- coupled_variables
C++ Type:std::vector<VariableName>
Controllable:No
- 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.
- tensorsComponent tensors
C++ Type:std::vector<MaterialPropertyName>
Controllable:No
Description:Component tensors
- weightsComponent weights
C++ Type:std::vector<MaterialPropertyName>
Controllable:No
Description:Component weights
Composite Eigenstrain
Assemble an Eigenstrain tensor from multiple tensor contributions weighted by material properties
Description
The material CompositeEigenstrain
calculates a Rank-2 tensor that can be used as an Eigenstrain tensor in a mechanics simulation. This tensor is computed as a weighted sum of base Eigenstrain tensors, as shown in Eq. (1), where each weight can be a scalar material property that may depend on simulation variables. (1) where is a Rank-2 tensor and is the weighting factor for each Rank-2 tensor.
object for RankTwoTensor eigenstrains with the QuasiStaticSolidMechanicsPhysics setting automatic_eigenstrain_names = true
, eigenstrains listed as MaterialADConverter
input tensors will not be included in the eigenstrain_names
list passed. Set the automatic/_eigenstrain/_names = false and populate this list manually if these components need to be included.
Example Input File Syntax
[./eigenstrain]
type = CompositeEigenstrain
tensors = 'eigen1 eigen2'
weights = 'weight1 weight2'
args = c
eigenstrain_name = eigenstrain
[../]
(modules/combined/test/tests/eigenstrain/composite.i)The eigenstrain_name
parameter value must also be set for the strain calculator, and an example parameter setting is shown below:
[./strain]
type = ComputeSmallStrain
displacements = 'disp_x disp_y'
eigenstrain_names = 'eigenstrain'
[../]
(modules/combined/test/tests/eigenstrain/composite.i)Input 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.
- 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/examples/mortar/eigenstrain_action.i)
- (modules/combined/test/tests/eigenstrain/composite.i)
- (modules/combined/examples/mortar/eigenstrain.i)
- (modules/combined/examples/publications/rapid_dev/fig8.i)
- (modules/solid_mechanics/test/tests/action/composite_eigenstrain.i)
- (modules/combined/examples/periodic_strain/global_strain_pfm_3D.i)
- (modules/combined/examples/periodic_strain/global_strain_pfm.i)
(modules/combined/test/tests/eigenstrain/composite.i)
[Mesh]
type = GeneratedMesh
dim = 2
nx = 5
ny = 5
[]
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Variables]
[./disp_x]
order = FIRST
family = LAGRANGE
[../]
[./disp_y]
order = FIRST
family = LAGRANGE
[../]
[]
[Kernels]
[./TensorMechanics]
[../]
[]
[AuxVariables]
[./c]
[./InitialCondition]
type = FunctionIC
function = x
[../]
[../]
[./s11]
family = MONOMIAL
order = CONSTANT
[../]
[./s22]
family = MONOMIAL
order = CONSTANT
[../]
[./ds11]
family = MONOMIAL
order = CONSTANT
[../]
[./ds22]
family = MONOMIAL
order = CONSTANT
[../]
[]
[AuxKernels]
[./s11]
type = RankTwoAux
variable = s11
rank_two_tensor = eigenstrain
index_i = 0
index_j = 0
[../]
[./s22]
type = RankTwoAux
variable = s22
rank_two_tensor = eigenstrain
index_i = 1
index_j = 1
[../]
[./ds11]
type = RankTwoAux
variable = ds11
rank_two_tensor = delastic_strain/dc
index_i = 0
index_j = 0
[../]
[./ds22]
type = RankTwoAux
variable = ds22
rank_two_tensor = delastic_strain/dc
index_i = 1
index_j = 1
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '1 1'
fill_method = symmetric_isotropic
[../]
[./stress]
type = ComputeLinearElasticStress
[../]
[./strain]
type = ComputeSmallStrain
displacements = 'disp_x disp_y'
eigenstrain_names = 'eigenstrain'
[../]
[./eigen1]
type = GenericConstantRankTwoTensor
tensor_values = '1 -1 0 0 0 0'
tensor_name = eigen1
[../]
[./eigen2]
type = GenericConstantRankTwoTensor
tensor_values = '-1 1 0 0 0 0'
tensor_name = eigen2
[../]
[./weight1]
type = DerivativeParsedMaterial
expression = 0.02*c^2
property_name = weight1
coupled_variables = c
[../]
[./weight2]
type = DerivativeParsedMaterial
expression = 0.02*(1-c)^2
property_name = weight2
coupled_variables = c
[../]
[./eigenstrain]
type = CompositeEigenstrain
tensors = 'eigen1 eigen2'
weights = 'weight1 weight2'
args = c
eigenstrain_name = eigenstrain
[../]
[]
[BCs]
[./bottom_y]
type = DirichletBC
variable = disp_y
boundary = bottom
value = 0
[../]
[./left_x]
type = DirichletBC
variable = disp_x
boundary = left
value = 0
[../]
[]
[Executioner]
type = Transient
num_steps = 1
[]
[Outputs]
exodus = true
execute_on = final
[]
(modules/combined/test/tests/eigenstrain/composite.i)
[Mesh]
type = GeneratedMesh
dim = 2
nx = 5
ny = 5
[]
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Variables]
[./disp_x]
order = FIRST
family = LAGRANGE
[../]
[./disp_y]
order = FIRST
family = LAGRANGE
[../]
[]
[Kernels]
[./TensorMechanics]
[../]
[]
[AuxVariables]
[./c]
[./InitialCondition]
type = FunctionIC
function = x
[../]
[../]
[./s11]
family = MONOMIAL
order = CONSTANT
[../]
[./s22]
family = MONOMIAL
order = CONSTANT
[../]
[./ds11]
family = MONOMIAL
order = CONSTANT
[../]
[./ds22]
family = MONOMIAL
order = CONSTANT
[../]
[]
[AuxKernels]
[./s11]
type = RankTwoAux
variable = s11
rank_two_tensor = eigenstrain
index_i = 0
index_j = 0
[../]
[./s22]
type = RankTwoAux
variable = s22
rank_two_tensor = eigenstrain
index_i = 1
index_j = 1
[../]
[./ds11]
type = RankTwoAux
variable = ds11
rank_two_tensor = delastic_strain/dc
index_i = 0
index_j = 0
[../]
[./ds22]
type = RankTwoAux
variable = ds22
rank_two_tensor = delastic_strain/dc
index_i = 1
index_j = 1
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '1 1'
fill_method = symmetric_isotropic
[../]
[./stress]
type = ComputeLinearElasticStress
[../]
[./strain]
type = ComputeSmallStrain
displacements = 'disp_x disp_y'
eigenstrain_names = 'eigenstrain'
[../]
[./eigen1]
type = GenericConstantRankTwoTensor
tensor_values = '1 -1 0 0 0 0'
tensor_name = eigen1
[../]
[./eigen2]
type = GenericConstantRankTwoTensor
