- coupled_variables
C++ Type:std::vector<VariableName>
Controllable:No
DerivativeSumMaterial
Meta-material to sum up multiple derivative materials
Description
This material generates new material properties that sum up the values and derivatives of a specified set of function materials. Using args argument the union of all sets of dependent variables has to be specified so that the DerivativeSumMaterial can gather the necessary derivatives to sum up.
Example usage
[./free_energy]
type = DerivativeSumMaterial
property_name = F_sum
sum_materials = 'Fa Fb Fb'
coupled_variables = 'c'
outputs = all
[../]
Input Parameters
- 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.
- derivative_order3Maximum order of derivatives taken (2 or 3)
Default:3
C++ Type:unsigned int
Controllable:No
Description:Maximum order of derivatives taken (2 or 3)
- displacement_gradientsVector of displacement gradient variables (see Modules/PhaseField/DisplacementGradients action)
C++ Type:std::vector<VariableName>
Controllable:No
Description:Vector of displacement gradient variables (see Modules/PhaseField/DisplacementGradients action)
- 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.
- property_nameFName of the parsed material property
Default:F
C++ Type:std::string
Controllable:No
Description:Name of the parsed material property
- sum_materialsBase name of the parsed sum material property
C++ Type:std::vector<std::string>
Controllable:No
Description:Base name of the parsed sum material property
- 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.
- validate_couplingTrueCheck if all variables the specified materials depend on are listed in the `coupled_variables` parameter.
Default:True
C++ Type:bool
Controllable:No
Description:Check if all variables the specified materials depend on are listed in the `coupled_variables` parameter.
Optional Parameters
- constant0Constant to be added to the prefactor multiplied sum.
Default:0
C++ Type:double
Controllable:No
Description:Constant to be added to the prefactor multiplied sum.
- 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
- prefactorPrefactor to multiply the sum term with.
C++ Type:std::vector<double>
Controllable:No
Description:Prefactor to multiply the sum term with.
- 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/phase_field_fracture/crack2d_aniso_cleavage_plane.i)
- (test/tests/materials/derivative_sum_material/random_ic.i)
- (modules/phase_field/examples/nucleation/cahn_hilliard.i)
- (modules/combined/examples/phase_field-mechanics/Pattern1.i)
- (modules/combined/test/tests/phase_field_fracture/crack2d_iso_with_pressure.i)
- (modules/combined/examples/phase_field-mechanics/LandauPhaseTrans.i)
- (modules/combined/test/tests/phase_field_fracture/crack2d_vi_solver.i)
- (test/tests/materials/derivative_sum_material/ad_random_ic.i)
- (test/tests/materials/derivative_material_interface/ad_construction_order.i)
- (modules/combined/examples/publications/rapid_dev/fig7a.i)
- (modules/combined/examples/publications/rapid_dev/fig8.i)
- (modules/combined/examples/periodic_strain/global_strain_pfm_3D.i)
- (modules/phase_field/examples/nucleation/refine.i)
- (test/tests/materials/derivative_material_interface/construction_order.i)
- (modules/combined/test/tests/DiffuseCreep/stress_based_chem_pot.i)
- (modules/combined/test/tests/phase_field_fracture/crack2d_vol_dev.i)
- (modules/combined/test/tests/surface_tension_KKS/surface_tension_VDWgas.i)
- (modules/combined/examples/mortar/eigenstrain.i)
- (modules/combined/test/tests/phase_field_fracture/crack2d_aniso_hist_false.i)
- (modules/combined/test/tests/surface_tension_KKS/surface_tension_KKS.i)
- (modules/combined/test/tests/phase_field_fracture/crack2d_iso_wo_time.i)
- (modules/combined/examples/phase_field-mechanics/Conserved.i)
- (modules/combined/examples/mortar/eigenstrain_action.i)
- (modules/combined/examples/phase_field-mechanics/kks_mechanics_VTS.i)
- (modules/combined/test/tests/phase_field_fracture/crack2d_no_split.i)
- (modules/combined/test/tests/phase_field_fracture/crack2d_linear_fracture_energy.i)
