
  [stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
    execute_on = timestep_end
  []
  [stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
    execute_on = timestep_end
  []
  [stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
    execute_on = timestep_end
  []
  [stress_yx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yx
    index_i = 1
    index_j = 0
    execute_on = timestep_end
  []
  [stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
    execute_on = timestep_end
  []
  [stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
    execute_on = timestep_end
  []
  [stress_zx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zx
    index_i = 2
    index_j = 0
    execute_on = timestep_end
  []
  [stress_zy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zy
    index_i = 2
    index_j = 1
    execute_on = timestep_end
  []
  [stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  []
  [total_strain_xx]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = total_strain_xx
    index_i = 0
    index_j = 0
    execute_on = timestep_end
  []
  [total_strain_xy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = total_strain_xy
    index_i = 0
    index_j = 1
    execute_on = timestep_end
  []
  [total_strain_xz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = total_strain_xz
    index_i = 0
    index_j = 2
    execute_on = timestep_end
  []
  [total_strain_yx]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = total_strain_yx
    index_i = 1
    index_j = 0
    execute_on = timestep_end
  []
  [total_strain_yy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = total_strain_yy
    index_i = 1
    index_j = 1
    execute_on = timestep_end
  []
  [total_strain_yz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = total_strain_yz
    index_i = 1
    index_j = 2
    execute_on = timestep_end
  []
  [total_strain_zx]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = total_strain_zx
    index_i = 2
    index_j = 0
    execute_on = timestep_end
  []
  [total_strain_zy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = total_strain_zy
    index_i = 2
    index_j = 1
    execute_on = timestep_end
  []
  [total_strain_zz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = total_strain_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  []
  [perm_xx]
    type = PorousFlowPropertyAux
    property = permeability
    variable = perm_xx
    row = 0
    column = 0
    execute_on = timestep_end
  []
  [perm_yy]
    type = PorousFlowPropertyAux
    property = permeability
    variable = perm_yy
    row = 1
    column = 1
    execute_on = timestep_end
  []
  [perm_zz]
    type = PorousFlowPropertyAux
    property = permeability
    variable = perm_zz
    row = 2
    column = 2
    execute_on = timestep_end
  []
  [mc_shear]
    type = MaterialStdVectorAux
    index = 0
    property = mc_plastic_internal_parameter
    variable = mc_shear
    execute_on = timestep_end
  []
  [mc_tensile]
    type = MaterialStdVectorAux
    index = 1
    property = mc_plastic_internal_parameter
    variable = mc_tensile
    execute_on = timestep_end
  []
  [wp_shear]
    type = MaterialStdVectorAux
    index = 0
    property = wp_plastic_internal_parameter
    variable = wp_shear
    execute_on = timestep_end
  []
  [wp_tensile]
    type = MaterialStdVectorAux
    index = 1
    property = wp_plastic_internal_parameter
    variable = wp_tensile
    execute_on = timestep_end
  []
  [mc_shear_f]
    type = MaterialStdVectorAux
    index = 6
    property = mc_plastic_yield_function
    variable = mc_shear_f
    execute_on = timestep_end
  []
  [mc_tensile_f]
    type = MaterialStdVectorAux
    index = 0
    property = mc_plastic_yield_function
    variable = mc_tensile_f
    execute_on = timestep_end
  []
  [wp_shear_f]
    type = MaterialStdVectorAux
    index = 0
    property = wp_plastic_yield_function
    variable = wp_shear_f
    execute_on = timestep_end
  []
  [wp_tensile_f]
    type = MaterialStdVectorAux
    index = 1
    property = wp_plastic_yield_function
    variable = wp_tensile_f
    execute_on = timestep_end
  []
[]
[BCs]
  [no_x]
    type = DirichletBC
    variable = disp_x
    boundary = 'xmin xmax'
    value = 0.0
  []
  [no_y]
    type = DirichletBC
    variable = disp_y
    boundary = 'ymin ymax'
    value = 0.0
  []
  [no_z]
    type = DirichletBC
    variable = disp_z
    boundary = zmin
    value = 0.0
  []
  [no_wc_x]
    type = DirichletBC
    variable = wc_x
    boundary = 'ymin ymax'
    value = 0.0
  []
  [no_wc_y]
    type = DirichletBC
    variable = wc_y
    boundary = 'xmin xmax'
    value = 0.0
  []
  [fix_porepressure]
    type = FunctionDirichletBC
    variable = porepressure
    boundary = 'ymin ymax xmax'
    function = ini_pp
  []
  [roof_porepressure]
    type = PorousFlowPiecewiseLinearSink
    variable = porepressure
    pt_vals = '-1E3 1E3'
    multipliers = '-1 1'
    fluid_phase = 0