tensor_values = '-1 1 0 0 0 0'
tensor_name = eigen2
[../]
[./weight1]
type = DerivativeParsedMaterial
expression = 0.02*c^2
property_name = weight1
coupled_variables = c
[../]
[./weight2]
type = DerivativeParsedMaterial
expression = 0.02*(1-c)^2
property_name = weight2
coupled_variables = c
[../]
[./eigenstrain]
type = CompositeEigenstrain
tensors = 'eigen1 eigen2'
weights = 'weight1 weight2'
args = c
eigenstrain_name = eigenstrain
[../]
[]
[BCs]
[./bottom_y]
type = DirichletBC
variable = disp_y
boundary = bottom
value = 0
[../]
[./left_x]
type = DirichletBC
variable = disp_x
boundary = left
value = 0
[../]
[]
[Executioner]
type = Transient
num_steps = 1
[]
[Outputs]
exodus = true
execute_on = final
[]
(modules/combined/examples/mortar/eigenstrain_action.i)
#
# Eigenstrain with Mortar gradient periodicity
#
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 2
nx = 50
ny = 50
xmin = -0.5
xmax = 0.5
ymin = -0.5
ymax = 0.5
[]
[./cnode]
input = gen
type = ExtraNodesetGenerator
coord = '0.0 0.0'
new_boundary = 100
[../]
[./anode]
input = cnode
type = ExtraNodesetGenerator
coord = '0.0 0.5'
new_boundary = 101
[../]
[]
[Modules/PhaseField/MortarPeriodicity]
[./strain]
variable = 'disp_x disp_y'
periodicity = gradient
periodic_directions = 'x y'
[../]
[]
[GlobalParams]
derivative_order = 2
enable_jit = true
displacements = 'disp_x disp_y'
[]
# AuxVars to compute the free energy density for outputting
[AuxVariables]
[./local_energy]
order = CONSTANT
family = MONOMIAL
[../]
[]
[AuxKernels]
[./local_free_energy]
type = TotalFreeEnergy
block = 0
execute_on = 'initial LINEAR'
variable = local_energy
interfacial_vars = 'c'
kappa_names = 'kappa_c'
[../]
[]
[Variables]
# Solute concentration variable
[./c]
[./InitialCondition]
type = RandomIC
min = 0.49
max = 0.51
[../]
block = 0
[../]
[./w]
block = 0
[../]
# Mesh displacement
[./disp_x]
block = 0
[../]
[./disp_y]
block = 0
[../]
[]
[Kernels]
# Set up stress divergence kernels
[./TensorMechanics]
[../]
# Cahn-Hilliard kernels
[./c_dot]
type = CoupledTimeDerivative
variable = w
v = c
[../]
[./c_res]
type = SplitCHParsed
variable = c
f_name = F
kappa_name = kappa_c
w = w
[../]
[./w_res]
type = SplitCHWRes
variable = w
mob_name = M
[../]
[]
[Materials]
# declare a few constants, such as mobilities (L,M) and interface gradient prefactors (kappa*)
[./consts]
type = GenericConstantMaterial
block = '0'
prop_names = 'M kappa_c'
prop_values = '0.2 0.01 '
[../]
[./shear1]
type = GenericConstantRankTwoTensor
block = 0
tensor_values = '0 0 0 0 0 0.5'
tensor_name = shear1
[../]
[./shear2]
type = GenericConstantRankTwoTensor
block = 0
tensor_values = '0 0 0 0 0 -0.5'
tensor_name = shear2
[../]
[./expand3]
type = GenericConstantRankTwoTensor
block = 0
tensor_values = '1 1 0 0 0 0'
tensor_name = expand3
[../]
[./weight1]
type = DerivativeParsedMaterial
block = 0
expression = '0.3*c^2'
property_name = weight1
coupled_variables = c
[../]
[./weight2]
type = DerivativeParsedMaterial
block = 0
expression = '0.3*(1-c)^2'
property_name = weight2
coupled_variables = c
[../]
[./weight3]
type = DerivativeParsedMaterial
block = 0
expression = '4*(0.5-c)^2'
property_name = weight3
coupled_variables = c
[../]
# matrix phase
[./elasticity_tensor]
type = ComputeElasticityTensor
block = 0
C_ijkl = '1 1'
fill_method = symmetric_isotropic
[../]
[./strain]
type = ComputeSmallStrain
block = 0
displacements = 'disp_x disp_y'
[../]
[./eigenstrain]
type = CompositeEigenstrain
block = 0
tensors = 'shear1 shear2 expand3'
weights = 'weight1 weight2 weight3'
args = c
eigenstrain_name = eigenstrain
[../]
[./stress]
type = ComputeLinearElasticStress
block = 0
[../]
# chemical free energies
[./chemical_free_energy]
type = DerivativeParsedMaterial
block = 0
property_name = Fc
expression = '4*c^2*(1-c)^2'
coupled_variables = 'c'
outputs = exodus
output_properties = Fc
[../]
# elastic free energies
[./elastic_free_energy]
type = ElasticEnergyMaterial
f_name = Fe
block = 0
args = 'c'
outputs = exodus
output_properties = Fe
[../]
# free energy (chemical + elastic)
[./free_energy]
type = DerivativeSumMaterial
block = 0
property_name = F
sum_materials = 'Fc Fe'
coupled_variables = 'c'
[../]
[]
[BCs]
[./Periodic]
[./up_down]
primary = top
secondary = bottom
translation = '0 -1 0'
variable = 'c w'
[../]
[./left_right]
primary = left
secondary = right
translation = '1 0 0'
variable = 'c w'
[../]
[../]
# fix center point location
[./centerfix_x]
type = DirichletBC
boundary = 100
variable = disp_x
value = 0
[../]
[./centerfix_y]
type = DirichletBC
boundary = 100
variable = disp_y
value = 0
[../]
# fix side point x coordinate to inhibit rotation
[./angularfix]
type = DirichletBC
boundary = 101
variable = disp_x
value = 0
[../]
[]
[Preconditioning]
[./SMP]
type = SMP
full = true
[../]
[]
# We monitor the total free energy and the total solute concentration (should be constant)
[Postprocessors]
[./total_free_energy]
type = ElementIntegralVariablePostprocessor
block = 0
execute_on = 'initial TIMESTEP_END'
variable = local_energy
[../]
[./total_solute]
type = ElementIntegralVariablePostprocessor
block = 0
execute_on = 'initial TIMESTEP_END'
variable = c
[../]
[./min]
type = ElementExtremeValue
block = 0
execute_on = 'initial TIMESTEP_END'
value_type = min
variable = c
[../]
[./max]
type = ElementExtremeValue
block = 0
execute_on = 'initial TIMESTEP_END'
value_type = max
variable = c
[../]
[]
[Executioner]
type = Transient
scheme = bdf2
solve_type = 'PJFNK'
line_search = basic
# mortar currently does not support MPI parallelization
petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount'
petsc_options_value = ' lu NONZERO 1e-10'
l_max_its = 30
nl_max_its = 12
l_tol = 1.0e-4
nl_rel_tol = 1.0e-8
nl_abs_tol = 1.0e-10
start_time = 0.0
num_steps = 200
[./TimeStepper]
type = SolutionTimeAdaptiveDT
dt = 0.01
[../]
[]
[Outputs]
execute_on = 'timestep_end'
print_linear_residuals = false
exodus = true
[./table]
