ComputeElasticityTensorConstantRotationCP

Compute an elasticity tensor for crystal plasticity, formulated in the reference frame, with constant Euler angles.

Description

The material ComputeElasticityTensorConstantRotationCP is used to create a constant elasticity tensor for crystal plasticity simulations which refer only to the reference configuration. As such, this class only rotates the elastic tensor once, during the initial setup step.

This material builds an orthotropic elasticity tensor using the fill_method symmetric9 from ComputeElasticityTensor.

warning:Crystal Plasticity Simulations use Active Rotation

The rotation matrix used in this class,ComputeElasticityTensorConstantRotationCP, is the transpose of the rotation matrix created from the Bunge Euler angles in the base class, ComputeElasticityTensor. This difference in the rotation matrix is because of the active rotation convention used in crystal plasticity simulations.

The fill method symmetric9 is appropriate for materials with three orthotropic planes of symmetry (Malvern, 1969), and is used for simulations of anistropic materials such as cubic crystals. The engineering elasticity tensor notation for an orthotropic material is given in Eq. (1): $(1)var element = document.getElementById("moose-equation-6db092e0-e23f-45a3-8f5f-4fed04daa71d");katex.render(" C_{ijkl} = \\begin{bmatrix} C_{11} & C_{12} & C_{13} & 0 & 0 & 0 \\\\ C_{12} & C_{22} & C_{23} & 0 & 0 & 0 \\\\ C_{13} & C_{23} & C_{33} & 0 & 0 & 0 \\\\ 0 & 0 & 0 & C_{44} & 0 & 0 \\\\ 0 & 0 & 0 & 0 & C_{55} & 0 \\\\ 0 & 0 & 0 & 0 & 0 & C_{66} \\end{bmatrix}", element, {displayMode:true,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$

Rotation Tensor Conventions

The Euler angle convention used in ComputeElasticityTensorConstantRotationCP is the $var element = document.getElementById("moose-equation-0630ea0b-ffe7-47bd-a23c-e7f099f479b0");katex.render("z", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ - $var element = document.getElementById("moose-equation-01c26874-72b1-46b2-93d9-21f6ad791e0a");katex.render("x'", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ - $var element = document.getElementById("moose-equation-530dc857-80e7-4629-94d5-64c5c989b868");katex.render("z'", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ (3-1-3) convention. The Euler angles arguments are expected in degrees, not radians, and are denoted as $var element = document.getElementById("moose-equation-c114c69d-613c-4aa6-8521-270dd45e27f3");katex.render("\\phi_1", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ , $var element = document.getElementById("moose-equation-18e90893-0bc4-45cf-84ef-1d1930afe895");katex.render("\\Phi", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ , and $var element = document.getElementById("moose-equation-251d0c54-a1ee-46ae-80b5-f8eabce457bf");katex.render("\\phi_2", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ , corresponding to the axis rotations. The rotation tensor, $var element = document.getElementById("moose-equation-fc5909f8-d599-4d05-8f1a-0b9defb67e3c");katex.render("R", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ , is calculated from the current Euler angles at each timestep as shown in Eq. (2). $(2)var element = document.getElementById("moose-equation-19b2d570-3c0c-4835-b88a-4b1b8b7a7d72");katex.render(" \\begin{aligned} R_{11} & = cos(\\phi_1)cos(\\phi_2) - cos(\\Phi)sin(\\phi_1)sin(\\phi_2) \\\\ R_{12} & = -cos(\\phi_1)sin(\\phi_2) - cos(\\Phi)cos(\\phi_2)sin(\\phi_1) \\\\ R_{13} & = sin(\\phi_1)sin(\\Phi) \\\\ R_{21} & = cos(\\phi_2)sin(\\phi_1) + cos(\\phi_1)cos(\\Phi)sin(\\phi_2) \\\\ R_{22} & = -sin(\\phi_1)sin(\\phi_2) + cos(\\phi_1)cos(\\Phi)cos(\\phi_2) \\\\ R_{23} & = -cos(\\phi_1)sin(\\Phi) \\\\ R_{31} & = sin(\\Phi) sin(\\phi_2) \\\\ R_{32} & = cos(\\phi_2) sin(\\Phi) \\\\ R_{33} & = cos(\\Phi) \\end{aligned}", element, {displayMode:true,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ The elasticity tensor is then rotated with Eq. (3) $(3)var element = document.getElementById("moose-equation-15a3bc47-decf-4e91-9de9-3095f6b621b1");katex.render(" C'_{ijkl} = R^T_{im} R^T_{jn} R^T_{ko} R^T_{lp} C_{mnop}", element, {displayMode:true,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ at the beginning of the simulation. This calculation is only performed once.

The crystal plasticity materials, including ComputeElasticityTensorConstantRotationCP employ an active rotation: the crystal system is rotated into the sample (loading) coordinate system. Generally the Bunge Euler angles are used to describe a passive rotation: rotating the sample coordinate system into the crystal coordinate system. As a result, the rotation tensor applied is the transpose of the rotation tensor given in Eq. (2) as noted in Eq. (3).

Example Input File Syntax

[./elasticity_tensor]
  type = ComputeElasticityTensorConstantRotationCP
  C_ijkl = '1.684e5 1.214e5 1.214e5 1.684e5 1.214e5 1.684e5 0.754e5 0.754e5 0.754e5'
  fill_method = symmetric9
[../]

Input Parameters

C_ijklStiffness tensor for material
C++ Type:std::vector<double>
Controllable:No
Description:Stiffness tensor for material

Required Parameters

base_nameOptional parameter that allows the user to define multiple mechanics material systems on the same block, i.e. for multiple phases
C++ Type:std::string
Controllable:No
Description:Optional parameter that allows the user to define multiple mechanics material systems on the same block, i.e. for multiple phases
blockThe list of blocks (ids or names) that this object will be applied
C++ Type:std::vector<SubdomainName>
Controllable:No
Description:The list of blocks (ids or names) that this object will be applied
boundaryThe list of boundaries (ids or names) from the mesh where this boundary condition applies
C++ Type:std::vector<BoundaryName>
Controllable:No
Description:The list of boundaries (ids or names) from the mesh where this boundary condition applies
computeTrueWhen false, MOOSE will not call compute methods on this material. The user must call computeProperties() after retrieving the MaterialBase via MaterialBasePropertyInterface::getMaterialBase(). Non-computed MaterialBases are not sorted for dependencies.
Default:True
C++ Type:bool
Controllable:No
Description:When false, MOOSE will not call compute methods on this material. The user must call computeProperties() after retrieving the MaterialBase via MaterialBasePropertyInterface::getMaterialBase(). Non-computed MaterialBases are not sorted for dependencies.
constant_onNONEWhen ELEMENT, MOOSE will only call computeQpProperties() for the 0th quadrature point, and then copy that value to the other qps.When SUBDOMAIN, MOOSE will only call computeQpProperties() for the 0th quadrature point, and then copy that value to the other qps. Evaluations on element qps will be skipped
Default:NONE
C++ Type:MooseEnum
Options:NONE, ELEMENT, SUBDOMAIN
Controllable:No
Description:When ELEMENT, MOOSE will only call computeQpProperties() for the 0th quadrature point, and then copy that value to the other qps.When SUBDOMAIN, MOOSE will only call computeQpProperties() for the 0th quadrature point, and then copy that value to the other qps. Evaluations on element qps will be skipped
declare_suffixAn optional suffix parameter that can be appended to any declared properties. The suffix will be prepended with a '_' character.
C++ Type:MaterialPropertyName
Controllable:No
Description:An optional suffix parameter that can be appended to any declared properties. The suffix will be prepended with a '_' character.
elasticity_tensor_prefactorOptional function to use as a scalar prefactor on the elasticity tensor.
C++ Type:FunctionName
Controllable:No
Description:Optional function to use as a scalar prefactor on the elasticity tensor.
euler_angle_10Euler angle in direction 1
Default:0
C++ Type:double
Controllable:No
Description:Euler angle in direction 1
euler_angle_20Euler angle in direction 2
Default:0
C++ Type:double
Controllable:No
Description:Euler angle in direction 2
euler_angle_30Euler angle in direction 3
Default:0
C++ Type:double
Controllable:No
Description:Euler angle in direction 3
fill_methodsymmetric9The fill method
Default:symmetric9
C++ Type:MooseEnum
Options:antisymmetric, symmetric9, symmetric21, general_isotropic, symmetric_isotropic, symmetric_isotropic_E_nu, antisymmetric_isotropic, axisymmetric_rz, general, principal, orthotropic
Controllable:No
Description:The fill method
prop_getter_suffixAn optional suffix parameter that can be appended to any attempt to retrieve/get material properties. The suffix will be prepended with a '_' character.
C++ Type:MaterialPropertyName
Controllable:No
Description:An optional suffix parameter that can be appended to any attempt to retrieve/get material properties. The suffix will be prepended with a '_' character.
rotation_matrixRotation matrix to apply to elasticity tensor.
C++ Type:libMesh::TensorValue<double>
Controllable:No
Description:Rotation matrix to apply to elasticity tensor.

Optional Parameters

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

Advanced Parameters

output_propertiesList of material properties, from this material, to output (outputs must also be defined to an output type)
C++ Type:std::vector<std::string>
Controllable:No
Description:List of material properties, from this material, to output (outputs must also be defined to an output type)
outputsnone Vector of output names were you would like to restrict the output of variables(s) associated with this object
Default:none
C++ Type:std::vector<OutputName>
Controllable:No
Description:Vector of output names were you would like to restrict the output of variables(s) associated with this object

Outputs Parameters

Input Files

(modules/tensor_mechanics/test/tests/crystal_plasticity/hcp_single_crystal/update_method_hcp_basal_active.i)
(modules/tensor_mechanics/test/tests/crystal_plasticity/stress_update_material_based/thermal_eigenstrain_test.i)
(modules/tensor_mechanics/test/tests/crystal_plasticity/stress_update_material_based/exception.i)
(modules/tensor_mechanics/test/tests/crystal_plasticity/stress_update_material_based/multiple_eigenstrains_test.i)
(modules/tensor_mechanics/test/tests/crystal_plasticity/twinning/combined_twinning_slip_error.i)
(modules/tensor_mechanics/test/tests/crystal_plasticity/hcp_twinning/demonstration_combined_hcp_slip_twins.i)
(modules/tensor_mechanics/test/tests/crystal_plasticity/stress_update_material_based/update_method_test.i)
(modules/tensor_mechanics/test/tests/crystal_plasticity/hcp_single_crystal/update_method_hcp_aprismatic_capyramidal.i)
(modules/tensor_mechanics/test/tests/crystal_plasticity/stress_update_material_based/linesearch.i)
(modules/tensor_mechanics/test/tests/crystal_plasticity/hcp_single_crystal/update_method_hcp_aprismatic_active.i)
(modules/tensor_mechanics/test/tests/crystal_plasticity/hcp_single_crystal/update_method_hcp_capyramidal_active.i)
(modules/tensor_mechanics/test/tests/crystal_plasticity/stress_update_material_based/update_euler_angle.i)
(modules/tensor_mechanics/test/tests/crystal_plasticity/twinning/combined_twinning_slip_111tension.i)
(modules/tensor_mechanics/test/tests/crystal_plasticity/twinning/combined_twinning_slip_100compression.i)
(modules/tensor_mechanics/test/tests/crystal_plasticity/stress_update_material_based/use_substep_dt.i)
(modules/tensor_mechanics/test/tests/crystal_plasticity/stress_update_material_based/substep.i)
(modules/tensor_mechanics/test/tests/crystal_plasticity/stress_update_material_based/update_method_011orientation.i)
(modules/tensor_mechanics/test/tests/nodal_patch_recovery/patch_recovery.i)
(modules/tensor_mechanics/test/tests/crystal_plasticity/hcp_single_crystal/update_method_hcp_representative_slip_systems.i)
(modules/tensor_mechanics/test/tests/crystal_plasticity/hcp_single_crystal/update_method_hcp_convergence_issue_flag.i)
(modules/tensor_mechanics/test/tests/crystal_plasticity/twinning/non_coplanar_twin_hardening.i)
(modules/tensor_mechanics/test/tests/crystal_plasticity/twinning/check_direction_twin_propagation.i)
(modules/tensor_mechanics/test/tests/crystal_plasticity/hcp_twinning/modified_kalidindi_for_hcp.i)
(modules/tensor_mechanics/test/tests/crystal_plasticity/twinning/only_twinning_fcc.i)
(modules/tensor_mechanics/test/tests/crystal_plasticity/hcp_single_crystal/update_method_hcp_no_negative_aprismatic.i)
(modules/tensor_mechanics/test/tests/crystal_plasticity/twinning/upper_twin_fraction_limit.i)
(modules/tensor_mechanics/test/tests/crystal_plasticity/twinning/coplanar_twin_hardening.i)
(modules/tensor_mechanics/test/tests/crystal_plasticity/stress_update_material_based/patch_recovery.i)
(modules/tensor_mechanics/test/tests/crystal_plasticity/hcp_single_crystal/update_method_hcp_no_substructure.i)

References

Lawrence E Malvern. Introduction to the Mechanics of a Continuous Medium. Prentice-Hall, 1969.

(modules/tensor_mechanics/test/tests/crystal_plasticity/stress_update_material_based/update_method_test.i)

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

[Mesh]
  type = GeneratedMesh
  dim = 3
  elem_type = HEX8
[]

[AuxVariables]
  [./pk2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./fp_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./e_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./gss]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./slip_increment]
   order = CONSTANT
   family = MONOMIAL
  [../]
[]

[Modules/TensorMechanics/Master/all]
  strain = FINITE
  add_variables = true
  generate_output = stress_zz
[]

[AuxKernels]
  [./pk2]
   type = RankTwoAux
   variable = pk2
   rank_two_tensor = second_piola_kirchhoff_stress
   index_j = 2
   index_i = 2
   execute_on = timestep_end
  [../]
  [./fp_zz]
    type = RankTwoAux
    variable = fp_zz
    rank_two_tensor = plastic_deformation_gradient
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  [../]
  [./e_zz]
    type = RankTwoAux
    variable = e_zz
    rank_two_tensor = total_lagrangian_strain
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  [../]
  [./gss]
   type = MaterialStdVectorAux
   variable = gss
   property = slip_resistance
   index = 0
   execute_on = timestep_end
  [../]
  [./slip_inc]
   type = MaterialStdVectorAux
   variable = slip_increment
   property = slip_increment
   index = 0
   execute_on = timestep_end
  [../]
[]

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

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensorConstantRotationCP
    C_ijkl = '1.684e5 1.214e5 1.214e5 1.684e5 1.214e5 1.684e5 0.754e5 0.754e5 0.754e5'
    fill_method = symmetric9
  [../]
  [./stress]
    type = ComputeMultipleCrystalPlasticityStress
    crystal_plasticity_models = 'trial_xtalpl'
    tan_mod_type = exact
  [../]
  [./trial_xtalpl]
    type = CrystalPlasticityKalidindiUpdate
    number_slip_systems = 12
    slip_sys_file_name = input_slip_sys.txt
  [../]
[]

[Postprocessors]
  [./stress_zz]
    type = ElementAverageValue
    variable = stress_zz
  [../]
  [./pk2]
   type = ElementAverageValue
   variable = pk2
  [../]
  [./fp_zz]
    type = ElementAverageValue
    variable = fp_zz
  [../]
  [./e_zz]
    type = ElementAverageValue
    variable = e_zz
  [../]
  [./gss]
    type = ElementAverageValue
    variable = gss
  [../]
  [./slip_increment]
   type = ElementAverageValue
   variable = slip_increment
  [../]
[]

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

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

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

  dt = 0.05
  dtmin = 0.01
  dtmax = 10.0
  num_steps = 10
[]

[Outputs]
  exodus = true
[]

(modules/tensor_mechanics/test/tests/crystal_plasticity/hcp_single_crystal/update_method_hcp_basal_active.i)

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

[Mesh]
  [cube]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 2
    ny = 2
    nz = 2
    elem_type = HEX8
  []
[]

[AuxVariables]
  [temperature]
    initial_condition = 300
  []
  [pk2_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [fp_xx]
    order = CONSTANT
    family = MONOMIAL
  []
  [fp_yy]
    order = CONSTANT
    family = MONOMIAL
  []
  [fp_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [e_xx]
    order = CONSTANT
    family = MONOMIAL
  []
  [e_yy]
    order = CONSTANT
    family = MONOMIAL
  []
  [e_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_0]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_1]
    order = CONSTANT
    family = MONOMIAL
  []
  [resolved_shear_stress_0]
    order = CONSTANT
    family = MONOMIAL
  []
  [resolved_shear_stress_1]
    order = CONSTANT
    family = MONOMIAL
  []
  [resolved_shear_stress_2]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_resistance_0]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_resistance_1]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_resistance_2]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[Modules/TensorMechanics/Master/all]
  strain = FINITE
  add_variables = true
  generate_output = stress_zz
[]

[AuxKernels]
  [pk2_zz]
    type = RankTwoAux
    variable = pk2_zz
    rank_two_tensor = second_piola_kirchhoff_stress
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  []
  [fp_xx]
    type = RankTwoAux
    variable = fp_xx
    rank_two_tensor = plastic_deformation_gradient
    index_j = 0
    index_i = 0
    execute_on = timestep_end
  []
  [fp_yy]
    type = RankTwoAux
    variable = fp_yy
    rank_two_tensor = plastic_deformation_gradient
    index_j = 1
    index_i = 1
    execute_on = timestep_end
  []
  [fp_zz]
    type = RankTwoAux
    variable = fp_zz
    rank_two_tensor = plastic_deformation_gradient
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  []
  [e_xx]
    type = RankTwoAux
    variable = e_xx
    rank_two_tensor = total_lagrangian_strain
    index_j = 0
    index_i = 0
    execute_on = timestep_end
  []
  [e_yy]
    type = RankTwoAux
    variable = e_yy
    rank_two_tensor = total_lagrangian_strain
    index_j = 1
    index_i = 1
    execute_on = timestep_end
  []
  [e_zz]
    type = RankTwoAux
    variable = e_zz
    rank_two_tensor = total_lagrangian_strain
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  []
  [slip_increment_0]
   type = MaterialStdVectorAux
   variable = slip_increment_0
   property = slip_increment
   index = 0
   execute_on = timestep_end
  []
  [slip_increment_1]
   type = MaterialStdVectorAux
   variable = slip_increment_1
   property = slip_increment
   index = 1
   execute_on = timestep_end
  []
  [tau_0]
    type = MaterialStdVectorAux
    variable = resolved_shear_stress_0
    property = applied_shear_stress
    index = 0
    execute_on = timestep_end
  []
  [tau_1]
    type = MaterialStdVectorAux
    variable = resolved_shear_stress_1
    property = applied_shear_stress
    index = 1
    execute_on = timestep_end
  []
  [tau_2]
    type = MaterialStdVectorAux
    variable = resolved_shear_stress_2
    property = applied_shear_stress
    index = 2
    execute_on = timestep_end
  []
  [slip_resistance_0]
    type = MaterialStdVectorAux
    variable = slip_resistance_0
    property = slip_resistance
    index = 0
    execute_on = timestep_end
  []
  [slip_resistance_1]
    type = MaterialStdVectorAux
    variable = slip_resistance_1
    property = slip_resistance
    index = 1
    execute_on = timestep_end
  []
  [slip_resistance_2]
    type = MaterialStdVectorAux
    variable = slip_resistance_2
    property = slip_resistance
    index = 2
    execute_on = timestep_end
  []
[]