    flux_function = roof_conductance
    boundary = roof
  []
  [roof_bcs]
    type = StickyBC
    variable = disp_z
    min_value = -3.0
    boundary = roof
  []
[]
[Functions]
  [ini_pp]
    type = ParsedFunction
    vars = 'bulk p0 g    rho0'
    vals = '2E3 0.0 1E-5 1E3'
    value = '-bulk*log(exp(-p0/bulk)+g*rho0*z/bulk)'
  []
  [ini_xx]
    type = ParsedFunction
    vars = 'bulk p0 g    rho0 biot'
    vals = '2E3 0.0 1E-5 1E3  0.7'
    value = '0.8*(2500*10E-6*z+biot*(-bulk*log(exp(-p0/bulk)+g*rho0*z/bulk)))'
  []
  [ini_zz]
    type = ParsedFunction
    vars = 'bulk p0 g    rho0 biot'
    vals = '2E3 0.0 1E-5 1E3  0.7'
    value = '2500*10E-6*z+biot*(-bulk*log(exp(-p0/bulk)+g*rho0*z/bulk))'
  []
  [excav_sideways]
    type = ParsedFunction
    vars = 'end_t ymin ymax  minval maxval slope'
    vals = '0.5   0    1000.0 1E-9 1 60'
    # excavation face at ymin+(ymax-ymin)*min(t/end_t,1)
    # slope is the distance over which the modulus reduces from maxval to minval
    value = 'if(y<ymin+(ymax-ymin)*min(t/end_t,1),minval,if(y<ymin+(ymax-ymin)*min(t/end_t,1)+slope,minval+(maxval-minval)*(y-(ymin+(ymax-ymin)*min(t/end_t,1)))/slope,maxval))'
  []
  [density_sideways]
    type = ParsedFunction
    vars = 'end_t ymin ymax  minval maxval'
    vals = '0.5   0    1000.0 0 2500'
    value = 'if(y<ymin+(ymax-ymin)*min(t/end_t,1),minval,maxval)'
  []
  [roof_conductance]
    type = ParsedFunction
    vars = 'end_t ymin ymax   maxval minval'
    vals = '0.5   0    1000.0 1E7      0'
    value = 'if(y<ymin+(ymax-ymin)*min(t/end_t,1),maxval,minval)'
  []
[]
[UserObjects]
  [dictator]
    type = PorousFlowDictator
    porous_flow_vars = 'porepressure disp_x disp_y disp_z'
    number_fluid_phases = 1
    number_fluid_components = 1
  []
  [pc]
    type = PorousFlowCapillaryPressureVG
    m = 0.5
    alpha = 1 # MPa^-1
  []
  [mc_coh_strong_harden]
    type = TensorMechanicsHardeningExponential
    value_0 = 1.99 # MPa
    value_residual = 2.01 # MPa
    rate = 1.0
  []
  [mc_fric]
    type = TensorMechanicsHardeningConstant
    value = 0.61 # 35deg
  []
  [mc_dil]
    type = TensorMechanicsHardeningConstant
    value = 0.15 # 8deg
  []
  [mc_tensile_str_strong_harden]
    type = TensorMechanicsHardeningExponential
    value_0 = 1.0 # MPa
    value_residual = 1.0 # MPa
    rate = 1.0
  []
  [mc_compressive_str]
    type = TensorMechanicsHardeningCubic
    value_0 = 100 # Large!
    value_residual = 100
    internal_limit = 0.1
  []
  [wp_coh_harden]
    type = TensorMechanicsHardeningCubic
    value_0 = 0.05
    value_residual = 0.05
    internal_limit = 10
  []
  [wp_tan_fric]
    type = TensorMechanicsHardeningConstant
    value = 0.26 # 15deg
  []
  [wp_tan_dil]
    type = TensorMechanicsHardeningConstant
    value = 0.18 # 10deg
  []
  [wp_tensile_str_harden]
    type = TensorMechanicsHardeningCubic
    value_0 = 0.05
    value_residual = 0.05
    internal_limit = 10
  []
  [wp_compressive_str_soften]
    type = TensorMechanicsHardeningCubic
    value_0 = 100
    value_residual = 1
    internal_limit = 1.0
  []
[]
[Modules]
  [FluidProperties]
    [simple_fluid]
      type = SimpleFluidProperties
      bulk_modulus = 2E3
      density0 = 1000
      thermal_expansion = 0
      viscosity = 3.5E-17
    []
  []
[]
[Materials]
  [temperature]
    type = PorousFlowTemperature
  []
  [eff_fluid_pressure]
    type = PorousFlowEffectiveFluidPressure
  []
  [vol_strain]
    type = PorousFlowVolumetricStrain
  []
  [ppss]
    type = PorousFlow1PhaseP
    porepressure = porepressure
    capillary_pressure = pc
  []
  [massfrac]
    type = PorousFlowMassFraction
  []
  [simple_fluid]
    type = PorousFlowSingleComponentFluid
    fp = simple_fluid
    phase = 0
  []
  [porosity_bulk]
    type = PorousFlowPorosity
    fluid = true
    mechanical = true
    block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16'
    ensure_positive = true
    porosity_zero = 0.02
    solid_bulk = 5.3333E3
  []
  [porosity_excav]
    type = PorousFlowPorosityConst
    block = 1
    porosity = 1.0
  []
  [permeability_bulk]
    type = PorousFlowPermeabilityKozenyCarman
    block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16'
    poroperm_function = kozeny_carman_phi0
    k0 = 1E-15
    phi0 = 0.02
    n = 2
    m = 2
  []
  [permeability_excav]
    type = PorousFlowPermeabilityConst
    block = 1
    permeability = '0 0 0   0 0 0   0 0 0'
  []
  [relperm]
    type = PorousFlowRelativePermeabilityCorey
    n = 4
    s_res = 0.4
    sum_s_res = 0.4
    phase = 0
  []
  [elasticity_tensor_0]
    type = ComputeLayeredCosseratElasticityTensor
     block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16'
    young = 8E3 # MPa
    poisson = 0.25
    layer_thickness = 1.0
    joint_normal_stiffness = 1E9 # huge
    joint_shear_stiffness = 1E3 # MPa
  []
  [elasticity_tensor_1]
    type = ComputeLayeredCosseratElasticityTensor
    block = 1
    young = 8E3 # MPa
    poisson = 0.25
