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: $(1)var element = document.getElementById("moose-equation-1cdb3ff1-98f8-4c7a-8f4e-318839db5588");katex.render(" \\dot{\\gamma}^{\\alpha} = \\dot{\\gamma}_o \\left| \\frac{\\tau^{\\alpha}}{g^{\\alpha}} \\right|^{1/m} sign \\left( \\tau^{\\alpha} \\right)", element, {displayMode:true,throwOnError:false,macros:{"\\pf":"\\frac{\\partial #1}{\\partial #2}"}});$ where $var element = document.getElementById("moose-equation-9b2739a5-1bb0-4321-aa8f-a0ea32fa2407");katex.render("\\dot{\\gamma}_o", element, {displayMode:false,throwOnError:false,macros:{"\\pf":"\\frac{\\partial #1}{\\partial #2}"}});$ is a reference slip rate, $var element = document.getElementById("moose-equation-25358ada-2453-4f49-894d-ec54adb0e06b");katex.render("\\tau^{\\alpha}", element, {displayMode:false,throwOnError:false,macros:{"\\pf":"\\frac{\\partial #1}{\\partial #2}"}});$ is the applied shear stress on each slip system $var element = document.getElementById("moose-equation-573037be-a141-428b-a2df-61b34efd67d0");katex.render("\\alpha", element, {displayMode:false,throwOnError:false,macros:{"\\pf":"\\frac{\\partial #1}{\\partial #2}"}});$ , $var element = document.getElementById("moose-equation-129adc8d-a7b3-4667-a38a-61049da5e50b");katex.render("g^{\\alpha}", element, {displayMode:false,throwOnError:false,macros:{"\\pf":"\\frac{\\partial #1}{\\partial #2}"}});$ is the slip system strength, or resistance to slip, and $var element = document.getElementById("moose-equation-1ccfc1c4-469e-4910-81aa-7d4a8b43f225");katex.render("m", element, {displayMode:false,throwOnError:false,macros:{"\\pf":"\\frac{\\partial #1}{\\partial #2}"}});$ 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 $(2)var element = document.getElementById("moose-equation-780ba259-22a2-498b-b583-f7fe2ce0fe91");katex.render(" g^{\\alpha} = g_o + \\Delta \\gamma^{\\alpha} q^{\\alpha \\beta} h _o \\left| 1 - \\frac{g^{\\alpha}}{g_{sat}} \\right|^a sign \\left( 1 - \\frac{g^{\\alpha}}{g_{sat}} \\right)", element, {displayMode:true,throwOnError:false,macros:{"\\pf":"\\frac{\\partial #1}{\\partial #2}"}});$ where $var element = document.getElementById("moose-equation-947b1f5f-43d8-4e71-b508-c07b264d91c4");katex.render("q^{\\alpha \\beta}", element, {displayMode:false,throwOnError:false,macros:{"\\pf":"\\frac{\\partial #1}{\\partial #2}"}});$ is a hardening coefficient matrix that accounts for the different in self and latent hardening, Eq. (3), $var element = document.getElementById("moose-equation-bdf3fec9-587a-48bd-96ea-f971e9e1ff23");katex.render("h_o", element, {displayMode:false,throwOnError:false,macros:{"\\pf":"\\frac{\\partial #1}{\\partial #2}"}});$ is an initial hardening term, $var element = document.getElementById("moose-equation-ad934ce1-6c7e-46c0-b30b-8abfcbae3e0f");katex.render("g_{sat}", element, {displayMode:false,throwOnError:false,macros:{"\\pf":"\\frac{\\partial #1}{\\partial #2}"}});$ is a constant saturated hardening value, and $var element = document.getElementById("moose-equation-6805c589-5904-46bd-a25a-860af5951069");katex.render("a", element, {displayMode:false,throwOnError:false,macros:{"\\pf":"\\frac{\\partial #1}{\\partial #2}"}});$ is the hardening exponent (Kalidindi et al., 1992).

The self and latent hardening for the assumed FCC system is given as $(3)var element = document.getElementById("moose-equation-b868ff6a-f374-4d04-92b6-5c45f429b0a0");katex.render(" q^{\\alpha \\beta} = \\begin{Bmatrix} 1.0 & q & q & q \\\\ q & 1.0 & q & q \\\\ q & q & 1.0 & q \\\\ q & q & q & 1.0 \\end{Bmatrix}", element, {displayMode:true,throwOnError:false,macros:{"\\pf":"\\frac{\\partial #1}{\\partial #2}"}});$ where $var element = document.getElementById("moose-equation-8012d03d-7926-4873-b81f-ab34138d5934");katex.render("q", element, {displayMode:false,throwOnError:false,macros:{"\\pf":"\\frac{\\partial #1}{\\partial #2}"}});$ 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. $var element = document.getElementById("moose-equation-6a0b22ec-d799-4e2d-acf7-cc3849343c90");katex.render("[\\bar{1}11]", element, {displayMode:false,throwOnError:false,macros:{"\\pf":"\\frac{\\partial #1}{\\partial #2}"}});$ ) 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).