type = CSV
delimiter = ' '
[../]
[]
(modules/combined/test/tests/eigenstrain/composite.i)
[Mesh]
type = GeneratedMesh
dim = 2
nx = 5
ny = 5
[]
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Variables]
[./disp_x]
order = FIRST
family = LAGRANGE
[../]
[./disp_y]
order = FIRST
family = LAGRANGE
[../]
[]
[Kernels]
[./TensorMechanics]
[../]
[]
[AuxVariables]
[./c]
[./InitialCondition]
type = FunctionIC
function = x
[../]
[../]
[./s11]
family = MONOMIAL
order = CONSTANT
[../]
[./s22]
family = MONOMIAL
order = CONSTANT
[../]
[./ds11]
family = MONOMIAL
order = CONSTANT
[../]
[./ds22]
family = MONOMIAL
order = CONSTANT
[../]
[]
[AuxKernels]
[./s11]
type = RankTwoAux
variable = s11
rank_two_tensor = eigenstrain
index_i = 0
index_j = 0
[../]
[./s22]
type = RankTwoAux
variable = s22
rank_two_tensor = eigenstrain
index_i = 1
index_j = 1
[../]
[./ds11]
type = RankTwoAux
variable = ds11
rank_two_tensor = delastic_strain/dc
index_i = 0
index_j = 0
[../]
[./ds22]
type = RankTwoAux
variable = ds22
rank_two_tensor = delastic_strain/dc
index_i = 1
index_j = 1
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '1 1'
fill_method = symmetric_isotropic
[../]
[./stress]
type = ComputeLinearElasticStress
[../]
[./strain]
type = ComputeSmallStrain
displacements = 'disp_x disp_y'
eigenstrain_names = 'eigenstrain'
[../]
[./eigen1]
type = GenericConstantRankTwoTensor
tensor_values = '1 -1 0 0 0 0'
tensor_name = eigen1
[../]
[./eigen2]
type = GenericConstantRankTwoTensor
tensor_values = '-1 1 0 0 0 0'
tensor_name = eigen2
[../]
[./weight1]
type = DerivativeParsedMaterial
expression = 0.02*c^2
property_name = weight1
coupled_variables = c
[../]
[./weight2]
type = DerivativeParsedMaterial
expression = 0.02*(1-c)^2
property_name = weight2
coupled_variables = c
[../]
[./eigenstrain]
type = CompositeEigenstrain
tensors = 'eigen1 eigen2'
weights = 'weight1 weight2'
args = c
eigenstrain_name = eigenstrain
[../]
[]
[BCs]
[./bottom_y]
type = DirichletBC
variable = disp_y
boundary = bottom
value = 0
[../]
[./left_x]
type = DirichletBC
variable = disp_x
boundary = left
value = 0
[../]
[]
[Executioner]
type = Transient
num_steps = 1
[]
[Outputs]
exodus = true
execute_on = final
[]
(modules/combined/examples/mortar/eigenstrain.i)
#
# Eigenstrain with Mortar gradient periodicity
#
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 2
nx = 50
ny = 50
xmin = -0.5
xmax = 0.5
ymin = -0.5
ymax = 0.5
[]
[./cnode]
input = gen
type = ExtraNodesetGenerator
coord = '0.0 0.0'
new_boundary = 100
[../]
[./anode]
input = cnode
type = ExtraNodesetGenerator
coord = '0.0 0.5'
new_boundary = 101
[../]
[secondary_x]
input = anode
type = LowerDBlockFromSidesetGenerator
sidesets = '3'
new_block_id = 10
new_block_name = "secondary_x"
[]
[primary_x]
input = secondary_x
type = LowerDBlockFromSidesetGenerator
sidesets = '1'
new_block_id = 12
new_block_name = "primary_x"
[]
[secondary_y]
input = primary_x
type = LowerDBlockFromSidesetGenerator
sidesets = '0'
new_block_id = 11
new_block_name = "secondary_y"
[]
[primary_y]
input = secondary_y
type = LowerDBlockFromSidesetGenerator
sidesets = '2'
new_block_id = 13
new_block_name = "primary_y"
[]
[]
[GlobalParams]
derivative_order = 2
enable_jit = true
displacements = 'disp_x disp_y'
[]
# AuxVars to compute the free energy density for outputting
[AuxVariables]
[./local_energy]
order = CONSTANT
family = MONOMIAL
[../]
[]
[AuxKernels]
[./local_free_energy]
type = TotalFreeEnergy
block = 0
execute_on = 'initial LINEAR'
variable = local_energy
interfacial_vars = 'c'
kappa_names = 'kappa_c'
[../]
[]
[Variables]
# Solute concentration variable
[./c]
[./InitialCondition]
type = RandomIC
min = 0.49
max = 0.51
[../]
block = 0
[../]
[./w]
block = 0
[../]
# Mesh displacement
[./disp_x]
block = 0
[../]
[./disp_y]
block = 0
[../]
# Lagrange multipliers for gradient component periodicity
[./lm_left_right_xx]
order = FIRST
family = LAGRANGE
block = secondary_x
[../]
[./lm_left_right_xy]
order = FIRST
family = LAGRANGE
block = secondary_x
[../]
[./lm_left_right_yx]
order = FIRST
family = LAGRANGE
block = secondary_x
[../]
[./lm_left_right_yy]
order = FIRST
family = LAGRANGE
block = secondary_x
[../]
[./lm_up_down_xx]
order = FIRST
family = LAGRANGE
block = secondary_y
[../]
[./lm_up_down_xy]
order = FIRST
family = LAGRANGE
block = secondary_y
[../]
[./lm_up_down_yx]
order = FIRST
family = LAGRANGE
block = secondary_y
[../]
[./lm_up_down_yy]
order = FIRST
family = LAGRANGE
block = secondary_y
[../]
[]
[Constraints]
[./ud_disp_x_grad_x]
type = EqualGradientConstraint
variable = lm_up_down_xx
component = 0
secondary_variable = disp_x
secondary_boundary = bottom
primary_boundary = top
secondary_subdomain = secondary_y
primary_subdomain = primary_y
periodic = true
[../]
[./ud_disp_x_grad_y]
type = EqualGradientConstraint
variable = lm_up_down_xy
component = 1
secondary_variable = disp_x
secondary_boundary = bottom
primary_boundary = top
secondary_subdomain = secondary_y
primary_subdomain = primary_y
periodic = true
[../]
[./ud_disp_y_grad_x]
type = EqualGradientConstraint
variable = lm_up_down_yx
component = 0
secondary_variable = disp_y
secondary_boundary = bottom
primary_boundary = top
secondary_subdomain = secondary_y
primary_subdomain = primary_y
periodic = true
[../]
[./ud_disp_y_grad_y]
type = EqualGradientConstraint
variable = lm_up_down_yy
component = 1
secondary_variable = disp_y
secondary_boundary = bottom
primary_boundary = top
secondary_subdomain = secondary_y
primary_subdomain = primary_y
periodic = true
[../]
[./lr_disp_x_grad_x]
type = EqualGradientConstraint
variable = lm_left_right_xx
component = 0
secondary_variable = disp_x
secondary_boundary = left
primary_boundary = right
secondary_subdomain = secondary_x
primary_subdomain = primary_x
periodic = true
[../]
[./lr_disp_x_grad_y]
type = EqualGradientConstraint
variable = lm_left_right_xy
component = 1
secondary_variable = disp_x