    layer_thickness = 1.0
    joint_normal_stiffness = 1E9 # huge
    joint_shear_stiffness = 1E3 # MPa
    elasticity_tensor_prefactor = excav_sideways
  []
  [strain]
    type = ComputeCosseratIncrementalSmallStrain
    eigenstrain_names = ini_stress
  []
  [ini_stress]
    type = ComputeEigenstrainFromInitialStress
    eigenstrain_name = ini_stress
    initial_stress = 'ini_xx 0 0  0 ini_xx 0  0 0 ini_zz'
  []
  [stress_0]
    type = ComputeMultipleInelasticCosseratStress
     block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16'
    inelastic_models = 'mc wp'
    cycle_models = true
    relative_tolerance = 2.0
    absolute_tolerance = 1E6
    max_iterations = 1
    tangent_operator = nonlinear
    perform_finite_strain_rotations = false
  []
  [stress_1]
    type = ComputeMultipleInelasticCosseratStress
    block = 1
    inelastic_models = ''
    relative_tolerance = 2.0
    absolute_tolerance = 1E6
    max_iterations = 1
    tangent_operator = nonlinear
    perform_finite_strain_rotations = false
  []
  [mc]
    type = CappedMohrCoulombCosseratStressUpdate
    warn_about_precision_loss = false
    host_youngs_modulus = 8E3
    host_poissons_ratio = 0.25
    base_name = mc
    tensile_strength = mc_tensile_str_strong_harden
    compressive_strength = mc_compressive_str
    cohesion = mc_coh_strong_harden
    friction_angle = mc_fric
    dilation_angle = mc_dil
    max_NR_iterations = 100000
    smoothing_tol = 0.1 # MPa  # Must be linked to cohesion
    yield_function_tol = 1E-9 # MPa.  this is essentially the lowest possible without lots of precision loss
    perfect_guess = true
    min_step_size = 1.0
  []
  [wp]
    type = CappedWeakPlaneCosseratStressUpdate
    warn_about_precision_loss = false
    base_name = wp
    cohesion = wp_coh_harden
    tan_friction_angle = wp_tan_fric
    tan_dilation_angle = wp_tan_dil
    tensile_strength = wp_tensile_str_harden
    compressive_strength = wp_compressive_str_soften
    max_NR_iterations = 10000
    tip_smoother = 0.05
    smoothing_tol = 0.05 # MPa  # Note, this must be tied to cohesion, otherwise get no possible return at cone apex
    yield_function_tol = 1E-11 # MPa.  this is essentially the lowest possible without lots of precision loss
    perfect_guess = true
    min_step_size = 1.0E-3
  []
  [undrained_density_0]
    type = GenericConstantMaterial
     block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16'
    prop_names = density
    prop_values = 2500
  []
  [undrained_density_1]
    type = GenericFunctionMaterial
    block = 1
    prop_names = density
    prop_values = density_sideways
  []
[]
[Preconditioning]
  [SMP]
    type = SMP
    full = true
  []
[]
[Postprocessors]
  [min_roof_disp]
    type = NodalExtremeValue
    boundary = roof
    value_type = min
    variable = disp_z
  []
  [min_roof_pp]
    type = NodalExtremeValue
    boundary = roof
    value_type = min
    variable = porepressure
  []
  [min_surface_disp]
    type = NodalExtremeValue
    boundary = zmax
    value_type = min
    variable = disp_z
  []
  [min_surface_pp]
    type = NodalExtremeValue
    boundary = zmax
    value_type = min
    variable = porepressure
  []
  [max_perm_zz]
    type = ElementExtremeValue
     block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16'
    variable = perm_zz
  []
[]
[Executioner]
  type = Transient
  solve_type = 'NEWTON'
  petsc_options = '-snes_converged_reason'
  # best overall
  # petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
  # petsc_options_value = ' lu       mumps'
  # best if you do not have mumps:
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
  petsc_options_value = ' lu       superlu_dist'
  # best if you do not have mumps or superlu_dist:
  #petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -ksp_type -ksp_gmres_restart'
  #petsc_options_value = ' asm      2              lu            gmres     200'
  # very basic:
  #petsc_options_iname = '-pc_type -ksp_type -ksp_gmres_restart'
  #petsc_options_value = ' bjacobi  gmres     200'
  line_search = bt
  nl_abs_tol = 1e-3
  nl_rel_tol = 1e-5
  l_max_its = 200
  nl_max_its = 30
  start_time = 0.0
  dt = 0.014706
  end_time = 0.014706 #0.5
[]
[Outputs]
  interval = 1
  print_linear_residuals = true
  exodus = true
  csv = true
  console = true
[]
(modules/tensor_mechanics/test/tests/jacobian/mc_update22_cosserat.i)
# Cosserat version of Capped Mohr Columb (using StressUpdate)
# Shear failure, starting from a non-symmetric stress state
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  Cosserat_rotations = 'wc_x wc_y wc_z'
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
  [./wc_x]
  [../]
  [./wc_y]
  [../]
[]
[Kernels]
  [./cx_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_x
    component = 0
  [../]
  [./cy_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_y
    component = 1
  [../]
  [./cz_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_z
    component = 2
  [../]