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
[../]

Input Parameters

number_slip_systemsThe total number of possible active slip systems for the crystalline material
C++ Type:unsigned int
Options:
Description:The total number of possible active slip systems for the crystalline material
slip_sys_file_nameName of the file containing the slip systems
C++ Type:FileName
Options:
Description:Name of the file containing the slip systems

Required Parameters

ao0.001slip rate coefficient
Default:0.001
C++ Type:double
Options:
Description:slip rate coefficient
base_nameOptional parameter that allows the user to define multiple crystal plasticity mechanisms
C++ Type:std::string
Options:
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>
Options:
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>
Options:
Description:The list of boundaries (ids or names) from the mesh where this boundary condition 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
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
Options:
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
Options:
Description:coefficient for hardening
gss_initial60.8initial lattice friction strength of the material
Default:60.8
C++ Type:double
Options:
Description:initial lattice friction strength of the material
h541.5hardening constants
Default:541.5
C++ Type:double
Options:
Description:hardening constants
number_cross_slip_directions0Quanity of unique slip directions, used to determine cross slip familes
Default:0
C++ Type:double
Options:
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
Options:
Description:Quanity of slip planes belonging to a single cross slip direction; used to determine cross slip families
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
Options:
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
Options:
Description:Latent hardening coefficient
resistance_tol0.01Constitutive slip system resistance relative residual tolerance for each individual constitutive model
Default:0.01
C++ Type:double
Options:
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
Options:
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
Options:
Description:Constitutive internal state variable relative change tolerance
t_sat109.8saturated slip system strength
Default:109.8
C++ Type:double
Options:
Description:saturated slip system strength
xm0.1exponent for slip rate
Default:0.1
C++ Type:double
Options:
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
Options:
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>
Options:
Description:Adds user-defined labels for accessing object parameters via control logic.
enableTrueSet the enabled status of the MooseObject.
Default:True
C++ Type:bool
Options:
Description:Set the enabled status of the MooseObject.
implicitTrueDetermines whether this object is calculated using an implicit or explicit form
Default:True
C++ Type:bool
Options:
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
Options:
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
Options:
Description:Whether or not this object should use the displaced mesh for computation. Note that in the case this is true but no displacements are provided in the Mesh block the undisplaced mesh will still be used.

Advanced Parameters

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>
Options:
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>
Options:
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/stress_update_material_based/patch_recovery.i)
(modules/tensor_mechanics/test/tests/crystal_plasticity/stress_update_material_based/orthotropic_rotation_Cijkl.i)
(modules/tensor_mechanics/test/tests/crystal_plasticity/stress_update_material_based/update_method_test.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/multiple_eigenstrains_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/linesearch.i)
(modules/tensor_mechanics/test/tests/crystal_plasticity/stress_update_material_based/update_method_011orientation.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/substep.i)

References

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"
}

(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/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/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 = RankTwoAux
    patch_polynomial_order = first
    rank_two_tensor = stress
    variable = stress_xx_recovered
    index_i = 0
    index_j = 0
    execute_on = 'timestep_end'
  [../]
  [./stress_yy_recovered]
    type = RankTwoAux
    patch_polynomial_order = first
    rank_two_tensor = stress
    variable = stress_yy_recovered
    index_i = 1
    index_j = 1
    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
  [../]
[]

[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/stress_update_material_based/orthotropic_rotation_Cijkl.i)

# This test is designed to test the correct application of the Euler angle
# rotations to the elasticity tensor. The test uses values for the nine C_ijkl
# entries that correspond to the engineering notation placement:
#  e.g. C11 = 11e3, c12 = 12e3, c13 = 13e3, c22 = 22e3 ..... c66 = 66e3
#
# A rotation of (0, 90, 0) is applied to the 1x1x1 cube, such that the values of
# c12 and c13 switch, c22 and c33 switch, and c55 and c66 switch. Postprocessors
# are used to verify this switch (made simple with the value convention above)
# and to verify that the unrotated components along the x-axis remain constant.

[Mesh]
  type = GeneratedMesh
  dim = 3
[]

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

[AuxVariables]
  [./lage_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./lage_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./pk2_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./lage_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./fp_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./c11]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./c12]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./c13]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./c22]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./c23]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./c33]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./c44]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./c55]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./c66]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

