Compute Variable Base EigenStrain

Computes Eigenstrain based on material property tensor base

Description

The material ComputeVariableBaseEigenStrain calculates a Rank-2 tensor eigenstrain as a function of a Rank-2 tensor base and a scalar material property. $(1)var element = document.getElementById("moose-equation-2019a567-62b2-4dc9-a13b-76c944df45ae");katex.render(" \\boldsymbol{\\epsilon}_{eigen} = p \\boldsymbol{T} + \\boldsymbol{A}", element, {displayMode:true,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ where $var element = document.getElementById("moose-equation-5dafec7d-8abd-4ec2-a08e-75440d3cc8c4");katex.render("\\boldsymbol{\\epsilon}_{eigen}", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ is the calculated eigenstrain, $var element = document.getElementById("moose-equation-e7599380-8882-48aa-8a15-a408a3b1af4f");katex.render("p", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ is a scalar material property, $var element = document.getElementById("moose-equation-606a0a3d-2b4f-459c-8c98-7f10b8e7eac2");katex.render("\\boldsymbol{T}", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ is the tensor selected by the user as the base of the eigenstrain, and $var element = document.getElementById("moose-equation-361d3f90-28bf-4633-bd2b-d31830244737");katex.render("\\boldsymbol{A}", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ is the offset, or constant initial, eigenstrain tensor. The material property $var element = document.getElementById("moose-equation-4d567463-275f-464f-9154-6e6951069a4d");katex.render("p", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ is used to introduce dependence of the eigenstrain on the user-specified variable.

Example Input File

[./eigenstrain]
  type = ComputeVariableBaseEigenStrain
  base_tensor_property_name = aniso_tensor
  prefactor = eigenstrain_prefactor
  eigenstrain_name = eigenstrain
[../]

where the argument for the base_tensor_property_name parameter in the eigenstrain is the same as the property parameter gb_tensor_prop_name argument as shown

[./aniso_tensor]
  type = GBDependentAnisotropicTensor
  gb = gb
  bulk_parameter = 0.1
  gb_parameter = 1
  gb_normal_tensor_name = gb_normal
  gb_tensor_prop_name = aniso_tensor
[../]

and the argument for the prefactor parameter in the eigenstrain material matches the function name (f_name parameter) in the DerivativeParsedMaterial

[./eigenstrain_prefactor]
  type = DerivativeParsedMaterial
  block = 0
  expression = 'c-0.1'
  coupled_variables = c
  property_name = eigenstrain_prefactor
  derivative_order = 1
[../]

Finally, the eigenstrain_name parameter value must also be set for the strain calculator, and an example parameter setting is shown below:

[./strain]
  type = ComputeIncrementalSmallStrain
  displacements = 'disp_x disp_y'
  eigenstrain_names = eigenstrain
[../]

Input Parameters

base_tensor_property_nameName of base tensor property
C++ Type:MaterialPropertyName
Controllable:No
Description:Name of base tensor property
eigenstrain_nameMaterial property name for the eigenstrain tensor computed by this model. IMPORTANT: The name of this property must also be provided to the strain calculator.
C++ Type:std::string
Controllable:No
Description:Material property name for the eigenstrain tensor computed by this model. IMPORTANT: The name of this property must also be provided to the strain calculator.