  [./x_couple]
    type = StressDivergenceTensors
    variable = wc_x
    displacements = 'wc_x wc_y wc_z'
    component = 0
    base_name = couple
  [../]
  [./y_couple]
    type = StressDivergenceTensors
    variable = wc_y
    displacements = 'wc_x wc_y wc_z'
    component = 1
    base_name = couple
  [../]
  [./x_moment]
    type = MomentBalancing
    variable = wc_x
    component = 0
  [../]
  [./y_moment]
    type = MomentBalancing
    variable = wc_y
    component = 1
  [../]
[]
[AuxVariables]
  [./wc_z]
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./cs]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 10
  [../]
  [./phi]
    type = TensorMechanicsHardeningConstant
    value = 60
    convert_to_radians = true
  [../]
  [./psi]
    type = TensorMechanicsHardeningConstant
    value = 5
    convert_to_radians = true
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeLayeredCosseratElasticityTensor
    young = 1
    poisson = 0.25
    layer_thickness = 1.0
    joint_normal_stiffness = 2.0
    joint_shear_stiffness = 1.0
  [../]
  [./strain]
    type = ComputeCosseratIncrementalSmallStrain
    eigenstrain_names = ini_stress
  [../]
  [./ini_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = '6 5 4.1  5 7 2.1  4 2 2'
    eigenstrain_name = ini_stress
  [../]
  [./cmc]
    type = CappedMohrCoulombCosseratStressUpdate
    host_youngs_modulus = 1
    host_poissons_ratio = 0.25
    tensile_strength = ts
    compressive_strength = cs
    cohesion = coh
    friction_angle = phi
    dilation_angle = psi
    smoothing_tol = 1
    yield_function_tol = 1.0E-12
  [../]
  [./stress]
    type = ComputeMultipleInelasticCosseratStress
    inelastic_models = cmc
    perform_finite_strain_rotations = false
  [../]
[]
[Preconditioning]
  [./andy]
    type = SMP
    full = true
    petsc_options_iname = '-snes_type'
    petsc_options_value = 'test'
  [../]
[]
[Executioner]
  type = Transient
  solve_type = Newton
[]
(modules/tensor_mechanics/test/tests/tensile/small_deform9_update_version.i)
# A single unit element is stretched in a complicated way
# that the trial stress is
#
#      1.16226      -0.0116587       0.0587872
#     -0.0116587         1.12695       0.0779428
#      0.0587872       0.0779428        0.710169
#
# This has eigenvalues
# la = {0.68849, 1.14101, 1.16987}
# and eigenvectors
#
# {-0.125484, -0.176871, 0.976202}
# {-0.0343704, -0.982614, -0.182451}
# {0.9915, -0.0564471, 0.117223}
#
# The tensile strength is 0.5 and Young=1 and Poisson=0.25.
# Using smoothing_tol=0.01, the return-map algorithm should
# return to, approximately, stress_I=stress_II=0.5.  This
# is a reduction of 0.65, so stress_III is approximately
# 0.68849 - 0.25 * 0.65 * 2 = 0.36.  The stress_I reduction of
# 0.67 gives an internal parameter of
# 0.67 / (E(1-v)/(1+v)/(1-2v)) = 0.558
# The final stress is
#
# {0.498, -0.003, 0.017},
# {-0.003, 0.495, 0.024},
# {0.017, 0.024,  0.367}
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    incremental = true
    strain = finite
    generate_output = 'max_principal_stress mid_principal_stress min_principal_stress stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '3*x+2*y+z'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '3*x-4*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = 'x-2*z'
  [../]
[]
[AuxVariables]
  [./f0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./f0_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f0
  [../]
  [./f1_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f1
  [../]
  [./f2_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f2
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./intnl_auxk]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = intnl
  [../]
[]
[Postprocessors]
  [./s_I]
    type = PointValue
    point = '0 0 0'
    variable = max_principal_stress
  [../]
  [./s_II]
    type = PointValue
    point = '0 0 0'
    variable = mid_principal_stress
  [../]
  [./s_III]
    type = PointValue
    point = '0 0 0'
    variable = min_principal_stress
  [../]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = f0
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = f1
  [../]
  [./f2]
    type = PointValue
    point = '0 0 0'
    variable = f2
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
  [./intnl]
    type = PointValue
    point = '0 0 0'
    variable = intnl
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 0.5
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1
    poissons_ratio = 0.25
  [../]
  [./tensile]
    type = TensileStressUpdate
    tensile_strength = ts
    smoothing_tol = 0.001
    yield_function_tol = 1.0E-12
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = tensile
    perform_finite_strain_rotations = false
  [../]
[]
[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform9_update_version
  exodus = false
  [./csv]
    type = CSV
  [../]
[]
(modules/tensor_mechanics/test/tests/capped_mohr_coulomb/small_deform12.i)