- (modules/combined/examples/publications/rapid_dev/fig7b.i)
- (modules/combined/test/tests/eigenstrain/variable_cahnhilliard.i)
- (modules/combined/test/tests/phase_field_fracture/crack2d_iso.i)
- (modules/combined/test/tests/phase_field_fracture/crack2d_aniso.i)
- (modules/combined/examples/periodic_strain/global_strain_pfm.i)
- (modules/combined/examples/phase_field-mechanics/SimplePhaseTrans.i)
- (modules/combined/test/tests/phase_field_fracture/void2d_iso.i)
(test/tests/materials/derivative_sum_material/random_ic.i)
[Mesh]
type = GeneratedMesh
dim = 2
nx = 10
ny = 10
xmax = 250
ymax = 250
elem_type = QUAD4
[]
[Variables]
[./c]
[./InitialCondition]
type = RandomIC
[../]
[../]
[]
[Kernels]
[./w_res]
type = Diffusion
variable = c
[../]
[./time]
type = TimeDerivative
variable = c
[../]
[]
[Materials]
[./free_energy1]
type = DerivativeParsedMaterial
property_name = Fa
coupled_variables = 'c'
expression = (c-0.1)^4*(1-0.1-c)^4
[../]
[./free_energy2]
type = DerivativeParsedMaterial
property_name = Fb
coupled_variables = 'c'
expression = -0.25*(c-0.1)^4*(1-0.1-c)^4
[../]
# Fa+Fb+Fb == Fc
[./free_energy3]
type = DerivativeParsedMaterial
property_name = Fc
coupled_variables = 'c'
expression = 0.5*(c-0.1)^4*(1-0.1-c)^4
outputs = all
[../]
[./dfree_energy3]
type = DerivativeParsedMaterial
property_name = dFc
coupled_variables = 'c'
material_property_names = 'F:=D[Fc,c]'
expression = F
outputs = all
[../]
[./d2free_energy3]
type = DerivativeParsedMaterial
property_name = d2Fc
coupled_variables = 'c'
material_property_names = 'F:=D[Fc,c,c]'
expression = F
outputs = all
[../]
[./free_energy]
type = DerivativeSumMaterial
property_name = F_sum
sum_materials = 'Fa Fb Fb'
coupled_variables = 'c'
outputs = all
[../]
[./dfree_energy]
type = DerivativeParsedMaterial
property_name = dF_sum
material_property_names = 'F:=D[F_sum,c]'
expression = F
coupled_variables = 'c'
outputs = all
[../]
[./d2free_energy]
type = DerivativeParsedMaterial
property_name = d2F_sum
material_property_names = 'F:=D[F_sum,c,c]'
expression = F
coupled_variables = 'c'
outputs = all
[../]
[]
[Executioner]
type = Transient
num_steps = 1
[]
[Postprocessors]
[./F_sum]
type = ElementAverageValue
variable = F_sum
[../]
[./F_check]
type = ElementAverageValue
variable = Fc
[../]
[./dF_sum]
type = ElementAverageValue
variable = dF_sum
[../]
[./dF_check]
type = ElementAverageValue
variable = dFc
[../]
[./d2F_sum]
type = ElementAverageValue
variable = d2F_sum
[../]
[./d2F_check]
type = ElementAverageValue
variable = d2Fc
[../]
[]
[Outputs]
exodus = true
[]
(modules/combined/test/tests/phase_field_fracture/crack2d_aniso_cleavage_plane.i)
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 2
nx = 40
ny = 20
ymax = 0.5
[]
[./noncrack]
type = BoundingBoxNodeSetGenerator
new_boundary = noncrack
bottom_left = '0.5 0 0'
top_right = '1 0 0'
input = gen
[../]
[]
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Variables]
[./c]
family = LAGRANGE
order = FIRST
[../]
[]
[Modules]
[./TensorMechanics]
[./Master]
[./All]
add_variables = true
strain = SMALL
additional_generate_output = 'strain_yy stress_yy'
planar_formulation = PLANE_STRAIN
[../]
[../]
[../]
[]
[Kernels]
[./ACbulk]
type = AllenCahn
variable = c
f_name = F
[../]
[./ACInterfaceCleavageFracture]
type = ACInterfaceCleavageFracture
variable = c
beta_penalty = 1
cleavage_plane_normal = '-0.707 0.707 0.0'
[../]
[./dcdt]
type = TimeDerivative
variable = c
[../]
[./solid_x]
type = PhaseFieldFractureMechanicsOffDiag
variable = disp_x
component = 0
c = c
[../]
[./solid_y]
type = PhaseFieldFractureMechanicsOffDiag
variable = disp_y
component = 1
c = c
[../]
[./off_disp]
type = AllenCahnElasticEnergyOffDiag
variable = c
displacements = 'disp_x disp_y'
mob_name = L
[../]
[]
[BCs]
[./ydisp]
type = FunctionDirichletBC
preset = true
variable = disp_y
boundary = top
function = 't'
[../]
[./yfix]
type = DirichletBC
preset = true
variable = disp_y
boundary = noncrack
value = 0
[../]
[./xfix]
type = DirichletBC
preset = true
variable = disp_x
boundary = right
value = 0
[../]
[]