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

[Materials]
  [elasticity_tensor]
    type = ComputeElasticityTensorConstantRotationCP
    C_ijkl = '1.622e5 9.18e4 6.88e4 1.622e5 6.88e4 1.805e5 4.67e4 4.67e4 4.67e4' #alpha Ti, Alankar et al. Acta Materialia 59 (2011) 7003-7009
    fill_method = symmetric9
    # orient in approximately [011] to activate the basal slip planes
    euler_angle_1 = 120.0
    euler_angle_2 = 125.264
    euler_angle_3 =  45.0
  []
  [stress]
    type = ComputeMultipleCrystalPlasticityStress
    crystal_plasticity_models = 'trial_xtalpl'
    tan_mod_type = exact
  []
  [trial_xtalpl]
    type = CrystalPlasticityHCPDislocationSlipBeyerleinUpdate
    number_slip_systems = 3
    slip_sys_file_name = hcp_basal_slip_sys.txt
    unit_cell_dimension = '2.934e-7 2.934e-7 4.657e-7' #Ti, in mm, https://materialsproject.org/materials/mp-46/
    temperature = temperature
    initial_forest_dislocation_density = 15.0e5
    initial_substructure_density = 1.0e3
    slip_system_modes = 1
    number_slip_systems_per_mode = '3'
    lattice_friction_per_mode = '98' #Knezevic et al MSEA 654 (2013)
    effective_shear_modulus_per_mode = '4.7e4' #Ti, in MPa, https://materialsproject.org/materials/mp-46/
    burgers_vector_per_mode = '2.934e-7' #Ti, in mm, https://materialsproject.org/materials/mp-46/
    slip_generation_coefficient_per_mode = '5.7e6' #from Knezevic et al. 2015 AM
    normalized_slip_activiation_energy_per_mode = '0.002' #from Knezevic et al. 2015 AM
    slip_energy_proportionality_factor_per_mode = '700' ##from Knezevic et al. 2015 AM
    substructure_rate_coefficient_per_mode = '355' #from Capolungo et al MSEA (2009)
    applied_strain_rate = 0.001
    gamma_o = 1.0e-3
    Hall_Petch_like_constant_per_mode = '0.2' #Estimated to match graph in Capolungo et al MSEA (2009), Figure 2
    grain_size = 20.0e-3 #20 microns, Beyerlein and Tome IJP (2008)
  []
[]

[Postprocessors]
  [stress_zz]
    type = ElementAverageValue
    variable = stress_zz
  []
  [pk2_zz]
    type = ElementAverageValue
    variable = pk2_zz
  []
  [fp_xx]
    type = ElementAverageValue
    variable = fp_xx
  []
  [fp_yy]
    type = ElementAverageValue
    variable = fp_yy
  []
  [fp_zz]
    type = ElementAverageValue
    variable = fp_zz
  []
  [e_xx]
    type = ElementAverageValue
    variable = e_xx
  []
  [e_yy]
    type = ElementAverageValue
    variable = e_yy
  []
  [e_zz]
    type = ElementAverageValue
    variable = e_zz
  []
  [slip_increment_0]
    type = ElementAverageValue
    variable = slip_increment_0
  []
  [slip_increment_1]
    type = ElementAverageValue
    variable = slip_increment_1
  []
  [tau_0]
    type = ElementAverageValue
    variable = resolved_shear_stress_0
  []
  [tau_1]
    type = ElementAverageValue
    variable = resolved_shear_stress_1
  []
  [tau_2]
    type = ElementAverageValue
    variable = resolved_shear_stress_2
  []
  [slip_resistance_0]
    type = ElementAverageValue
    variable = slip_resistance_0
  []
  [slip_resistance_1]
    type = ElementAverageValue
    variable = slip_resistance_1
  []
  [slip_resistance_2]
    type = ElementAverageValue
    variable = slip_resistance_2
  []
[]

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

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

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

  dt = 0.5
  dtmin = 1.0e-2
  dtmax = 10.0
  end_time = 2.5
[]

[Outputs]
  csv = true
[]

(modules/tensor_mechanics/test/tests/crystal_plasticity/stress_update_material_based/thermal_eigenstrain_test.i)

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

[Mesh]
  type = GeneratedMesh
  dim = 3
  elem_type = HEX8
[]

[AuxVariables]
  [temperature]
    order = FIRST
    family = LAGRANGE
  []
  [eth_xx]
    order = CONSTANT
    family = MONOMIAL
  []
  [eth_yy]
    order = CONSTANT
    family = MONOMIAL
  []
  [eth_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [fth_xx]
    order = CONSTANT
    family = MONOMIAL
  []
  [fth_yy]
    order = CONSTANT
    family = MONOMIAL
  []
  [fth_zz]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[Modules/TensorMechanics/Master/all]
  strain = FINITE
  add_variables = true
  generate_output = stress_zz
[]

[AuxKernels]
  [temperature]
    type = FunctionAux
    variable = temperature
    function = '300+400*t' # temperature increases at a constant rate
    execute_on = timestep_begin
  []
  [eth_xx]
    type = RankTwoAux
    variable = eth_xx
    rank_two_tensor = thermal_eigenstrain
    index_j = 0
    index_i = 0
    execute_on = timestep_end
  []
  [eth_yy]
    type = RankTwoAux
    variable = eth_yy
    rank_two_tensor = thermal_eigenstrain
    index_j = 1
    index_i = 1
    execute_on = timestep_end
  []
  [eth_zz]
    type = RankTwoAux
    variable = eth_zz
    rank_two_tensor = thermal_eigenstrain
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  []
  [fth_xx]
    type = RankTwoAux
    variable = fth_xx
    rank_two_tensor = thermal_deformation_gradient
    index_j = 0
    index_i = 0
    execute_on = timestep_end
  []
  [fth_yy]
    type = RankTwoAux
    variable = fth_yy
    rank_two_tensor = thermal_deformation_gradient
    index_j = 1
    index_i = 1
    execute_on = timestep_end
  []
  [fth_zz]
    type = RankTwoAux
    variable = fth_zz
    rank_two_tensor = thermal_deformation_gradient
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  []
[]

[BCs]
  [symmy]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0
  []
  [symmx]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0
  []
  [symmz]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0
  []
  [tdisp]
    type = DirichletBC
    variable = disp_z
    boundary = front
    value = 0
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeElasticityTensorConstantRotationCP
    C_ijkl = '1.684e5 1.214e5 1.214e5 1.684e5 1.214e5 1.684e5 0.754e5 0.754e5 0.754e5'
    fill_method = symmetric9
  []
  [stress]
    type = ComputeMultipleCrystalPlasticityStress
    crystal_plasticity_models = 'trial_xtalpl'
    eigenstrain_names = thermal_eigenstrain
    tan_mod_type = exact
    maximum_substep_iteration = 5
  []
  [trial_xtalpl]
    type = CrystalPlasticityKalidindiUpdate
    number_slip_systems = 12
    slip_sys_file_name = input_slip_sys.txt
  []
  [thermal_eigenstrain]
    type = ComputeCrystalPlasticityThermalEigenstrain
    eigenstrain_name = thermal_eigenstrain
    deformation_gradient_name = thermal_deformation_gradient
    temperature = temperature
    thermal_expansion_coefficients = '1e-05 2e-05 4e-05' # thermal expansion coefficients along three directions
  []
[]

[Postprocessors]
  [stress_zz]
    type = ElementAverageValue
    variable = stress_zz
  []
  [eth_xx]
    type = ElementAverageValue
    variable = eth_xx
  []
  [eth_yy]
    type = ElementAverageValue
    variable = eth_yy
  []
  [eth_zz]
    type = ElementAverageValue
    variable = eth_zz
  []
  [fth_xx]
    type = ElementAverageValue
    variable = fth_xx
  []
  [fth_yy]
    type = ElementAverageValue
    variable = fth_yy
  []
  [fth_zz]
    type = ElementAverageValue
    variable = fth_zz
  []
  [temperature]
    type = ElementAverageValue
    variable = temperature
  []
[]

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

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

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

  dt = 0.1
  dtmin = 1e-4
  end_time = 10
[]

[Outputs]
  csv = true
  [console]
    type = Console
    max_rows = 5
  []
[]

(modules/tensor_mechanics/test/tests/crystal_plasticity/stress_update_material_based/exception.i)

[GlobalParams]
  displacements = 'ux uy uz'
[]

[Mesh]
  type = GeneratedMesh
  dim = 3
  elem_type = HEX8
[]

[AuxVariables]
  [./pk2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./fp_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./rotout]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./e_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./gss]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./slip_increment]
   order = CONSTANT
   family = MONOMIAL
  [../]
[]

[Modules/TensorMechanics/Master/all]
  strain = FINITE
  add_variables = true
  generate_output = stress_zz
[]

[AuxKernels]
  [./fp_zz]
    type = RankTwoAux
    variable = fp_zz
    rank_two_tensor = plastic_deformation_gradient
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  [../]
  [./pk2]
   type = RankTwoAux
   variable = pk2
   rank_two_tensor = second_piola_kirchhoff_stress
   index_j = 2
   index_i = 2
   execute_on = timestep_end
  [../]
  [./e_zz]
    type = RankTwoAux
    variable = e_zz
    rank_two_tensor = total_lagrangian_strain
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  [../]
  [./gss]
    type = MaterialStdVectorAux
    variable = gss
    property = slip_resistance
    index = 0
    execute_on = timestep_end
  [../]
  [./slip_inc]
   type = MaterialStdVectorAux
   variable = slip_increment
   property = slip_increment
   index = 0
   execute_on = timestep_end
  [../]
[]

[BCs]
  [./symmy]
    type = DirichletBC
    variable = uy
    boundary = bottom
    value = 0
  [../]
  [./symmx]
    type = DirichletBC
    variable = ux
    boundary = left
    value = 0
  [../]
  [./symmz]
    type = DirichletBC
    variable = uz
    boundary = back
    value = 0
  [../]
  [./tdisp]
    type = FunctionDirichletBC
    variable = uz
    boundary = front
    function = '0.1*t'
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensorConstantRotationCP
    C_ijkl = '1.684e5 1.214e5 1.214e5 1.684e5 1.214e5 1.684e5 0.754e5 0.754e5 0.754e5'
    fill_method = symmetric9
  [../]
  [./stress]
    type = ComputeMultipleCrystalPlasticityStress
    crystal_plasticity_models = 'trial_xtalpl'
    tan_mod_type = exact
    maximum_substep_iteration = 1
  [../]
  [./trial_xtalpl]
    type = CrystalPlasticityKalidindiUpdate
    number_slip_systems = 12
    slip_sys_file_name = input_slip_sys.txt
  [../]
[]

[Postprocessors]
  [./stress_zz]
    type = ElementAverageValue
    variable = stress_zz
  [../]
  [./pk2]
   type = ElementAverageValue
   variable = pk2
  [../]
  [./fp_zz]
    type = ElementAverageValue
    variable = fp_zz
  [../]
  [./e_zz]
    type = ElementAverageValue
    variable = e_zz
  [../]
  [./gss]
    type = ElementAverageValue
    variable = gss
  [../]
  [./slip_increment]
   type = ElementAverageValue
   variable = slip_increment
  [../]
[]

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

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

  petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -ksp_type -ksp_gmres_restart'
  petsc_options_value = ' asm      2              lu            gmres     200'
  nl_abs_tol = 1e-10
  nl_rel_step_tol = 1e-10
  dtmax = 10.0
  nl_rel_tol = 1e-10
  end_time = 1
  dtmin = 0.01
  num_steps = 10
  nl_abs_step_tol = 1e-10
[]

[Outputs]
  exodus = true
[]

(modules/tensor_mechanics/test/tests/crystal_plasticity/stress_update_material_based/multiple_eigenstrains_test.i)

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

[Mesh]
  type = GeneratedMesh
  dim = 3
  elem_type = HEX8
[]

[AuxVariables]
  [temperature]
    order = FIRST
    family = LAGRANGE
  []
  [f1_xx]
    order = CONSTANT
    family = MONOMIAL
  []
  [f1_yy]
    order = CONSTANT
    family = MONOMIAL
  []
  [f1_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [f2_xx]
    order = CONSTANT
    family = MONOMIAL
  []
  [f2_yy]
    order = CONSTANT
    family = MONOMIAL
  []
  [f2_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [feig_xx]
    order = CONSTANT
    family = MONOMIAL
  []
  [feig_yy]
    order = CONSTANT
    family = MONOMIAL
  []
  [feig_zz]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[Modules/TensorMechanics/Master/all]
  strain = FINITE
  add_variables = true
  generate_output = stress_zz
[]

[AuxKernels]
  [temperature]
    type = FunctionAux
    variable = temperature
    function = '300+400*t' # temperature increases at a constant rate
    execute_on = timestep_begin
  []
  [f1_xx]
    type = RankTwoAux
    variable = f1_xx
    rank_two_tensor = thermal_deformation_gradient_1
    index_j = 0
    index_i = 0
    execute_on = timestep_end
  []
  [f1_yy]
    type = RankTwoAux
    variable = f1_yy
    rank_two_tensor = thermal_deformation_gradient_1
    index_j = 1
    index_i = 1
    execute_on = timestep_end
  []
  [f1_zz]
    type = RankTwoAux
    variable = f1_zz
    rank_two_tensor = thermal_deformation_gradient_1
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  []
  [f2_xx]
    type = RankTwoAux
    variable = f2_xx
    rank_two_tensor = thermal_deformation_gradient_2
    index_j = 0
    index_i = 0
    execute_on = timestep_end
  []
  [f2_yy]
    type = RankTwoAux
    variable = f2_yy
    rank_two_tensor = thermal_deformation_gradient_2
    index_j = 1
    index_i = 1
    execute_on = timestep_end
  []
  [f2_zz]
    type = RankTwoAux
    variable = f2_zz
    rank_two_tensor = thermal_deformation_gradient_2
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  []
  [feig_xx]
    type = RankTwoAux
    variable = feig_xx
    rank_two_tensor = eigenstrain_deformation_gradient
    index_j = 0
    index_i = 0
    execute_on = timestep_end
  []
  [feig_yy]
    type = RankTwoAux
    variable = feig_yy
    rank_two_tensor = eigenstrain_deformation_gradient
    index_j = 1
    index_i = 1
    execute_on = timestep_end
  []
  [feig_zz]
    type = RankTwoAux
    variable = feig_zz
    rank_two_tensor = eigenstrain_deformation_gradient
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  []
[]

[BCs]
  [symmy]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0
  []
  [symmx]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0
  []
  [symmz]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0
  []
  [tdisp]
    type = DirichletBC
    variable = disp_z
    boundary = front
    value = 0
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeElasticityTensorConstantRotationCP
    C_ijkl = '1.684e5 1.214e5 1.214e5 1.684e5 1.214e5 1.684e5 0.754e5 0.754e5 0.754e5'
    fill_method = symmetric9
  []
  [stress]
    type = ComputeMultipleCrystalPlasticityStress
    crystal_plasticity_models = 'trial_xtalpl'
    eigenstrain_names = "thermal_eigenstrain_1 thermal_eigenstrain_2"
    tan_mod_type = exact
    maximum_substep_iteration = 5
  []
  [trial_xtalpl]
    type = CrystalPlasticityKalidindiUpdate
    number_slip_systems = 12
    slip_sys_file_name = input_slip_sys.txt
  []
  [thermal_eigenstrain_1]
    type = ComputeCrystalPlasticityThermalEigenstrain
    eigenstrain_name = thermal_eigenstrain_1
    deformation_gradient_name = thermal_deformation_gradient_1
    temperature = temperature
    thermal_expansion_coefficients = '1e-05 2e-05 3e-05' # thermal expansion coefficients along three directions
  []
  [thermal_eigenstrain_2]
    type = ComputeCrystalPlasticityThermalEigenstrain
    eigenstrain_name = thermal_eigenstrain_2
    deformation_gradient_name = thermal_deformation_gradient_2
    temperature = temperature
    thermal_expansion_coefficients = '2e-05 3e-05 4e-05' # thermal expansion coefficients along three directions
  []
[]

[Postprocessors]
  [stress_zz]
    type = ElementAverageValue
    variable = stress_zz
  []
  [f1_xx]
    type = ElementAverageValue
    variable = f1_xx
  []
  [f1_yy]
    type = ElementAverageValue
    variable = f1_yy
  []
  [f1_zz]
    type = ElementAverageValue
    variable = f1_zz
  []
  [f2_xx]
    type = ElementAverageValue
    variable = f2_xx
  []
  [f2_yy]
    type = ElementAverageValue
    variable = f2_yy
  []
  [f2_zz]
    type = ElementAverageValue
    variable = f2_zz
  []
  [feig_xx]
    type = ElementAverageValue
    variable = feig_xx
  []
  [feig_yy]
    type = ElementAverageValue
    variable = feig_yy
  []
  [feig_zz]
    type = ElementAverageValue
    variable = feig_zz
  []
  [temperature]
    type = ElementAverageValue
    variable = temperature
  []
[]

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

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

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

  dt = 0.1
  dtmin = 1e-4
  end_time = 10
[]

[Outputs]
  csv = true
  [console]
    type = Console
    max_rows = 5
  []
[]

(modules/tensor_mechanics/test/tests/crystal_plasticity/twinning/combined_twinning_slip_error.i)

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

[Mesh]
  [cube]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 2
    ny = 2
    nz = 2
    elem_type = HEX8
  []
[]

[AuxVariables]
  [fp_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [total_twin_volume_fraction]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_0]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_1]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_2]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_3]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_4]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_5]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_6]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_7]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_8]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_9]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_10]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_11]
    order = CONSTANT
    family = MONOMIAL
  []
  [twin_volume_fraction_0]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_1]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_2]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_3]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_4]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_5]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_6]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_7]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_8]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_9]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_10]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_11]
   order = CONSTANT
   family = MONOMIAL
  []
[]

[Modules/TensorMechanics/Master/all]
  strain = FINITE
  add_variables = true
[]

[AuxKernels]
  [fp_zz]
    type = RankTwoAux
    variable = fp_zz
    rank_two_tensor = plastic_deformation_gradient
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  []
  [total_twin_volume_fraction]
    type = MaterialRealAux
    variable = total_twin_volume_fraction
    property = twin_total_volume_fraction_twins
    execute_on = timestep_end
  []
  [slip_increment_0]
   type = MaterialStdVectorAux
   variable = slip_increment_0
   property = slip_increment
   index = 0
   execute_on = timestep_end
  []
  [slip_increment_1]
   type = MaterialStdVectorAux
   variable = slip_increment_1
   property = slip_increment
   index = 1
   execute_on = timestep_end
  []
  [slip_increment_2]
   type = MaterialStdVectorAux
   variable = slip_increment_2
   property = slip_increment
   index = 2
   execute_on = timestep_end
  []
  [slip_increment_3]
   type = MaterialStdVectorAux
   variable = slip_increment_3
   property = slip_increment
   index = 3
   execute_on = timestep_end
  []
  [slip_increment_4]
   type = MaterialStdVectorAux
   variable = slip_increment_4
   property = slip_increment
   index = 4
   execute_on = timestep_end
  []
  [slip_increment_5]
   type = MaterialStdVectorAux
   variable = slip_increment_5
   property = slip_increment
   index = 5
   execute_on = timestep_end
  []
  [slip_increment_6]
   type = MaterialStdVectorAux
   variable = slip_increment_6
   property = slip_increment
   index = 6
   execute_on = timestep_end
  []
  [slip_increment_7]
   type = MaterialStdVectorAux
   variable = slip_increment_7
   property = slip_increment
   index = 7
   execute_on = timestep_end
  []
  [slip_increment_8]
   type = MaterialStdVectorAux
   variable = slip_increment_8
   property = slip_increment
   index = 8
   execute_on = timestep_end
  []
  [slip_increment_9]
   type = MaterialStdVectorAux
   variable = slip_increment_9
   property = slip_increment
   index = 9
   execute_on = timestep_end
  []
  [slip_increment_10]
   type = MaterialStdVectorAux
   variable = slip_increment_10
   property = slip_increment
   index = 10
   execute_on = timestep_end
  []
  [slip_increment_11]
   type = MaterialStdVectorAux
   variable = slip_increment_11
   property = slip_increment
   index = 11
   execute_on = timestep_end
  []
  [twin_volume_fraction_0]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_0
   property = twin_twin_system_volume_fraction
   index = 0
   execute_on = timestep_end
  []
  [twin_volume_fraction_1]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_1
   property = twin_twin_system_volume_fraction
   index = 1
   execute_on = timestep_end
  []
  [twin_volume_fraction_2]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_2
   property = twin_twin_system_volume_fraction
   index = 2
   execute_on = timestep_end
  []
  [twin_volume_fraction_3]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_3
   property = twin_twin_system_volume_fraction
   index = 3
   execute_on = timestep_end
  []
  [twin_volume_fraction_4]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_4
   property = twin_twin_system_volume_fraction
   index = 4
   execute_on = timestep_end
  []
  [twin_volume_fraction_5]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_5
   property = twin_twin_system_volume_fraction
   index = 5
   execute_on = timestep_end
  []
  [twin_volume_fraction_6]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_6
   property = twin_twin_system_volume_fraction
   index = 6
   execute_on = timestep_end
  []
  [twin_volume_fraction_7]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_7
   property = twin_twin_system_volume_fraction
   index = 7
   execute_on = timestep_end
  []
  [twin_volume_fraction_8]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_8
   property = twin_twin_system_volume_fraction
   index = 8
   execute_on = timestep_end
  []
  [twin_volume_fraction_9]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_9
   property = twin_twin_system_volume_fraction
   index = 9
   execute_on = timestep_end
  []
  [twin_volume_fraction_10]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_10
   property = twin_twin_system_volume_fraction
   index = 10
   execute_on = timestep_end
  []
  [twin_volume_fraction_11]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_11
   property = twin_twin_system_volume_fraction
   index = 11
   execute_on = timestep_end
  []
[]