# Using CappedMohrCoulomb with compressive failure only
# checking for small deformation
# A single element is stretched equally in all directions.
# This causes the return direction to be along the sigma_I = sigma_II = sigma_III line
# compressive_strength is set to 1Pa, and smoothing_tol = 0.1Pa
# The smoothed yield function comes from two smoothing operations.
# The first is on sigma_I and sigma_II (sigma_I >= sigma_II >= sigma_III):
# yf = -sigma_I + ismoother(0) - compressive_strength
#    = -sigma_I + (0.5 * smoothing_tol - smoothing_tol / Pi) - compressive_strength
#    = -sigma_I + 0.018169 - 1
# The second has the argument of ismoother equal to -0.018169.
# ismoother(-0.018169) = 0.5 * (-0.018169 + 0.1) - 0.1 * cos (0.5 * Pi * -0.018169 / 0.1) / Pi
#                     = 0.010372
# So the final yield function is
# yf = -sigma_I + 0.018169 + 0.010372 - 1 = -sigma_I + 0.028541 - 1
# However, because of the asymmetry in smoothing (the yield function is obtained
# by first smoothing -sigma_I-cs and -sigma_II-cs, and then by smoothing this
# result with -sigma_III-cs) the result is sigma_I > sigma_II = sigma_III
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'max_principal_stress mid_principal_stress min_principal_stress stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '-1E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '-1E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '-1E-6*z'
  [../]
[]
[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = yield_fcn
  [../]
[]
[Postprocessors]
  [./s_I]
    type = PointValue
    point = '0 0 0'
    variable = max_principal_stress
  [../]
  [./s_II]
    type = PointValue
    point = '0 0 0'
    variable = mid_principal_stress
  [../]
  [./s_III]
    type = PointValue
    point = '0 0 0'
    variable = min_principal_stress
  [../]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 1
  [../]
  [./cs]
    type = TensorMechanicsHardeningConstant
    value = 1
  [../]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./ang]
    type = TensorMechanicsHardeningConstant
    value = 0.5
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 2.0E6'
  [../]
  [./tensile]
    type = CappedMohrCoulombStressUpdate
    tensile_strength = ts
    compressive_strength = cs
    cohesion = coh
    friction_angle = ang
    dilation_angle = ang
    smoothing_tol = 0.1
    yield_function_tol = 1.0E-12
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = tensile
    perform_finite_strain_rotations = false
  [../]
[]
[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform12
  csv = true
[]
(modules/tensor_mechanics/test/tests/mohr_coulomb/small_deform3.i)
# apply repeated stretches in x z directions, and smaller stretches along the y direction,
# so that sigma_I = sigma_II,
# which means that lode angle = 30deg.
# The allows yield surface in meridional plane to be mapped out
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '1E-6*x*t'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0.25E-6*y*sin(t)'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z*t'
  [../]
[]
[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mc_int]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./mc_int_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_internal_parameter
    variable = mc_int
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./internal]
    type = PointValue
    point = '0 0 0'
    variable = mc_int
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]
[UserObjects]
  [./mc_coh]
    type = TensorMechanicsHardeningConstant
    value = 10
  [../]
  [./mc_phi]
    type = TensorMechanicsHardeningConstant
    value = 50
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = TensorMechanicsHardeningExponential
    value_0 = 0
    value_residual = 0.8726646 # 50deg
    rate = 3000.0
  [../]
  [./mc]
    type = TensorMechanicsPlasticMohrCoulomb
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    mc_tip_smoother = 4
    mc_edge_smoother = 20
    yield_function_tolerance = 1E-8
    internal_constraint_tolerance = 1E-9
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = mc
    debug_fspb = crash
  [../]
[]
[Executioner]
  end_time = 30
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform3
  exodus = false
  [./csv]
    type = CSV
    [../]
[]
(modules/tensor_mechanics/test/tests/capped_mohr_coulomb/small_deform16.i)
# Using CappedMohrCoulomb with compressive failure only
# A single element is incrementally compressed in the z and x directions
# This causes the return direction to be along the hypersurface sigma_I = sigma_II
# and the resulting stresses are checked to lie on the expected yield surface
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'max_principal_stress mid_principal_stress min_principal_stress stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '-1*x*t'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '-0.4*y*t'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '-0.4*z*t'
  [../]
[]
[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 3
    variable = yield_fcn
  [../]
[]
[Postprocessors]
  [./s_I]
    type = PointValue
    point = '0 0 0'
    variable = max_principal_stress
  [../]
  [./s_II]
    type = PointValue
    point = '0 0 0'
    variable = mid_principal_stress
  [../]
  [./s_III]
    type = PointValue
    point = '0 0 0'
    variable = min_principal_stress
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./cs]
    type = TensorMechanicsHardeningConstant
    value = 1
  [../]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./ang]
    type = TensorMechanicsHardeningConstant
    value = 0.5
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '0 2.0'
  [../]
  [./tensile]
    type = CappedMohrCoulombStressUpdate
    tensile_strength = ts
    compressive_strength = cs
    cohesion = coh
    friction_angle = ang
    dilation_angle = ang
    smoothing_tol = 0.5
    yield_function_tol = 1.0E-12
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = tensile
    perform_finite_strain_rotations = false
  [../]
[]
[Executioner]
  end_time = 1
  dt = 0.1
  type = Transient
[]
[Outputs]
  file_base = small_deform16
  csv = true
[]
(modules/tensor_mechanics/test/tests/capped_mohr_coulomb/small_deform17.i)