[Materials]
[./pfbulkmat]
type = GenericConstantMaterial
prop_names = 'gc_prop l visco'
prop_values = '1e-3 0.05 1e-6'
[../]
[./elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '127.0 70.8 70.8 127.0 70.8 127.0 73.55 73.55 73.55'
fill_method = symmetric9
euler_angle_1 = 30
euler_angle_2 = 0
euler_angle_3 = 0
[../]
[./define_mobility]
type = ParsedMaterial
material_property_names = 'gc_prop visco'
property_name = L
expression = '1.0/(gc_prop * visco)'
[../]
[./define_kappa]
type = ParsedMaterial
material_property_names = 'gc_prop l'
property_name = kappa_op
expression = 'gc_prop * l'
[../]
[./damage_stress]
type = ComputeLinearElasticPFFractureStress
c = c
E_name = 'elastic_energy'
D_name = 'degradation'
F_name = 'local_fracture_energy'
decomposition_type = stress_spectral
[../]
[./degradation]
type = DerivativeParsedMaterial
property_name = degradation
coupled_variables = 'c'
expression = '(1.0-c)^2*(1.0 - eta) + eta'
constant_names = 'eta'
constant_expressions = '1.0e-6'
derivative_order = 2
[../]
[./local_fracture_energy]
type = DerivativeParsedMaterial
property_name = local_fracture_energy
coupled_variables = 'c'
material_property_names = 'gc_prop l'
expression = 'c^2 * gc_prop / 2 / l'
derivative_order = 2
[../]
[./fracture_driving_energy]
type = DerivativeSumMaterial
coupled_variables = c
sum_materials = 'elastic_energy local_fracture_energy'
derivative_order = 2
property_name = F
[../]
[]
[Postprocessors]
[./av_stress_yy]
type = ElementAverageValue
variable = stress_yy
[../]
[./av_strain_yy]
type = SideAverageValue
variable = disp_y
boundary = top
[../]
[]
[Preconditioning]
[./smp]
type = SMP
full = true
[../]
[]
[Executioner]
type = Transient
solve_type = PJFNK
petsc_options_iname = '-pc_type -pc_factor_mat_solving_package'
petsc_options_value = 'lu superlu_dist'
nl_rel_tol = 1e-8
l_tol = 1e-4
l_max_its = 100
nl_max_its = 10
dt = 5e-5
num_steps = 5
[]
[Outputs]
exodus = true
[]
(test/tests/materials/derivative_sum_material/random_ic.i)
[Mesh]
type = GeneratedMesh
dim = 2
nx = 10
ny = 10
xmax = 250
ymax = 250
elem_type = QUAD4
[]
[Variables]
[./c]
[./InitialCondition]
type = RandomIC
[../]
[../]
[]
[Kernels]
[./w_res]
type = Diffusion
variable = c
[../]
[./time]
type = TimeDerivative
variable = c
[../]
[]
[Materials]
[./free_energy1]
type = DerivativeParsedMaterial
property_name = Fa
coupled_variables = 'c'
expression = (c-0.1)^4*(1-0.1-c)^4
[../]
[./free_energy2]
type = DerivativeParsedMaterial
property_name = Fb
coupled_variables = 'c'
expression = -0.25*(c-0.1)^4*(1-0.1-c)^4
[../]
# Fa+Fb+Fb == Fc
[./free_energy3]
type = DerivativeParsedMaterial
property_name = Fc
coupled_variables = 'c'
expression = 0.5*(c-0.1)^4*(1-0.1-c)^4
outputs = all
[../]
[./dfree_energy3]
type = DerivativeParsedMaterial
property_name = dFc
coupled_variables = 'c'
material_property_names = 'F:=D[Fc,c]'
expression = F
outputs = all
[../]
[./d2free_energy3]
type = DerivativeParsedMaterial
property_name = d2Fc
coupled_variables = 'c'
material_property_names = 'F:=D[Fc,c,c]'
expression = F
outputs = all
[../]
[./free_energy]
type = DerivativeSumMaterial
property_name = F_sum
sum_materials = 'Fa Fb Fb'
coupled_variables = 'c'
outputs = all
[../]
[./dfree_energy]
type = DerivativeParsedMaterial
property_name = dF_sum
material_property_names = 'F:=D[F_sum,c]'
expression = F
coupled_variables = 'c'
outputs = all
[../]
[./d2free_energy]
type = DerivativeParsedMaterial
property_name = d2F_sum
material_property_names = 'F:=D[F_sum,c,c]'
expression = F
coupled_variables = 'c'
outputs = all
[../]
[]
[Executioner]
type = Transient
num_steps = 1
[]
[Postprocessors]
[./F_sum]
type = ElementAverageValue
variable = F_sum
[../]
[./F_check]
type = ElementAverageValue
variable = Fc
[../]
[./dF_sum]
type = ElementAverageValue
variable = dF_sum
[../]
[./dF_check]
type = ElementAverageValue
variable = dFc
[../]
[./d2F_sum]
type = ElementAverageValue
variable = d2F_sum
[../]
[./d2F_check]
type = ElementAverageValue
variable = d2Fc
[../]
[]
[Outputs]
exodus = true
[]
(modules/phase_field/examples/nucleation/cahn_hilliard.i)