secondary_boundary = left
primary_boundary = right
secondary_subdomain = secondary_x
primary_subdomain = primary_x
periodic = true
[../]
[./lr_disp_y_grad_x]
type = EqualGradientConstraint
variable = lm_left_right_yx
component = 0
secondary_variable = disp_y
secondary_boundary = left
primary_boundary = right
secondary_subdomain = secondary_x
primary_subdomain = primary_x
periodic = true
[../]
[./lr_disp_y_grad_y]
type = EqualGradientConstraint
variable = lm_left_right_yy
component = 1
secondary_variable = disp_y
secondary_boundary = left
primary_boundary = right
secondary_subdomain = secondary_x
primary_subdomain = primary_x
periodic = true
[../]
[]
[Kernels]
# Set up stress divergence kernels
[./TensorMechanics]
block = 0
[../]
# Cahn-Hilliard kernels
[./c_dot]
type = CoupledTimeDerivative
variable = w
v = c
block = 0
[../]
[./c_res]
type = SplitCHParsed
variable = c
f_name = F
kappa_name = kappa_c
w = w
block = 0
[../]
[./w_res]
type = SplitCHWRes
variable = w
mob_name = M
block = 0
[../]
[]
[Materials]
# declare a few constants, such as mobilities (L,M) and interface gradient prefactors (kappa*)
[./consts]
type = GenericConstantMaterial
block = '0 10 11'
prop_names = 'M kappa_c'
prop_values = '0.2 0.01 '
[../]
[./shear1]
type = GenericConstantRankTwoTensor
block = 0
tensor_values = '0 0 0 0 0 0.5'
tensor_name = shear1
[../]
[./shear2]
type = GenericConstantRankTwoTensor
block = 0
tensor_values = '0 0 0 0 0 -0.5'
tensor_name = shear2
[../]
[./expand3]
type = GenericConstantRankTwoTensor
block = 0
tensor_values = '1 1 0 0 0 0'
tensor_name = expand3
[../]
[./weight1]
type = DerivativeParsedMaterial
block = 0
expression = '0.3*c^2'
property_name = weight1
coupled_variables = c
[../]
[./weight2]
type = DerivativeParsedMaterial
block = 0
expression = '0.3*(1-c)^2'
property_name = weight2
coupled_variables = c
[../]
[./weight3]
type = DerivativeParsedMaterial
block = 0
expression = '4*(0.5-c)^2'
property_name = weight3
coupled_variables = c
[../]
# matrix phase
[./elasticity_tensor]
type = ComputeElasticityTensor
block = 0
C_ijkl = '1 1'
fill_method = symmetric_isotropic
[../]
[./strain]
type = ComputeSmallStrain
block = 0
displacements = 'disp_x disp_y'
eigenstrain_names = eigenstrain
[../]
[./eigenstrain]
type = CompositeEigenstrain
block = 0
tensors = 'shear1 shear2 expand3'
weights = 'weight1 weight2 weight3'
args = c
eigenstrain_name = eigenstrain
[../]
[./stress]
type = ComputeLinearElasticStress
block = 0
[../]
# chemical free energies
[./chemical_free_energy]
type = DerivativeParsedMaterial
block = 0
property_name = Fc
expression = '4*c^2*(1-c)^2'
coupled_variables = 'c'
outputs = exodus
output_properties = Fc
[../]
# elastic free energies
[./elastic_free_energy]
type = ElasticEnergyMaterial
f_name = Fe
block = 0
args = 'c'
outputs = exodus
output_properties = Fe
[../]
# free energy (chemical + elastic)
[./free_energy]
type = DerivativeSumMaterial
block = 0
property_name = F
sum_materials = 'Fc Fe'
coupled_variables = 'c'
[../]
[]
[BCs]
[./Periodic]
[./up_down]
primary = top
secondary = bottom
translation = '0 -1 0'
variable = 'c w'
[../]
[./left_right]
primary = left
secondary = right
translation = '1 0 0'
variable = 'c w'
[../]
[../]
# fix center point location
[./centerfix_x]
type = DirichletBC
boundary = 100
variable = disp_x
value = 0
[../]
[./centerfix_y]
type = DirichletBC
boundary = 100
variable = disp_y
value = 0
[../]
# fix side point x coordinate to inhibit rotation
[./angularfix]
type = DirichletBC
boundary = 101
variable = disp_x
value = 0
[../]
[]
[Preconditioning]
[./SMP]
type = SMP
full = true
[../]
[]
# We monitor the total free energy and the total solute concentration (should be constant)
[Postprocessors]
[./total_free_energy]
type = ElementIntegralVariablePostprocessor
block = 0
execute_on = 'initial TIMESTEP_END'
variable = local_energy
[../]
[./total_solute]
type = ElementIntegralVariablePostprocessor
block = 0
execute_on = 'initial TIMESTEP_END'
variable = c
[../]
[./min]
type = ElementExtremeValue
block = 0
execute_on = 'initial TIMESTEP_END'
value_type = min
variable = c
[../]
[./max]
type = ElementExtremeValue
block = 0
execute_on = 'initial TIMESTEP_END'
value_type = max
variable = c
[../]
[]
[Executioner]
type = Transient
scheme = bdf2
solve_type = 'PJFNK'
line_search = basic
# mortar currently does not support MPI parallelization
petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount'
petsc_options_value = ' lu NONZERO 1e-10'
l_max_its = 30
nl_max_its = 12
l_tol = 1.0e-4
nl_rel_tol = 1.0e-8
nl_abs_tol = 1.0e-10
start_time = 0.0
num_steps = 200
[./TimeStepper]
type = SolutionTimeAdaptiveDT
dt = 0.01
[../]
[]
[Outputs]
execute_on = 'timestep_end'
print_linear_residuals = false
exodus = true
[./table]
type = CSV
delimiter = ' '
[../]
[]
(modules/combined/examples/publications/rapid_dev/fig8.i)
#
# Fig. 8 input for 10.1016/j.commatsci.2017.02.017
# D. Schwen et al./Computational Materials Science 132 (2017) 36-45
# Two growing particles with differnet anisotropic Eigenstrains
#
[Mesh]
[./gen]
type = GeneratedMeshGenerator
dim = 2
nx = 80
ny = 40
xmin = -20
xmax = 20
ymin = 0
ymax = 20
elem_type = QUAD4
[../]
[./cnode]
type = ExtraNodesetGenerator
input = gen
coord = '0.0 0.0'
new_boundary = 100
tolerance = 0.1
[../]
[]
[GlobalParams]
# CahnHilliard needs the third derivatives
derivative_order = 3
enable_jit = true
displacements = 'disp_x disp_y'
int_width = 1
[]
# AuxVars to compute the free energy density for outputting
[AuxVariables]
[./local_energy]
order = CONSTANT
family = MONOMIAL
[../]
[./cross_energy]
order = CONSTANT
family = MONOMIAL
[../]
[]
[AuxKernels]
[./local_free_energy]
type = TotalFreeEnergy
variable = local_energy
interfacial_vars = 'c'
kappa_names = 'kappa_c'
additional_free_energy = cross_energy
execute_on = 'INITIAL TIMESTEP_END'
[../]
[./cross_terms]
type = CrossTermGradientFreeEnergy
variable = cross_energy
interfacial_vars = 'eta1 eta2 eta3'