# Using CappedMohrCoulomb with compressive failure only
# A single element is incrementally compressed
# This causes the return direction to be along the hypersurface sigma_II = sigma_III
# and the resulting stresses are checked to lie on the expected yield surface
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'max_principal_stress mid_principal_stress min_principal_stress stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '-2*x*t'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '-2*y*t'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '-0.4*z*(t+2*t*t)'
  [../]
[]
[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 3
    variable = yield_fcn
  [../]
[]
[Postprocessors]
  [./s_I]
    type = PointValue
    point = '0 0 0'
    variable = max_principal_stress
  [../]
  [./s_II]
    type = PointValue
    point = '0 0 0'
    variable = mid_principal_stress
  [../]
  [./s_III]
    type = PointValue
    point = '0 0 0'
    variable = min_principal_stress
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]
[UserObjects]
  [./ts]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./cs]
    type = TensorMechanicsHardeningConstant
    value = 1
  [../]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 1E6
  [../]
  [./ang]
    type = TensorMechanicsHardeningConstant
    value = 0.5
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '0 2.0'
  [../]
  [./tensile]
    type = CappedMohrCoulombStressUpdate
    tensile_strength = ts
    compressive_strength = cs
    cohesion = coh
    friction_angle = ang
    dilation_angle = ang
    smoothing_tol = 0.5
    yield_function_tol = 1.0E-12
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = tensile
    perform_finite_strain_rotations = false
  [../]
[]
[Executioner]
  end_time = 1
  dt = 0.1
  type = Transient
[]
[Outputs]
  file_base = small_deform17
  csv = true
[]
(modules/tensor_mechanics/test/tests/mean_cap_TC/small_deform3.i)
# apply nonuniform compression in x, y and z directions such that
# trial_stress(0, 0) = 2
# trial_stress(1, 1) = -8
# trial_stress(2, 2) = -10
# With compressive_strength = -1, the algorithm should return to trace(stress) = -1, or
# stress(0, 0) = 7
# stress(1, 1) = -3
# stress(2, 2) = -5
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '1E-7*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '-4E-7*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '-5E-7*z'
  [../]
[]
[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./f]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = f
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = f
  [../]
[]
[UserObjects]
  [./tensile_strength]
    type = TensorMechanicsHardeningConstant
    value = 2
  [../]
  [./compressive_strength]
    type = TensorMechanicsHardeningConstant
    value = -1
  [../]
  [./cap]
    type = TensorMechanicsPlasticMeanCapTC
    tensile_strength = tensile_strength
    compressive_strength = compressive_strength
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-9
    use_custom_returnMap = false
    use_custom_cto = false
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./strain]
    type = ComputeIncrementalSmallStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mean_cap]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = cap
  [../]
[]
[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform3
  exodus = false
  [./csv]
    type = CSV
  [../]
[]
(modules/porous_flow/test/tests/plastic_heating/compressive01.i)
# Tensile heating, using capped weak-plane plasticity
# z_disp(z=1) = -t
# totalstrain_zz = -t
# with C_ijkl = 0.5 0.25
# stress_zz = -t, but with compressive_strength = 1, stress_zz = max(-t, -1)
# so plasticstrain_zz = -(t - 1)
# heat_energy_rate = coeff * (t - 1)
# Heat capacity of rock = specific_heat_cap * density = 4
# So temperature of rock should be:
# (1 - porosity) * 4 * T = (1 - porosity) * coeff * (t - 1)
[Mesh]
  type = GeneratedMesh
  dim = 3
  xmin = -10
  xmax = 10
  zmin = 0
  zmax = 1
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  PorousFlowDictator = dictator
[]
[Variables]
  [temperature]
  []
[]
[Kernels]
  [energy_dot]
    type = PorousFlowEnergyTimeDerivative
    variable = temperature
  []
  [phe]
    type = PorousFlowPlasticHeatEnergy
    variable = temperature
  []
[]
[AuxVariables]
  [disp_x]
  []
  [disp_y]
  []
  [disp_z]
  []
[]
[AuxKernels]
  [disp_z]
    type = FunctionAux
    variable = disp_z
    function = '-z*t'
  []
[]
[UserObjects]
  [dictator]
    type = PorousFlowDictator
    porous_flow_vars = temperature
    number_fluid_phases = 0
    number_fluid_components = 0
  []
  [coh]
    type = TensorMechanicsHardeningConstant
    value = 100
  []
  [tanphi]
    type = TensorMechanicsHardeningConstant
    value = 1.0
  []
  [t_strength]
    type = TensorMechanicsHardeningConstant
    value = 1
  []
  [c_strength]
    type = TensorMechanicsHardeningConstant
    value = 1
  []
[]
[Materials]
  [rock_internal_energy]
    type = PorousFlowMatrixInternalEnergy
    specific_heat_capacity = 2
    density = 2
  []
  [temp]
    type = PorousFlowTemperature
    temperature = temperature
  []
  [porosity]
    type = PorousFlowPorosityConst
    porosity = 0.2
  []
  [phe]
    type = ComputePlasticHeatEnergy
  []
  [elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '0.5 0.25'
  []
  [strain]
    type = ComputeIncrementalSmallStrain
    displacements = 'disp_x disp_y disp_z'
  []
  [admissible]
    type = ComputeMultipleInelasticStress
    inelastic_models = mc
    perform_finite_strain_rotations = false
  []
  [mc]
    type = CappedWeakPlaneStressUpdate
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanphi
    tensile_strength = t_strength
    compressive_strength = c_strength
    tip_smoother = 0
    smoothing_tol = 1
    yield_function_tol = 1E-10
    perfect_guess = true
  []
[]
[Postprocessors]
  [temp]
    type = PointValue
    point = '0 0 0'
    variable = temperature
  []
[]
[Preconditioning]
  [andy]
    type = SMP
    full = true
    petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it'
    petsc_options_value = 'bcgs bjacobi 1E-15 1E-10 10000'
  []
[]
[Executioner]
  type = Transient
  solve_type = Newton
  dt = 1
  end_time = 10
[]
[Outputs]
  file_base = compressive01
  csv = true
[]
(modules/tensor_mechanics/test/tests/mohr_coulomb/small_deform_hard_cubic.i)