Required Parameters

base_nameOptional parameter that allows the user to define multiple mechanics material systems on the same block, i.e. for multiple phases
C++ Type:std::string
Controllable:No
Description:Optional parameter that allows the user to define multiple mechanics material systems on the same block, i.e. for multiple phases
blockThe list of blocks (ids or names) that this object will be applied
C++ Type:std::vector<SubdomainName>
Controllable:No
Description:The list of blocks (ids or names) that this object will be applied
boundaryThe list of boundaries (ids or names) from the mesh where this object applies
C++ Type:std::vector<BoundaryName>
Controllable:No
Description:The list of boundaries (ids or names) from the mesh where this object applies
computeTrueWhen false, MOOSE will not call compute methods on this material. The user must call computeProperties() after retrieving the MaterialBase via MaterialBasePropertyInterface::getMaterialBase(). Non-computed MaterialBases are not sorted for dependencies.
Default:True
C++ Type:bool
Controllable:No
Description:When false, MOOSE will not call compute methods on this material. The user must call computeProperties() after retrieving the MaterialBase via MaterialBasePropertyInterface::getMaterialBase(). Non-computed MaterialBases are not sorted for dependencies.
constant_onNONEWhen ELEMENT, MOOSE will only call computeQpProperties() for the 0th quadrature point, and then copy that value to the other qps.When SUBDOMAIN, MOOSE will only call computeQpProperties() for the 0th quadrature point, and then copy that value to the other qps. Evaluations on element qps will be skipped
Default:NONE
C++ Type:MooseEnum
Options:NONE, ELEMENT, SUBDOMAIN
Controllable:No
Description:When ELEMENT, MOOSE will only call computeQpProperties() for the 0th quadrature point, and then copy that value to the other qps.When SUBDOMAIN, MOOSE will only call computeQpProperties() for the 0th quadrature point, and then copy that value to the other qps. Evaluations on element qps will be skipped
declare_suffixAn optional suffix parameter that can be appended to any declared properties. The suffix will be prepended with a '_' character.
C++ Type:MaterialPropertyName
Controllable:No
Description:An optional suffix parameter that can be appended to any declared properties. The suffix will be prepended with a '_' character.
offset_tensorVector of values defining the constant base tensor for the Eigenstrain
C++ Type:std::vector<double>
Controllable:No
Description:Vector of values defining the constant base tensor for the Eigenstrain
prefactor1Name of material defining the variable dependence
Default:1
C++ Type:MaterialPropertyName
Controllable:No
Description:Name of material defining the variable dependence
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.
use_interpolated_stateFalseFor the old and older state use projected material properties interpolated at the quadrature points. To set up projection use the ProjectedStatefulMaterialStorageAction.
Default:False
C++ Type:bool
Controllable:No
Description:For the old and older state use projected material properties interpolated at the quadrature points. To set up projection use the ProjectedStatefulMaterialStorageAction.

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

Input Files

(modules/combined/test/tests/DiffuseCreep/variable_base_eigen_strain.i)

References

No citations exist within this document.

(modules/combined/test/tests/DiffuseCreep/variable_base_eigen_strain.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 50
  ny = 2
  xmin = 0
  xmax = 10
  ymin = 0
  ymax = 2
[]

[Variables]
  [./c]
    [./InitialCondition]
      type = FunctionIC
      function = 'x0:=5.0;thk:=0.5;m:=2;r:=abs(x-x0);v:=exp(-(r/thk)^m);0.1+0.01*v'
    [../]
  [../]
  [./mu]
  [../]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
[]

[AuxVariables]
  [./gb]
    family = LAGRANGE
    order  = FIRST
  [../]
  [./eigen_strain_xx]
    family = MONOMIAL
    order  = CONSTANT
  [../]
  [./eigen_strain_yy]
    family = MONOMIAL
    order  = CONSTANT
  [../]
  [./stress_xx]
    family = MONOMIAL
    order  = CONSTANT
  [../]
  [./stress_yy]
    family = MONOMIAL
    order  = CONSTANT
  [../]
[]

[Kernels]
  [./conc]
    type = CHSplitConcentration
    variable = c
    mobility = mobility_prop
    chemical_potential_var = mu
  [../]
  [./chempot]
    type = CHSplitChemicalPotential
    variable = mu
    chemical_potential_prop = mu_prop
    c = c
  [../]
  [./time]
    type = TimeDerivative
    variable = c
  [../]
  [./TensorMechanics]
    displacements = 'disp_x disp_y'
  [../]
[]