[BCs]
  [fix_y]
    type = DirichletBC
    variable = disp_y
    preset = true
    boundary = 'bottom'
    value = 0
  []
  [fix_x]
    type = DirichletBC
    variable = disp_x
    boundary = 'left'
    value = 0
  []
  [fix_z]
    type = DirichletBC
    variable = disp_z
    boundary = 'back'
    value = 0
  []
  [tdisp]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = '0.02*t'
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeElasticityTensorConstantRotationCP
    C_ijkl = '1.684e5 1.214e5 1.214e5 1.684e5 1.214e5 1.684e5 0.754e5 0.754e5 0.754e5' # roughly copper
    fill_method = symmetric9
    euler_angle_1 = 54.74
    euler_angle_2 = 45.0
    euler_angle_3 = 270.0
  []
  [stress]
    type = ComputeMultipleCrystalPlasticityStress
    crystal_plasticity_models = 'twin_xtalpl slip_xtalpl'
    tan_mod_type = exact
  []
  [twin_xtalpl]
    type = CrystalPlasticityTwinningKalidindiUpdate
    base_name = twin
    number_slip_systems = 12
    slip_sys_file_name = 'fcc_input_twinning_systems.txt'
    initial_twin_lattice_friction = 60.0
  []
  [slip_xtalpl]
    type = CrystalPlasticityKalidindiUpdate
    number_slip_systems = 12
    slip_sys_file_name = input_slip_sys.txt
    total_twin_volume_fraction = 'total_volume_fraction_twins'
  []
[]

[Postprocessors]
  [fp_zz]
    type = ElementAverageValue
    variable = fp_zz
  []
  [total_twin_volume_fraction]
    type = ElementAverageValue
    variable = total_twin_volume_fraction
  []
  [slip_increment_0]
    type = ElementAverageValue
    variable = slip_increment_0
  []
  [slip_increment_1]
    type = ElementAverageValue
    variable = slip_increment_1
  []
  [slip_increment_2]
    type = ElementAverageValue
    variable = slip_increment_2
  []
  [slip_increment_3]
    type = ElementAverageValue
    variable = slip_increment_3
  []
  [slip_increment_4]
    type = ElementAverageValue
    variable = slip_increment_4
  []
  [slip_increment_5]
    type = ElementAverageValue
    variable = slip_increment_5
  []
  [slip_increment_6]
    type = ElementAverageValue
    variable = slip_increment_6
  []
  [slip_increment_7]
    type = ElementAverageValue
    variable = slip_increment_7
  []
  [slip_increment_8]
    type = ElementAverageValue
    variable = slip_increment_8
  []
  [slip_increment_9]
    type = ElementAverageValue
    variable = slip_increment_9
  []
  [slip_increment_10]
    type = ElementAverageValue
    variable = slip_increment_10
  []
  [slip_increment_11]
    type = ElementAverageValue
    variable = slip_increment_11
  []
  [twin_volume_fraction_0]
    type = ElementAverageValue
    variable = twin_volume_fraction_0
  []
  [twin_volume_fraction_1]
    type = ElementAverageValue
    variable = twin_volume_fraction_1
  []
  [twin_volume_fraction_2]
    type = ElementAverageValue
    variable = twin_volume_fraction_2
  []
  [twin_volume_fraction_3]
    type = ElementAverageValue
    variable = twin_volume_fraction_3
  []
  [twin_volume_fraction_4]
    type = ElementAverageValue
    variable = twin_volume_fraction_4
  []
  [twin_volume_fraction_5]
    type = ElementAverageValue
    variable = twin_volume_fraction_5
  []
  [twin_volume_fraction_6]
    type = ElementAverageValue
    variable = twin_volume_fraction_6
  []
  [twin_volume_fraction_7]
    type = ElementAverageValue
    variable = twin_volume_fraction_7
  []
  [twin_volume_fraction_8]
    type = ElementAverageValue
    variable = twin_volume_fraction_8
  []
  [twin_volume_fraction_9]
    type = ElementAverageValue
    variable = twin_volume_fraction_9
  []
  [twin_volume_fraction_10]
    type = ElementAverageValue
    variable = twin_volume_fraction_10
  []
  [twin_volume_fraction_11]
    type = ElementAverageValue
    variable = twin_volume_fraction_11
  []
[]

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

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

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

  dt = 0.005
  dtmin = 0.01
  num_steps = 6
[]

[Outputs]
  csv = true
  perf_graph = true
[]

(modules/tensor_mechanics/test/tests/crystal_plasticity/hcp_twinning/demonstration_combined_hcp_slip_twins.i)

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

[Mesh]
  [single_xtal]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 2
    ny = 2
    nz = 2
    elem_type = HEX8
  []
[]

[AuxVariables]
  [temperature]
    initial_condition = 300
  []
  [pk2]
    order = CONSTANT
    family = MONOMIAL
  []
  [fp_xx]
    order = CONSTANT
    family = MONOMIAL
  []
  [fp_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [e_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [total_twin_volume_fraction]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_0]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_3]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_9]
    order = CONSTANT
    family = MONOMIAL
  []
  [resolved_shear_stress_3]
    order = CONSTANT
    family = MONOMIAL
  []
  [resolved_shear_stress_9]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_resistance_0]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_resistance_3]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_resistance_9]
    order = CONSTANT
    family = MONOMIAL
  []
  [resolved_twin_stress_0]
    order = CONSTANT
    family = MONOMIAL
  []
  [twin_resistance_0]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[Modules/TensorMechanics/Master/all]
  strain = FINITE
  add_variables = true
  generate_output = stress_zz
[]

[AuxKernels]
  [pk2]
    type = RankTwoAux
    variable = pk2
    rank_two_tensor = second_piola_kirchhoff_stress
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  []
  [fp_xx]
    type = RankTwoAux
    variable = fp_xx
    rank_two_tensor = plastic_deformation_gradient
    index_j = 0
    index_i = 0
    execute_on = timestep_end
  []
  [fp_zz]
    type = RankTwoAux
    variable = fp_zz
    rank_two_tensor = plastic_deformation_gradient
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  []
  [e_zz]
    type = RankTwoAux
    variable = e_zz
    rank_two_tensor = total_lagrangian_strain
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  []
  [total_twin_volume_fraction]
    type = MaterialRealAux
    variable = total_twin_volume_fraction
    property = twin_total_volume_fraction_twins
    execute_on = timestep_end
  []
  [slip_increment_0]
   type = MaterialStdVectorAux
   variable = slip_increment_0
   property = slip_increment
   index = 0
   execute_on = timestep_end
  []
  [slip_increment_3]
   type = MaterialStdVectorAux
   variable = slip_increment_3
   property = slip_increment
   index = 3
   execute_on = timestep_end
  []
  [slip_increment_9]
   type = MaterialStdVectorAux
   variable = slip_increment_9
   property = slip_increment
   index = 9
   execute_on = timestep_end
  []
  [tau_3]
    type = MaterialStdVectorAux
    variable = resolved_shear_stress_3
    property = applied_shear_stress
    index = 3
    execute_on = timestep_end
  []
  [tau_9]
    type = MaterialStdVectorAux
    variable = resolved_shear_stress_9
    property = applied_shear_stress
    index = 9
    execute_on = timestep_end
  []
  [slip_resistance_0]
    type = MaterialStdVectorAux
    variable = slip_resistance_0
    property = slip_resistance
    index = 0
    execute_on = timestep_end
  []
  [slip_resistance_3]
    type = MaterialStdVectorAux
    variable = slip_resistance_3
    property = slip_resistance
    index = 3
    execute_on = timestep_end
  []
  [slip_resistance_9]
    type = MaterialStdVectorAux
    variable = slip_resistance_9
    property = slip_resistance
    index = 9
    execute_on = timestep_end
  []
  [twin_tau_0]
    type = MaterialStdVectorAux
    variable = resolved_twin_stress_0
    property = twin_applied_shear_stress
    index = 0
    execute_on = timestep_end
  []
  [twin_resistance_0]
    type = MaterialStdVectorAux
    variable = twin_resistance_0
    property = twin_slip_resistance
    index = 0
    execute_on = timestep_end
  []
[]

[BCs]
  [symmy]
    type = DirichletBC
    variable = disp_y
    preset = true
    boundary = bottom
    value = 0
  []
  [symmx]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0
  []
  [symmz]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0
  []
  [tdisp]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = '0.005*t'
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeElasticityTensorConstantRotationCP
    C_ijkl = '1.622e5 9.18e4 6.88e4 1.622e5 6.88e4 1.805e5 4.67e4 4.67e4 4.67e4' #alpha Ti, Alankar et al. Acta Materialia 59 (2011) 7003-7009
    fill_method = symmetric9
  []
  [stress]
    type = ComputeMultipleCrystalPlasticityStress
    crystal_plasticity_models = 'slip_xtalpl twin_xtalpl'
    tan_mod_type = exact
  []
  [slip_xtalpl]
    type = CrystalPlasticityHCPDislocationSlipBeyerleinUpdate
    number_slip_systems = 15
    slip_sys_file_name = 'hcp_aprismatic_capyramidal_slip_sys.txt'
    unit_cell_dimension = '2.934e-7 2.934e-7 4.657e-7' #Ti, in mm, https://materialsproject.org/materials/mp-46/
    zero_tol = 5e-10
    temperature = temperature
    initial_forest_dislocation_density = 15.0e5
    initial_substructure_density = 1.0e3
    slip_system_modes = 2
    number_slip_systems_per_mode = '3 12'
    lattice_friction_per_mode = '98 224' #Knezevic et al MSEA 654 (2013)
    effective_shear_modulus_per_mode = '4.7e4 4.7e4' #Ti, in MPa, https://materialsproject.org/materials/mp-46/
    burgers_vector_per_mode = '2.934e-7 6.586e-7' #Ti, in mm, https://materialsproject.org/materials/mp-46/
    slip_generation_coefficient_per_mode = '1.25e5 2.25e7' #from Beyerlein and Tome 2008 IJP
    normalized_slip_activiation_energy_per_mode = '3.73e-3 3.2e-2' #from Beyerlein and Tome 2008 IJP
    slip_energy_proportionality_factor_per_mode = '330 100' #from Beyerlein and Tome 2008 IJP
    substructure_rate_coefficient_per_mode = '355 0.4' #from Capolungo et al MSEA (2009)
    applied_strain_rate = 0.001
    gamma_o = 1.0e-3
    Hall_Petch_like_constant_per_mode = '0.2 0.2' #Estimated to match graph in Capolungo et al MSEA (2009), Figure 2
    grain_size = 20.0e-3 #20 microns, Beyerlein and Tome IJP (2008)
    total_twin_volume_fraction = twin_total_volume_fraction_twins
  []
  [twin_xtalpl]
    type = CrystalPlasticityTwinningKalidindiUpdate
    base_name = twin
    crystal_lattice_type = HCP
    unit_cell_dimension = '2.934e-7 2.934e-7 4.657e-7' #Ti, in mm, https://materialsproject.org/materials/mp-46/
    number_slip_systems = 6
    slip_sys_file_name = 'hcp_tensile_twin_systems.txt'
    initial_twin_lattice_friction = 1140.0
    non_coplanar_coefficient_twin_hardening = 10000
    coplanar_coefficient_twin_hardening = 1000
    characteristic_twin_shear = 0.167
  []
[]

[Postprocessors]
  [stress_zz]
    type = ElementAverageValue
    variable = stress_zz
  []
  [pk2]
    type = ElementAverageValue
    variable = pk2
  []
  [fp_xx]
    type = ElementAverageValue
    variable = fp_xx
  []
  [fp_zz]
    type = ElementAverageValue
    variable = fp_zz
  []
  [e_zz]
    type = ElementAverageValue
    variable = e_zz
  []
  [total_twin_volume_fraction]
    type = ElementAverageValue
    variable = total_twin_volume_fraction
  []
  [slip_increment_0]
    type = ElementAverageValue
    variable = slip_increment_0
  []
  [slip_increment_3]
    type = ElementAverageValue
    variable = slip_increment_3
  []
  [slip_increment_9]
    type = ElementAverageValue
    variable = slip_increment_9
  []
  [tau_3]
    type = ElementAverageValue
    variable = resolved_shear_stress_3
  []
  [tau_9]
    type = ElementAverageValue
    variable = resolved_shear_stress_9
  []
  [slip_resistance_0]
    type = ElementAverageValue
    variable = slip_resistance_0
  []
  [slip_resistance_3]
    type = ElementAverageValue
    variable = slip_resistance_3
  []
  [slip_resistance_9]
    type = ElementAverageValue
    variable = slip_resistance_9
  []
  [twin_tau_0]
    type = ElementAverageValue
    variable = resolved_twin_stress_0
  []
  [twin_resistance_0]
    type = ElementAverageValue
    variable = twin_resistance_0
  []
[]

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

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -ksp_type -ksp_gmres_restart'
  petsc_options_value = ' asm      2              lu            gmres     200'
  nl_rel_tol = 1e-12
  nl_abs_step_tol = 1e-10

  dt = 0.5
  dtmin = 1.0e-2
  dtmax = 10.0
  end_time = 2.25
[]

[Outputs]
  csv = true
  perf_graph = true
[]

(modules/tensor_mechanics/test/tests/crystal_plasticity/stress_update_material_based/update_method_test.i)

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

[Mesh]
  type = GeneratedMesh
  dim = 3
  elem_type = HEX8
[]

[AuxVariables]
  [./pk2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./fp_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./e_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./gss]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./slip_increment]
   order = CONSTANT
   family = MONOMIAL
  [../]
[]

[Modules/TensorMechanics/Master/all]
  strain = FINITE
  add_variables = true
  generate_output = stress_zz
[]

[AuxKernels]
  [./pk2]
   type = RankTwoAux
   variable = pk2
   rank_two_tensor = second_piola_kirchhoff_stress
   index_j = 2
   index_i = 2
   execute_on = timestep_end
  [../]
  [./fp_zz]
    type = RankTwoAux
    variable = fp_zz
    rank_two_tensor = plastic_deformation_gradient
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  [../]
  [./e_zz]
    type = RankTwoAux
    variable = e_zz
    rank_two_tensor = total_lagrangian_strain
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  [../]
  [./gss]
   type = MaterialStdVectorAux
   variable = gss
   property = slip_resistance
   index = 0
   execute_on = timestep_end
  [../]
  [./slip_inc]
   type = MaterialStdVectorAux
   variable = slip_increment
   property = slip_increment
   index = 0
   execute_on = timestep_end
  [../]
[]

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

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensorConstantRotationCP
    C_ijkl = '1.684e5 1.214e5 1.214e5 1.684e5 1.214e5 1.684e5 0.754e5 0.754e5 0.754e5'
    fill_method = symmetric9
  [../]
  [./stress]
    type = ComputeMultipleCrystalPlasticityStress
    crystal_plasticity_models = 'trial_xtalpl'
    tan_mod_type = exact
  [../]
  [./trial_xtalpl]
    type = CrystalPlasticityKalidindiUpdate
    number_slip_systems = 12
    slip_sys_file_name = input_slip_sys.txt
  [../]
[]

[Postprocessors]
  [./stress_zz]
    type = ElementAverageValue
    variable = stress_zz
  [../]
  [./pk2]
   type = ElementAverageValue
   variable = pk2
  [../]
  [./fp_zz]
    type = ElementAverageValue
    variable = fp_zz
  [../]
  [./e_zz]
    type = ElementAverageValue
    variable = e_zz
  [../]
  [./gss]
    type = ElementAverageValue
    variable = gss
  [../]
  [./slip_increment]
   type = ElementAverageValue
   variable = slip_increment
  [../]
[]

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

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

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

  dt = 0.05
  dtmin = 0.01
  dtmax = 10.0
  num_steps = 10
[]

[Outputs]
  exodus = true
[]

(modules/tensor_mechanics/test/tests/crystal_plasticity/hcp_single_crystal/update_method_hcp_aprismatic_capyramidal.i)

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

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 2
  ny = 2
  nz = 2
  elem_type = HEX8
[]

[AuxVariables]
  [temperature]
    initial_condition = 300
  []
  [pk2]
    order = CONSTANT
    family = MONOMIAL
  []
  [fp_xx]
    order = CONSTANT
    family = MONOMIAL
  []
  [fp_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [e_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [resolved_shear_stress_3]
    order = CONSTANT
    family = MONOMIAL
  []
  [resolved_shear_stress_4]
    order = CONSTANT
    family = MONOMIAL
  []
  [resolved_shear_stress_5]
    order = CONSTANT
    family = MONOMIAL
  []
  [resolved_shear_stress_6]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_resistance_0]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_resistance_3]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[Modules/TensorMechanics/Master/all]
  strain = FINITE
  add_variables = true
  generate_output = stress_zz
[]

[AuxKernels]
  [pk2]
    type = RankTwoAux
    variable = pk2
    rank_two_tensor = second_piola_kirchhoff_stress
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  []
  [fp_xx]
    type = RankTwoAux
    variable = fp_xx
    rank_two_tensor = plastic_deformation_gradient
    index_j = 0
    index_i = 0
    execute_on = timestep_end
  []
  [fp_zz]
    type = RankTwoAux
    variable = fp_zz
    rank_two_tensor = plastic_deformation_gradient
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  []
  [e_zz]
    type = RankTwoAux
    variable = e_zz
    rank_two_tensor = total_lagrangian_strain
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  []
  [tau_3]
    type = MaterialStdVectorAux
    variable = resolved_shear_stress_3
    property = applied_shear_stress
    index = 3
    execute_on = timestep_end
  []
  [tau_4]
    type = MaterialStdVectorAux
    variable = resolved_shear_stress_4
    property = applied_shear_stress
    index = 4
    execute_on = timestep_end
  []
  [tau_5]
    type = MaterialStdVectorAux
    variable = resolved_shear_stress_5
    property = applied_shear_stress
    index = 5
    execute_on = timestep_end
  []
  [tau_6]
    type = MaterialStdVectorAux
    variable = resolved_shear_stress_6
    property = applied_shear_stress
    index = 6
    execute_on = timestep_end
  []
  [slip_resistance_0]
    type = MaterialStdVectorAux
    variable = slip_resistance_0
    property = slip_resistance
    index = 0
    execute_on = timestep_end
  []
  [slip_resistance_3]
    type = MaterialStdVectorAux
    variable = slip_resistance_3
    property = slip_resistance
    index = 3
    execute_on = timestep_end
  []
[]

[BCs]
  [symmy]
    type = DirichletBC
    variable = disp_y
    preset = true
    boundary = bottom
    value = 0
  []
  [symmx]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0
  []
  [symmz]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0
  []
  [tdisp]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = '0.001*t'
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeElasticityTensorConstantRotationCP
    C_ijkl = '1.622e5 9.18e4 6.88e4 1.622e5 6.88e4 1.805e5 4.67e4 4.67e4 4.67e4' #alpha Ti, Alankar et al. Acta Materialia 59 (2011) 7003-7009
    fill_method = symmetric9
  []
  [stress]
    type = ComputeMultipleCrystalPlasticityStress
    crystal_plasticity_models = 'trial_xtalpl'
    tan_mod_type = exact
  []
  [trial_xtalpl]
    type = CrystalPlasticityHCPDislocationSlipBeyerleinUpdate
    number_slip_systems = 15
    slip_sys_file_name = hcp_aprismatic_capyramidal_slip_sys.txt
    unit_cell_dimension = '2.934e-7 2.934e-7 4.657e-7' #Ti, in mm, https://materialsproject.org/materials/mp-46/
    temperature = temperature
    initial_forest_dislocation_density = 15.0e5
    initial_substructure_density = 1.0e3
    slip_system_modes = 2
    number_slip_systems_per_mode = '3 12'
    lattice_friction_per_mode = '98 224' #Knezevic et al MSEA 654 (2013)
    effective_shear_modulus_per_mode = '4.7e4 4.7e4' #Ti, in MPa, https://materialsproject.org/materials/mp-46/
    burgers_vector_per_mode = '2.934e-7 6.586e-7' #Ti, in mm, https://materialsproject.org/materials/mp-46/
    slip_generation_coefficient_per_mode = '1.25e5 2.25e7' #from Beyerlein and Tome 2008 IJP
    normalized_slip_activiation_energy_per_mode = '3.73e-3 3.2e-2' #from Beyerlein and Tome 2008 IJP
    slip_energy_proportionality_factor_per_mode = '330 100' #from Beyerlein and Tome 2008 IJP
    substructure_rate_coefficient_per_mode = '355 0.4' #from Capolungo et al MSEA (2009)
    applied_strain_rate = 0.001
    gamma_o = 1.0e-3
    Hall_Petch_like_constant_per_mode = '0.2 0.2' #Estimated to match graph in Capolungo et al MSEA (2009), Figure 2
    grain_size = 20.0e-3 #20 microns, Beyerlein and Tome IJP (2008)
  []
[]

