CrystalPlasticityKalidindiUpdate

Kalidindi version of homogeneous crystal plasticity.

CrystalPlasticityKalidindiUpdate is designed to be used in conjunction with the ComputeMultipleCrystalPlasticityStress class to calculate the response of a FCC crystalline solid. Details about the algorithm and specific stress and strain measures used in the CrystalPlasticityUpdate base class are given on the documentation page for ComputeMultipleCrystalPlasticityStress.

Constitutive Model Definition

The self and latent hardening crystal plasticity model developed by Kalidindi et al. (1992) is implemented in this class. Here the slip rate is given as a power law relationship: $(1)var element = document.getElementById("moose-equation-00ee103e-fcc4-4b21-9384-71c927b9b497");katex.render(" \\dot{\\gamma}^{\\alpha} = \\dot{\\gamma}_o \\left| \\frac{\\tau^{\\alpha}}{g^{\\alpha}} \\right|^{1/m} sign \\left( \\tau^{\\alpha} \\right)", element, {displayMode:true,throwOnError:false});$ where $var element = document.getElementById("moose-equation-45ea8c29-b61d-4486-aaea-b91fe9f578ee");katex.render("\\dot{\\gamma}_o", element, {displayMode:false,throwOnError:false});$ is a reference slip rate, $var element = document.getElementById("moose-equation-82c3dd4f-dbe1-4f61-a5c7-be2f78336f11");katex.render("\\tau^{\\alpha}", element, {displayMode:false,throwOnError:false});$ is the applied shear stress on each slip system $var element = document.getElementById("moose-equation-de05fe37-5e57-4282-bafb-9db8a1de60d5");katex.render("\\alpha", element, {displayMode:false,throwOnError:false});$ , $var element = document.getElementById("moose-equation-9110a04b-5986-416d-8ad8-ffb942325b42");katex.render("g^{\\alpha}", element, {displayMode:false,throwOnError:false});$ is the slip system strength, or resistance to slip, and $var element = document.getElementById("moose-equation-0170b64e-3064-4098-8e8e-73141a0d5b77");katex.render("m", element, {displayMode:false,throwOnError:false});$ is the strain rate sensitivity exponent. The strength of each slip system is solved with an iterative process as a function of the slip increment $(2)var element = document.getElementById("moose-equation-bda4645b-a3ed-40e7-b738-35ab672b0df9");katex.render(" g^{\\alpha} = g_o + \\Delta \\gamma^{\\alpha} q^{\\alpha \\beta} h _o \\left| 1 - \\frac{g^{\\alpha}}{g_{sat}} \\right|^a sign \\left( 1 - \\frac{g^{\\alpha}}{g_{sat}} \\right)", element, {displayMode:true,throwOnError:false});$ where $var element = document.getElementById("moose-equation-57d528e1-3471-47ed-9a5c-4d16d94decfb");katex.render("q^{\\alpha \\beta}", element, {displayMode:false,throwOnError:false});$ is a hardening coefficient matrix that accounts for the different in self and latent hardening, Eq. (3), $var element = document.getElementById("moose-equation-a7f5f79e-5e27-44d0-89ac-45fa8dcf90d7");katex.render("h_o", element, {displayMode:false,throwOnError:false});$ is an initial hardening term, $var element = document.getElementById("moose-equation-7a578474-2c10-4029-bf80-ade755a402d8");katex.render("g_{sat}", element, {displayMode:false,throwOnError:false});$ is a constant saturated hardening value, and $var element = document.getElementById("moose-equation-004ceeaa-66ff-40a4-a4f6-b957f115d496");katex.render("a", element, {displayMode:false,throwOnError:false});$ is the hardening exponent (Kalidindi et al., 1992).

The self and latent hardening for the assumed FCC system is given as $(3)var element = document.getElementById("moose-equation-d345f33a-5c4e-4cd5-8ac8-8b506d7ab615");katex.render(" q^{\\alpha \\beta} = \\begin{Bmatrix} 1.0 & q & q & q \\\\ q & 1.0 & q & q \\\\ q & q & 1.0 & q \\\\ q & q & q & 1.0 \\end{Bmatrix}", element, {displayMode:true,throwOnError:false});$ where $var element = document.getElementById("moose-equation-d7a3c5d0-d024-4319-93d2-b92565e1f43b");katex.render("q", element, {displayMode:false,throwOnError:false});$ is a constant value of latent hardening among non-coplanar slip systems. In Eq. (3) the slip systems which share the same slip plane normal (e.g. $var element = document.getElementById("moose-equation-6c4451a3-7137-40c1-a3d3-169d896bca9e");katex.render("[\\bar{1}11]", element, {displayMode:false,throwOnError:false});$ ) are coplanar and grouped together with a latent hardening rate of unity (Kalidindi et al., 1992). Each matrix entry in Eq. (3) represents the interaction among two different coplanar slip system groups, for a total of six slip systems (Kalidindi et al., 1992).