kappa_names = 'kappa11 kappa12 kappa13
kappa21 kappa22 kappa23
kappa31 kappa32 kappa33'
execute_on = 'INITIAL TIMESTEP_END'
[../]
[]
# particle x positions and radius
P1X=8
P2X=-4
PR=2
[Variables]
# Solute concentration variable
[./c]
[./InitialCondition]
type = SpecifiedSmoothCircleIC
x_positions = '${P1X} ${P2X}'
y_positions = '0 0'
z_positions = '0 0'
radii = '${PR} ${PR}'
outvalue = 0.5
invalue = 0.9
[../]
[../]
[./w]
[../]
# Order parameter for the Matrix
[./eta1]
[./InitialCondition]
type = SpecifiedSmoothCircleIC
x_positions = '${P1X} ${P2X}'
y_positions = '0 0'
z_positions = '0 0'
radii = '${PR} ${PR}'
outvalue = 1.0
invalue = 0.0
[../]
[../]
# Order parameters for the 2 different inclusion orientations
[./eta2]
[./InitialCondition]
type = SmoothCircleIC
x1 = ${P2X}
y1 = 0
radius = ${PR}
invalue = 1.0
outvalue = 0.0
[../]
[../]
[./eta3]
[./InitialCondition]
type = SmoothCircleIC
x1 = ${P1X}
y1 = 0
radius = ${PR}
invalue = 1.0
outvalue = 0.0
[../]
[../]
# Lagrange-multiplier
[./lambda]
initial_condition = 1.0
[../]
[]
[Modules]
[./TensorMechanics]
[./Master]
[./all]
add_variables = true
strain = SMALL
eigenstrain_names = eigenstrain
[../]
[../]
[../]
[]
[Kernels]
# Split Cahn-Hilliard kernels
[./c_res]
type = SplitCHParsed
variable = c
f_name = F
args = 'eta1 eta2 eta3'
kappa_name = kappa_c
w = w
[../]
[./wres]
type = SplitCHWRes
variable = w
mob_name = M
[../]
[./time]
type = CoupledTimeDerivative
variable = w
v = c
[../]
# Allen-Cahn and Lagrange-multiplier constraint kernels for order parameter 1
[./deta1dt]
type = TimeDerivative
variable = eta1
[../]
[./ACBulk1]
type = AllenCahn
variable = eta1
args = 'eta2 eta3 c'
mob_name = L1
f_name = F
[../]
[./ACInterface1]
type = ACMultiInterface
variable = eta1
etas = 'eta1 eta2 eta3'
mob_name = L1
kappa_names = 'kappa11 kappa12 kappa13'
[../]
[./lagrange1]
type = SwitchingFunctionConstraintEta
variable = eta1
h_name = h1
lambda = lambda
[../]
# Allen-Cahn and Lagrange-multiplier constraint kernels for order parameter 2
[./deta2dt]
type = TimeDerivative
variable = eta2
[../]
[./ACBulk2]
type = AllenCahn
variable = eta2
args = 'eta1 eta3 c'
mob_name = L2
f_name = F
[../]
[./ACInterface2]
type = ACMultiInterface
variable = eta2
etas = 'eta1 eta2 eta3'
mob_name = L2
kappa_names = 'kappa21 kappa22 kappa23'
[../]
[./lagrange2]
type = SwitchingFunctionConstraintEta
variable = eta2
h_name = h2
lambda = lambda
[../]
# Allen-Cahn and Lagrange-multiplier constraint kernels for order parameter 3
[./deta3dt]
type = TimeDerivative
variable = eta3
[../]
[./ACBulk3]
type = AllenCahn
variable = eta3
args = 'eta1 eta2 c'
mob_name = L3
f_name = F
[../]
[./ACInterface3]
type = ACMultiInterface
variable = eta3
etas = 'eta1 eta2 eta3'
mob_name = L3
kappa_names = 'kappa31 kappa32 kappa33'
[../]
[./lagrange3]
type = SwitchingFunctionConstraintEta
variable = eta3
h_name = h3
lambda = lambda
[../]
# Lagrange-multiplier constraint kernel for lambda
[./lagrange]
type = SwitchingFunctionConstraintLagrange
variable = lambda
etas = 'eta1 eta2 eta3'
h_names = 'h1 h2 h3'
epsilon = 1e-6
[../]
[]
[Materials]
# declare a few constants, such as mobilities (L,M) and interface gradient prefactors (kappa*)
[./consts]
type = GenericConstantMaterial
block = 0
prop_names = 'M kappa_c L1 L2 L3 kappa11 kappa12 kappa13 kappa21 kappa22 kappa23 kappa31 kappa32 kappa33'
prop_values = '0.2 0.5 1 1 1 2.00 2.00 2.00 2.00 2.00 2.00 2.00 2.00 2.00 '
[../]
# We use this to output the level of constraint enforcement
# ideally it should be 0 everywhere, if the constraint is fully enforced
[./etasummat]
type = ParsedMaterial
property_name = etasum
coupled_variables = 'eta1 eta2 eta3'
material_property_names = 'h1 h2 h3'
expression = 'h1+h2+h3-1'
outputs = exodus
[../]
# This parsed material creates a single property for visualization purposes.
# It will be 0 for phase 1, -1 for phase 2, and 1 for phase 3
[./phasemap]
type = ParsedMaterial
property_name = phase
coupled_variables = 'eta2 eta3'
expression = 'if(eta3>0.5,1,0)-if(eta2>0.5,1,0)'
outputs = exodus
[../]
# global mechanical properties
[./elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '400 400'
fill_method = symmetric_isotropic
[../]
[./stress]
type = ComputeLinearElasticStress
[../]
# eigenstrain
[./eigenstrain_2]
type = GenericConstantRankTwoTensor
tensor_name = s2
tensor_values = '0 -0.05 0 0 0 0'
[../]
[./eigenstrain_3]
type = GenericConstantRankTwoTensor
tensor_name = s3
tensor_values = '-0.05 0 0 0 0 0'
[../]
[./eigenstrain]
type = CompositeEigenstrain
weights = 'h2 h3'
tensors = 's2 s3'
args = 'eta2 eta3'
eigenstrain_name = eigenstrain
[../]
# switching functions
[./switching1]
type = SwitchingFunctionMaterial
function_name = h1
eta = eta1
h_order = SIMPLE
[../]
[./switching2]
type = SwitchingFunctionMaterial
function_name = h2
eta = eta2
h_order = SIMPLE
[../]
[./switching3]
type = SwitchingFunctionMaterial
function_name = h3
eta = eta3
h_order = SIMPLE
[../]
[./barrier]
type = MultiBarrierFunctionMaterial
etas = 'eta1 eta2 eta3'
[../]
# chemical free energies
[./chemical_free_energy_1]
type = DerivativeParsedMaterial
property_name = Fc1
expression = '4*c^2'
coupled_variables = 'c'
derivative_order = 2
[../]
[./chemical_free_energy_2]
type = DerivativeParsedMaterial
property_name = Fc2
expression = '(c-0.9)^2-0.4'
coupled_variables = 'c'
derivative_order = 2
[../]
[./chemical_free_energy_3]
type = DerivativeParsedMaterial
property_name = Fc3
expression = '(c-0.9)^2-0.5'
coupled_variables = 'c'
derivative_order = 2
[../]
# global chemical free energy
[./chemical_free_energy]
type = DerivativeMultiPhaseMaterial
f_name = Fc
fi_names = 'Fc1 Fc2 Fc3'
hi_names = 'h1 h2 h3'
etas = 'eta1 eta2 eta3'
coupled_variables = 'c'
W = 3
[../]
# global elastic free energy
[./elastic_free_energy]
type = ElasticEnergyMaterial
f_name = Fe
args = 'eta2 eta3'
outputs = exodus
output_properties = Fe
derivative_order = 2