[AuxKernels]
  [./gb]
    type = FunctionAux
    variable = gb
    function = 'x0:=5.0;thk:=0.5;m:=2;r:=abs(x-x0);v:=exp(-(r/thk)^m);v'
  [../]
  [./eigenstrain_xx]
    type = RankTwoAux
    variable = eigen_strain_xx
    rank_two_tensor = eigenstrain
    index_i = 0
    index_j = 0
  [../]
  [./eigenstrain_yy]
    type = RankTwoAux
    variable = eigen_strain_yy
    rank_two_tensor = eigenstrain
    index_i = 1
    index_j = 1
  [../]
  [./stress_xx]
    type = RankTwoAux
    variable = stress_xx
    rank_two_tensor = stress
    index_i = 0
    index_j = 0
  [../]
  [./stress_yy]
    type = RankTwoAux
    variable = stress_yy
    rank_two_tensor = stress
    index_i = 1
    index_j = 1
  [../]
[]

[Materials]
  [./chemical_potential]
    type = DerivativeParsedMaterial
    block = 0
    property_name = mu_prop
    coupled_variables = c
    expression = 'c'
    derivative_order = 1
  [../]
  [./var_dependence]
    type = DerivativeParsedMaterial
    block = 0
    expression = 'c*(1.0-c)'
    coupled_variables = c
    property_name = var_dep
    derivative_order = 1
  [../]
  [./mobility]
    type = CompositeMobilityTensor
    block = 0
    M_name = mobility_prop
    tensors = diffusivity
    weights = var_dep
    args = c
  [../]
  [./phase_normal]
    type = PhaseNormalTensor
    phase = gb
    normal_tensor_name = gb_normal
  [../]
  [./aniso_tensor]
    type = GBDependentAnisotropicTensor
    gb = gb
    bulk_parameter = 0.1
    gb_parameter = 1
    gb_normal_tensor_name = gb_normal
    gb_tensor_prop_name = aniso_tensor
  [../]
  [./diffusivity]
    type = GBDependentDiffusivity
    gb = gb
    bulk_parameter = 0.1
    gb_parameter = 1
    gb_normal_tensor_name = gb_normal
    gb_tensor_prop_name = diffusivity
  [../]
  [./eigenstrain_prefactor]
    type = DerivativeParsedMaterial
    block = 0
    expression = 'c-0.1'
    coupled_variables = c
    property_name = eigenstrain_prefactor
    derivative_order = 1
  [../]
  [./eigenstrain]
    type = ComputeVariableBaseEigenStrain
    base_tensor_property_name = aniso_tensor
    prefactor = eigenstrain_prefactor
    eigenstrain_name = eigenstrain
  [../]
  [./strain]
    type = ComputeIncrementalSmallStrain
    displacements = 'disp_x disp_y'
    eigenstrain_names = eigenstrain
  [../]
  [./stress]
    type = ComputeStrainIncrementBasedStress
  [../]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    C_ijkl = '120.0 80.0'
    fill_method = symmetric_isotropic
  [../]
[]

[BCs]
  [./Periodic]
    [./cbc]
      auto_direction = 'x y'
      variable = c
    [../]
  [../]
  [./fix_x]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0
  [../]
  [./fix_y]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0
  [../]
[]

[Executioner]
  type = Transient
  solve_type = PJFNK

  petsc_options_iname = '-pc_type -ksp_grmres_restart -sub_ksp_type -sub_pc_type -pc_asm_overlap'
  petsc_options_value = 'asm      31                  preonly       lu           1'

  nl_rel_tol = 1e-10
  nl_max_its = 5

  l_tol = 1e-4
  l_max_its = 20

  dt = 1
  num_steps = 5
[]

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

[Outputs]
  exodus = true
[]

(modules/combined/test/tests/DiffuseCreep/variable_base_eigen_strain.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 50
  ny = 2
  xmin = 0
  xmax = 10
  ymin = 0
  ymax = 2
[]

[Variables]
  [./c]
    [./InitialCondition]
      type = FunctionIC
      function = 'x0:=5.0;thk:=0.5;m:=2;r:=abs(x-x0);v:=exp(-(r/thk)^m);0.1+0.01*v'
    [../]
  [../]
  [./mu]
  [../]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
[]