# apply uniform stretches in x, y and z directions.
# let cohesion = 10, cohesion_residual = 2, cohesion_limit = 0.0003
# With cohesion = C, friction_angle = 60deg, tip_smoother = 4, the
# algorithm should return to
# sigma_m = (C*Cos(60) - 4)/Sin(60)
# This allows checking of the relationship for C
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]
[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]
[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '1E-6*x*t'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '1E-6*y*t'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z*t'
  [../]
[]
[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mc_int]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./mc_int_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_internal_parameter
    variable = mc_int
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]
[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./internal]
    type = PointValue
    point = '0 0 0'
    variable = mc_int
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]
[UserObjects]
  [./mc_coh]
    type = TensorMechanicsHardeningCubic
    value_0 = 10
    value_residual = 2
    internal_limit = 0.0003
  [../]
  [./mc_phi]
    type = TensorMechanicsHardeningConstant
    value = 60
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = TensorMechanicsHardeningConstant
    value = 5
    convert_to_radians = true
  [../]
  [./mc]
    type = TensorMechanicsPlasticMohrCoulomb
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    mc_tip_smoother = 4
    mc_edge_smoother = 25
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-9
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = mc
    debug_fspb = crash
    debug_jac_at_stress = '10 1 2 1 10 3 2 3 10'
    debug_jac_at_pm = 1
    debug_jac_at_intnl = 1E-4
    debug_stress_change = 1E-5
    debug_pm_change = 1E-6
    debug_intnl_change = 1E-8
  [../]
[]
[Executioner]
  end_time = 10
  dt = 0.25
  type = Transient
[]
[Outputs]
  file_base = small_deform_hard_cubic
  exodus = false
  [./csv]
    type = CSV
    [../]
[]
(modules/tensor_mechanics/test/tests/capped_weak_plane/small_deform6.i)
# Plastic deformation, both tensile and shear failure
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz plastic_strain_xx plastic_strain_xy plastic_strain_xz plastic_strain_yy plastic_strain_yz plastic_strain_zz strain_xx strain_xy strain_xz strain_yy strain_yz strain_zz'
  [../]
[]
[BCs]
  [./bottomx]
    type = DirichletBC
    variable = disp_x
    boundary = back
    value = 0.0
  [../]
  [./bottomy]
    type = DirichletBC
    variable = disp_y
    boundary = back
    value = 0.0
  [../]
  [./bottomz]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0.0
  [../]
  [./topx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = front
    function = 'if(t<30,0.2*t,6)'
  [../]
  [./topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = front
    function = 'if(t<30,if(t<10,0,t),30-0.2*t)'
  [../]
  [./topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = 'if(t<15,3*t,45)+if(t<30,0,45-3*t)'
  [../]
[]
[AuxVariables]
  [./f_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_compressive]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./ls]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./f_shear]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f_shear
  [../]
  [./f_tensile]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f_tensile
  [../]
  [./f_compressive]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f_compressive
  [../]
  [./intnl_shear]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = intnl_shear
  [../]
  [./intnl_tensile]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 1
    variable = intnl_tensile
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./ls]
    type = MaterialRealAux
    property = plastic_linesearch_needed
    variable = ls
  [../]
[]
[Postprocessors]
  [./stress_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./stress_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./stress_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./stress_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./stress_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./stress_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./strainp_xx]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_xx
  [../]
  [./strainp_xy]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_xy
  [../]
  [./strainp_xz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_xz
  [../]
  [./strainp_yy]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_yy
  [../]
  [./strainp_yz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_yz
  [../]
  [./strainp_zz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_zz
  [../]
  [./straint_xx]
    type = PointValue
    point = '0 0 0'
    variable = strain_xx
  [../]
  [./straint_xy]
    type = PointValue
    point = '0 0 0'
    variable = strain_xy
  [../]
  [./straint_xz]
    type = PointValue
    point = '0 0 0'
    variable = strain_xz
  [../]
  [./straint_yy]
    type = PointValue
    point = '0 0 0'
    variable = strain_yy
  [../]
  [./straint_yz]
    type = PointValue
    point = '0 0 0'
    variable = strain_yz
  [../]
  [./straint_zz]
    type = PointValue
    point = '0 0 0'
    variable = strain_zz
  [../]
  [./f_shear]
    type = PointValue
    point = '0 0 0'
    variable = f_shear
  [../]
  [./f_tensile]
    type = PointValue
    point = '0 0 0'
    variable = f_tensile
  [../]
  [./f_compressive]
    type = PointValue
    point = '0 0 0'
    variable = f_compressive
  [../]
  [./intnl_shear]
    type = PointValue
    point = '0 0 0'
    variable = intnl_shear
  [../]
  [./intnl_tensile]
    type = PointValue
    point = '0 0 0'
    variable = intnl_tensile
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
  [./ls]
    type = PointValue
    point = '0 0 0'
    variable = ls
  [../]
[]
[UserObjects]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 20
  [../]
  [./tanphi]
    type = TensorMechanicsHardeningConstant
    value = 0.5