[../]
# Penalize phase 2 and 3 coexistence
[./multi_phase_penalty]
type = DerivativeParsedMaterial
property_name = Fp
expression = '50*(eta2*eta3)^2'
coupled_variables = 'eta2 eta3'
derivative_order = 2
outputs = exodus
output_properties = Fp
[../]
# free energy
[./free_energy]
type = DerivativeSumMaterial
property_name = F
sum_materials = 'Fc Fe Fp'
coupled_variables = 'c eta1 eta2 eta3'
derivative_order = 2
[../]
[]
[BCs]
# fix center point location
[./centerfix_x]
type = DirichletBC
boundary = 100
variable = disp_x
value = 0
[../]
# fix side point x coordinate to inhibit rotation
[./angularfix]
type = DirichletBC
boundary = bottom
variable = disp_y
value = 0
[../]
[]
[Preconditioning]
[./SMP]
type = SMP
full = true
[../]
[]
# We monitor the total free energy and the total solute concentration (should be constant)
[Postprocessors]
[./total_free_energy]
type = ElementIntegralVariablePostprocessor
variable = local_energy
execute_on = 'INITIAL TIMESTEP_END'
[../]
[./total_solute]
type = ElementIntegralVariablePostprocessor
variable = c
execute_on = 'INITIAL TIMESTEP_END'
[../]
[]
[Executioner]
type = Transient
scheme = bdf2
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -sub_pc_type'
petsc_options_value = 'asm lu'
l_max_its = 30
nl_max_its = 10
l_tol = 1.0e-4
nl_rel_tol = 1.0e-8
nl_abs_tol = 1.0e-10
start_time = 0.0
end_time = 12.0
[./TimeStepper]
type = IterationAdaptiveDT
optimal_iterations = 8
iteration_window = 1
dt = 0.01
[../]
[]
[Outputs]
print_linear_residuals = false
execute_on = 'INITIAL TIMESTEP_END'
exodus = true
[./table]
type = CSV
delimiter = ' '
[../]
[]
[Debug]
# show_var_residual_norms = true
[]
(modules/solid_mechanics/test/tests/action/composite_eigenstrain.i)
# The primary purpose of this test is to verify that the ability to combine
# multiple eigenstrains works correctly. It should behave identically to the
# constant_expansion_coeff.i model in the thermal_expansion directory. Instead
# of having the eigenstrain names passed directly to the SolidMechanics QuasiStatic Physics,
# the QuasiStatic Physics should be able to extract the necessary eigenstrains and apply
# to their respective blocks without reduncacy.
# This test involves only thermal expansion strains on a 2x2x2 cube of approximate
# steel material. An initial temperature of 25 degrees C is given for the material,
# and an auxkernel is used to calculate the temperature in the entire cube to
# raise the temperature each time step. After the first timestep,in which the
# temperature jumps, the temperature increases by 6.25C each timestep.
# The thermal strain increment should therefore be
# 6.25 C * 1.3e-5 1/C = 8.125e-5 m/m.
[Mesh]
type = GeneratedMesh
dim = 3
nx = 2
ny = 2
nz = 2
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
[]
[AuxVariables]
[./temp]
[../]
[./c]
[../]
[]
[Problem]
solve = false
[]
[ICs]
[./InitialCondition]
type = ConstantIC
value = 1
variable = c
[../]
[]
[Functions]
[./temperature_load]
type = ParsedFunction
expression = t*(500.0)+300.0
[../]
[]
[Physics/SolidMechanics/QuasiStatic]
[./solid]
strain = SMALL
incremental = true
add_variables = true
automatic_eigenstrain_names = true
generate_output = 'strain_xx strain_yy strain_zz'
[../]
[]
[AuxKernels]
[./tempfuncaux]
type = FunctionAux
variable = temp
function = temperature_load
[../]
[]
[BCs]
[./x_bot]
type = DirichletBC
variable = disp_x
boundary = left
value = 0.0
[../]
[./y_bot]
type = DirichletBC
variable = disp_y
boundary = bottom
value = 0.0
[../]
[./z_bot]
type = DirichletBC
variable = disp_z
boundary = back
value = 0.0
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 2.1e5
poissons_ratio = 0.3
[../]
[./small_stress]
type = ComputeFiniteStrainElasticStress
[../]
[./thermal_expansion_strain1]
type = ComputeThermalExpansionEigenstrain
stress_free_temperature = 298
thermal_expansion_coeff = 1.0e-5
temperature = temp
eigenstrain_name = eigenstrain1
[../]
[./thermal_expansion_strain2]
type = ComputeThermalExpansionEigenstrain
stress_free_temperature = 298
thermal_expansion_coeff = 0.3e-5
temperature = temp
eigenstrain_name = eigenstrain2
[../]
[./composite]
type = CompositeEigenstrain
tensors = ' eigenstrain1 eigenstrain2'
weights = 'weight1 weight2'
eigenstrain_name = 'eigenstrain'
coupled_variables = c
[../]
[./weights]
type = GenericConstantMaterial
prop_names = 'weight1 weight2'
prop_values = '1.0 1.0'
[../]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
l_max_its = 50
nl_max_its = 50
nl_rel_tol = 1e-12
nl_abs_tol = 1e-10
l_tol = 1e-9
start_time = 0.0
end_time = 0.075
dt = 0.0125
dtmin = 0.0001
[]
[Outputs]
exodus = true
checkpoint = true
[]
[Postprocessors]
[./strain_xx]
type = ElementAverageValue
variable = strain_xx
block = 0
[../]
[./strain_yy]
type = ElementAverageValue
variable = strain_yy
block = 0
[../]
[./strain_zz]
type = ElementAverageValue
variable = strain_zz
block = 0
[../]
[./temperature]
type = AverageNodalVariableValue
variable = temp
block = 0
[../]
[]
(modules/combined/examples/periodic_strain/global_strain_pfm_3D.i)
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 3
nx = 20
ny = 20
nz = 20
xmin = -0.5
xmax = 0.5
ymin = -0.5
ymax = 0.5
zmin = -0.5
zmax = 0.5
[]
[./cnode]
input = gen
type = ExtraNodesetGenerator
coord = '0.0 0.0 0.0'
new_boundary = 100
[../]
[]
[Variables]
[./u_x]
[../]
[./u_y]
[../]
[./u_z]
[../]
[./global_strain]
order = SIXTH
family = SCALAR
[../]
[./c]
[./InitialCondition]
type = FunctionIC
function = 'sin(2*x*pi)*sin(2*y*pi)*sin(2*z*pi)*0.05+0.6'
[../]
[../]
[./w]
[../]
[]
[AuxVariables]
[./local_energy]
order = CONSTANT
family = MONOMIAL
[../]
[./disp_x]
[../]
[./disp_y]
[../]
[./disp_z]
[../]
[./s00]
order = CONSTANT
family = MONOMIAL
[../]
[./s01]
order = CONSTANT
family = MONOMIAL
[../]
[./s10]
order = CONSTANT
family = MONOMIAL
[../]
[./s11]
order = CONSTANT
family = MONOMIAL
[../]
[./e00]
order = CONSTANT
family = MONOMIAL
[../]
[./e01]