[Postprocessors]
  [stress_zz]
    type = ElementAverageValue
    variable = stress_zz
  []
  [pk2]
    type = ElementAverageValue
    variable = pk2
  []
  [fp_xx]
    type = ElementAverageValue
    variable = fp_xx
  []
  [fp_zz]
    type = ElementAverageValue
    variable = fp_zz
  []
  [e_zz]
    type = ElementAverageValue
    variable = e_zz
  []
  [tau_3]
    type = ElementAverageValue
    variable = resolved_shear_stress_3
  []
  [tau_4]
    type = ElementAverageValue
    variable = resolved_shear_stress_4
  []
  [tau_5]
    type = ElementAverageValue
    variable = resolved_shear_stress_5
  []
  [tau_6]
    type = ElementAverageValue
    variable = resolved_shear_stress_6
  []
  [slip_resistance_0]
    type = ElementAverageValue
    variable = slip_resistance_0
  []
  [slip_resistance_3]
    type = ElementAverageValue
    variable = slip_resistance_3
  []
[]

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

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

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

  dt = 0.5
  dtmin = 1.0e-2
  dtmax = 10.0
  end_time = 5
[]

[Outputs]
  csv = true
[]

(modules/tensor_mechanics/test/tests/crystal_plasticity/stress_update_material_based/linesearch.i)

[GlobalParams]
  displacements = 'ux uy uz'
[]

[Mesh]
  type = GeneratedMesh
  dim = 3
  elem_type = HEX8
[]

[AuxVariables]
  [./fp_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./e_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./gss]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

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

[Modules/TensorMechanics/Master/all]
  strain = FINITE
  add_variables = true
  generate_output = stress_zz
[]

[AuxKernels]
  [./fp_zz]
    type = RankTwoAux
    variable = fp_zz
    rank_two_tensor = plastic_deformation_gradient
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  [../]
  [./e_zz]
    type = RankTwoAux
    variable = e_zz
    rank_two_tensor = total_lagrangian_strain
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  [../]
  [./gss1]
    type = MaterialStdVectorAux
    variable = gss
    property = slip_resistance
    index = 0
    execute_on = timestep_end
  [../]
[]

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

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensorConstantRotationCP
    C_ijkl = '1.684e5 1.214e5 1.214e5 1.684e5 1.214e5 1.684e5 0.754e5 0.754e5 0.754e5'
    fill_method = symmetric9
  [../]
  [./stress]
    type = ComputeMultipleCrystalPlasticityStress
    crystal_plasticity_models = 'trial_xtalpl'
    tan_mod_type = exact
    maximum_substep_iteration = 200
    use_line_search = true
    min_line_search_step_size = 0.01
  [../]
  [./trial_xtalpl]
    type = CrystalPlasticityKalidindiUpdate
    number_slip_systems = 12
    slip_sys_file_name = input_slip_sys.txt
    resistance_tol = 0.01
  [../]
[]

[Postprocessors]
  [./stress_zz]
    type = ElementAverageValue
    variable = stress_zz
  [../]
  [./fp_zz]
    type = ElementAverageValue
    variable = fp_zz
  [../]
  [./e_zz]
    type = ElementAverageValue
    variable = e_zz
  [../]
  [./gss]
    type = ElementAverageValue
    variable = gss
  [../]
[]

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

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

  petsc_options_iname = -pc_hypre_type
  petsc_options_value = boomerang
  nl_abs_tol = 1e-10
  nl_rel_step_tol = 1e-10
  dtmax = 10.0
  nl_rel_tol = 1e-10
  end_time = 1
  dtmin = 0.02
  num_steps = 10
  nl_abs_step_tol = 1e-10
[]

[Outputs]
  exodus = true
[]

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

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

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

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

[Modules/TensorMechanics/Master/all]
  strain = FINITE
  add_variables = true
[]

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

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

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

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

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

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

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

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

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

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

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

[Outputs]
  csv = true
[]

(modules/tensor_mechanics/test/tests/crystal_plasticity/hcp_single_crystal/update_method_hcp_capyramidal_active.i)

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

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

[AuxVariables]
  [temperature]
    initial_condition = 300
  []
  [pk2]
    order = CONSTANT
    family = MONOMIAL
  []
  [e_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [resolved_shear_stress_0]
   order = CONSTANT
   family = MONOMIAL
  []
  [resolved_shear_stress_3]
   order = CONSTANT
   family = MONOMIAL
  []
  [resolved_shear_stress_4]
   order = CONSTANT
   family = MONOMIAL
  []
  [resolved_shear_stress_8]
   order = CONSTANT
   family = MONOMIAL
  []
  [resolved_shear_stress_9]
   order = CONSTANT
   family = MONOMIAL
  []
  [resolved_shear_stress_13]
   order = CONSTANT
   family = MONOMIAL
  []
  [resolved_shear_stress_14]
   order = CONSTANT
   family = MONOMIAL
  []
  [forest_dislocations_0]
   order = CONSTANT
   family = MONOMIAL
  []
  [forest_dislocations_3]
   order = CONSTANT
   family = MONOMIAL
  []
  [forest_dislocations_4]
   order = CONSTANT
   family = MONOMIAL
  []
  [forest_dislocations_8]
   order = CONSTANT
   family = MONOMIAL
  []
  [forest_dislocations_9]
   order = CONSTANT
   family = MONOMIAL
  []
  [forest_dislocations_13]
   order = CONSTANT
   family = MONOMIAL
  []
  [forest_dislocations_14]
   order = CONSTANT
   family = MONOMIAL
  []
  [substructure_density]
   order = CONSTANT
   family = MONOMIAL
  []
  [slip_resistance_0]
   order = CONSTANT
   family = MONOMIAL
  []
  [slip_resistance_3]
   order = CONSTANT
   family = MONOMIAL
  []
[]

[Modules/TensorMechanics/Master/all]
  strain = FINITE
  add_variables = true
[]

[AuxKernels]
  [pk2]
    type = RankTwoAux
    variable = pk2
    rank_two_tensor = second_piola_kirchhoff_stress
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  []
  [e_zz]
    type = RankTwoAux
    variable = e_zz
    rank_two_tensor = total_lagrangian_strain
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  []
  [tau_0]
    type = MaterialStdVectorAux
    variable = resolved_shear_stress_0
    property = applied_shear_stress
    index = 0
    execute_on = timestep_end
  []
  [tau_3]
    type = MaterialStdVectorAux
    variable = resolved_shear_stress_3
    property = applied_shear_stress
    index = 3
    execute_on = timestep_end
  []
  [tau_4]
    type = MaterialStdVectorAux
    variable = resolved_shear_stress_4
    property = applied_shear_stress
    index = 4
    execute_on = timestep_end
  []
  [tau_8]
    type = MaterialStdVectorAux
    variable = resolved_shear_stress_8
    property = applied_shear_stress
    index = 8
    execute_on = timestep_end
  []
  [tau_9]
    type = MaterialStdVectorAux
    variable = resolved_shear_stress_9
    property = applied_shear_stress
    index = 9
    execute_on = timestep_end
  []
  [tau_13]
    type = MaterialStdVectorAux
    variable = resolved_shear_stress_13
    property = applied_shear_stress
    index = 13
    execute_on = timestep_end
  []
  [tau_14]
    type = MaterialStdVectorAux
    variable = resolved_shear_stress_14
    property = applied_shear_stress
    index = 14
    execute_on = timestep_end
  []

  [forest_dislocations_0]
    type = MaterialStdVectorAux
    variable = forest_dislocations_0
    property = forest_dislocation_density
    index = 0
    execute_on = timestep_end
  []
  [forest_dislocations_3]
    type = MaterialStdVectorAux
    variable = forest_dislocations_3
    property = forest_dislocation_density
    index = 3
    execute_on = timestep_end
  []
  [forest_dislocations_4]
    type = MaterialStdVectorAux
    variable = forest_dislocations_4
    property = forest_dislocation_density
    index = 4
    execute_on = timestep_end
  []
  [forest_dislocations_8]
    type = MaterialStdVectorAux
    variable = forest_dislocations_8
    property = forest_dislocation_density
    index = 8
    execute_on = timestep_end
  []
  [forest_dislocations_9]
    type = MaterialStdVectorAux
    variable = forest_dislocations_9
    property = forest_dislocation_density
    index = 9
    execute_on = timestep_end
  []
  [forest_dislocations_13]
    type = MaterialStdVectorAux
    variable = forest_dislocations_13
    property = forest_dislocation_density
    index = 13
    execute_on = timestep_end
  []
  [forest_dislocations_14]
    type = MaterialStdVectorAux
    variable = forest_dislocations_14
    property = forest_dislocation_density
    index = 14
    execute_on = timestep_end
  []
  [substructure_density]
    type = MaterialRealAux
    variable = substructure_density
    property = total_substructure_density
    execute_on = timestep_end
  []
  [slip_resistance_0]
    type = MaterialStdVectorAux
    variable = slip_resistance_0
    property = slip_resistance
    index = 0
    execute_on = timestep_end
  []
  [slip_resistance_3]
    type = MaterialStdVectorAux
    variable = slip_resistance_3
    property = slip_resistance
    index = 3
    execute_on = timestep_end
  []
[]

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

[Materials]
  [elasticity_tensor]
    type = ComputeElasticityTensorConstantRotationCP
    C_ijkl = '1.622e5 9.18e4 6.88e4 1.622e5 6.88e4 1.805e5 4.67e4 4.67e4 4.67e4' #alpha Ti, Alankar et al. Acta Materialia 59 (2011) 7003-7009
    fill_method = symmetric9
    euler_angle_1 =  68
    euler_angle_2 =  14
    euler_angle_3 =  -53
  []
  [stress]
    type = ComputeMultipleCrystalPlasticityStress
    crystal_plasticity_models = 'trial_xtalpl'
    tan_mod_type = exact
  []
  [trial_xtalpl]
    type = CrystalPlasticityHCPDislocationSlipBeyerleinUpdate
    number_slip_systems = 15
    slip_sys_file_name = hcp_aprismatic_capyramidal_slip_sys.txt
    unit_cell_dimension = '2.934e-7 2.934e-7 4.657e-7' #Ti, in mm, https://materialsproject.org/materials/mp-46/
    temperature = temperature
    initial_forest_dislocation_density = 15.0e4
    initial_substructure_density = 5.0e2
    slip_system_modes = 2
    number_slip_systems_per_mode = '3 12'
    lattice_friction_per_mode = '1 1.5'
    effective_shear_modulus_per_mode = '4.7e4 4.7e4' #Ti, in MPa, https://materialsproject.org/materials/mp-46/
    burgers_vector_per_mode = '2.934e-7 6.586e-7' #Ti, in mm, https://materialsproject.org/materials/mp-46/
    slip_generation_coefficient_per_mode = '1e5 2e7'
    normalized_slip_activiation_energy_per_mode = '4e-3 3e-2'
    slip_energy_proportionality_factor_per_mode = '330 100'
    substructure_rate_coefficient_per_mode = '400 100'
    applied_strain_rate = 0.001
    gamma_o = 1.0e-3
    Hall_Petch_like_constant_per_mode = '0 0' #minimize impact
    grain_size = 20.0e-3 #20 microns
  []
[]

[Postprocessors]
  [pk2]
    type = ElementAverageValue
    variable = pk2
  []
  [e_zz]
    type = ElementAverageValue
    variable = e_zz
  []
  [tau_0]
    type = ElementAverageValue
    variable = resolved_shear_stress_0
  []
  [tau_3]
    type = ElementAverageValue
    variable = resolved_shear_stress_3
  []
  [tau_4]
    type = ElementAverageValue
    variable = resolved_shear_stress_4
  []
  [tau_8]
    type = ElementAverageValue
    variable = resolved_shear_stress_8
  []
  [tau_9]
    type = ElementAverageValue
    variable = resolved_shear_stress_9
  []
  [tau_13]
    type = ElementAverageValue
    variable = resolved_shear_stress_13
  []
  [tau_14]
    type = ElementAverageValue
    variable = resolved_shear_stress_14
  []
  [forest_dislocation_0]
    type = ElementAverageValue
    variable = forest_dislocations_0
  []
  [forest_dislocation_3]
    type = ElementAverageValue
    variable = forest_dislocations_3
  []
  [forest_dislocation_4]
    type = ElementAverageValue
    variable = forest_dislocations_4
  []
  [forest_dislocation_8]
    type = ElementAverageValue
    variable = forest_dislocations_8
  []
  [forest_dislocation_9]
    type = ElementAverageValue
    variable = forest_dislocations_9
  []
  [forest_dislocation_13]
    type = ElementAverageValue
    variable = forest_dislocations_13
  []
  [forest_dislocation_14]
    type = ElementAverageValue
    variable = forest_dislocations_14
  []
  [substructure_density]
    type = ElementAverageValue
    variable = substructure_density
  []

  [slip_resistance_0]
    type = ElementAverageValue
    variable = slip_resistance_0
  []
  [slip_resistance_3]
    type = ElementAverageValue
    variable = slip_resistance_3
  []
[]

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

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

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

  dt = 0.015
  dtmin = 1.0e-4
  dtmax = 0.1
  end_time = 0.15
[]

[Outputs]
  csv = true
[]

(modules/tensor_mechanics/test/tests/crystal_plasticity/stress_update_material_based/update_euler_angle.i)

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

[Mesh]
  type = GeneratedMesh
  dim = 3
  elem_type = HEX8
[]

[AuxVariables]
  [euler_angle_1]
    order = CONSTANT
    family = MONOMIAL
  []
  [euler_angle_2]
    order = CONSTANT
    family = MONOMIAL
  []
  [euler_angle_3]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[Modules/TensorMechanics/Master/all]
  strain = FINITE
  add_variables = true
  generate_output = stress_zz
[]

[AuxKernels]
  [euler_angle_1]
    type = MaterialRealVectorValueAux
    variable = euler_angle_1
    property = updated_Euler_angle
    component = 0
    execute_on = timestep_end
  []
  [euler_angle_2]
    type = MaterialRealVectorValueAux
    variable = euler_angle_2
    property = updated_Euler_angle
    component = 1
    execute_on = timestep_end
  []
  [euler_angle_3]
    type = MaterialRealVectorValueAux
    variable = euler_angle_3
    property = updated_Euler_angle
    component = 2
    execute_on = timestep_end
  []
[]

[BCs]
  [Periodic]
    [all]
      variable = 'disp_x'
      auto_direction = 'z'
    []
  []
  [fix_x]
    type = DirichletBC
    variable = disp_x
    boundary = 'left'
    value = 0
  []
  [fix_y]
    type = DirichletBC
    variable = disp_y
    boundary = 'bottom'
    value = 0
  []
  [fix_z]
    type = DirichletBC
    variable = disp_z
    boundary = 'back'
    value = 0
  []
  [tdisp]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front'
    function = '0.01*t'
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeElasticityTensorConstantRotationCP
    C_ijkl = '1.684e5 1.214e5 1.214e5 1.684e5 1.214e5 1.684e5 0.754e5 0.754e5 0.754e5'
    fill_method = symmetric9
    euler_angle_1 = 90
    euler_angle_2 = 30
    euler_angle_3 = 45
  []
  [stress]
    type = ComputeMultipleCrystalPlasticityStress
    crystal_plasticity_models = 'trial_xtalpl'
    tan_mod_type = exact
  []
  [trial_xtalpl]
    type = CrystalPlasticityKalidindiUpdate
    number_slip_systems = 12
    slip_sys_file_name = input_slip_sys.txt
  []
  [updated_euler_angle]
    type = ComputeUpdatedEulerAngle
    radian_to_degree = true
  []
[]

[Postprocessors]
  [euler_angle_1]
    type = ElementAverageValue
    variable = euler_angle_1
  []
  [euler_angle_2]
    type = ElementAverageValue
    variable = euler_angle_2
  []
  [euler_angle_3]
    type = ElementAverageValue
    variable = euler_angle_3
  []
[]

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

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type'
  petsc_options_value = ' lu '
  nl_abs_tol = 1e-10
  nl_rel_tol = 1e-10
  nl_abs_step_tol = 1e-10

  dt = 0.1
  dtmin = 0.01
  end_time = 5
[]

[Outputs]
  csv = true
[]

(modules/tensor_mechanics/test/tests/crystal_plasticity/twinning/combined_twinning_slip_111tension.i)

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

[Mesh]
  [cube]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 2
    ny = 2
    nz = 2
    elem_type = HEX8
  []
[]

[AuxVariables]
  [fp_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [total_twin_volume_fraction]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_0]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_1]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_2]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_3]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_4]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_5]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_6]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_7]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_8]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_9]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_10]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_11]
    order = CONSTANT
    family = MONOMIAL
  []
  [twin_volume_fraction_0]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_1]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_2]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_3]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_4]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_5]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_6]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_7]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_8]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_9]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_10]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_11]
   order = CONSTANT
   family = MONOMIAL
  []
[]

[Modules/TensorMechanics/Master/all]
  strain = FINITE
  add_variables = true
[]

[AuxKernels]
  [fp_zz]
    type = RankTwoAux
    variable = fp_zz
    rank_two_tensor = plastic_deformation_gradient
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  []
  [total_twin_volume_fraction]
    type = MaterialRealAux
    variable = total_twin_volume_fraction
    property = twin_total_volume_fraction_twins
    execute_on = timestep_end
  []
  [slip_increment_0]
   type = MaterialStdVectorAux
   variable = slip_increment_0
   property = slip_increment
   index = 0
   execute_on = timestep_end
  []
  [slip_increment_1]
   type = MaterialStdVectorAux
   variable = slip_increment_1
   property = slip_increment
   index = 1
   execute_on = timestep_end
  []
  [slip_increment_2]
   type = MaterialStdVectorAux
   variable = slip_increment_2
   property = slip_increment
   index = 2
   execute_on = timestep_end
  []
  [slip_increment_3]
   type = MaterialStdVectorAux
   variable = slip_increment_3
   property = slip_increment
   index = 3
   execute_on = timestep_end
  []
  [slip_increment_4]
   type = MaterialStdVectorAux
   variable = slip_increment_4
   property = slip_increment
   index = 4
   execute_on = timestep_end
  []
  [slip_increment_5]
   type = MaterialStdVectorAux
   variable = slip_increment_5
   property = slip_increment
   index = 5
   execute_on = timestep_end
  []
  [slip_increment_6]
   type = MaterialStdVectorAux
   variable = slip_increment_6
   property = slip_increment
   index = 6
   execute_on = timestep_end
  []
  [slip_increment_7]
   type = MaterialStdVectorAux
   variable = slip_increment_7
   property = slip_increment
   index = 7
   execute_on = timestep_end
  []
  [slip_increment_8]
   type = MaterialStdVectorAux
   variable = slip_increment_8
   property = slip_increment
   index = 8
   execute_on = timestep_end
  []
  [slip_increment_9]
   type = MaterialStdVectorAux
   variable = slip_increment_9
   property = slip_increment
   index = 9
   execute_on = timestep_end
  []
  [slip_increment_10]
   type = MaterialStdVectorAux
   variable = slip_increment_10
   property = slip_increment
   index = 10
   execute_on = timestep_end
  []
  [slip_increment_11]
   type = MaterialStdVectorAux
   variable = slip_increment_11
   property = slip_increment
   index = 11
   execute_on = timestep_end
  []
  [twin_volume_fraction_0]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_0
   property = twin_twin_system_volume_fraction
   index = 0
   execute_on = timestep_end
  []
  [twin_volume_fraction_1]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_1
   property = twin_twin_system_volume_fraction
   index = 1
   execute_on = timestep_end
  []
  [twin_volume_fraction_2]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_2
   property = twin_twin_system_volume_fraction
   index = 2
   execute_on = timestep_end
  []
  [twin_volume_fraction_3]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_3
   property = twin_twin_system_volume_fraction
   index = 3
   execute_on = timestep_end
  []
  [twin_volume_fraction_4]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_4
   property = twin_twin_system_volume_fraction
   index = 4
   execute_on = timestep_end
  []
  [twin_volume_fraction_5]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_5
   property = twin_twin_system_volume_fraction
   index = 5
   execute_on = timestep_end
  []
  [twin_volume_fraction_6]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_6
   property = twin_twin_system_volume_fraction
   index = 6
   execute_on = timestep_end
  []
  [twin_volume_fraction_7]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_7
   property = twin_twin_system_volume_fraction
   index = 7
   execute_on = timestep_end
  []
  [twin_volume_fraction_8]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_8
   property = twin_twin_system_volume_fraction
   index = 8
   execute_on = timestep_end
  []
  [twin_volume_fraction_9]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_9
   property = twin_twin_system_volume_fraction
   index = 9
   execute_on = timestep_end
  []
  [twin_volume_fraction_10]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_10
   property = twin_twin_system_volume_fraction
   index = 10
   execute_on = timestep_end
  []
  [twin_volume_fraction_11]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_11
   property = twin_twin_system_volume_fraction
   index = 11
   execute_on = timestep_end
  []
[]