#
# Test the DiscreteNucleation material in a toy system. The global
# concentration is above the solubility limit, but below the spinodal.
# Without further intervention no nucleation will occur in a phase
# field model. The DiscreteNucleation material will locally modify the
# free energy to coerce nuclei to grow.
#
[Mesh]
type = GeneratedMesh
dim = 2
nx = 120
ny = 120
xmax = 500
ymax = 500
elem_type = QUAD
[]
[Modules]
[./PhaseField]
[./Conserved]
[./c]
free_energy = F
mobility = M
kappa = kappa_c
solve_type = REVERSE_SPLIT
[../]
[../]
[../]
[]
[ICs]
[./c_IC]
type = RandomIC
variable = c
min = 0.2
max = 0.21
[../]
[]
[Materials]
[./pfmobility]
type = GenericConstantMaterial
prop_names = 'M kappa_c'
prop_values = '1 25'
[../]
[./chemical_free_energy]
# simple double well free energy
type = DerivativeParsedMaterial
property_name = Fc
coupled_variables = 'c'
constant_names = 'barr_height cv_eq'
constant_expressions = '0.1 0'
expression = 16*barr_height*c^2*(1-c)^2 # +0.01*(c*plog(c,0.005)+(1-c)*plog(1-c,0.005))
derivative_order = 2
outputs = exodus
[../]
[./probability]
# This is a made up toy nucleation rate it should be replaced by
# classical nucleation theory in a real simulation.
type = ParsedMaterial
property_name = P
coupled_variables = c
expression = c*1e-7
outputs = exodus
[../]
[./nucleation]
# The nucleation material is configured to insert nuclei into the free energy
# tht force the concentration to go to 0.95, and holds this enforcement for 500
# time units.
type = DiscreteNucleation
property_name = Fn
op_names = c
op_values = 0.90
penalty = 5
penalty_mode = MIN
map = map
outputs = exodus
[../]
[./free_energy]
# add the chemical and nucleation free energy contributions together
type = DerivativeSumMaterial
derivative_order = 2
coupled_variables = c
sum_materials = 'Fc Fn'
[../]
[]
[UserObjects]
[./inserter]
# The inserter runs at the end of each time step to add nucleation events
# that happend during the timestep (if it converged) to the list of nuclei
type = DiscreteNucleationInserter
hold_time = 100
probability = P
radius = 10
[../]
[./map]
# The map UO runs at the beginning of a timestep and generates a per-element/qp
# map of nucleus locations. The map is only regenerated if the mesh changed or
# the list of nuclei was modified.
# The map converts the nucleation points into finite area objects with a given radius.
type = DiscreteNucleationMap
periodic = c
inserter = inserter
[../]
[]
[Preconditioning]
[./SMP]
type = SMP
full = true
[../]
[]
[BCs]
[./Periodic]
[./all]
auto_direction = 'x y'
[../]
[../]
[]
[Postprocessors]
[./dt]
type = TimestepSize
[../]
[]
[Executioner]
type = Transient
scheme = bdf2
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -sub_pc_type'
petsc_options_value = 'asm lu '
nl_max_its = 20
l_tol = 1.0e-4
nl_rel_tol = 1.0e-10
nl_abs_tol = 1.0e-10
start_time = 0.0
num_steps = 1200
[./TimeStepper]
type = IterationAdaptiveDT
dt = 10
growth_factor = 1.5
cutback_factor = 0.5
optimal_iterations = 5
[../]
[]
[Outputs]
exodus = true
[]
(modules/combined/examples/phase_field-mechanics/Pattern1.i)
#
# Pattern example 1
#
# Phase changes driven by a combination mechanical (elastic) and chemical
# driving forces. In this three phase system a matrix phase, an oversized and
# an undersized precipitate phase compete. The chemical free energy favors a
# phase separation into either precipitate phase. A mix of both precipitate
# emerges to balance lattice expansion and contraction.
#
# This example demonstrates the use of
# * ACMultiInterface
# * SwitchingFunctionConstraintEta and SwitchingFunctionConstraintLagrange
# * DerivativeParsedMaterial
# * ElasticEnergyMaterial
# * DerivativeMultiPhaseMaterial
# * MultiPhaseStressMaterial
# which are the components to se up a phase field model with an arbitrary number
# of phases
#
[Mesh]
type = GeneratedMesh
dim = 2
nx = 80
ny = 80
nz = 0
xmin = -20
xmax = 20
ymin = -20
ymax = 20
zmin = 0
zmax = 0
elem_type = QUAD4
[]
[GlobalParams]
# CahnHilliard needs the third derivatives
derivative_order = 3
enable_jit = true
displacements = 'disp_x disp_y'
[]
# 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
[../]