order = CONSTANT
family = MONOMIAL
[../]
[./e10]
order = CONSTANT
family = MONOMIAL
[../]
[./e11]
order = CONSTANT
family = MONOMIAL
[../]
[]
[AuxKernels]
[./disp_x]
type = GlobalDisplacementAux
variable = disp_x
scalar_global_strain = global_strain
global_strain_uo = global_strain_uo
component = 0
[../]
[./disp_y]
type = GlobalDisplacementAux
variable = disp_y
scalar_global_strain = global_strain
global_strain_uo = global_strain_uo
component = 1
[../]
[./disp_z]
type = GlobalDisplacementAux
variable = disp_z
scalar_global_strain = global_strain
global_strain_uo = global_strain_uo
component = 2
[../]
[./local_free_energy]
type = TotalFreeEnergy
execute_on = 'initial LINEAR'
variable = local_energy
interfacial_vars = 'c'
kappa_names = 'kappa_c'
[../]
[./s00]
type = RankTwoAux
variable = s00
rank_two_tensor = stress
index_i = 0
index_j = 0
[../]
[./s01]
type = RankTwoAux
variable = s01
rank_two_tensor = stress
index_i = 0
index_j = 1
[../]
[./s10]
type = RankTwoAux
variable = s10
rank_two_tensor = stress
index_i = 1
index_j = 0
[../]
[./s11]
type = RankTwoAux
variable = s11
rank_two_tensor = stress
index_i = 1
index_j = 1
[../]
[./e00]
type = RankTwoAux
variable = e00
rank_two_tensor = total_strain
index_i = 0
index_j = 0
[../]
[./e01]
type = RankTwoAux
variable = e01
rank_two_tensor = total_strain
index_i = 0
index_j = 1
[../]
[./e10]
type = RankTwoAux
variable = e10
rank_two_tensor = total_strain
index_i = 1
index_j = 0
[../]
[./e11]
type = RankTwoAux
variable = e11
rank_two_tensor = total_strain
index_i = 1
index_j = 1
[../]
[]
[GlobalParams]
derivative_order = 2
enable_jit = true
displacements = 'u_x u_y u_z'
block = 0
[]
[Kernels]
[./TensorMechanics]
[../]
# Cahn-Hilliard kernels
[./c_dot]
type = CoupledTimeDerivative
variable = w
v = c
block = 0
[../]
[./c_res]
type = SplitCHParsed
variable = c
f_name = F
kappa_name = kappa_c
w = w
block = 0
[../]
[./w_res]
type = SplitCHWRes
variable = w
mob_name = M
block = 0
[../]
[]
[ScalarKernels]
[./global_strain]
type = GlobalStrain
variable = global_strain
global_strain_uo = global_strain_uo
[../]
[]
[BCs]
[./Periodic]
[./all]
auto_direction = 'x y z'
variable = 'c w u_x u_y u_z'
[../]
[../]
# fix center point location
[./centerfix_x]
type = DirichletBC
boundary = 100
variable = u_x
value = 0
[../]
[./centerfix_y]
type = DirichletBC
boundary = 100
variable = u_y
value = 0
[../]
[./centerfix_z]
type = DirichletBC
boundary = 100
variable = u_z
value = 0
[../]
[]
[Materials]
[./consts]
type = GenericConstantMaterial
prop_names = 'M kappa_c'
prop_values = '0.2 0.01 '
[../]
[./shear1]
type = GenericConstantRankTwoTensor
tensor_values = '0 0 0 0.5 0.5 0.5'
tensor_name = shear1
[../]
[./shear2]
type = GenericConstantRankTwoTensor
tensor_values = '0 0 0 -0.5 -0.5 -0.5'
tensor_name = shear2
[../]
[./expand3]
type = GenericConstantRankTwoTensor
tensor_values = '1 1 1 0 0 0'
tensor_name = expand3
[../]
[./weight1]
type = DerivativeParsedMaterial
expression = '0.3*c^2'
property_name = weight1
coupled_variables = c
[../]
[./weight2]
type = DerivativeParsedMaterial
expression = '0.3*(1-c)^2'
property_name = weight2
coupled_variables = c
[../]
[./weight3]
type = DerivativeParsedMaterial
expression = '4*(0.5-c)^2'
property_name = weight3
coupled_variables = c
[../]
[./elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '1 1'
fill_method = symmetric_isotropic
[../]
[./strain]
type = ComputeSmallStrain
global_strain = global_strain
eigenstrain_names = eigenstrain
[../]
[./eigenstrain]
type = CompositeEigenstrain
tensors = 'shear1 shear2 expand3'
weights = 'weight1 weight2 weight3'
args = c
eigenstrain_name = eigenstrain
[../]
[./global_strain]
type = ComputeGlobalStrain
scalar_global_strain = global_strain
global_strain_uo = global_strain_uo
[../]
[./stress]
type = ComputeLinearElasticStress
[../]
# chemical free energies
[./chemical_free_energy]
type = DerivativeParsedMaterial
property_name = Fc
expression = '4*c^2*(1-c)^2'
coupled_variables = 'c'
outputs = exodus
output_properties = Fc
[../]
# elastic free energies
[./elastic_free_energy]
type = ElasticEnergyMaterial
f_name = Fe
args = 'c'
outputs = exodus
output_properties = Fe
[../]
# free energy (chemical + elastic)
[./free_energy]
type = DerivativeSumMaterial
block = 0
property_name = F
sum_materials = 'Fc Fe'
coupled_variables = 'c'
[../]
[]
[UserObjects]
[./global_strain_uo]
type = GlobalStrainUserObject
execute_on = 'Initial Linear Nonlinear'
[../]
[]
[Postprocessors]
[./total_free_energy]
type = ElementIntegralVariablePostprocessor
execute_on = 'initial TIMESTEP_END'
variable = local_energy
[../]
[./total_solute]
type = ElementIntegralVariablePostprocessor
execute_on = 'initial TIMESTEP_END'
variable = c
[../]
[./min]
type = ElementExtremeValue
execute_on = 'initial TIMESTEP_END'
value_type = min
variable = c
[../]
[./max]
type = ElementExtremeValue
execute_on = 'initial TIMESTEP_END'
value_type = max
variable = c
[../]
[]
[Preconditioning]
[./SMP]
type = SMP
full = true
[../]
[]
[Executioner]
type = Transient
scheme = bdf2
solve_type = 'PJFNK'
line_search = basic
petsc_options_iname = '-pc_type -ksp_gmres_restart -sub_ksp_type -sub_pc_type -pc_asm_overlap'
petsc_options_value = 'asm 31 preonly lu 1'
l_max_its = 30
nl_max_its = 12
l_tol = 1.0e-4
nl_rel_tol = 1.0e-8
nl_abs_tol = 1.0e-10
start_time = 0.0
end_time = 2.0
[./TimeStepper]
type = IterationAdaptiveDT
dt = 0.01
growth_factor = 1.5
cutback_factor = 0.8
optimal_iterations = 9
iteration_window = 2
[../]
[]
[Outputs]
execute_on = 'timestep_end'
print_linear_residuals = false
exodus = true
[./table]
type = CSV
delimiter = ' '
[../]
[]
(modules/combined/examples/periodic_strain/global_strain_pfm.i)
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 2
nx = 50
ny = 50
xmin = -0.5
xmax = 0.5
ymin = -0.5
ymax = 0.5
[]
[./cnode]
input = gen
type = ExtraNodesetGenerator
coord = '0.0 0.0'
new_boundary = 100
[../]
[]
[Variables]
[./u_x]