  [../]
  [./tanpsi]
    type = TensorMechanicsHardeningConstant
    value = 0.1
  [../]
  [./t_strength]
    type = TensorMechanicsHardeningConstant
    value = 20
  [../]
  [./c_strength]
    type = TensorMechanicsHardeningConstant
    value = 0
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '4 4'
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    inelastic_models = stress
    perform_finite_strain_rotations = false
  [../]
  [./stress]
    type = CappedWeakPlaneStressUpdate
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    tensile_strength = t_strength
    compressive_strength = c_strength
    max_NR_iterations = 20
    tip_smoother = 5
    smoothing_tol = 5
    yield_function_tol = 1E-10
    perfect_guess = false
  [../]
[]
[Executioner]
  end_time = 40
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform6
  csv = true
[]
(modules/tensor_mechanics/test/tests/capped_weak_plane/small_deform3.i)
# Plastic deformation, tensile failure
# With Young = 10, poisson=0.25 (Lame lambda=4, mu=4)
# applying the following
# deformation to the zmax surface of a unit cube:
# disp_x = 4*t
# disp_y = 3*t
# disp_z = t
# should yield trial stress:
# stress_zz = 12*t
# stress_zx = 16*t
# stress_zy = 12*t
# Use tensile strength = 6, we should return to stress_zz = 6,
# and stress_xx = stress_yy = 2*t up to t=1 when the system is completely
# plastic, so these stress components will not change
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz plastic_strain_xx plastic_strain_xy plastic_strain_xz plastic_strain_yy plastic_strain_yz plastic_strain_zz strain_xx strain_xy strain_xz strain_yy strain_yz strain_zz'
  [../]
[]
[BCs]
  [./bottomx]
    type = DirichletBC
    variable = disp_x
    boundary = back
    value = 0.0
  [../]
  [./bottomy]
    type = DirichletBC
    variable = disp_y
    boundary = back
    value = 0.0
  [../]
  [./bottomz]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0.0
  [../]
  [./topx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = front
    function = 4*t
  [../]
  [./topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = front
    function = 3*t
  [../]
  [./topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = t
  [../]
[]
[AuxVariables]
  [./f_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_compressive]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./ls]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]
[AuxKernels]
  [./f_shear]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f_shear
  [../]
  [./f_tensile]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f_tensile
  [../]
  [./f_compressive]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f_compressive
  [../]
  [./intnl_shear]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = intnl_shear
  [../]
  [./intnl_tensile]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 1
    variable = intnl_tensile
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./ls]
    type = MaterialRealAux
    property = plastic_linesearch_needed
    variable = ls
  [../]
[]
[Postprocessors]
  [./stress_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./stress_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./stress_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./stress_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./stress_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./stress_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./strainp_xx]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_xx
  [../]
  [./strainp_xy]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_xy
  [../]
  [./strainp_xz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_xz
  [../]
  [./strainp_yy]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_yy
  [../]
  [./strainp_yz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_yz
  [../]
  [./strainp_zz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_zz
  [../]
  [./straint_xx]
    type = PointValue
    point = '0 0 0'
    variable = strain_xx
  [../]
  [./straint_xy]
    type = PointValue
    point = '0 0 0'
    variable = strain_xy
  [../]
  [./straint_xz]
    type = PointValue
    point = '0 0 0'
    variable = strain_xz
  [../]
  [./straint_yy]
    type = PointValue
    point = '0 0 0'
    variable = strain_yy
  [../]
  [./straint_yz]
    type = PointValue
    point = '0 0 0'
    variable = strain_yz
  [../]
  [./straint_zz]
    type = PointValue
    point = '0 0 0'
    variable = strain_zz
  [../]
  [./f_shear]
    type = PointValue
    point = '0 0 0'
    variable = f_shear
  [../]
  [./f_tensile]
    type = PointValue
    point = '0 0 0'
    variable = f_tensile
  [../]
  [./f_compressive]
    type = PointValue
    point = '0 0 0'
    variable = f_compressive
  [../]
  [./intnl_shear]
    type = PointValue
    point = '0 0 0'
    variable = intnl_shear
  [../]
  [./intnl_tensile]
    type = PointValue
    point = '0 0 0'
    variable = intnl_tensile
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
  [./ls]
    type = PointValue
    point = '0 0 0'
    variable = ls
  [../]
[]
[UserObjects]
  [./coh]
    type = TensorMechanicsHardeningConstant
    value = 80
  [../]
  [./tanphi]
    type = TensorMechanicsHardeningConstant
    value = 0.5
  [../]
  [./tanpsi]
    type = TensorMechanicsHardeningConstant
    value = 0.1111077
  [../]
  [./t_strength]
    type = TensorMechanicsHardeningConstant
    value = 6
  [../]
  [./c_strength]
    type = TensorMechanicsHardeningConstant
    value = 40
  [../]
[]
[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '4 4'
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    inelastic_models = stress
    perform_finite_strain_rotations = false
  [../]
  [./stress]
    type = CappedWeakPlaneStressUpdate
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    tensile_strength = t_strength
    compressive_strength = c_strength
    tip_smoother = 0
    smoothing_tol = 0
    yield_function_tol = 1E-5
  [../]
[]
[Executioner]
  end_time = 2
  dt = 1
  type = Transient
[]
[Outputs]
  file_base = small_deform3
  csv = true
[]