[AuxVariables]
  [./gb]
    family = LAGRANGE
    order  = FIRST
  [../]
  [./eigen_strain_xx]
    family = MONOMIAL
    order  = CONSTANT
  [../]
  [./eigen_strain_yy]
    family = MONOMIAL
    order  = CONSTANT
  [../]
  [./stress_xx]
    family = MONOMIAL
    order  = CONSTANT
  [../]
  [./stress_yy]
    family = MONOMIAL
    order  = CONSTANT
  [../]
[]

[Kernels]
  [./conc]
    type = CHSplitConcentration
    variable = c
    mobility = mobility_prop
    chemical_potential_var = mu
  [../]
  [./chempot]
    type = CHSplitChemicalPotential
    variable = mu
    chemical_potential_prop = mu_prop
    c = c
  [../]
  [./time]
    type = TimeDerivative
    variable = c
  [../]
  [./TensorMechanics]
    displacements = 'disp_x disp_y'
  [../]
[]

[AuxKernels]
  [./gb]
    type = FunctionAux
    variable = gb
    function = 'x0:=5.0;thk:=0.5;m:=2;r:=abs(x-x0);v:=exp(-(r/thk)^m);v'
  [../]
  [./eigenstrain_xx]
    type = RankTwoAux
    variable = eigen_strain_xx
    rank_two_tensor = eigenstrain
    index_i = 0
    index_j = 0
  [../]
  [./eigenstrain_yy]
    type = RankTwoAux
    variable = eigen_strain_yy
    rank_two_tensor = eigenstrain
    index_i = 1
    index_j = 1
  [../]
  [./stress_xx]
    type = RankTwoAux
    variable = stress_xx
    rank_two_tensor = stress
    index_i = 0
    index_j = 0
  [../]
  [./stress_yy]
    type = RankTwoAux
    variable = stress_yy
    rank_two_tensor = stress
    index_i = 1
    index_j = 1
  [../]
[]

[Materials]
  [./chemical_potential]
    type = DerivativeParsedMaterial
    block = 0
    property_name = mu_prop
    coupled_variables = c
    expression = 'c'
    derivative_order = 1
  [../]
  [./var_dependence]
    type = DerivativeParsedMaterial
    block = 0
    expression = 'c*(1.0-c)'
    coupled_variables = c
    property_name = var_dep
    derivative_order = 1
  [../]
  [./mobility]
    type = CompositeMobilityTensor
    block = 0
    M_name = mobility_prop
    tensors = diffusivity
    weights = var_dep
    args = c
  [../]
  [./phase_normal]
    type = PhaseNormalTensor
    phase = gb
    normal_tensor_name = gb_normal
  [../]
  [./aniso_tensor]
    type = GBDependentAnisotropicTensor
    gb = gb
    bulk_parameter = 0.1
    gb_parameter = 1
    gb_normal_tensor_name = gb_normal
    gb_tensor_prop_name = aniso_tensor
  [../]
  [./diffusivity]
    type = GBDependentDiffusivity
    gb = gb
    bulk_parameter = 0.1
    gb_parameter = 1
    gb_normal_tensor_name = gb_normal
    gb_tensor_prop_name = diffusivity
  [../]
  [./eigenstrain_prefactor]
    type = DerivativeParsedMaterial
    block = 0
    expression = 'c-0.1'
    coupled_variables = c
    property_name = eigenstrain_prefactor
    derivative_order = 1
  [../]
  [./eigenstrain]
    type = ComputeVariableBaseEigenStrain
    base_tensor_property_name = aniso_tensor
    prefactor = eigenstrain_prefactor
    eigenstrain_name = eigenstrain
  [../]
  [./strain]
    type = ComputeIncrementalSmallStrain
    displacements = 'disp_x disp_y'
    eigenstrain_names = eigenstrain
  [../]
  [./stress]
    type = ComputeStrainIncrementBasedStress
  [../]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    C_ijkl = '120.0 80.0'
    fill_method = symmetric_isotropic
  [../]
[]

[BCs]
  [./Periodic]
    [./cbc]
      auto_direction = 'x y'
      variable = c
    [../]
  [../]
  [./fix_x]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0
  [../]
  [./fix_y]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0
  [../]
[]