[../]
[./u_y]
[../]
[./global_strain]
order = THIRD
family = SCALAR
[../]
[./c]
[./InitialCondition]
type = FunctionIC
function = 'sin(2*x*pi)*sin(2*y*pi)*0.05+0.6'
[../]
[../]
[./w]
[../]
[]
[AuxVariables]
[./local_energy]
order = CONSTANT
family = MONOMIAL
[../]
[./disp_x]
[../]
[./disp_y]
[../]
[./s00]
order = CONSTANT
family = MONOMIAL
[../]
[./s01]
order = CONSTANT
family = MONOMIAL
[../]
[./s10]
order = CONSTANT
family = MONOMIAL
[../]
[./s11]
order = CONSTANT
family = MONOMIAL
[../]
[./e00]
order = CONSTANT
family = MONOMIAL
[../]
[./e01]
order = CONSTANT
family = MONOMIAL
[../]
[./e10]
order = CONSTANT
family = MONOMIAL
[../]
[./e11]
order = CONSTANT
family = MONOMIAL
[../]
[]
[AuxKernels]
[./disp_x]
type = GlobalDisplacementAux
variable = disp_x
scalar_global_strain = global_strain
global_strain_uo = global_strain_uo
component = 0
[../]
[./disp_y]
type = GlobalDisplacementAux
variable = disp_y
scalar_global_strain = global_strain
global_strain_uo = global_strain_uo
component = 1
[../]
[./local_free_energy]
type = TotalFreeEnergy
execute_on = 'initial LINEAR'
variable = local_energy
interfacial_vars = 'c'
kappa_names = 'kappa_c'
[../]
[./s00]
type = RankTwoAux
variable = s00
rank_two_tensor = stress
index_i = 0
index_j = 0
[../]
[./s01]
type = RankTwoAux
variable = s01
rank_two_tensor = stress
index_i = 0
index_j = 1
[../]
[./s10]
type = RankTwoAux
variable = s10
rank_two_tensor = stress
index_i = 1
index_j = 0
[../]
[./s11]
type = RankTwoAux
variable = s11
rank_two_tensor = stress
index_i = 1
index_j = 1
[../]
[./e00]
type = RankTwoAux
variable = e00
rank_two_tensor = total_strain
index_i = 0
index_j = 0
[../]
[./e01]
type = RankTwoAux
variable = e01
rank_two_tensor = total_strain
index_i = 0
index_j = 1
[../]
[./e10]
type = RankTwoAux
variable = e10
rank_two_tensor = total_strain
index_i = 1
index_j = 0
[../]
[./e11]
type = RankTwoAux
variable = e11
rank_two_tensor = total_strain
index_i = 1
index_j = 1
[../]
[]
[GlobalParams]
derivative_order = 2
enable_jit = true
displacements = 'u_x u_y'
block = 0
[]
[Kernels]
[./TensorMechanics]
[../]
# Cahn-Hilliard kernels
[./c_dot]
type = CoupledTimeDerivative
variable = w
v = c
block = 0
[../]
[./c_res]
type = SplitCHParsed
variable = c
f_name = F
kappa_name = kappa_c
w = w
block = 0
[../]
[./w_res]
type = SplitCHWRes
variable = w
mob_name = M
block = 0
[../]
[]
[ScalarKernels]
[./global_strain]
type = GlobalStrain
variable = global_strain
global_strain_uo = global_strain_uo
[../]
[]
[BCs]
[./Periodic]
[./all]
auto_direction = 'x y'
variable = 'c w u_x u_y'
[../]
[../]
# fix center point location
[./centerfix_x]
type = DirichletBC
boundary = 100
variable = u_x
value = 0
[../]
[./centerfix_y]
type = DirichletBC
boundary = 100
variable = u_y
value = 0
[../]
[]
[Materials]
[./consts]
type = GenericConstantMaterial
prop_names = 'M kappa_c'
prop_values = '0.2 0.01 '
[../]
[./shear1]
type = GenericConstantRankTwoTensor
tensor_values = '0 0 0 0 0 0.5'
tensor_name = shear1
[../]
[./shear2]
type = GenericConstantRankTwoTensor
tensor_values = '0 0 0 0 0 -0.5'
tensor_name = shear2
[../]
[./expand3]
type = GenericConstantRankTwoTensor
tensor_values = '1 1 0 0 0 0'
tensor_name = expand3
[../]
[./weight1]
type = DerivativeParsedMaterial
expression = '0.3*c^2'
property_name = weight1
coupled_variables = c
[../]
[./weight2]
type = DerivativeParsedMaterial
expression = '0.3*(1-c)^2'
property_name = weight2
coupled_variables = c
[../]
[./weight3]
type = DerivativeParsedMaterial
expression = '4*(0.5-c)^2'
property_name = weight3
coupled_variables = c
[../]
[./elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '1 1'
fill_method = symmetric_isotropic
[../]
[./strain]
type = ComputeSmallStrain
global_strain = global_strain
eigenstrain_names = eigenstrain
[../]
[./eigenstrain]
type = CompositeEigenstrain
tensors = 'shear1 shear2 expand3'
weights = 'weight1 weight2 weight3'
args = c
eigenstrain_name = eigenstrain
[../]
[./global_strain]
type = ComputeGlobalStrain
scalar_global_strain = global_strain
global_strain_uo = global_strain_uo
[../]
[./stress]
type = ComputeLinearElasticStress
[../]
# chemical free energies
[./chemical_free_energy]
type = DerivativeParsedMaterial
property_name = Fc
expression = '4*c^2*(1-c)^2'
coupled_variables = 'c'
outputs = exodus
output_properties = Fc
[../]
# elastic free energies
[./elastic_free_energy]
type = ElasticEnergyMaterial
f_name = Fe
args = 'c'
outputs = exodus
output_properties = Fe
[../]
# free energy (chemical + elastic)
[./free_energy]
type = DerivativeSumMaterial
block = 0
property_name = F
sum_materials = 'Fc Fe'
coupled_variables = 'c'
[../]
[]
[UserObjects]
[./global_strain_uo]
type = GlobalStrainUserObject
execute_on = 'Initial Linear Nonlinear'
[../]
[]
[Postprocessors]
[./total_free_energy]
type = ElementIntegralVariablePostprocessor
execute_on = 'initial TIMESTEP_END'
variable = local_energy
[../]
[./total_solute]
type = ElementIntegralVariablePostprocessor
execute_on = 'initial TIMESTEP_END'
variable = c
[../]
[./min]
type = ElementExtremeValue
execute_on = 'initial TIMESTEP_END'
value_type = min
variable = c
[../]
[./max]
type = ElementExtremeValue
execute_on = 'initial TIMESTEP_END'
value_type = max
variable = c
[../]
[]
[Preconditioning]
[./SMP]
type = SMP
full = true
[../]
[]
[Executioner]
type = Transient
scheme = bdf2
solve_type = 'PJFNK'
line_search = basic
petsc_options_iname = '-pc_type -ksp_gmres_restart -sub_ksp_type -sub_pc_type -pc_asm_overlap'
petsc_options_value = 'asm 31 preonly lu 1'
l_max_its = 30
nl_max_its = 12
l_tol = 1.0e-4
nl_rel_tol = 1.0e-8
nl_abs_tol = 1.0e-10
start_time = 0.0
end_time = 2.0
[./TimeStepper]
type = IterationAdaptiveDT
dt = 0.01
growth_factor = 1.5
cutback_factor = 0.8
optimal_iterations = 9
iteration_window = 2
[../]
[]
[Outputs]
execute_on = 'timestep_end'
print_linear_residuals = false
exodus = true
[./table]
type = CSV
delimiter = ' '
[../]
[]