[./cross_terms]
type = CrossTermGradientFreeEnergy
variable = cross_energy
interfacial_vars = 'eta1 eta2 eta3'
kappa_names = 'kappa11 kappa12 kappa13
kappa21 kappa22 kappa23
kappa31 kappa32 kappa33'
[../]
[]
[Variables]
# Solute concentration variable
[./c]
order = FIRST
family = LAGRANGE
[./InitialCondition]
type = RandomIC
min = 0
max = 0.8
seed = 1235
[../]
[../]
# Order parameter for the Matrix
[./eta1]
order = FIRST
family = LAGRANGE
initial_condition = 0.5
[../]
# Order parameters for the 2 different inclusion orientations
[./eta2]
order = FIRST
family = LAGRANGE
initial_condition = 0.1
[../]
[./eta3]
order = FIRST
family = LAGRANGE
initial_condition = 0.1
[../]
# Mesh displacement
[./disp_x]
order = FIRST
family = LAGRANGE
[../]
[./disp_y]
order = FIRST
family = LAGRANGE
[../]
# Lagrange-multiplier
[./lambda]
order = FIRST
family = LAGRANGE
initial_condition = 1.0
[../]
[]
[Kernels]
# Set up stress divergence kernels
[./TensorMechanics]
[../]
# Cahn-Hilliard kernels
[./c_res]
type = CahnHilliard
variable = c
f_name = F
args = 'eta1 eta2 eta3'
[../]
[./time]
type = TimeDerivative
variable = 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
prop_names = 'M kappa_c L1 L2 L3 kappa11 kappa12 kappa13 kappa21 kappa22 kappa23 kappa31 kappa32 kappa33'
prop_values = '0.2 0 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
[../]
# matrix phase
[./elasticity_tensor_1]
type = ComputeElasticityTensor
base_name = phase1
C_ijkl = '3 3'
fill_method = symmetric_isotropic
[../]
[./strain_1]
type = ComputeSmallStrain
base_name = phase1
displacements = 'disp_x disp_y'
[../]
[./stress_1]
type = ComputeLinearElasticStress
base_name = phase1
[../]
# oversized phase
[./elasticity_tensor_2]
type = ComputeElasticityTensor
base_name = phase2
C_ijkl = '7 7'
fill_method = symmetric_isotropic
[../]
[./strain_2]
type = ComputeSmallStrain
base_name = phase2
displacements = 'disp_x disp_y'
eigenstrain_names = eigenstrain
[../]
[./stress_2]
type = ComputeLinearElasticStress
base_name = phase2
[../]
[./eigenstrain_2]
type = ComputeEigenstrain
base_name = phase2
eigen_base = '0.02'
eigenstrain_name = eigenstrain
[../]
# undersized phase
[./elasticity_tensor_3]
type = ComputeElasticityTensor
base_name = phase3
C_ijkl = '7 7'
fill_method = symmetric_isotropic
[../]
[./strain_3]
type = ComputeSmallStrain
base_name = phase3
displacements = 'disp_x disp_y'
eigenstrain_names = eigenstrain
[../]
[./stress_3]
type = ComputeLinearElasticStress
base_name = phase3
[../]
[./eigenstrain_3]
type = ComputeEigenstrain
base_name = phase3
eigen_base = '-0.05'
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
[../]
# elastic free energies
[./elastic_free_energy_1]
type = ElasticEnergyMaterial
base_name = phase1
f_name = Fe1
derivative_order = 2
args = 'c' # should be empty
[../]
[./elastic_free_energy_2]
type = ElasticEnergyMaterial
base_name = phase2
f_name = Fe2
derivative_order = 2
args = 'c' # should be empty
[../]
[./elastic_free_energy_3]
type = ElasticEnergyMaterial
base_name = phase3
f_name = Fe3
derivative_order = 2
args = 'c' # should be empty
[../]
# phase free energies (chemical + elastic)
[./phase_free_energy_1]
type = DerivativeSumMaterial
property_name = F1
sum_materials = 'Fc1 Fe1'
coupled_variables = 'c'
derivative_order = 2
[../]
[./phase_free_energy_2]
type = DerivativeSumMaterial
property_name = F2
sum_materials = 'Fc2 Fe2'
coupled_variables = 'c'
derivative_order = 2
[../]
[./phase_free_energy_3]
type = DerivativeSumMaterial
property_name = F3
sum_materials = 'Fc3 Fe3'
coupled_variables = 'c'
derivative_order = 2
[../]
# global free energy
[./free_energy]
type = DerivativeMultiPhaseMaterial
f_name = F
fi_names = 'F1 F2 F3'
hi_names = 'h1 h2 h3'
etas = 'eta1 eta2 eta3'
coupled_variables = 'c'
W = 3
[../]
# Generate the global stress from the phase stresses
[./global_stress]
type = MultiPhaseStressMaterial
phase_base = 'phase1 phase2 phase3'
h = 'h1 h2 h3'
[../]
[]
[BCs]
# the boundary conditions on the displacement enforce periodicity
# at zero total shear and constant volume
[./bottom_y]
type = DirichletBC
variable = disp_y
boundary = 'bottom'
value = 0
[../]
[./top_y]