[Executioner]
  type = Transient
  solve_type = PJFNK

  petsc_options_iname = '-pc_type -ksp_grmres_restart -sub_ksp_type -sub_pc_type -pc_asm_overlap'
  petsc_options_value = 'asm      31                  preonly       lu           1'

  nl_rel_tol = 1e-10
  nl_max_its = 5

  l_tol = 1e-4
  l_max_its = 20

  dt = 1
  num_steps = 5
[]

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

[Outputs]
  exodus = true
[]

(modules/combined/test/tests/DiffuseCreep/variable_base_eigen_strain.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 50
  ny = 2
  xmin = 0
  xmax = 10
  ymin = 0
  ymax = 2
[]

[Variables]
  [./c]
    [./InitialCondition]
      type = FunctionIC
      function = 'x0:=5.0;thk:=0.5;m:=2;r:=abs(x-x0);v:=exp(-(r/thk)^m);0.1+0.01*v'
    [../]
  [../]
  [./mu]
  [../]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
[]

[AuxVariables]
  [./gb]
    family = LAGRANGE
    order  = FIRST
  [../]
  [./eigen_strain_xx]
    family = MONOMIAL
    order  = CONSTANT
  [../]
  [./eigen_strain_yy]
    family = MONOMIAL
    order  = CONSTANT
  [../]
  [./stress_xx]
    family = MONOMIAL
    order  = CONSTANT
  [../]
  [./stress_yy]
    family = MONOMIAL
    order  = CONSTANT
  [../]
[]

[Kernels]
  [./conc]
    type = CHSplitConcentration
    variable = c
    mobility = mobility_prop
    chemical_potential_var = mu
  [../]
  [./chempot]
    type = CHSplitChemicalPotential
    variable = mu
    chemical_potential_prop = mu_prop
    c = c
  [../]
  [./time]
    type = TimeDerivative
    variable = c
  [../]
  [./TensorMechanics]
    displacements = 'disp_x disp_y'
  [../]
[]

[AuxKernels]
  [./gb]
    type = FunctionAux
    variable = gb
    function = 'x0:=5.0;thk:=0.5;m:=2;r:=abs(x-x0);v:=exp(-(r/thk)^m);v'
  [../]
  [./eigenstrain_xx]
    type = RankTwoAux
    variable = eigen_strain_xx
    rank_two_tensor = eigenstrain
    index_i = 0
    index_j = 0
  [../]
  [./eigenstrain_yy]
    type = RankTwoAux
    variable = eigen_strain_yy
    rank_two_tensor = eigenstrain
    index_i = 1
    index_j = 1
  [../]
  [./stress_xx]
    type = RankTwoAux
    variable = stress_xx
    rank_two_tensor = stress
    index_i = 0
    index_j = 0
  [../]
  [./stress_yy]
    type = RankTwoAux
    variable = stress_yy
    rank_two_tensor = stress
    index_i = 1
    index_j = 1
  [../]
[]

[Materials]
  [./chemical_potential]
    type = DerivativeParsedMaterial
    block = 0
    property_name = mu_prop
    coupled_variables = c
    expression = 'c'
    derivative_order = 1
  [../]
  [./var_dependence]
    type = DerivativeParsedMaterial
    block = 0
    expression = 'c*(1.0-c)'
    coupled_variables = c
    property_name = var_dep
    derivative_order = 1
  [../]
  [./mobility]
    type = CompositeMobilityTensor
    block = 0
    M_name = mobility_prop
    tensors = diffusivity
    weights = var_dep
    args = c
  [../]
  [./phase_normal]
    type = PhaseNormalTensor
    phase = gb
    normal_tensor_name = gb_normal
  [../]
  [./aniso_tensor]
    type = GBDependentAnisotropicTensor
    gb = gb
    bulk_parameter = 0.1
    gb_parameter = 1
    gb_normal_tensor_name = gb_normal
    gb_tensor_prop_name = aniso_tensor
  [../]
  [./diffusivity]
    type = GBDependentDiffusivity
    gb = gb
    bulk_parameter = 0.1
    gb_parameter = 1
    gb_normal_tensor_name = gb_normal
    gb_tensor_prop_name = diffusivity
  [../]
  [./eigenstrain_prefactor]
    type = DerivativeParsedMaterial
    block = 0
    expression = 'c-0.1'
    coupled_variables = c
    property_name = eigenstrain_prefactor
    derivative_order = 1
  [../]
  [./eigenstrain]
    type = ComputeVariableBaseEigenStrain
    base_tensor_property_name = aniso_tensor
    prefactor = eigenstrain_prefactor
    eigenstrain_name = eigenstrain
  [../]
  [./strain]
    type = ComputeIncrementalSmallStrain
    displacements = 'disp_x disp_y'
    eigenstrain_names = eigenstrain
  [../]
  [./stress]
    type = ComputeStrainIncrementBasedStress
  [../]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    C_ijkl = '120.0 80.0'
    fill_method = symmetric_isotropic
  [../]
[]