Connection to Twinning Constitutive Models

In simulations where both twin propagation and dislocation slip constitutive models are included, the influence of the twin propagation on the plastic velocity gradient is implemented as a fraction of the total twin volume fraction (Kalidindi, 2001) $var element = document.getElementById("moose-equation-a280a5fb-3e0f-4b90-b191-72238602f5d3");katex.render("L^P = \\left(1 - {f_{total}}_{(n-1)} \\right) \\sum_{\\alpha}^{slip} \\dot{\\gamma}^{\\alpha} S^{\\alpha}_o + \\sum_{\\beta}^{twin} \\dot{f}^{\\beta}\\gamma_{tw}S^{\\beta}_o", element, {displayMode:true,throwOnError:false});$ where f $var element = document.getElementById("moose-equation-b444b572-b49a-4f0d-9f49-aff34dc41fe9");katex.render("_{total}", element, {displayMode:false,throwOnError:false});$ is the sum of the twin volume fraction on all twin systems, $var element = document.getElementById("moose-equation-7facf8b7-c380-4d7e-8e68-0b81430299a0");katex.render("\\dot{\\gamma}^{\\alpha}", element, {displayMode:false,throwOnError:false});$ is the plastic shear rate due to dislocation slip, S $var element = document.getElementById("moose-equation-1f9eb41c-2ffc-479b-9b89-7e36ae69f2dd");katex.render("^{\\alpha}_o", element, {displayMode:false,throwOnError:false});$ is the Schmid tensor for the slip systems, and S $var element = document.getElementById("moose-equation-64f7c2f1-857f-4135-b18f-11247d8c6beb");katex.render("^{\\beta}_o", element, {displayMode:false,throwOnError:false});$ is the Schmid tensor for the twinning system. Note that the value of the total volume fraction of twins lags by single timestep. The use of this lagged value is designated by the $var element = document.getElementById("moose-equation-c02ed7a7-65be-4f3f-a423-cf146536d1e5");katex.render("(n-1)", element, {displayMode:false,throwOnError:false});$ subscript. This modification requires that the name for the total twin volume fraction material property be provided to the dislocation slip constitutive model as shown below.

Example Input File Syntax

[./trial_xtalpl]
  type = CrystalPlasticityKalidindiUpdate
  number_slip_systems = 12
  slip_sys_file_name = input_slip_sys.txt
[../]

CrystalPlasticityKalidindiUpdate must be run in conjunction with the crystal plasticity specific stress calculator as shown below:

[./stress]
  type = ComputeMultipleCrystalPlasticityStress
  crystal_plasticity_models = 'trial_xtalpl'
  tan_mod_type = exact
[../]

In simulations which couple this dislocation slip constitutive model with a twin propagation model, such as CrystalPlasticityTwinningKalidindiUpdate, the name of the total twin volume fraction material property must be supplied in the input file:

[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'
[]

Input Parameters

number_slip_systemsThe total number of possible active slip systems for the crystalline material
C++ Type:unsigned int
Controllable:No
Description:The total number of possible active slip systems for the crystalline material
slip_sys_file_nameName of the file containing the slip systems, one slip system per row, with the slip plane normal given before the slip plane direction.
C++ Type:FileName
Controllable:No
Description:Name of the file containing the slip systems, one slip system per row, with the slip plane normal given before the slip plane direction.