type = DirichletBC
variable = disp_y
boundary = 'top'
value = 0
[../]
[./left_x]
type = DirichletBC
variable = disp_x
boundary = 'left'
value = 0
[../]
[./right_x]
type = DirichletBC
variable = disp_x
boundary = 'right'
value = 0
[../]
[./Periodic]
[./disp_x]
auto_direction = 'y'
[../]
[./disp_y]
auto_direction = 'x'
[../]
# all other phase field variables are fully periodic
[./c]
auto_direction = 'x y'
[../]
[./eta1]
auto_direction = 'x y'
[../]
[./eta2]
auto_direction = 'x y'
[../]
[./eta3]
auto_direction = 'x y'
[../]
[./lambda]
auto_direction = 'x y'
[../]
[../]
[]
[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
[../]
[./total_solute]
type = ElementIntegralVariablePostprocessor
variable = c
[../]
[]
[Executioner]
type = Transient
scheme = bdf2
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -sub_pc_type'
petsc_options_value = 'asm ilu'
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
num_steps = 200
[./TimeStepper]
type = SolutionTimeAdaptiveDT
dt = 0.1
[../]
[]
[Outputs]
execute_on = 'timestep_end'
exodus = true
[./table]
type = CSV
delimiter = ' '
[../]
[]
[Debug]
# show_var_residual_norms = true
[]
(modules/combined/test/tests/phase_field_fracture/crack2d_iso_with_pressure.i)
#This input uses PhaseField-Nonconserved Action to add phase field fracture bulk rate kernels
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 2
nx = 20
ny = 10
ymax = 0.5
[]
[./noncrack]
type = BoundingBoxNodeSetGenerator
new_boundary = noncrack
bottom_left = '0.5 0 0'
top_right = '1 0 0'
input = gen
[../]
[]
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Modules]
[./PhaseField]
[./Nonconserved]
[./c]
free_energy = F
kappa = kappa_op
mobility = L
[../]
[../]
[../]
[./TensorMechanics]
[./Master]
[./mech]
add_variables = true
strain = SMALL
additional_generate_output = 'stress_yy'
save_in = 'resid_x resid_y'
[../]
[../]
[../]
[]
[AuxVariables]
[./resid_x]
[../]
[./resid_y]
[../]
[]
[Kernels]
[./solid_x]
type = PhaseFieldFractureMechanicsOffDiag
variable = disp_x
component = 0
c = c
[../]
[./solid_y]
type = PhaseFieldFractureMechanicsOffDiag
variable = disp_y
component = 1
c = c
[../]
[]
[BCs]
[./ydisp]
type = FunctionDirichletBC
variable = disp_y
boundary = top
function = 't'
[../]
[./yfix]
type = DirichletBC
variable = disp_y
boundary = noncrack
value = 0
[../]
[./xfix]
type = DirichletBC
variable = disp_x
boundary = top
value = 0
[../]
[]
[Materials]
[./pfbulkmat]
type = GenericConstantMaterial
prop_names = 'gc_prop l visco fracture_pressure'
prop_values = '1e-3 0.04 1e-4 1e-3'
[../]
[./define_mobility]
type = ParsedMaterial
material_property_names = 'gc_prop visco'
property_name = L
expression = '1.0/(gc_prop * visco)'
[../]
[./define_kappa]
type = ParsedMaterial
material_property_names = 'gc_prop l'
property_name = kappa_op
expression = 'gc_prop * l'
[../]
[./elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '120.0 80.0'
fill_method = symmetric_isotropic
[../]
[./damage_stress]
type = ComputeLinearElasticPFFractureStress
c = c
E_name = 'elastic_energy'
D_name = 'degradation'
I_name = 'indicator_function'
F_name = 'local_fracture_energy'
decomposition_type = strain_spectral
[../]
[./degradation]
type = DerivativeParsedMaterial
property_name = degradation
coupled_variables = 'c'
expression = '(1.0-c)^2*(1.0 - eta) + eta'
constant_names = 'eta'
constant_expressions = '0.0'
derivative_order = 2
[../]
[./indicator_function]
type = DerivativeParsedMaterial
property_name = indicator_function
coupled_variables = 'c'
expression = 'c'
derivative_order = 2
[../]
[./local_fracture_energy]
type = DerivativeParsedMaterial
property_name = local_fracture_energy
coupled_variables = 'c'
material_property_names = 'gc_prop l'
expression = 'c^2 * gc_prop / 2 / l'
derivative_order = 2
[../]
[./fracture_driving_energy]
type = DerivativeSumMaterial
coupled_variables = c
sum_materials = 'elastic_energy local_fracture_energy'
derivative_order = 2
property_name = F
[../]
[]
[Postprocessors]
[./resid_x]
type = NodalSum
variable = resid_x
boundary = 2
[../]
[./resid_y]
type = NodalSum
variable = resid_y
boundary = 2
[../]
[]
[Preconditioning]
[./smp]
type = SMP
full = true
[../]
[]