[BCs]
  [fix_y]
    type = DirichletBC
    variable = disp_y
    preset = true
    boundary = 'bottom'
    value = 0
  []
  [fix_x]
    type = DirichletBC
    variable = disp_x
    boundary = 'left'
    value = 0
  []
  [fix_z]
    type = DirichletBC
    variable = disp_z
    boundary = 'back'
    value = 0
  []
  [tdisp]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = '0.02*t'
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeElasticityTensorConstantRotationCP
    C_ijkl = '1.684e5 1.214e5 1.214e5 1.684e5 1.214e5 1.684e5 0.754e5 0.754e5 0.754e5' # roughly copper
    fill_method = symmetric9
    euler_angle_1 = 54.74
    euler_angle_2 = 45.0
    euler_angle_3 = 270.0
  []
  [stress]
    type = ComputeMultipleCrystalPlasticityStress
    crystal_plasticity_models = 'twin_xtalpl slip_xtalpl'
    tan_mod_type = exact
  []
  [twin_xtalpl]
    type = CrystalPlasticityTwinningKalidindiUpdate
    base_name = twin
    number_slip_systems = 12
    slip_sys_file_name = 'fcc_input_twinning_systems.txt'
    initial_twin_lattice_friction = 60.0
  []
  [slip_xtalpl]
    type = CrystalPlasticityKalidindiUpdate
    number_slip_systems = 12
    slip_sys_file_name = input_slip_sys.txt
    total_twin_volume_fraction = 'twin_total_volume_fraction_twins'
  []
[]

[Postprocessors]
  [fp_zz]
    type = ElementAverageValue
    variable = fp_zz
  []
  [total_twin_volume_fraction]
    type = ElementAverageValue
    variable = total_twin_volume_fraction
  []
  [slip_increment_0]
    type = ElementAverageValue
    variable = slip_increment_0
  []
  [slip_increment_1]
    type = ElementAverageValue
    variable = slip_increment_1
  []
  [slip_increment_2]
    type = ElementAverageValue
    variable = slip_increment_2
  []
  [slip_increment_3]
    type = ElementAverageValue
    variable = slip_increment_3
  []
  [slip_increment_4]
    type = ElementAverageValue
    variable = slip_increment_4
  []
  [slip_increment_5]
    type = ElementAverageValue
    variable = slip_increment_5
  []
  [slip_increment_6]
    type = ElementAverageValue
    variable = slip_increment_6
  []
  [slip_increment_7]
    type = ElementAverageValue
    variable = slip_increment_7
  []
  [slip_increment_8]
    type = ElementAverageValue
    variable = slip_increment_8
  []
  [slip_increment_9]
    type = ElementAverageValue
    variable = slip_increment_9
  []
  [slip_increment_10]
    type = ElementAverageValue
    variable = slip_increment_10
  []
  [slip_increment_11]
    type = ElementAverageValue
    variable = slip_increment_11
  []
  [twin_volume_fraction_0]
    type = ElementAverageValue
    variable = twin_volume_fraction_0
  []
  [twin_volume_fraction_1]
    type = ElementAverageValue
    variable = twin_volume_fraction_1
  []
  [twin_volume_fraction_2]
    type = ElementAverageValue
    variable = twin_volume_fraction_2
  []
  [twin_volume_fraction_3]
    type = ElementAverageValue
    variable = twin_volume_fraction_3
  []
  [twin_volume_fraction_4]
    type = ElementAverageValue
    variable = twin_volume_fraction_4
  []
  [twin_volume_fraction_5]
    type = ElementAverageValue
    variable = twin_volume_fraction_5
  []
  [twin_volume_fraction_6]
    type = ElementAverageValue
    variable = twin_volume_fraction_6
  []
  [twin_volume_fraction_7]
    type = ElementAverageValue
    variable = twin_volume_fraction_7
  []
  [twin_volume_fraction_8]
    type = ElementAverageValue
    variable = twin_volume_fraction_8
  []
  [twin_volume_fraction_9]
    type = ElementAverageValue
    variable = twin_volume_fraction_9
  []
  [twin_volume_fraction_10]
    type = ElementAverageValue
    variable = twin_volume_fraction_10
  []
  [twin_volume_fraction_11]
    type = ElementAverageValue
    variable = twin_volume_fraction_11
  []
[]

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

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

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

  dt = 0.005
  dtmin = 0.01
  num_steps = 6
[]

[Outputs]
  csv = true
  perf_graph = true
[]

(modules/tensor_mechanics/test/tests/crystal_plasticity/twinning/combined_twinning_slip_100compression.i)

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

[Mesh]
  [cube]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 2
    ny = 2
    nz = 2
    elem_type = HEX8
  []
[]

[AuxVariables]
  [fp_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [total_twin_volume_fraction]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_0]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_1]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_2]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_3]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_4]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_5]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_6]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_7]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_8]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_9]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_10]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_11]
    order = CONSTANT
    family = MONOMIAL
  []
  [twin_volume_fraction_0]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_1]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_2]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_3]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_4]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_5]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_6]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_7]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_8]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_9]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_10]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_11]
   order = CONSTANT
   family = MONOMIAL
  []
[]

[Modules/TensorMechanics/Master/all]
  strain = FINITE
  add_variables = true
[]

[AuxKernels]
  [fp_zz]
    type = RankTwoAux
    variable = fp_zz
    rank_two_tensor = plastic_deformation_gradient
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  []
  [total_twin_volume_fraction]
    type = MaterialRealAux
    variable = total_twin_volume_fraction
    property = twin_total_volume_fraction_twins
    execute_on = timestep_end
  []
  [slip_increment_0]
   type = MaterialStdVectorAux
   variable = slip_increment_0
   property = slip_increment
   index = 0
   execute_on = timestep_end
  []
  [slip_increment_1]
   type = MaterialStdVectorAux
   variable = slip_increment_1
   property = slip_increment
   index = 1
   execute_on = timestep_end
  []
  [slip_increment_2]
   type = MaterialStdVectorAux
   variable = slip_increment_2
   property = slip_increment
   index = 2
   execute_on = timestep_end
  []
  [slip_increment_3]
   type = MaterialStdVectorAux
   variable = slip_increment_3
   property = slip_increment
   index = 3
   execute_on = timestep_end
  []
  [slip_increment_4]
   type = MaterialStdVectorAux
   variable = slip_increment_4
   property = slip_increment
   index = 4
   execute_on = timestep_end
  []
  [slip_increment_5]
   type = MaterialStdVectorAux
   variable = slip_increment_5
   property = slip_increment
   index = 5
   execute_on = timestep_end
  []
  [slip_increment_6]
   type = MaterialStdVectorAux
   variable = slip_increment_6
   property = slip_increment
   index = 6
   execute_on = timestep_end
  []
  [slip_increment_7]
   type = MaterialStdVectorAux
   variable = slip_increment_7
   property = slip_increment
   index = 7
   execute_on = timestep_end
  []
  [slip_increment_8]
   type = MaterialStdVectorAux
   variable = slip_increment_8
   property = slip_increment
   index = 8
   execute_on = timestep_end
  []
  [slip_increment_9]
   type = MaterialStdVectorAux
   variable = slip_increment_9
   property = slip_increment
   index = 9
   execute_on = timestep_end
  []
  [slip_increment_10]
   type = MaterialStdVectorAux
   variable = slip_increment_10
   property = slip_increment
   index = 10
   execute_on = timestep_end
  []
  [slip_increment_11]
   type = MaterialStdVectorAux
   variable = slip_increment_11
   property = slip_increment
   index = 11
   execute_on = timestep_end
  []
  [twin_volume_fraction_0]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_0
   property = twin_twin_system_volume_fraction
   index = 0
   execute_on = timestep_end
  []
  [twin_volume_fraction_1]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_1
   property = twin_twin_system_volume_fraction
   index = 1
   execute_on = timestep_end
  []
  [twin_volume_fraction_2]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_2
   property = twin_twin_system_volume_fraction
   index = 2
   execute_on = timestep_end
  []
  [twin_volume_fraction_3]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_3
   property = twin_twin_system_volume_fraction
   index = 3
   execute_on = timestep_end
  []
  [twin_volume_fraction_4]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_4
   property = twin_twin_system_volume_fraction
   index = 4
   execute_on = timestep_end
  []
  [twin_volume_fraction_5]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_5
   property = twin_twin_system_volume_fraction
   index = 5
   execute_on = timestep_end
  []
  [twin_volume_fraction_6]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_6
   property = twin_twin_system_volume_fraction
   index = 6
   execute_on = timestep_end
  []
  [twin_volume_fraction_7]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_7
   property = twin_twin_system_volume_fraction
   index = 7
   execute_on = timestep_end
  []
  [twin_volume_fraction_8]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_8
   property = twin_twin_system_volume_fraction
   index = 8
   execute_on = timestep_end
  []
  [twin_volume_fraction_9]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_9
   property = twin_twin_system_volume_fraction
   index = 9
   execute_on = timestep_end
  []
  [twin_volume_fraction_10]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_10
   property = twin_twin_system_volume_fraction
   index = 10
   execute_on = timestep_end
  []
  [twin_volume_fraction_11]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_11
   property = twin_twin_system_volume_fraction
   index = 11
   execute_on = timestep_end
  []
[]

[BCs]
  [fix_y]
    type = DirichletBC
    variable = disp_y
    preset = true
    boundary = 'bottom'
    value = 0
  []
  [fix_x]
    type = DirichletBC
    variable = disp_x
    boundary = 'left'
    value = 0
  []
  [fix_z]
    type = DirichletBC
    variable = disp_z
    boundary = 'back'
    value = 0
  []
  [tdisp]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = '-0.025*t'
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeElasticityTensorConstantRotationCP
    C_ijkl = '1.684e5 1.214e5 1.214e5 1.684e5 1.214e5 1.684e5 0.754e5 0.754e5 0.754e5' # roughly copper
    fill_method = symmetric9
  []
  [stress]
    type = ComputeMultipleCrystalPlasticityStress
    crystal_plasticity_models = 'twin_xtalpl slip_xtalpl'
    tan_mod_type = exact
  []
  [twin_xtalpl]
    type = CrystalPlasticityTwinningKalidindiUpdate
    base_name = twin
    number_slip_systems = 12
    slip_sys_file_name = 'fcc_input_twinning_systems.txt'
    initial_twin_lattice_friction = 60.0
  []
  [slip_xtalpl]
    type = CrystalPlasticityKalidindiUpdate
    number_slip_systems = 12
    slip_sys_file_name = input_slip_sys.txt
    total_twin_volume_fraction = 'twin_total_volume_fraction_twins'
  []
[]

[Postprocessors]
  [fp_zz]
    type = ElementAverageValue
    variable = fp_zz
  []
  [total_twin_volume_fraction]
    type = ElementAverageValue
    variable = total_twin_volume_fraction
  []
  [slip_increment_0]
    type = ElementAverageValue
    variable = slip_increment_0
  []
  [slip_increment_1]
    type = ElementAverageValue
    variable = slip_increment_1
  []
  [slip_increment_2]
    type = ElementAverageValue
    variable = slip_increment_2
  []
  [slip_increment_3]
    type = ElementAverageValue
    variable = slip_increment_3
  []
  [slip_increment_4]
    type = ElementAverageValue
    variable = slip_increment_4
  []
  [slip_increment_5]
    type = ElementAverageValue
    variable = slip_increment_5
  []
  [slip_increment_6]
    type = ElementAverageValue
    variable = slip_increment_6
  []
  [slip_increment_7]
    type = ElementAverageValue
    variable = slip_increment_7
  []
  [slip_increment_8]
    type = ElementAverageValue
    variable = slip_increment_8
  []
  [slip_increment_9]
    type = ElementAverageValue
    variable = slip_increment_9
  []
  [slip_increment_10]
    type = ElementAverageValue
    variable = slip_increment_10
  []
  [slip_increment_11]
    type = ElementAverageValue
    variable = slip_increment_11
  []
  [twin_volume_fraction_0]
    type = ElementAverageValue
    variable = twin_volume_fraction_0
  []
  [twin_volume_fraction_1]
    type = ElementAverageValue
    variable = twin_volume_fraction_1
  []
  [twin_volume_fraction_2]
    type = ElementAverageValue
    variable = twin_volume_fraction_2
  []
  [twin_volume_fraction_3]
    type = ElementAverageValue
    variable = twin_volume_fraction_3
  []
  [twin_volume_fraction_4]
    type = ElementAverageValue
    variable = twin_volume_fraction_4
  []
  [twin_volume_fraction_5]
    type = ElementAverageValue
    variable = twin_volume_fraction_5
  []
  [twin_volume_fraction_6]
    type = ElementAverageValue
    variable = twin_volume_fraction_6
  []
  [twin_volume_fraction_7]
    type = ElementAverageValue
    variable = twin_volume_fraction_7
  []
  [twin_volume_fraction_8]
    type = ElementAverageValue
    variable = twin_volume_fraction_8
  []
  [twin_volume_fraction_9]
    type = ElementAverageValue
    variable = twin_volume_fraction_9
  []
  [twin_volume_fraction_10]
    type = ElementAverageValue
    variable = twin_volume_fraction_10
  []
  [twin_volume_fraction_11]
    type = ElementAverageValue
    variable = twin_volume_fraction_11
  []
[]

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

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

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

  dt = 0.005
  dtmin = 0.01
  num_steps = 10
[]

[Outputs]
  csv = true
  perf_graph = true
[]

(modules/tensor_mechanics/test/tests/crystal_plasticity/stress_update_material_based/use_substep_dt.i)

[GlobalParams]
  displacements = 'ux uy uz'
[]

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 4
  ny = 4
  nz = 4
  elem_type = HEX8
  displacements = 'ux uy uz'
[]

[AuxVariables]
  [./pk2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./fp_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./rotout]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./e_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./gss]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./slip_increment]
   order = CONSTANT
   family = MONOMIAL
  [../]
[]

[Modules/TensorMechanics/Master/all]
  strain = FINITE
  add_variables = true
  generate_output = stress_zz
[]

[AuxKernels]
  [./stress_zz]
    type = RankTwoAux
    variable = stress_zz
    rank_two_tensor = stress
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  [../]
  [./pk2]
   type = RankTwoAux
   variable = pk2
   rank_two_tensor = second_piola_kirchhoff_stress
   index_j = 2
   index_i = 2
   execute_on = timestep_end
  [../]
  [./fp_zz]
    type = RankTwoAux
    variable = fp_zz
    rank_two_tensor = plastic_deformation_gradient
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  [../]
  [./e_zz]
    type = RankTwoAux
    variable = e_zz
    rank_two_tensor = total_lagrangian_strain
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  [../]
  [./gss]
    type = MaterialStdVectorAux
    variable = gss
    property = slip_resistance
    index = 0
    execute_on = timestep_end
  [../]
  [./slip_inc]
   type = MaterialStdVectorAux
   variable = slip_increment
   property = slip_increment
   index = 0
   execute_on = timestep_end
  [../]
[]

[BCs]
  [./symmy]
    type = DirichletBC
    variable = uy
    boundary = bottom
    value = 0
  [../]
  [./symmx]
    type = DirichletBC
    variable = ux
    boundary = left
    value = 0
  [../]
  [./symmz]
    type = DirichletBC
    variable = uz
    boundary = back
    value = 0
  [../]
  [./pushy]
    type = FunctionDirichletBC
    variable = uy
    boundary = top
    function = '-0.1*t'
  [../]
  [./pullz]
    type = FunctionDirichletBC
    variable = uz
    boundary = front
    function = '0.1*t'
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensorConstantRotationCP
    C_ijkl = '1.684e5 1.214e5 1.214e5 1.684e5 1.214e5 1.684e5 0.754e5 0.754e5 0.754e5'
    fill_method = symmetric9
  [../]
  [./stress]
    type = ComputeMultipleCrystalPlasticityStress
    crystal_plasticity_models = 'trial_xtalpl'
    tan_mod_type = exact
    maximum_substep_iteration = 1
  [../]
  [./trial_xtalpl]
    type = CrystalPlasticityKalidindiUpdate
    number_slip_systems = 12
    slip_sys_file_name = input_slip_sys.txt
  [../]
[]

[Postprocessors]
  [./stress_zz]
    type = ElementAverageValue
    variable = stress_zz
  [../]
  [./pk2]
   type = ElementAverageValue
   variable = pk2
  [../]
  [./fp_zz]
    type = ElementAverageValue
    variable = fp_zz
  [../]
  [./e_zz]
    type = ElementAverageValue
    variable = e_zz
  [../]
  [./gss]
    type = ElementAverageValue
    variable = gss
  [../]
  [./slip_increment]
   type = ElementAverageValue
   variable = slip_increment
  [../]
  [./uy_avg_top]
    type = SideAverageValue
    variable = uy
    boundary = top
  []
  [./uz_avg_front]
    type = SideAverageValue
    variable = uz
    boundary = front
  []
[]

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

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

  petsc_options_iname = -pc_hypre_type
  petsc_options_value = boomerang
  nl_abs_tol = 1e-10
  nl_rel_step_tol = 1e-10
  dtmax = 10.0
  nl_rel_tol = 1e-10
  end_time = 1.0
  num_steps = 5
  dtmin = 0.001
  nl_abs_step_tol = 1e-10
[]

[Outputs]
  csv = true
[]

(modules/tensor_mechanics/test/tests/crystal_plasticity/stress_update_material_based/substep.i)

[GlobalParams]
  displacements = 'ux uy uz'
[]

[Mesh]
  type = GeneratedMesh
  dim = 3
  elem_type = HEX8
[]

[AuxVariables]
  [./fp_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./e_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./gss]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[Modules/TensorMechanics/Master/all]
  strain = FINITE
  add_variables = true
  generate_output = stress_zz
[]

[AuxKernels]
  [./fp_zz]
    type = RankTwoAux
    variable = fp_zz
    rank_two_tensor = plastic_deformation_gradient
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  [../]
  [./e_zz]
    type = RankTwoAux
    variable = e_zz
    rank_two_tensor = total_lagrangian_strain
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  [../]
  [./gss]
    type = MaterialStdVectorAux
    variable = gss
    property = slip_resistance
    index = 0
    execute_on = timestep_end
  [../]
[]

[BCs]
  [./symmy]
    type = DirichletBC
    variable = uy
    boundary = bottom
    value = 0
  [../]
  [./symmx]
    type = DirichletBC
    variable = ux
    boundary = left
    value = 0
  [../]
  [./symmz]
    type = DirichletBC
    variable = uz
    boundary = back
    value = 0
  [../]
  [./tdisp]
    type = FunctionDirichletBC
    variable = uz
    boundary = front
    function = 0.01*t
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensorConstantRotationCP
    C_ijkl = '1.684e5 1.214e5 1.214e5 1.684e5 1.214e5 1.684e5 0.754e5 0.754e5 0.754e5'
    fill_method = symmetric9
  [../]
  [./stress]
    type = ComputeMultipleCrystalPlasticityStress
    crystal_plasticity_models = 'trial_xtalpl'
    tan_mod_type = exact
    maximum_substep_iteration = 10
  [../]
  [./trial_xtalpl]
    type = CrystalPlasticityKalidindiUpdate
    number_slip_systems = 12
    slip_sys_file_name = input_slip_sys.txt
    resistance_tol = 1.0e-2
  [../]
[]

[Postprocessors]
  [./stress_zz]
    type = ElementAverageValue
    variable = stress_zz
  [../]
  [./fp_zz]
    type = ElementAverageValue
    variable = fp_zz
  [../]
  [./e_zz]
    type = ElementAverageValue
    variable = e_zz
  [../]
  [./gss]
    type = ElementAverageValue
    variable = gss
  [../]
[]