[BCs]
  [./Periodic]
    [./cbc]
      auto_direction = 'x y'
      variable = c
    [../]
  [../]
  [./fix_x]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0
  [../]
  [./fix_y]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0
  [../]
[]

[Executioner]
  type = Transient
  solve_type = PJFNK

  petsc_options_iname = '-pc_type -ksp_grmres_restart -sub_ksp_type -sub_pc_type -pc_asm_overlap'
  petsc_options_value = 'asm      31                  preonly       lu           1'

  nl_rel_tol = 1e-10
  nl_max_its = 5

  l_tol = 1e-4
  l_max_its = 20

  dt = 1
  num_steps = 5
[]

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

[Outputs]
  exodus = true
[]

(modules/combined/test/tests/DiffuseCreep/variable_base_eigen_strain.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 50
  ny = 2
  xmin = 0
  xmax = 10
  ymin = 0
  ymax = 2
[]

[Variables]
  [./c]
    [./InitialCondition]
      type = FunctionIC
      function = 'x0:=5.0;thk:=0.5;m:=2;r:=abs(x-x0);v:=exp(-(r/thk)^m);0.1+0.01*v'
    [../]
  [../]
  [./mu]
  [../]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
[]

[AuxVariables]
  [./gb]
    family = LAGRANGE
    order  = FIRST
  [../]
  [./eigen_strain_xx]
    family = MONOMIAL
    order  = CONSTANT
  [../]
  [./eigen_strain_yy]
    family = MONOMIAL
    order  = CONSTANT
  [../]
  [./stress_xx]
    family = MONOMIAL
    order  = CONSTANT
  [../]
  [./stress_yy]
    family = MONOMIAL
    order  = CONSTANT
  [../]
[]

[Kernels]
  [./conc]
    type = CHSplitConcentration
    variable = c
    mobility = mobility_prop
    chemical_potential_var = mu
  [../]
  [./chempot]
    type = CHSplitChemicalPotential
    variable = mu
    chemical_potential_prop = mu_prop
    c = c
  [../]
  [./time]
    type = TimeDerivative
    variable = c
  [../]
  [./TensorMechanics]
    displacements = 'disp_x disp_y'
  [../]
[]

[AuxKernels]
  [./gb]
    type = FunctionAux
    variable = gb
    function = 'x0:=5.0;thk:=0.5;m:=2;r:=abs(x-x0);v:=exp(-(r/thk)^m);v'
  [../]
  [./eigenstrain_xx]
    type = RankTwoAux
    variable = eigen_strain_xx
    rank_two_tensor = eigenstrain
    index_i = 0
    index_j = 0
  [../]
  [./eigenstrain_yy]
    type = RankTwoAux
    variable = eigen_strain_yy
    rank_two_tensor = eigenstrain
    index_i = 1
    index_j = 1
  [../]
  [./stress_xx]
    type = RankTwoAux
    variable = stress_xx
    rank_two_tensor = stress
    index_i = 0
    index_j = 0
  [../]
  [./stress_yy]
    type = RankTwoAux
    variable = stress_yy
    rank_two_tensor = stress
    index_i = 1
    index_j = 1
  [../]
[]