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

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

[AuxKernels]
  [./lage_xx]
    type = RankTwoAux
    rank_two_tensor = total_lagrangian_strain
    variable = lage_xx
    index_i = 0
    index_j = 0
    execute_on = timestep_end
  [../]
  [./lage_yy]
    type = RankTwoAux
    rank_two_tensor = total_lagrangian_strain
    variable = lage_yy
    index_i = 1
    index_j = 1
    execute_on = timestep_end
  [../]
  [./pk2_yy]
    type = RankTwoAux
    variable = pk2_yy
    rank_two_tensor = second_piola_kirchhoff_stress
    index_j = 1
    index_i = 1
    execute_on = timestep_end
  [../]
  [./lage_zz]
    type = RankTwoAux
    rank_two_tensor = total_lagrangian_strain
    variable = lage_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  [../]
  [./fp_yy]
    type = RankTwoAux
    variable = fp_yy
    rank_two_tensor = plastic_deformation_gradient
    index_i = 1
    index_j = 1
    execute_on = timestep_end
  [../]
  [./c11]
    type = RankFourAux
    variable = c11
    rank_four_tensor = elasticity_tensor
    index_i = 0
    index_j = 0
    index_k = 0
    index_l = 0
    execute_on = timestep_end
  [../]
  [./c12]
    type = RankFourAux
    variable = c12
    rank_four_tensor = elasticity_tensor
    index_i = 0
    index_j = 0
    index_k = 1
    index_l = 1
    execute_on = timestep_end
  [../]
  [./c13]
    type = RankFourAux
    variable = c13
    rank_four_tensor = elasticity_tensor
    index_i = 0
    index_j = 0
    index_k = 2
    index_l = 2
    execute_on = timestep_end
  [../]
  [./c22]
    type = RankFourAux
    variable = c22
    rank_four_tensor = elasticity_tensor
    index_i = 1
    index_j = 1
    index_k = 1
    index_l = 1
    execute_on = timestep_end
  [../]
  [./c23]
    type = RankFourAux
    variable = c23
    rank_four_tensor = elasticity_tensor
    index_i = 1
    index_j = 1
    index_k = 2
    index_l = 2
    execute_on = timestep_end
  [../]
  [./c33]
    type = RankFourAux
    variable = c33
    rank_four_tensor = elasticity_tensor
    index_i = 2
    index_j = 2
    index_k = 2
    index_l = 2
    execute_on = timestep_end
  [../]
  [./c44]
    type = RankFourAux
    variable = c44
    rank_four_tensor = elasticity_tensor
    index_i = 1
    index_j = 2
    index_k = 1
    index_l = 2
    execute_on = timestep_end
  [../]
  [./c55]
    type = RankFourAux
    variable = c55
    rank_four_tensor = elasticity_tensor
    index_i = 2
    index_j = 0
    index_k = 2
    index_l = 0
    execute_on = timestep_end
  [../]
  [./c66]
    type = RankFourAux
    variable = c66
    rank_four_tensor = elasticity_tensor
    index_i = 0
    index_j = 1
    index_k = 0
    index_l = 1
    execute_on = timestep_end
  [../]
[]

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

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensorCP
    C_ijkl = '11e3 12e3 13e3 22e3 23e3 33e3 44e3 55e3 66e3'
    fill_method = symmetric9
    euler_angle_1 = 0.0
    euler_angle_2 = 45.0
    euler_angle_3 = 45.0
  [../]
  [./stress]
    type = ComputeMultipleCrystalPlasticityStress
    crystal_plasticity_models = 'trial_xtalpl'
    tan_mod_type = exact
  [../]
  [./trial_xtalpl]
    type = CrystalPlasticityKalidindiUpdate
    number_slip_systems = 12
    slip_sys_file_name = input_slip_sys.txt
  [../]
[]

[Postprocessors]
  [./lage_xx]
    type = ElementAverageValue
    variable = lage_xx
  [../]
  [./pk2_yy]
    type = ElementAverageValue
    variable = pk2_yy
  [../]
  [./lage_yy]
    type = ElementAverageValue
    variable = lage_yy
  [../]
  [./lage_zz]
    type = ElementAverageValue
    variable = lage_zz
  [../]
  [./fp_yy]
    type = ElementAverageValue
    variable = fp_yy
  [../]
  [./c11]
    type = ElementAverageValue
    variable = c11
  [../]
  [./c12]
    type = ElementAverageValue
    variable = c12
  [../]
  [./c13]
    type = ElementAverageValue
    variable = c13
  [../]
  [./c22]
    type = ElementAverageValue
    variable = c22
  [../]
  [./c23]
    type = ElementAverageValue
    variable = c23
  [../]
  [./c33]
    type = ElementAverageValue
    variable = c33
  [../]
  [./c44]
    type = ElementAverageValue
    variable = c44
  [../]
  [./c55]
    type = ElementAverageValue
    variable = c55
  [../]
  [./c66]
    type = ElementAverageValue
    variable = c66
  [../]
[]

[Executioner]
  type = Transient
  solve_type = PJFNK

  l_tol = 1e-3
  petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -ksp_type -ksp_gmres_restart'
  petsc_options_value = ' asm      1              lu            gmres     200'
  nl_abs_tol = 1e-10
  nl_rel_tol = 1e-10

  dtmax = 0.1
  dtmin = 1.0e-3
  dt = 0.05
  end_time = 0.5
[]

[Outputs]
  exodus = false
  csv = true
[]

(modules/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/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/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/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/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/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/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/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
[]

Constitutive Model Definition
Example Input File Syntax
Input Parameters
Input Files
References

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CrystalPlasticityKalidindiUpdate

Constitutive Model Definition

Example Input File Syntax

Input Parameters

Required Parameters

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Input Files

References