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

[Executioner]
  type = Transient
  dt = 2.0
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -ksp_type -ksp_gmres_restart'
  petsc_options_value = ' asm      2              lu            gmres     200'
  nl_abs_tol = 1e-10
  nl_rel_step_tol = 1e-10
  dtmax = 10.0
  nl_rel_tol = 1e-10
  dtmin = 0.5
  num_steps = 10
  nl_abs_step_tol = 1e-10
[]

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

(modules/tensor_mechanics/test/tests/crystal_plasticity/stress_update_material_based/update_method_011orientation.i)

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

[Mesh]
  type = GeneratedMesh
  dim = 3
  elem_type = HEX8
[]

[AuxVariables]
  [./pk2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./fp_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./lagrangian_strain_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./lagrangian_strain_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./gss]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./slip_increment]
   order = CONSTANT
   family = MONOMIAL
  [../]
[]

[Modules/TensorMechanics/Master/all]
  strain = FINITE
  add_variables = true
  generate_output = stress_zz
[]

[AuxKernels]
  [./pk2]
   type = RankTwoAux
   variable = pk2
   rank_two_tensor = second_piola_kirchhoff_stress
   index_j = 2
   index_i = 2
   execute_on = timestep_end
  [../]
  [./fp_zz]
    type = RankTwoAux
    variable = fp_zz
    rank_two_tensor = plastic_deformation_gradient
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  [../]
  [./lagrangian_strain_zz]
    type = RankTwoAux
    variable = lagrangian_strain_zz
    rank_two_tensor = total_lagrangian_strain
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  [../]
  [./lagrangian_strain_yy]
    type = RankTwoAux
    rank_two_tensor = total_lagrangian_strain
    variable = lagrangian_strain_yy
    index_i = 1
    index_j = 1
    execute_on = timestep_end
  [../]
  [./gss]
   type = MaterialStdVectorAux
   variable = gss
   property = slip_resistance
   index = 0
   execute_on = timestep_end
  [../]
  [./slip_inc]
   type = MaterialStdVectorAux
   variable = slip_increment
   property = slip_increment
   index = 0
   execute_on = timestep_end
  [../]
[]

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

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensorConstantRotationCP
    C_ijkl = '1.684e5 1.214e5 1.214e5 1.684e5 1.214e5 1.684e5 0.754e5 0.754e5 0.754e5'
    fill_method = symmetric9
    euler_angle_1 = 120.0
    euler_angle_2 = 125.264
    euler_angle_3 =  45.0
  [../]
  [./stress]
    type = ComputeMultipleCrystalPlasticityStress
    crystal_plasticity_models = 'trial_xtalpl'
    tan_mod_type = exact
  [../]
  [./trial_xtalpl]
    type = CrystalPlasticityKalidindiUpdate
    number_slip_systems = 12
    slip_sys_file_name = input_slip_sys.txt
  [../]
[]

[Postprocessors]
  [./stress_zz]
    type = ElementAverageValue
    variable = stress_zz
  [../]
  [./pk2]
   type = ElementAverageValue
   variable = pk2
  [../]
  [./fp_zz]
    type = ElementAverageValue
    variable = fp_zz
  [../]
  [./lagrangian_strain_yy]
    type = ElementAverageValue
    variable = lagrangian_strain_yy
  [../]
  [./lagrangian_strain_zz]
    type = ElementAverageValue
    variable = lagrangian_strain_zz
  [../]
  [./gss]
    type = ElementAverageValue
    variable = gss
  [../]
  [./slip_increment]
   type = ElementAverageValue
   variable = slip_increment
  [../]
[]

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

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

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

  dt = 0.05
  dtmin = 0.01
  dtmax = 10.0
  num_steps = 10
[]

[Outputs]
  csv = true
[]

(modules/tensor_mechanics/test/tests/nodal_patch_recovery/patch_recovery.i)

[GlobalParams]
  displacements = 'ux uy'
[]

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 4
  ny = 4
[]

[UserObjects]
  [stress_xx_patch]
    type = NodalPatchRecoveryMaterialProperty
    patch_polynomial_order = FIRST
    property = 'stress'
    component = '0 0'
    execute_on = 'TIMESTEP_END'
  []
  [stress_yy_patch]
    type = NodalPatchRecoveryMaterialProperty
    patch_polynomial_order = FIRST
    property = 'stress'
    component = '1 1'
    execute_on = 'TIMESTEP_END'
  []
[]

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

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

[Modules/TensorMechanics/Master/all]
  strain = FINITE
  add_variables = true
[]

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

[BCs]
  [fix_y]
    type = DirichletBC
    variable = uy
    boundary = 'bottom'
    value = 0
  []
  [fix_x]
    type = DirichletBC
    variable = ux
    boundary = 'top bottom'
    value = 0
  []
  [disp_y]
    type = FunctionDirichletBC
    variable = uy
    boundary = 'top'
    function = tdisp
    preset = false
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeElasticityTensorConstantRotationCP
    C_ijkl = '1.684e5 1.214e5 1.214e5 1.684e5 1.214e5 1.684e5 0.754e5 0.754e5 0.754e5'
    fill_method = symmetric9
  []
  [stress]
    type = ComputeMultipleCrystalPlasticityStress
    crystal_plasticity_models = 'trial_xtalpl'
    tan_mod_type = exact
  []
  [trial_xtalpl]
    type = CrystalPlasticityKalidindiUpdate
    number_slip_systems = 12
    slip_sys_file_name = input_slip_sys.txt
  []
[]

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

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'

  automatic_scaling = true

  dt = 0.05
  num_steps = 2

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

[Outputs]
  exodus = true
  print_linear_residuals = false
[]

(modules/tensor_mechanics/test/tests/crystal_plasticity/hcp_single_crystal/update_method_hcp_representative_slip_systems.i)

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

[Mesh]
  type = GeneratedMesh
  dim = 3
  elem_type = HEX8
[]

[AuxVariables]
  [temperature]
    initial_condition = 300
  []
  [pk2]
    order = CONSTANT
    family = MONOMIAL
  []
  [fp_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [e_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [resolved_shear_stress_0]
    order = CONSTANT
    family = MONOMIAL
  []
  [resolved_shear_stress_1]
    order = CONSTANT
    family = MONOMIAL
  []
  [resolved_shear_stress_2]
    order = CONSTANT
    family = MONOMIAL
  []
  [resolved_shear_stress_3]
    order = CONSTANT
    family = MONOMIAL
  []
  [resolved_shear_stress_4]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[Modules/TensorMechanics/Master/all]
  strain = FINITE
  add_variables = true
  generate_output = stress_zz
[]

[AuxKernels]
  [pk2]
    type = RankTwoAux
    variable = pk2
    rank_two_tensor = second_piola_kirchhoff_stress
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  []
  [fp_zz]
    type = RankTwoAux
    variable = fp_zz
    rank_two_tensor = plastic_deformation_gradient
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  []
  [e_zz]
    type = RankTwoAux
    variable = e_zz
    rank_two_tensor = total_lagrangian_strain
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  []
  [tau_0]
    type = MaterialStdVectorAux
    variable = resolved_shear_stress_0
    property = applied_shear_stress
    index = 0
    execute_on = timestep_end
  []
  [tau_1]
    type = MaterialStdVectorAux
    variable = resolved_shear_stress_1
    property = applied_shear_stress
    index = 1
    execute_on = timestep_end
  []
  [tau_2]
    type = MaterialStdVectorAux
    variable = resolved_shear_stress_2
    property = applied_shear_stress
    index = 2
    execute_on = timestep_end
  []
  [tau_3]
    type = MaterialStdVectorAux
    variable = resolved_shear_stress_3
    property = applied_shear_stress
    index = 3
    execute_on = timestep_end
  []
  [tau_4]
    type = MaterialStdVectorAux
    variable = resolved_shear_stress_4
    property = applied_shear_stress
    index = 4
    execute_on = timestep_end
  []
[]

[BCs]
  [symmy]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0
  []
  [symmx]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0
  []
  [symmz]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0
  []
  [tdisp]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = '0.1*t'
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeElasticityTensorConstantRotationCP
    C_ijkl = '1.622e5 9.18e4 6.88e4 1.622e5 6.88e4 1.805e5 4.67e4 4.67e4 4.67e4' #alpha Ti, Alankar et al. Acta Materialia 59 (2011) 7003-7009
    fill_method = symmetric9
    euler_angle_1 = 45
    euler_angle_2 = 60
    euler_angle_3 = 30
  []
  [stress]
    type = ComputeMultipleCrystalPlasticityStress
    crystal_plasticity_models = 'trial_xtalpl'
    tan_mod_type = exact
  []
  [trial_xtalpl]
    type = CrystalPlasticityHCPDislocationSlipBeyerleinUpdate
    number_slip_systems = 5
    slip_sys_file_name = select_input_slip_sys_hcp.txt
    unit_cell_dimension = '2.934e-7 2.934e-7 4.657e-7' #Ti, in mm, https://materialsproject.org/materials/mp-46/
    temperature = temperature
    initial_forest_dislocation_density = 15.0e5
    initial_substructure_density = 1.0e3
    slip_system_modes = 4
    number_slip_systems_per_mode = '1 1 2 1'
    lattice_friction_per_mode = '10 10 15 30'
    effective_shear_modulus_per_mode = '47e3 47e3 47e3 47e3'
    burgers_vector_per_mode = '2.934e-7 2.934e-7 2.934e-7 6.586e-7' #Ti, in mm, https://materialsproject.org/materials/mp-46/
    slip_generation_coefficient_per_mode = '2e7 1e5 2e7 2e7'
    normalized_slip_activiation_energy_per_mode = '3e-2 4e-3 3e-2 3e-2'
    slip_energy_proportionality_factor_per_mode = '100 330 100 100'
    substructure_rate_coefficient_per_mode = '100 400 1 1'
    applied_strain_rate = 0.001
    gamma_o = 1.0e-3
    strain_rate_sensitivity_exponent = 0.05
    Hall_Petch_like_constant_per_mode = '10 10 10 10'
    grain_size = 20.0e-3 #20 microns,
  []
[]

[Postprocessors]
  [stress_zz]
    type = ElementAverageValue
    variable = stress_zz
  []
  [pk2]
    type = ElementAverageValue
    variable = pk2
  []
  [fp_zz]
    type = ElementAverageValue
    variable = fp_zz
  []
  [e_zz]
    type = ElementAverageValue
    variable = e_zz
  []
  [tau_0]
    type = ElementAverageValue
    variable = resolved_shear_stress_0
  []
  [tau_1]
    type = ElementAverageValue
    variable = resolved_shear_stress_1
  []
  [tau_2]
    type = ElementAverageValue
    variable = resolved_shear_stress_2
  []
  [tau_3]
    type = ElementAverageValue
    variable = resolved_shear_stress_3
  []
  [tau_4]
    type = ElementAverageValue
    variable = resolved_shear_stress_4
  []
[]

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

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

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

  dt = 0.05
  dtmin = 0.01
  dtmax = 0.1
  end_time = 0.4
[]

[Outputs]
  csv = true
[]

(modules/tensor_mechanics/test/tests/crystal_plasticity/hcp_single_crystal/update_method_hcp_convergence_issue_flag.i)

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

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

[AuxVariables]
  [temperature]
    initial_condition = 300
  []
[]

[Modules/TensorMechanics/Master/all]
  strain = FINITE
  add_variables = true
[]

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

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

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

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

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

  dt = 0.3
  dtmin = 1.0e-4
  dtmax = 0.1
  num_steps = 1
[]

[Outputs]
[]

(modules/tensor_mechanics/test/tests/crystal_plasticity/twinning/non_coplanar_twin_hardening.i)

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

[Mesh]
  [cube]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 2
    ny = 2
    nz = 2
    elem_type = HEX8
  []
[]

[AuxVariables]
  [total_twin_volume_fraction]
    order = CONSTANT
    family = MONOMIAL
  []
  [twin_resistance_0]
    order = CONSTANT
    family = MONOMIAL
  []
  [twin_resistance_1]
    order = CONSTANT
    family = MONOMIAL
  []
  [twin_resistance_2]
    order = CONSTANT
    family = MONOMIAL
  []
  [twin_resistance_3]
    order = CONSTANT
    family = MONOMIAL
  []
  [twin_volume_fraction_0]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_1]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_2]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_3]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_tau_0]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_tau_1]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_tau_2]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_tau_3]
   order = CONSTANT
   family = MONOMIAL
  []
[]

[Modules/TensorMechanics/Master/all]
  strain = FINITE
  add_variables = true
  generate_output = stress_zz
[]

[AuxKernels]
  [total_twin_volume_fraction]
    type = MaterialRealAux
    variable = total_twin_volume_fraction
    property = total_volume_fraction_twins
    execute_on = timestep_end
  []
  [twin_resistance_0]
   type = MaterialStdVectorAux
   variable = twin_resistance_0
   property = slip_resistance
   index = 0
   execute_on = timestep_end
  []
  [twin_resistance_1]
   type = MaterialStdVectorAux
   variable = twin_resistance_1
   property = slip_resistance
   index = 1
   execute_on = timestep_end
  []
  [twin_resistance_2]
   type = MaterialStdVectorAux
   variable = twin_resistance_2
   property = slip_resistance
   index = 2
   execute_on = timestep_end
  []
  [twin_resistance_3]
   type = MaterialStdVectorAux
   variable = twin_resistance_3
   property = slip_resistance
   index = 3
   execute_on = timestep_end
  []
  [twin_volume_fraction_0]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_0
   property = twin_system_volume_fraction
   index = 0
   execute_on = timestep_end
  []
  [twin_volume_fraction_1]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_1
   property = twin_system_volume_fraction
   index = 1
   execute_on = timestep_end
  []
  [twin_volume_fraction_2]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_2
   property = twin_system_volume_fraction
   index = 2
   execute_on = timestep_end
  []
  [twin_volume_fraction_3]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_3
   property = twin_system_volume_fraction
   index = 3
   execute_on = timestep_end
  []
  [twin_tau_0]
    type = MaterialStdVectorAux
    variable = twin_tau_0
    property = applied_shear_stress
    index = 0
    execute_on = timestep_end
  []
  [twin_tau_1]
    type = MaterialStdVectorAux
    variable = twin_tau_1
    property = applied_shear_stress
    index = 1
    execute_on = timestep_end
  []
  [twin_tau_2]
    type = MaterialStdVectorAux
    variable = twin_tau_2
    property = applied_shear_stress
    index = 2
    execute_on = timestep_end
  []
  [twin_tau_3]
    type = MaterialStdVectorAux
    variable = twin_tau_3
    property = applied_shear_stress
    index = 3
    execute_on = timestep_end
  []
[]

[BCs]
  [fix_y]
    type = DirichletBC
    variable = disp_y
    preset = true
    boundary = 'bottom'
    value = 0
  []
  [fix_x]
    type = DirichletBC
    variable = disp_x
    boundary = 'left'
    value = 0
  []
  [fix_z]
    type = DirichletBC
    variable = disp_z
    boundary = 'back'
    value = 0
  []
  [tdisp]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = '-1.0e-3*t'
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeElasticityTensorConstantRotationCP
    C_ijkl = '1.08e5 6.034e4 6.034e4 1.08e5 6.03e4 1.08e5 2.86e4 2.86e4 2.86e4' #Tallon and Wolfenden. J. Phys. Chem. Solids (1979)
    fill_method = symmetric9
  []
  [stress]
    type = ComputeMultipleCrystalPlasticityStress
    crystal_plasticity_models = 'twin_only_xtalpl'
    tan_mod_type = exact
  []
  [twin_only_xtalpl]
    type = CrystalPlasticityTwinningKalidindiUpdate
    number_slip_systems = 4
    slip_sys_file_name = 'select_twin_systems_verify_hardening.txt'
    initial_twin_lattice_friction = 6.0
    non_coplanar_coefficient_twin_hardening = 8e4
    non_coplanar_twin_hardening_exponent = 0.1
    coplanar_coefficient_twin_hardening = 0
  []
[]

[Postprocessors]
  [stress_zz]
    type = ElementAverageValue
    variable = stress_zz
  []
  [total_twin_volume_fraction]
    type = ElementAverageValue
    variable = total_twin_volume_fraction
  []
  [twin_resistance_0]
    type = ElementAverageValue
    variable = twin_resistance_0
  []
  [twin_resistance_1]
    type = ElementAverageValue
    variable = twin_resistance_1
  []
  [twin_resistance_2]
    type = ElementAverageValue
    variable = twin_resistance_2
  []
  [twin_resistance_3]
    type = ElementAverageValue
    variable = twin_resistance_3
  []
  [twin_volume_fraction_0]
    type = ElementAverageValue
    variable = twin_volume_fraction_0
  []
  [twin_volume_fraction_1]
    type = ElementAverageValue
    variable = twin_volume_fraction_1
  []
  [twin_volume_fraction_2]
    type = ElementAverageValue
    variable = twin_volume_fraction_2
  []
  [twin_volume_fraction_3]
    type = ElementAverageValue
    variable = twin_volume_fraction_3
  []
[]

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

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

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

  dt = 0.05
  dtmin = 1e-6
  dtmax = 10.0
  num_steps = 4
[]

[Outputs]
  csv = true
  perf_graph = true
[]

(modules/tensor_mechanics/test/tests/crystal_plasticity/twinning/check_direction_twin_propagation.i)

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

[Mesh]
  [cube]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 3
    ny = 3
    nz = 3
    elem_type = HEX8
  []
[]

[AuxVariables]
  [twin_volume_fraction_0]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_1]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_2]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_3]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_4]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_5]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_6]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_7]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_8]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_9]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_10]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_11]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_tau_0]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_tau_1]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_tau_2]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_tau_3]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_tau_4]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_tau_5]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_tau_6]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_tau_7]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_tau_8]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_tau_9]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_tau_10]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_tau_11]
   order = CONSTANT
   family = MONOMIAL
  []
[]

[Modules/TensorMechanics/Master/all]
  strain = FINITE
  add_variables = true
[]

[AuxKernels]
  [twin_volume_fraction_0]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_0
   property = twin_system_volume_fraction
   index = 0
   execute_on = timestep_end
  []
  [twin_volume_fraction_1]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_1
   property = twin_system_volume_fraction
   index = 1
   execute_on = timestep_end
  []
  [twin_volume_fraction_2]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_2
   property = twin_system_volume_fraction
   index = 2
   execute_on = timestep_end
  []
  [twin_volume_fraction_3]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_3
   property = twin_system_volume_fraction
   index = 3
   execute_on = timestep_end
  []
  [twin_volume_fraction_4]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_4
   property = twin_system_volume_fraction
   index = 4
   execute_on = timestep_end
  []
  [twin_volume_fraction_5]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_5
   property = twin_system_volume_fraction
   index = 5
   execute_on = timestep_end
  []
  [twin_volume_fraction_6]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_6
   property = twin_system_volume_fraction
   index = 6
   execute_on = timestep_end
  []
  [twin_volume_fraction_7]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_7
   property = twin_system_volume_fraction
   index = 7
   execute_on = timestep_end
  []
  [twin_volume_fraction_8]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_8
   property = twin_system_volume_fraction
   index = 8
   execute_on = timestep_end
  []
  [twin_volume_fraction_9]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_9
   property = twin_system_volume_fraction
   index = 9
   execute_on = timestep_end
  []
  [twin_volume_fraction_10]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_10
   property = twin_system_volume_fraction
   index = 10
   execute_on = timestep_end
  []
  [twin_volume_fraction_11]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_11
   property = twin_system_volume_fraction
   index = 11
   execute_on = timestep_end
  []
  [twin_tau_0]
    type = MaterialStdVectorAux
    variable = twin_tau_0
    property = applied_shear_stress
    index = 0
    execute_on = timestep_end
  []
  [twin_tau_1]
    type = MaterialStdVectorAux
    variable = twin_tau_1
    property = applied_shear_stress
    index = 1
    execute_on = timestep_end
  []
  [twin_tau_2]
    type = MaterialStdVectorAux
    variable = twin_tau_2
    property = applied_shear_stress
    index = 2
    execute_on = timestep_end
  []
  [twin_tau_3]
    type = MaterialStdVectorAux
    variable = twin_tau_3
    property = applied_shear_stress
    index = 3
    execute_on = timestep_end
  []
  [twin_tau_4]
    type = MaterialStdVectorAux
    variable = twin_tau_4
    property = applied_shear_stress
    index = 4
    execute_on = timestep_end
  []
  [twin_tau_5]
    type = MaterialStdVectorAux
    variable = twin_tau_5
    property = applied_shear_stress
    index = 5
    execute_on = timestep_end
  []
  [twin_tau_6]
    type = MaterialStdVectorAux
    variable = twin_tau_6
    property = applied_shear_stress
    index = 6
    execute_on = timestep_end
  []
  [twin_tau_7]
    type = MaterialStdVectorAux
    variable = twin_tau_7
    property = applied_shear_stress
    index = 7
    execute_on = timestep_end
  []
  [twin_tau_8]
    type = MaterialStdVectorAux
    variable = twin_tau_8
    property = applied_shear_stress
    index = 8
    execute_on = timestep_end
  []
  [twin_tau_9]
    type = MaterialStdVectorAux
    variable = twin_tau_9
    property = applied_shear_stress
    index = 9
    execute_on = timestep_end
  []
  [twin_tau_10]
    type = MaterialStdVectorAux
    variable = twin_tau_10
    property = applied_shear_stress
    index = 10
    execute_on = timestep_end
  []
  [twin_tau_11]
    type = MaterialStdVectorAux
    variable = twin_tau_11
    property = applied_shear_stress
    index = 11
    execute_on = timestep_end
  []
[]