[Materials]
  [./chemical_potential]
    type = DerivativeParsedMaterial
    block = 0
    property_name = mu_prop
    coupled_variables = c
    expression = 'c'
    derivative_order = 1
  [../]
  [./var_dependence]
    type = DerivativeParsedMaterial
    block = 0
    expression = 'c*(1.0-c)'
    coupled_variables = c
    property_name = var_dep
    derivative_order = 1
  [../]
  [./mobility]
    type = CompositeMobilityTensor
    block = 0
    M_name = mobility_prop
    tensors = diffusivity
    weights = var_dep
    args = c
  [../]
  [./phase_normal]
    type = PhaseNormalTensor
    phase = gb
    normal_tensor_name = gb_normal
  [../]
  [./aniso_tensor]
    type = GBDependentAnisotropicTensor
    gb = gb
    bulk_parameter = 0.1
    gb_parameter = 1
    gb_normal_tensor_name = gb_normal
    gb_tensor_prop_name = aniso_tensor
  [../]
  [./diffusivity]
    type = GBDependentDiffusivity
    gb = gb
    bulk_parameter = 0.1
    gb_parameter = 1
    gb_normal_tensor_name = gb_normal
    gb_tensor_prop_name = diffusivity
  [../]
  [./eigenstrain_prefactor]
    type = DerivativeParsedMaterial
    block = 0
    expression = 'c-0.1'
    coupled_variables = c
    property_name = eigenstrain_prefactor
    derivative_order = 1
  [../]
  [./eigenstrain]
    type = ComputeVariableBaseEigenStrain
    base_tensor_property_name = aniso_tensor
    prefactor = eigenstrain_prefactor
    eigenstrain_name = eigenstrain
  [../]
  [./strain]
    type = ComputeIncrementalSmallStrain
    displacements = 'disp_x disp_y'
    eigenstrain_names = eigenstrain
  [../]
  [./stress]
    type = ComputeStrainIncrementBasedStress
  [../]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    C_ijkl = '120.0 80.0'
    fill_method = symmetric_isotropic
  [../]
[]

[BCs]
  [./Periodic]
    [./cbc]
      auto_direction = 'x y'
      variable = c
    [../]
  [../]
  [./fix_x]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0
  [../]
  [./fix_y]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0
  [../]
[]

[Executioner]
  type = Transient
  solve_type = PJFNK

  petsc_options_iname = '-pc_type -ksp_grmres_restart -sub_ksp_type -sub_pc_type -pc_asm_overlap'
  petsc_options_value = 'asm      31                  preonly       lu           1'

  nl_rel_tol = 1e-10
  nl_max_its = 5

  l_tol = 1e-4
  l_max_its = 20

  dt = 1
  num_steps = 5
[]

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

[Outputs]
  exodus = true
[]

(modules/combined/test/tests/DiffuseCreep/variable_base_eigen_strain.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 50
  ny = 2
  xmin = 0
  xmax = 10
  ymin = 0
  ymax = 2
[]

[Variables]
  [./c]
    [./InitialCondition]
      type = FunctionIC
      function = 'x0:=5.0;thk:=0.5;m:=2;r:=abs(x-x0);v:=exp(-(r/thk)^m);0.1+0.01*v'
    [../]
  [../]
  [./mu]
  [../]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
[]

[AuxVariables]
  [./gb]
    family = LAGRANGE
    order  = FIRST
  [../]
  [./eigen_strain_xx]
    family = MONOMIAL
    order  = CONSTANT
  [../]
  [./eigen_strain_yy]
    family = MONOMIAL
    order  = CONSTANT
  [../]
  [./stress_xx]
    family = MONOMIAL
    order  = CONSTANT
  [../]
  [./stress_yy]
    family = MONOMIAL
    order  = CONSTANT
  [../]
[]