[Executioner]
type = Transient
solve_type = PJFNK
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'
nl_rel_tol = 1e-8
l_max_its = 10
nl_max_its = 10
dt = 1e-4
dtmin = 1e-4
num_steps = 2
[]
[Outputs]
exodus = true
[]
(modules/combined/examples/phase_field-mechanics/LandauPhaseTrans.i)
#
# Martensitic transformation
# Chemical driving force described by Landau Polynomial
# Coupled with elasticity (Mechanics)
#
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Mesh]
type = GeneratedMesh
dim = 2
nx = 100
ny = 100
xmin = 0
xmax = 100
ymin = 0
ymax = 100
elem_type = QUAD4
[]
[Variables]
[./eta1]
[./InitialCondition]
type = RandomIC
min = 0
max = 0.1
[../]
[../]
[./eta2]
[./InitialCondition]
type = RandomIC
min = 0
max = 0.1
[../]
[../]
[]
[Modules/TensorMechanics/Master]
[./all]
add_variables = true
generate_output = 'stress_xx stress_yy'
eigenstrain_names = 'eigenstrain1 eigenstrain2'
[../]
[]
[Kernels]
[./eta_bulk1]
type = AllenCahn
variable = eta1
args = 'eta2'
f_name = F
[../]
[./eta_bulk2]
type = AllenCahn
variable = eta2
args = 'eta1'
f_name = F
[../]
[./eta_interface1]
type = ACInterface
variable = eta1
kappa_name = kappa_eta
[../]
[./eta_interface2]
type = ACInterface
variable = eta2
kappa_name = kappa_eta
[../]
[./deta1dt]
type = TimeDerivative
variable = eta1
[../]
[./deta2dt]
type = TimeDerivative
variable = eta2
[../]
[]
[Materials]
[./consts]
type = GenericConstantMaterial
prop_names = 'L kappa_eta'
prop_values = '1 1'
[../]
[./chemical_free_energy]
type = DerivativeParsedMaterial
property_name = Fc
coupled_variables = 'eta1 eta2'
constant_names = 'A2 A3 A4'
constant_expressions = '0.2 -12.6 12.4'
expression = 'A2/2*(eta1^2+eta2^2) + A3/3*(eta1^3+eta2^3) + A4/4*(eta1^2+eta2^2)^2'
enable_jit = true
derivative_order = 2
[../]
[./elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '700 300 300 700 300 700 300 300 300'
fill_method = symmetric9
[../]
[./stress]
type = ComputeLinearElasticStress
[../]
[./var_dependence1]
type = DerivativeParsedMaterial
property_name = var_dep1
coupled_variables = 'eta1'
expression = eta1
enable_jit = true
derivative_order = 2
[../]
[./var_dependence2]
type = DerivativeParsedMaterial
property_name = var_dep2
coupled_variables = 'eta2'
expression = eta2
enable_jit = true
derivative_order = 2
[../]
[./eigenstrain1]
type = ComputeVariableEigenstrain
eigen_base = '0.1 -0.1 0 0 0 0'
prefactor = var_dep1
args = 'eta1'
eigenstrain_name = eigenstrain1
[../]
[./eigenstrain2]
type = ComputeVariableEigenstrain
eigen_base = '-0.1 0.1 0 0 0 0'
prefactor = var_dep2
args = 'eta2'
eigenstrain_name = eigenstrain2
[../]
[./elastic_free_energy]
type = ElasticEnergyMaterial
f_name = Fe
args = 'eta1 eta2'
derivative_order = 2
[../]
[./totol_free_energy]
type = DerivativeSumMaterial
property_name = F
sum_materials = 'Fc Fe'
coupled_variables = 'eta1 eta2'
derivative_order = 2
[../]
[]
[BCs]
[./all_y]
type = DirichletBC
variable = disp_y
boundary = 'top bottom left right'
value = 0
[../]
[./all_x]
type = DirichletBC
variable = disp_x
boundary = 'top bottom left right'
value = 0
[../]
[]
[Preconditioning]
# active = ' '
[./SMP]
type = SMP
full = true
[../]
[]
[Executioner]
type = Transient
scheme = bdf2
# this gives best performance on 4 cores
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
num_steps = 10
[./TimeStepper]
type = IterationAdaptiveDT
optimal_iterations = 9
iteration_window = 2
growth_factor = 1.1
cutback_factor = 0.75
dt = 0.3
[../]
[]
[Outputs]
execute_on = 'timestep_end'
exodus = true
[]
(modules/combined/test/tests/phase_field_fracture/crack2d_vi_solver.i)
#This input uses PhaseField-Nonconserved Action to add phase field fracture bulk rate kernels
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 2
nx = 20
ny = 20
xmax = 1
ymax = 1
[]
[]
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Modules]
[./PhaseField]
[./Nonconserved]
[./c]
free_energy = F
kappa = kappa_op
mobility = L
[../]
[../]
[../]
[./TensorMechanics]
[./Master]
[./mech]
add_variables = true
strain = SMALL
additional_generate_output = 'stress_yy'
save_in = 'resid_x resid_y'
[../]
[../]
[../]
[]
[ICs]
[./c_ic]
type = FunctionIC
function = ic
variable = c