[BCs]
  [fix_y]
    type = DirichletBC
    variable = disp_y
    preset = true
    boundary = 'bottom'
    value = 0
  []
  [fix_x]
    type = DirichletBC
    variable = disp_x
    boundary = 'left'
    value = 0
  []
  [fix_z]
    type = DirichletBC
    variable = disp_z
    boundary = 'back'
    value = 0
  []
  [tdisp]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = '-5.0e-4*t'
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeElasticityTensorConstantRotationCP
    C_ijkl = '1.08e5 6.034e4 6.034e4 1.08e5 6.03e4 1.08e5 2.86e4 2.86e4 2.86e4' #Tallon and Wolfenden. J. Phys. Chem. Solids (1979)
    fill_method = symmetric9
    euler_angle_1 = 54.74
    euler_angle_2 = 45.0
    euler_angle_3 = 270.0
  []
  [stress]
    type = ComputeMultipleCrystalPlasticityStress
    crystal_plasticity_models = 'twin_only_xtalpl'
    tan_mod_type = exact
  []
  [twin_only_xtalpl]
    type = CrystalPlasticityTwinningKalidindiUpdate
    number_slip_systems = 12
    slip_sys_file_name = 'fcc_input_twinning_systems.txt'
    initial_twin_lattice_friction = 2.0
  []
[]

[Postprocessors]
  [twin_volume_fraction_0]
    type = ElementAverageValue
    variable = twin_volume_fraction_0
  []
  [twin_volume_fraction_1]
    type = ElementAverageValue
    variable = twin_volume_fraction_1
  []
  [twin_volume_fraction_2]
    type = ElementAverageValue
    variable = twin_volume_fraction_2
  []
  [twin_volume_fraction_3]
    type = ElementAverageValue
    variable = twin_volume_fraction_3
  []
  [twin_volume_fraction_4]
    type = ElementAverageValue
    variable = twin_volume_fraction_4
  []
  [twin_volume_fraction_5]
    type = ElementAverageValue
    variable = twin_volume_fraction_5
  []
  [twin_volume_fraction_6]
    type = ElementAverageValue
    variable = twin_volume_fraction_6
  []
  [twin_volume_fraction_7]
    type = ElementAverageValue
    variable = twin_volume_fraction_7
  []
  [twin_volume_fraction_8]
    type = ElementAverageValue
    variable = twin_volume_fraction_8
  []
  [twin_volume_fraction_9]
    type = ElementAverageValue
    variable = twin_volume_fraction_9
  []
  [twin_volume_fraction_10]
    type = ElementAverageValue
    variable = twin_volume_fraction_10
  []
  [twin_volume_fraction_11]
    type = ElementAverageValue
    variable = twin_volume_fraction_11
  []
  [twin_tau_0]
    type = ElementAverageValue
    variable = twin_tau_0
  []
  [twin_tau_1]
    type = ElementAverageValue
    variable = twin_tau_1
  []
  [twin_tau_2]
    type = ElementAverageValue
    variable = twin_tau_2
  []
  [twin_tau_3]
    type = ElementAverageValue
    variable = twin_tau_3
  []
  [twin_tau_4]
    type = ElementAverageValue
    variable = twin_tau_4
  []
  [twin_tau_5]
    type = ElementAverageValue
    variable = twin_tau_5
  []
  [twin_tau_6]
    type = ElementAverageValue
    variable = twin_tau_6
  []
  [twin_tau_7]
    type = ElementAverageValue
    variable = twin_tau_7
  []
  [twin_tau_8]
    type = ElementAverageValue
    variable = twin_tau_8
  []
  [twin_tau_9]
    type = ElementAverageValue
    variable = twin_tau_9
  []
  [twin_tau_10]
    type = ElementAverageValue
    variable = twin_tau_10
  []
  [twin_tau_11]
    type = ElementAverageValue
    variable = twin_tau_11
  []
[]

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

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

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

  dt = 0.025
  dtmin = 0.0125
  num_steps = 9
[]

[Outputs]
  csv = true
  perf_graph = true
[]

(modules/tensor_mechanics/test/tests/crystal_plasticity/hcp_twinning/modified_kalidindi_for_hcp.i)

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

[Mesh]
  [single_xtal]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 2
    ny = 2
    nz = 2
    elem_type = HEX8
  []
[]

[AuxVariables]
  [temperature]
    initial_condition = 300
  []
  [pk2]
    order = CONSTANT
    family = MONOMIAL
  []
  [fp_xx]
    order = CONSTANT
    family = MONOMIAL
  []
  [fp_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [e_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [total_twin_volume_fraction]
    order = CONSTANT
    family = MONOMIAL
  []
  [twin_volume_fraction_0]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_1]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_2]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_3]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_4]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_5]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_increment_0]
    order = CONSTANT
    family = MONOMIAL
  []
  [twin_increment_1]
    order = CONSTANT
    family = MONOMIAL
  []
  [twin_increment_2]
    order = CONSTANT
    family = MONOMIAL
  []
  [twin_increment_3]
    order = CONSTANT
    family = MONOMIAL
  []
  [twin_increment_4]
    order = CONSTANT
    family = MONOMIAL
  []
  [twin_increment_5]
    order = CONSTANT
    family = MONOMIAL
  []
  [twin_resistance_0]
    order = CONSTANT
    family = MONOMIAL
  []
  [twin_resistance_1]
    order = CONSTANT
    family = MONOMIAL
  []
  [twin_resistance_2]
    order = CONSTANT
    family = MONOMIAL
  []
  [twin_resistance_3]
    order = CONSTANT
    family = MONOMIAL
  []
  [twin_resistance_4]
    order = CONSTANT
    family = MONOMIAL
  []
  [twin_resistance_5]
    order = CONSTANT
    family = MONOMIAL
  []
  [resolved_twin_stress_0]
    order = CONSTANT
    family = MONOMIAL
  []
  [resolved_twin_stress_1]
    order = CONSTANT
    family = MONOMIAL
  []
  [resolved_twin_stress_2]
    order = CONSTANT
    family = MONOMIAL
  []
  [resolved_twin_stress_3]
    order = CONSTANT
    family = MONOMIAL
  []
  [resolved_twin_stress_4]
    order = CONSTANT
    family = MONOMIAL
  []
  [resolved_twin_stress_5]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[Modules/TensorMechanics/Master/all]
  strain = FINITE
  add_variables = true
  generate_output = stress_zz
[]

[AuxKernels]
  [pk2]
    type = RankTwoAux
    variable = pk2
    rank_two_tensor = second_piola_kirchhoff_stress
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  []
  [fp_xx]
    type = RankTwoAux
    variable = fp_xx
    rank_two_tensor = plastic_deformation_gradient
    index_j = 0
    index_i = 0
    execute_on = timestep_end
  []
  [fp_zz]
    type = RankTwoAux
    variable = fp_zz
    rank_two_tensor = plastic_deformation_gradient
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  []
  [e_zz]
    type = RankTwoAux
    variable = e_zz
    rank_two_tensor = total_lagrangian_strain
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  []
  [total_twin_volume_fraction]
    type = MaterialRealAux
    variable = total_twin_volume_fraction
    property = twin_total_volume_fraction_twins
    execute_on = timestep_end
  []
  [twin_volume_fraction_0]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_0
   property = twin_twin_system_volume_fraction
   index = 0
   execute_on = timestep_end
  []
  [twin_volume_fraction_1]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_1
   property = twin_twin_system_volume_fraction
   index = 1
   execute_on = timestep_end
  []
  [twin_volume_fraction_2]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_2
   property = twin_twin_system_volume_fraction
   index = 2
   execute_on = timestep_end
  []
  [twin_volume_fraction_3]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_3
   property = twin_twin_system_volume_fraction
   index = 3
   execute_on = timestep_end
  []
  [twin_volume_fraction_4]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_4
   property = twin_twin_system_volume_fraction
   index = 4
   execute_on = timestep_end
  []
  [twin_volume_fraction_5]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_5
   property = twin_twin_system_volume_fraction
   index = 5
   execute_on = timestep_end
  []
  [twin_resistance_0]
    type = MaterialStdVectorAux
    variable = twin_resistance_0
    property = twin_slip_resistance
    index = 0
    execute_on = timestep_end
  []
  [twin_resistance_1]
    type = MaterialStdVectorAux
    variable = twin_resistance_1
    property = twin_slip_resistance
    index = 1
    execute_on = timestep_end
  []
  [twin_resistance_2]
    type = MaterialStdVectorAux
    variable = twin_resistance_2
    property = twin_slip_resistance
    index = 2
    execute_on = timestep_end
  []
  [twin_resistance_3]
    type = MaterialStdVectorAux
    variable = twin_resistance_3
    property = twin_slip_resistance
    index = 3
    execute_on = timestep_end
  []
  [twin_resistance_4]
    type = MaterialStdVectorAux
    variable = twin_resistance_4
    property = twin_slip_resistance
    index = 4
    execute_on = timestep_end
  []
  [twin_resistance_5]
    type = MaterialStdVectorAux
    variable = twin_resistance_5
    property = twin_slip_resistance
    index = 5
    execute_on = timestep_end
  []
  [twin_increment_0]
    type = MaterialStdVectorAux
    variable = twin_increment_0
    property = twin_slip_increment
    index = 0
    execute_on = timestep_end
  []
  [twin_increment_1]
    type = MaterialStdVectorAux
    variable = twin_increment_1
    property = twin_slip_increment
    index = 1
    execute_on = timestep_end
  []
  [twin_increment_2]
    type = MaterialStdVectorAux
    variable = twin_increment_2
    property = twin_slip_increment
    index = 2
    execute_on = timestep_end
  []
  [twin_increment_3]
    type = MaterialStdVectorAux
    variable = twin_increment_3
    property = twin_slip_increment
    index = 3
    execute_on = timestep_end
  []
  [twin_increment_4]
    type = MaterialStdVectorAux
    variable = twin_increment_4
    property = twin_slip_increment
    index = 4
    execute_on = timestep_end
  []
  [twin_increment_5]
    type = MaterialStdVectorAux
    variable = twin_increment_5
    property = twin_slip_increment
    index = 5
    execute_on = timestep_end
  []
  [twin_tau_0]
    type = MaterialStdVectorAux
    variable = resolved_twin_stress_0
    property = twin_applied_shear_stress
    index = 0
    execute_on = timestep_end
  []
  [twin_tau_1]
    type = MaterialStdVectorAux
    variable = resolved_twin_stress_1
    property = twin_applied_shear_stress
    index = 1
    execute_on = timestep_end
  []
  [twin_tau_2]
    type = MaterialStdVectorAux
    variable = resolved_twin_stress_2
    property = twin_applied_shear_stress
    index = 2
    execute_on = timestep_end
  []
  [twin_tau_3]
    type = MaterialStdVectorAux
    variable = resolved_twin_stress_3
    property = twin_applied_shear_stress
    index = 3
    execute_on = timestep_end
  []
  [twin_tau_4]
    type = MaterialStdVectorAux
    variable = resolved_twin_stress_4
    property = twin_applied_shear_stress
    index = 4
    execute_on = timestep_end
  []
  [twin_tau_5]
    type = MaterialStdVectorAux
    variable = resolved_twin_stress_5
    property = twin_applied_shear_stress
    index = 5
    execute_on = timestep_end
  []
[]

[BCs]
  [symmy]
    type = DirichletBC
    variable = disp_y
    preset = true
    boundary = bottom
    value = 0
  []
  [symmx]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0
  []
  [symmz]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0
  []
  [tdisp]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = '0.01*t'
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeElasticityTensorConstantRotationCP
    C_ijkl = '1.622e5 9.18e4 6.88e4 1.622e5 6.88e4 1.805e5 4.67e4 4.67e4 4.67e4' #alpha Ti, Alankar et al. Acta Materialia 59 (2011) 7003-7009
    fill_method = symmetric9
  []
  [stress]
    type = ComputeMultipleCrystalPlasticityStress
    crystal_plasticity_models = 'twin_xtalpl'
    tan_mod_type = exact
  []
  [twin_xtalpl]
    type = CrystalPlasticityTwinningKalidindiUpdate
    base_name = twin
    crystal_lattice_type = HCP
    unit_cell_dimension = '2.934e-7 2.934e-7 4.657e-7' #Ti, in mm, https://materialsproject.org/materials/mp-46/
    number_slip_systems = 6
    slip_sys_file_name = 'hcp_tensile_twin_systems.txt'
    initial_twin_lattice_friction = 1140
    non_coplanar_coefficient_twin_hardening = 10000
    coplanar_coefficient_twin_hardening = 1000
    characteristic_twin_shear = 0.167
  []
[]

[Postprocessors]
  [stress_zz]
    type = ElementAverageValue
    variable = stress_zz
  []
  [pk2]
    type = ElementAverageValue
    variable = pk2
  []
  [fp_xx]
    type = ElementAverageValue
    variable = fp_xx
  []
  [fp_zz]
    type = ElementAverageValue
    variable = fp_zz
  []
  [e_zz]
    type = ElementAverageValue
    variable = e_zz
  []
  [total_twin_volume_fraction]
    type = ElementAverageValue
    variable = total_twin_volume_fraction
  []
  [twin_volume_fraction_0]
    type = ElementAverageValue
    variable = twin_volume_fraction_0
  []
  [twin_volume_fraction_1]
    type = ElementAverageValue
    variable = twin_volume_fraction_1
  []
  [twin_volume_fraction_2]
    type = ElementAverageValue
    variable = twin_volume_fraction_2
  []
  [twin_volume_fraction_3]
    type = ElementAverageValue
    variable = twin_volume_fraction_3
  []
  [twin_volume_fraction_4]
    type = ElementAverageValue
    variable = twin_volume_fraction_4
  []
  [twin_volume_fraction_5]
    type = ElementAverageValue
    variable = twin_volume_fraction_5
  []
  [twin_resistance_0]
    type = ElementAverageValue
    variable = twin_resistance_0
  []
  [twin_resistance_1]
    type = ElementAverageValue
    variable = twin_resistance_1
  []
  [twin_resistance_2]
    type = ElementAverageValue
    variable = twin_resistance_2
  []
  [twin_resistance_3]
    type = ElementAverageValue
    variable = twin_resistance_3
  []
  [twin_resistance_4]
    type = ElementAverageValue
    variable = twin_resistance_4
  []
  [twin_resistance_5]
    type = ElementAverageValue
    variable = twin_resistance_5
  []
  [twin_increment_0]
    type = ElementAverageValue
    variable = twin_increment_0
  []
  [twin_increment_1]
    type = ElementAverageValue
    variable = twin_increment_1
  []
  [twin_increment_2]
    type = ElementAverageValue
    variable = twin_increment_2
  []
  [twin_increment_3]
    type = ElementAverageValue
    variable = twin_increment_3
  []
  [twin_increment_4]
    type = ElementAverageValue
    variable = twin_increment_4
  []
  [twin_increment_5]
    type = ElementAverageValue
    variable = twin_increment_5
  []
  [twin_tau_0]
    type = ElementAverageValue
    variable = resolved_twin_stress_0
  []
  [twin_tau_1]
    type = ElementAverageValue
    variable = resolved_twin_stress_1
  []
  [twin_tau_2]
    type = ElementAverageValue
    variable = resolved_twin_stress_2
  []
  [twin_tau_3]
    type = ElementAverageValue
    variable = resolved_twin_stress_3
  []
  [twin_tau_4]
    type = ElementAverageValue
    variable = resolved_twin_stress_4
  []
  [twin_tau_5]
    type = ElementAverageValue
    variable = resolved_twin_stress_5
  []
[]

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

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

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

  dt = 0.5
  dtmin = 1.0e-2
  dtmax = 10.0
  end_time = 2.5
[]

[Outputs]
  csv = true
[]

(modules/tensor_mechanics/test/tests/crystal_plasticity/twinning/only_twinning_fcc.i)

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

[Mesh]
  [cube]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 1
    ny = 1
    nz = 2
    elem_type = HEX8
  []
[]

[AuxVariables]
  [fp_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [total_twin_volume_fraction]
    order = CONSTANT
    family = MONOMIAL
  []
  [twin_resistance_4]
    order = CONSTANT
    family = MONOMIAL
  []
  [twin_resistance_10]
    order = CONSTANT
    family = MONOMIAL
  []
  [twin_volume_fraction_0]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_1]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_2]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_3]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_4]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_5]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_6]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_7]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_8]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_9]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_10]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_11]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_tau_4]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_tau_10]
   order = CONSTANT
   family = MONOMIAL
  []
[]

[Modules/TensorMechanics/Master/all]
  strain = FINITE
  add_variables = true
[]

[AuxKernels]
  [fp_zz]
    type = RankTwoAux
    variable = fp_zz
    rank_two_tensor = plastic_deformation_gradient
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  []
  [total_twin_volume_fraction]
    type = MaterialRealAux
    variable = total_twin_volume_fraction
    property = total_volume_fraction_twins
    execute_on = timestep_end
  []
  [twin_resistance_4]
   type = MaterialStdVectorAux
   variable = twin_resistance_4
   property = slip_resistance
   index = 4
   execute_on = timestep_end
  []
  [twin_resistance_10]
   type = MaterialStdVectorAux
   variable = twin_resistance_10
   property = slip_resistance
   index = 10
   execute_on = timestep_end
  []
  [twin_volume_fraction_0]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_0
   property = twin_system_volume_fraction
   index = 0
   execute_on = timestep_end
  []
  [twin_volume_fraction_1]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_1
   property = twin_system_volume_fraction
   index = 1
   execute_on = timestep_end
  []
  [twin_volume_fraction_2]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_2
   property = twin_system_volume_fraction
   index = 2
   execute_on = timestep_end
  []
  [twin_volume_fraction_3]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_3
   property = twin_system_volume_fraction
   index = 3
   execute_on = timestep_end
  []
  [twin_volume_fraction_4]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_4
   property = twin_system_volume_fraction
   index = 4
   execute_on = timestep_end
  []
  [twin_volume_fraction_5]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_5
   property = twin_system_volume_fraction
   index = 5
   execute_on = timestep_end
  []
  [twin_volume_fraction_6]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_6
   property = twin_system_volume_fraction
   index = 6
   execute_on = timestep_end
  []
  [twin_volume_fraction_7]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_7
   property = twin_system_volume_fraction
   index = 7
   execute_on = timestep_end
  []
  [twin_volume_fraction_8]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_8
   property = twin_system_volume_fraction
   index = 8
   execute_on = timestep_end
  []
  [twin_volume_fraction_9]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_9
   property = twin_system_volume_fraction
   index = 9
   execute_on = timestep_end
  []
  [twin_volume_fraction_10]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_10
   property = twin_system_volume_fraction
   index = 10
   execute_on = timestep_end
  []
  [twin_volume_fraction_11]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_11
   property = twin_system_volume_fraction
   index = 11
   execute_on = timestep_end
  []
  [twin_tau_4]
    type = MaterialStdVectorAux
    variable = twin_tau_4
    property = applied_shear_stress
    index = 4
    execute_on = timestep_end
  []
  [twin_tau_10]
    type = MaterialStdVectorAux
    variable = twin_tau_10
    property = applied_shear_stress
    index = 10
    execute_on = timestep_end
  []
[]