[Kernels]
  [./conc]
    type = CHSplitConcentration
    variable = c
    mobility = mobility_prop
    chemical_potential_var = mu
  [../]
  [./chempot]
    type = CHSplitChemicalPotential
    variable = mu
    chemical_potential_prop = mu_prop
    c = c
  [../]
  [./time]
    type = TimeDerivative
    variable = c
  [../]
  [./TensorMechanics]
    displacements = 'disp_x disp_y'
  [../]
[]

[AuxKernels]
  [./gb]
    type = FunctionAux
    variable = gb
    function = 'x0:=5.0;thk:=0.5;m:=2;r:=abs(x-x0);v:=exp(-(r/thk)^m);v'
  [../]
  [./eigenstrain_xx]
    type = RankTwoAux
    variable = eigen_strain_xx
    rank_two_tensor = eigenstrain
    index_i = 0
    index_j = 0
  [../]
  [./eigenstrain_yy]
    type = RankTwoAux
    variable = eigen_strain_yy
    rank_two_tensor = eigenstrain
    index_i = 1
    index_j = 1
  [../]
  [./stress_xx]
    type = RankTwoAux
    variable = stress_xx
    rank_two_tensor = stress
    index_i = 0
    index_j = 0
  [../]
  [./stress_yy]
    type = RankTwoAux
    variable = stress_yy
    rank_two_tensor = stress
    index_i = 1
    index_j = 1
  [../]
[]

[Materials]
  [./chemical_potential]
    type = DerivativeParsedMaterial
    block = 0
    property_name = mu_prop
    coupled_variables = c
    expression = 'c'
    derivative_order = 1
  [../]
  [./var_dependence]
    type = DerivativeParsedMaterial
    block = 0
    expression = 'c*(1.0-c)'
    coupled_variables = c
    property_name = var_dep
    derivative_order = 1
  [../]
  [./mobility]
    type = CompositeMobilityTensor
    block = 0
    M_name = mobility_prop
    tensors = diffusivity
    weights = var_dep
    args = c
  [../]
  [./phase_normal]
    type = PhaseNormalTensor
    phase = gb
    normal_tensor_name = gb_normal
  [../]
  [./aniso_tensor]
    type = GBDependentAnisotropicTensor
    gb = gb
    bulk_parameter = 0.1
    gb_parameter = 1
    gb_normal_tensor_name = gb_normal
    gb_tensor_prop_name = aniso_tensor
  [../]
  [./diffusivity]
    type = GBDependentDiffusivity
    gb = gb
    bulk_parameter = 0.1
    gb_parameter = 1
    gb_normal_tensor_name = gb_normal
    gb_tensor_prop_name = diffusivity
  [../]
  [./eigenstrain_prefactor]
    type = DerivativeParsedMaterial
    block = 0
    expression = 'c-0.1'
    coupled_variables = c
    property_name = eigenstrain_prefactor
    derivative_order = 1
  [../]
  [./eigenstrain]
    type = ComputeVariableBaseEigenStrain
    base_tensor_property_name = aniso_tensor
    prefactor = eigenstrain_prefactor
    eigenstrain_name = eigenstrain
  [../]
  [./strain]
    type = ComputeIncrementalSmallStrain
    displacements = 'disp_x disp_y'
    eigenstrain_names = eigenstrain
  [../]
  [./stress]
    type = ComputeStrainIncrementBasedStress
  [../]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    C_ijkl = '120.0 80.0'
    fill_method = symmetric_isotropic
  [../]
[]

[BCs]
  [./Periodic]
    [./cbc]
      auto_direction = 'x y'
      variable = c
    [../]
  [../]
  [./fix_x]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0
  [../]
  [./fix_y]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0
  [../]
[]

[Executioner]
  type = Transient
  solve_type = PJFNK

  petsc_options_iname = '-pc_type -ksp_grmres_restart -sub_ksp_type -sub_pc_type -pc_asm_overlap'
  petsc_options_value = 'asm      31                  preonly       lu           1'

  nl_rel_tol = 1e-10
  nl_max_its = 5

  l_tol = 1e-4
  l_max_its = 20

  dt = 1
  num_steps = 5
[]

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

[Outputs]
  exodus = true
[]

Description
Example Input File
Input Parameters
Input Files
References