Required Parameters

ao0.001slip rate coefficient
Default:0.001
C++ Type:double
Controllable:No
Description:slip rate coefficient
base_nameOptional parameter that allows the user to define multiple crystal plasticity mechanisms
C++ Type:std::string
Controllable:No
Description:Optional parameter that allows the user to define multiple crystal plasticity mechanisms
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 object applies
C++ Type:std::vector<BoundaryName>
Controllable:No
Description:The list of boundaries (ids or names) from the mesh where this object applies
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
crystal_lattice_typeFCCCrystal lattice type or representative unit cell, i.e., BCC, FCC, HCP, etc.
Default:FCC
C++ Type:MooseEnum
Options:BCC, FCC, HCP
Controllable:No
Description:Crystal lattice type or representative unit cell, i.e., BCC, FCC, HCP, etc.
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.
gss_a2.5coefficient for hardening
Default:2.5
C++ Type:double
Controllable:No
Description:coefficient for hardening
gss_initial60.8initial lattice friction strength of the material
Default:60.8
C++ Type:double
Controllable:No
Description:initial lattice friction strength of the material
h541.5hardening constants
Default:541.5
C++ Type:double
Controllable:No
Description:hardening constants
number_cross_slip_directions0Quanity of unique slip directions, used to determine cross slip familes
Default:0
C++ Type:double
Controllable:No
Description:Quanity of unique slip directions, used to determine cross slip familes
number_cross_slip_planes0Quanity of slip planes belonging to a single cross slip direction; used to determine cross slip families
Default:0
C++ Type:double
Controllable:No
Description:Quanity of slip planes belonging to a single cross slip direction; used to determine cross slip families
print_state_variable_convergence_error_messagesFalseWhether or not to print warning messages from the crystal plasticity specific convergence checks on both the constiutive model internal state variables.
Default:False
C++ Type:bool
Controllable:No
Description:Whether or not to print warning messages from the crystal plasticity specific convergence checks on both the constiutive model internal state variables.
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.
r1Latent hardening coefficient
Default:1
C++ Type:double
Controllable:No
Description:Latent hardening coefficient
resistance_tol0.01Constitutive slip system resistance relative residual tolerance for each individual constitutive model
Default:0.01
C++ Type:double
Controllable:No
Description:Constitutive slip system resistance relative residual tolerance for each individual constitutive model
slip_increment_tolerance0.02Maximum allowable slip in an increment for each individual constitutive model
Default:0.02
C++ Type:double
Controllable:No
Description:Maximum allowable slip in an increment for each individual constitutive model
stol0.01Constitutive internal state variable relative change tolerance
Default:0.01
C++ Type:double
Controllable:No
Description:Constitutive internal state variable relative change tolerance
t_sat109.8saturated slip system strength
Default:109.8
C++ Type:double
Controllable:No
Description:saturated slip system strength
total_twin_volume_fractionTotal twin volume fraction, if twinning is considered in the simulation
C++ Type:MaterialPropertyName
Controllable:No
Description:Total twin volume fraction, if twinning is considered in the simulation
unit_cell_dimension1 1 1 The dimension of the unit cell along three directions, where a cubic unit cell is assumed for cubic crystals and a hexagonal unit cell (a, a, c) is assumed for HCP crystals. These dimensions will be taken into account while computing the slip systems. Default size is 1.0 along all three directions.
Default:1 1 1
C++ Type:std::vector<double>
Controllable:No
Description:The dimension of the unit cell along three directions, where a cubic unit cell is assumed for cubic crystals and a hexagonal unit cell (a, a, c) is assumed for HCP crystals. These dimensions will be taken into account while computing the slip systems. Default size is 1.0 along all three directions.
xm0.1exponent for slip rate
Default:0.1
C++ Type:double
Controllable:No
Description:exponent for slip rate
zero_tol1e-12Tolerance for residual check when variable value is zero for each individual constitutive model
Default:1e-12
C++ Type:double
Controllable:No
Description:Tolerance for residual check when variable value is zero for each individual constitutive model

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 where 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 where you would like to restrict the output of variables(s) associated with this object

Outputs Parameters

References

Surya R Kalidindi. Modeling anisotropic strain hardening and deformation textures in low stacking fault energy fcc metals. International Journal of Plasticity, 17:837–860, 2001.

@article{kalidindi2001,
    author = "Kalidindi, Surya R",
    title = "Modeling anisotropic strain hardening and deformation textures in low stacking fault energy fcc metals",
    journal = "International Journal of Plasticity",
    volume = "17",
    pages = "837--860",
    year = "2001",
    publisher = "Elsevier"
}

Surya R Kalidindi, Curt A Bronkhorst, and Lallit Anand. Crystallographic texture evolution in bulk deformation processing of fcc metals. Journal of the Mechanics and Physics of Solids, 40(3):537–569, 1992.

@article{kalidindi1992,
    author = "Kalidindi, Surya R and Bronkhorst, Curt A and Anand, Lallit",
    title = "Crystallographic texture evolution in bulk deformation processing of FCC metals",
    journal = "Journal of the Mechanics and Physics of Solids",
    volume = "40",
    number = "3",
    pages = "537--569",
    year = "1992",
    publisher = "Elsevier"
}

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

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

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

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

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

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

[Outputs]
  exodus = true
[]

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

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

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

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

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

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

[Outputs]
  exodus = true
[]

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

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

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

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

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

  dt = 0.005
  dtmin = 0.01
  num_steps = 10
[]

[Outputs]
  csv = true
  perf_graph = true
[]