[BCs]
  [fix_y]
    type = DirichletBC
    variable = disp_y
    preset = true
    boundary = 'bottom'
    value = 0
  []
  [fix_x]
    type = DirichletBC
    variable = disp_x
    boundary = 'left'
    value = 0
  []
  [fix_z]
    type = DirichletBC
    variable = disp_z
    boundary = 'back'
    value = 0
  []
  [tdisp]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = '5.0e-4*t'
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeElasticityTensorConstantRotationCP
    C_ijkl = '1.08e5 6.034e4 6.034e4 1.08e5 6.03e4 1.08e5 2.86e4 2.86e4 2.86e4' #Tallon and Wolfenden. J. Phys. Chem. Solids (1979)
    fill_method = symmetric9
    euler_angle_1 = 54.74
    euler_angle_2 = 45.0
    euler_angle_3 = 270.0
  []
  [stress]
    type = ComputeMultipleCrystalPlasticityStress
    crystal_plasticity_models = 'twin_only_xtalpl'
    tan_mod_type = exact
    maximum_substep_iteration = 2
  []
  [twin_only_xtalpl]
    type = CrystalPlasticityTwinningKalidindiUpdate
    number_slip_systems = 12
    slip_sys_file_name = 'fcc_input_twinning_systems.txt'
    initial_twin_lattice_friction = 3.0
    non_coplanar_coefficient_twin_hardening = 8e5
    coplanar_coefficient_twin_hardening = 8e4
  []
[]

[Postprocessors]
  [fp_zz]
    type = ElementAverageValue
    variable = fp_zz
  []
  [total_twin_volume_fraction]
    type = ElementAverageValue
    variable = total_twin_volume_fraction
  []
  [twin_resistance_4]
    type = ElementAverageValue
    variable = twin_resistance_4
  []
  [twin_resistance_10]
    type = ElementAverageValue
    variable = twin_resistance_10
  []
  [twin_volume_fraction_0]
    type = ElementAverageValue
    variable = twin_volume_fraction_0
  []
  [twin_volume_fraction_1]
    type = ElementAverageValue
    variable = twin_volume_fraction_1
  []
  [twin_volume_fraction_2]
    type = ElementAverageValue
    variable = twin_volume_fraction_2
  []
  [twin_volume_fraction_3]
    type = ElementAverageValue
    variable = twin_volume_fraction_3
  []
  [twin_volume_fraction_4]
    type = ElementAverageValue
    variable = twin_volume_fraction_4
  []
  [twin_volume_fraction_5]
    type = ElementAverageValue
    variable = twin_volume_fraction_5
  []
  [twin_volume_fraction_6]
    type = ElementAverageValue
    variable = twin_volume_fraction_6
  []
  [twin_volume_fraction_7]
    type = ElementAverageValue
    variable = twin_volume_fraction_7
  []
  [twin_volume_fraction_8]
    type = ElementAverageValue
    variable = twin_volume_fraction_8
  []
  [twin_volume_fraction_9]
    type = ElementAverageValue
    variable = twin_volume_fraction_9
  []
  [twin_volume_fraction_10]
    type = ElementAverageValue
    variable = twin_volume_fraction_10
  []
  [twin_volume_fraction_11]
    type = ElementAverageValue
    variable = twin_volume_fraction_11
  []
  [twin_tau_4]
    type = ElementAverageValue
    variable = twin_tau_4
  []
  [twin_tau_10]
    type = ElementAverageValue
    variable = twin_tau_10
  []
[]

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

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

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

  dt = 0.025
  dtmin = 0.0125
  num_steps = 8
[]

[Outputs]
  csv = true
  perf_graph = true
[]

(modules/tensor_mechanics/test/tests/crystal_plasticity/hcp_single_crystal/update_method_hcp_no_negative_aprismatic.i)

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

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

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

[Modules/TensorMechanics/Master/all]
  strain = FINITE
  add_variables = true
[]

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

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

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

[Materials]
  [elasticity_tensor]
    type = ComputeElasticityTensorConstantRotationCP
    C_ijkl = '1.622e5 9.18e4 6.88e4 1.622e5 6.88e4 1.805e5 4.67e4 4.67e4 4.67e4' #alpha Ti, Alankar et al. Acta Materialia 59 (2011) 7003-7009
    fill_method = symmetric9
    euler_angle_1 = 164.5
    euler_angle_2 =  90.0
    euler_angle_3 =  15.3
  []
  [stress]
    type = ComputeMultipleCrystalPlasticityStress
    crystal_plasticity_models = 'trial_xtalpl'
    tan_mod_type = exact
  []
  [trial_xtalpl]
    type = CrystalPlasticityHCPDislocationSlipBeyerleinUpdate
    number_slip_systems = 15
    slip_sys_file_name = hcp_aprismatic_capyramidal_slip_sys.txt
    unit_cell_dimension = '2.934e-7 2.934e-7 4.657e-7' #Ti, in mm, https://materialsproject.org/materials/mp-46/
    temperature = temperature
    initial_forest_dislocation_density = 15.0
    zero_tol = 1.1
    initial_substructure_density = 1.0e3
    slip_system_modes = 2
    number_slip_systems_per_mode = '3 12'
    lattice_friction_per_mode = '0.5 5'
    effective_shear_modulus_per_mode = '4.7e4 4.7e4' #Ti, in MPa, https://materialsproject.org/materials/mp-46/
    burgers_vector_per_mode = '2.934e-7 6.586e-7' #Ti, in mm, https://materialsproject.org/materials/mp-46/
    slip_generation_coefficient_per_mode = '-1e5 -2e7'
    normalized_slip_activiation_energy_per_mode = '4e-3 3e-2'
    slip_energy_proportionality_factor_per_mode = '330 100'
    substructure_rate_coefficient_per_mode = '400 100'
    applied_strain_rate = 0.001
    gamma_o = 1.0e-3
    Hall_Petch_like_constant_per_mode = '2e-3 2e-3' #minimize impact
    grain_size = 20.0e-3 #20 microns
  []
[]

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

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

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

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

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

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

  dt = 0.00375
  dtmin = 1.0e-4
  dtmax = 0.1
  num_steps = 9
[]

[Outputs]
  csv = true
[]

(modules/tensor_mechanics/test/tests/crystal_plasticity/twinning/upper_twin_fraction_limit.i)

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

[Mesh]
  [cube]
    type = GeneratedMeshGenerator
    dim = 3
    elem_type = HEX8
  []
[]

[AuxVariables]
  [fp_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [total_twin_volume_fraction]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_4]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_10]
    order = CONSTANT
    family = MONOMIAL
  []
  [twin_volume_fraction_4]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_10]
   order = CONSTANT
   family = MONOMIAL
  []
[]

[Modules/TensorMechanics/Master/all]
  strain = FINITE
  add_variables = true
[]

[AuxKernels]
  [fp_zz]
    type = RankTwoAux
    variable = fp_zz
    rank_two_tensor = plastic_deformation_gradient
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  []
  [total_twin_volume_fraction]
    type = MaterialRealAux
    variable = total_twin_volume_fraction
    property = total_volume_fraction_twins
    execute_on = timestep_end
  []
  [slip_increment_4]
   type = MaterialStdVectorAux
   variable = slip_increment_4
   property = slip_increment
   index = 4
   execute_on = timestep_end
  []
  [slip_increment_10]
   type = MaterialStdVectorAux
   variable = slip_increment_10
   property = slip_increment
   index = 10
   execute_on = timestep_end
  []
  [twin_volume_fraction_4]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_4
   property = twin_system_volume_fraction
   index = 4
   execute_on = timestep_end
  []
  [twin_volume_fraction_10]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_10
   property = twin_system_volume_fraction
   index = 10
   execute_on = timestep_end
  []
[]

[BCs]
  [fix_y]
    type = DirichletBC
    variable = disp_y
    preset = true
    boundary = 'bottom'
    value = 0
  []
  [fix_x]
    type = DirichletBC
    variable = disp_x
    boundary = 'left'
    value = 0
  []
  [fix_z]
    type = DirichletBC
    variable = disp_z
    boundary = 'back'
    value = 0
  []
  [tdisp]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = '5.0e-4*t'
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeElasticityTensorConstantRotationCP
    C_ijkl = '1.08e5 6.034e4 6.034e4 1.08e5 6.03e4 1.08e5 2.86e4 2.86e4 2.86e4' #Tallon and Wolfenden. J. Phys. Chem. Solids (1979)
    fill_method = symmetric9
    euler_angle_1 = 54.74
    euler_angle_2 = 45.0
    euler_angle_3 = 270.0
  []
  [stress]
    type = ComputeMultipleCrystalPlasticityStress
    crystal_plasticity_models = 'twin_only_xtalpl'
    tan_mod_type = exact
  []
  [twin_only_xtalpl]
    type = CrystalPlasticityTwinningKalidindiUpdate
    number_slip_systems = 12
    slip_sys_file_name = 'fcc_input_twinning_systems.txt'
    initial_twin_lattice_friction = 1.5
    upper_limit_twin_volume_fraction = 1e-7
    stol = 0.01
    print_state_variable_convergence_error_messages = true
  []
[]

[Postprocessors]
  [fp_zz]
    type = ElementAverageValue
    variable = fp_zz
  []
  [total_twin_volume_fraction]
    type = ElementAverageValue
    variable = total_twin_volume_fraction
  []
  [slip_increment_4]
    type = ElementAverageValue
    variable = slip_increment_4
  []
  [slip_increment_10]
    type = ElementAverageValue
    variable = slip_increment_10
  []
  [twin_volume_fraction_4]
    type = ElementAverageValue
    variable = twin_volume_fraction_4
  []
  [twin_volume_fraction_10]
    type = ElementAverageValue
    variable = twin_volume_fraction_10
  []
[]

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

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

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

  dt = 0.05
  dtmin = 1e-5
  end_time = 0.18
[]

[Outputs]
  csv = true
  perf_graph = true
[]

(modules/tensor_mechanics/test/tests/crystal_plasticity/twinning/coplanar_twin_hardening.i)

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

[Mesh]
  [cube]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 2
    ny = 2
    nz = 2
    elem_type = HEX8
  []
[]

[AuxVariables]
  [total_twin_volume_fraction]
    order = CONSTANT
    family = MONOMIAL
  []
  [twin_resistance_0]
    order = CONSTANT
    family = MONOMIAL
  []
  [twin_resistance_1]
    order = CONSTANT
    family = MONOMIAL
  []
  [twin_resistance_2]
    order = CONSTANT
    family = MONOMIAL
  []
  [twin_resistance_3]
    order = CONSTANT
    family = MONOMIAL
  []
  [twin_volume_fraction_0]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_1]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_2]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_3]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_tau_0]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_tau_1]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_tau_2]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_tau_3]
   order = CONSTANT
   family = MONOMIAL
  []
[]

[Modules/TensorMechanics/Master/all]
  strain = FINITE
  add_variables = true
  generate_output = stress_zz
[]

[AuxKernels]
  [total_twin_volume_fraction]
    type = MaterialRealAux
    variable = total_twin_volume_fraction
    property = total_volume_fraction_twins
    execute_on = timestep_end
  []
  [twin_resistance_0]
   type = MaterialStdVectorAux
   variable = twin_resistance_0
   property = slip_resistance
   index = 0
   execute_on = timestep_end
  []
  [twin_resistance_1]
   type = MaterialStdVectorAux
   variable = twin_resistance_1
   property = slip_resistance
   index = 1
   execute_on = timestep_end
  []
  [twin_resistance_2]
   type = MaterialStdVectorAux
   variable = twin_resistance_2
   property = slip_resistance
   index = 2
   execute_on = timestep_end
  []
  [twin_resistance_3]
   type = MaterialStdVectorAux
   variable = twin_resistance_3
   property = slip_resistance
   index = 3
   execute_on = timestep_end
  []
  [twin_volume_fraction_0]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_0
   property = twin_system_volume_fraction
   index = 0
   execute_on = timestep_end
  []
  [twin_volume_fraction_1]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_1
   property = twin_system_volume_fraction
   index = 1
   execute_on = timestep_end
  []
  [twin_volume_fraction_2]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_2
   property = twin_system_volume_fraction
   index = 2
   execute_on = timestep_end
  []
  [twin_volume_fraction_3]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_3
   property = twin_system_volume_fraction
   index = 3
   execute_on = timestep_end
  []
  [twin_tau_0]
    type = MaterialStdVectorAux
    variable = twin_tau_0
    property = applied_shear_stress
    index = 0
    execute_on = timestep_end
  []
  [twin_tau_1]
    type = MaterialStdVectorAux
    variable = twin_tau_1
    property = applied_shear_stress
    index = 1
    execute_on = timestep_end
  []
  [twin_tau_2]
    type = MaterialStdVectorAux
    variable = twin_tau_2
    property = applied_shear_stress
    index = 2
    execute_on = timestep_end
  []
  [twin_tau_3]
    type = MaterialStdVectorAux
    variable = twin_tau_3
    property = applied_shear_stress
    index = 3
    execute_on = timestep_end
  []
[]

[BCs]
  [fix_y]
    type = DirichletBC
    variable = disp_y
    preset = true
    boundary = 'bottom'
    value = 0
  []
  [fix_x]
    type = DirichletBC
    variable = disp_x
    boundary = 'left'
    value = 0
  []
  [fix_z]
    type = DirichletBC
    variable = disp_z
    boundary = 'back'
    value = 0
  []
  [tdisp]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = '-1.0e-3*t'
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeElasticityTensorConstantRotationCP
    C_ijkl = '1.08e5 6.034e4 6.034e4 1.08e5 6.03e4 1.08e5 2.86e4 2.86e4 2.86e4' #Tallon and Wolfenden. J. Phys. Chem. Solids (1979)
    fill_method = symmetric9
  []
  [stress]
    type = ComputeMultipleCrystalPlasticityStress
    crystal_plasticity_models = 'twin_only_xtalpl'
    tan_mod_type = exact
  []
  [twin_only_xtalpl]
    type = CrystalPlasticityTwinningKalidindiUpdate
    number_slip_systems = 4
    slip_sys_file_name = 'select_twin_systems_verify_hardening.txt'
    initial_twin_lattice_friction = 6.0
    non_coplanar_coefficient_twin_hardening = 0
    non_coplanar_twin_hardening_exponent = 0
    coplanar_coefficient_twin_hardening = 8e8
  []
[]

[Postprocessors]
  [stress_zz]
    type = ElementAverageValue
    variable = stress_zz
  []
  [total_twin_volume_fraction]
    type = ElementAverageValue
    variable = total_twin_volume_fraction
  []
  [twin_resistance_0]
    type = ElementAverageValue
    variable = twin_resistance_0
  []
  [twin_resistance_1]
    type = ElementAverageValue
    variable = twin_resistance_1
  []
  [twin_resistance_2]
    type = ElementAverageValue
    variable = twin_resistance_2
  []
  [twin_resistance_3]
    type = ElementAverageValue
    variable = twin_resistance_3
  []
  [twin_volume_fraction_0]
    type = ElementAverageValue
    variable = twin_volume_fraction_0
  []
  [twin_volume_fraction_1]
    type = ElementAverageValue
    variable = twin_volume_fraction_1
  []
  [twin_volume_fraction_2]
    type = ElementAverageValue
    variable = twin_volume_fraction_2
  []
  [twin_volume_fraction_3]
    type = ElementAverageValue
    variable = twin_volume_fraction_3
  []
[]

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

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

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

  dt = 0.05
  dtmin = 1e-6
  dtmax = 10.0
  num_steps = 4
[]

[Outputs]
  csv = true
  perf_graph = true
[]

(modules/tensor_mechanics/test/tests/crystal_plasticity/stress_update_material_based/patch_recovery.i)

[GlobalParams]
  displacements = 'ux uy'
[]

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

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

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

[Modules/TensorMechanics/Master/all]
  strain = FINITE
  add_variables = true
[]

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

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

[Materials]
  [elasticity_tensor]
    type = ComputeElasticityTensorConstantRotationCP
    C_ijkl = '1.684e5 1.214e5 1.214e5 1.684e5 1.214e5 1.684e5 0.754e5 0.754e5 0.754e5'
    fill_method = symmetric9
  []
  [stress]
    type = ComputeMultipleCrystalPlasticityStress
    crystal_plasticity_models = 'trial_xtalpl'
    tan_mod_type = exact
  []
  [trial_xtalpl]
    type = CrystalPlasticityKalidindiUpdate
    number_slip_systems = 12
    slip_sys_file_name = input_slip_sys.txt
  []
[]

[UserObjects]
  [stress_xx_patch]
    type = NodalPatchRecoveryMaterialProperty
    patch_polynomial_order = FIRST
    property = 'stress'
    component = '0 0'
    execute_on = 'TIMESTEP_END'
  []
  [stress_yy_patch]
    type = NodalPatchRecoveryMaterialProperty
    patch_polynomial_order = FIRST
    property = 'stress'
    component = '1 1'
    execute_on = 'TIMESTEP_END'
  []
[]

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

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

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

[Outputs]
  exodus = true
[]

(modules/tensor_mechanics/test/tests/crystal_plasticity/hcp_single_crystal/update_method_hcp_no_substructure.i)

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

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 2
  ny = 2
  nz = 2
  elem_type = HEX8
[]

[AuxVariables]
  [temperature]
    initial_condition = 300
  []
  [pk2]
    order = CONSTANT
    family = MONOMIAL
  []
  [resolved_shear_stress_3]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_resistance_3]
    order = CONSTANT
    family = MONOMIAL
  []
  [substructure_density]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[Modules/TensorMechanics/Master/all]
  strain = FINITE
  add_variables = true
[]

[AuxKernels]
  [pk2]
    type = RankTwoAux
    variable = pk2
    rank_two_tensor = second_piola_kirchhoff_stress
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  []
  [tau_3]
    type = MaterialStdVectorAux
    variable = resolved_shear_stress_3
    property = applied_shear_stress
    index = 3
    execute_on = timestep_end
  []
  [slip_resistance_3]
    type = MaterialStdVectorAux
    variable = slip_resistance_3
    property = slip_resistance
    index = 3
    execute_on = timestep_end
  []
  [substructure_density]
    type = MaterialRealAux
    variable = substructure_density
    property = total_substructure_density
    execute_on = timestep_end
  []
[]

[BCs]
  [symmy]
    type = DirichletBC
    variable = disp_y
    preset = true
    boundary = bottom
    value = 0
  []
  [symmx]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0
  []
  [symmz]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0
  []
  [tdisp]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = '0.001*t'
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeElasticityTensorConstantRotationCP
    C_ijkl = '1.622e5 9.18e4 6.88e4 1.622e5 6.88e4 1.805e5 4.67e4 4.67e4 4.67e4' #alpha Ti, Alankar et al. Acta Materialia 59 (2011) 7003-7009
    fill_method = symmetric9
  []
  [stress]
    type = ComputeMultipleCrystalPlasticityStress
    crystal_plasticity_models = 'trial_xtalpl'
    tan_mod_type = exact
  []
  [trial_xtalpl]
    type = CrystalPlasticityHCPDislocationSlipBeyerleinUpdate
    number_slip_systems = 15
    slip_sys_file_name = hcp_aprismatic_capyramidal_slip_sys.txt
    unit_cell_dimension = '2.934e-7 2.934e-7 4.657e-7'
    temperature = temperature
    initial_forest_dislocation_density = 15.0e5
    initial_substructure_density = 1.0 #artifically low for specific test
    slip_system_modes = 2
    number_slip_systems_per_mode = '3 12'
    lattice_friction_per_mode = '100 200'
    effective_shear_modulus_per_mode = '5e4 5e4'
    burgers_vector_per_mode = '2.934e-7 6.586e-7' #Ti, in mm, https://materialsproject.org/materials/mp-46/
    slip_generation_coefficient_per_mode = '1e5 2e7'
    normalized_slip_activiation_energy_per_mode = '4e-3 3e-2'
    slip_energy_proportionality_factor_per_mode = '300 100'
    substructure_rate_coefficient_per_mode = '-355 -0.4' #artifical, non-physical values for testing purposes
    applied_strain_rate = 0.001
    gamma_o = 1.0e-3
    Hall_Petch_like_constant_per_mode = '1 1'
    grain_size = 20.0e-3 #20 microns
  []
[]

[Postprocessors]
  [pk2]
    type = ElementAverageValue
    variable = pk2
  []
  [tau_3]
    type = ElementAverageValue
    variable = resolved_shear_stress_3
  []
  [slip_resistance_3]
    type = ElementAverageValue
    variable = slip_resistance_3
  []
  [substructure_density]
    type = ElementAverageValue
    variable = substructure_density
  []
[]

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

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

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

  dt = 0.5
  dtmin = 1.0e-2
  dtmax = 10.0
  end_time = 2.5
[]

[Outputs]
  csv = true
[]

Description
Rotation Tensor Conventions
Example Input File Syntax
Input Parameters
Input Files
References

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