[../]
[]
[Functions]
[./ic]
type = ParsedFunction
expression = 'if(x<0.5 & y < 0.55 & y > 0.45,1, 0)'
[../]
[]
[AuxVariables]
[./resid_x]
[../]
[./resid_y]
[../]
[./bounds_dummy]
order = FIRST
family = LAGRANGE
[../]
[]
[Kernels]
[./solid_x]
type = PhaseFieldFractureMechanicsOffDiag
variable = disp_x
component = 0
c = c
[../]
[./solid_y]
type = PhaseFieldFractureMechanicsOffDiag
variable = disp_y
component = 1
c = c
[../]
[]
[BCs]
[./ydisp]
type = FunctionDirichletBC
variable = disp_y
boundary = top
function = 't'
[../]
[./yfix]
type = DirichletBC
variable = disp_y
boundary = bottom
value = 0
[../]
[./xfix]
type = DirichletBC
variable = disp_x
boundary = 'top bottom'
value = 0
[../]
[]
[Materials]
[./pfbulkmat]
type = GenericConstantMaterial
prop_names = 'gc_prop l visco'
prop_values = '1e-3 0.04 1e-4'
[../]
[./define_mobility]
type = ParsedMaterial
material_property_names = 'gc_prop visco'
property_name = L
expression = '1.0/(gc_prop * visco)'
[../]
[./define_kappa]
type = ParsedMaterial
material_property_names = 'gc_prop l'
property_name = kappa_op
expression = 'gc_prop * l'
[../]
[./elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '120.0 80.0'
fill_method = symmetric_isotropic
[../]
[./damage_stress]
type = ComputeLinearElasticPFFractureStress
c = c
E_name = 'elastic_energy'
D_name = 'degradation'
F_name = 'local_fracture_energy'
decomposition_type = strain_spectral
use_snes_vi_solver = true
[../]
[./degradation]
type = DerivativeParsedMaterial
property_name = degradation
coupled_variables = 'c'
expression = '(1.0-c)^2*(1.0 - eta) + eta'
constant_names = 'eta'
constant_expressions = '0.0'
derivative_order = 2
[../]
[./local_fracture_energy]
type = DerivativeParsedMaterial
property_name = local_fracture_energy
coupled_variables = 'c'
material_property_names = 'gc_prop l'
expression = 'c^2 * gc_prop / 2 / l'
derivative_order = 2
[../]
[./fracture_driving_energy]
type = DerivativeSumMaterial
coupled_variables = c
sum_materials = 'elastic_energy local_fracture_energy'
derivative_order = 2
property_name = F
[../]
[]
[Postprocessors]
[./resid_x]
type = NodalSum
variable = resid_x
boundary = 2
[../]
[./resid_y]
type = NodalSum
variable = resid_y
boundary = 2
[../]
[]
[Preconditioning]
[./smp]
type = SMP
full = true
[../]
[]
[Bounds]
[./c_upper_bound]
type = ConstantBounds
variable = bounds_dummy
bounded_variable = c
bound_type = upper
bound_value = 1.0
[../]
[./c_lower_bound]
type = VariableOldValueBounds
variable = bounds_dummy
bounded_variable = c
bound_type = lower
[../]
[]
[Executioner]
type = Transient
solve_type = PJFNK
petsc_options_iname = '-pc_type -snes_type'
petsc_options_value = 'lu vinewtonrsls'
nl_rel_tol = 1e-8
l_max_its = 10
nl_max_its = 10
dt = 1e-4
dtmin = 1e-4
num_steps = 2
[]
[Outputs]
exodus = true
[]
(test/tests/materials/derivative_sum_material/ad_random_ic.i)
[Mesh]
type = GeneratedMesh
dim = 2
nx = 10
ny = 10
xmax = 250
ymax = 250
elem_type = QUAD4
[]
[Variables]
[./c]
[./InitialCondition]
type = RandomIC
[../]
[../]
[]
[Kernels]
[./w_res]
type = ADDiffusion
variable = c
[../]
[./time]
type = ADTimeDerivative
variable = c
[../]
[]
[Materials]
[./free_energy1]
type = ADDerivativeParsedMaterial
property_name = Fa
coupled_variables = 'c'
expression = (c-0.1)^4*(1-0.1-c)^4
[../]
[./free_energy2]
type = ADDerivativeParsedMaterial
property_name = Fb
coupled_variables = 'c'
expression = -0.25*(c-0.1)^4*(1-0.1-c)^4
[../]
# Fa+Fb+Fb == Fc
[./free_energy3]
type = ADDerivativeParsedMaterial
property_name = Fc
coupled_variables = 'c'
expression = 0.5*(c-0.1)^4*(1-0.1-c)^4
outputs = all
[../]
[./dfree_energy3]
type = ADDerivativeParsedMaterial
property_name = dFc
coupled_variables = 'c'
material_property_names = 'F:=D[Fc,c]'
expression = F
outputs = all
[../]
[./d2free_energy3]
type = ADDerivativeParsedMaterial
property_name = d2Fc
coupled_variables = 'c'
material_property_names = 'F:=D[Fc,c,c]'
expression = F
outputs = all
[../]
[./free_energy]
type = ADDerivativeSumMaterial
property_name = F_sum
sum_materials = 'Fa Fb Fb'
coupled_variables = 'c'
outputs = all
[../]
[./dfree_energy]
type = ADDerivativeParsedMaterial
property_name = dF_sum
material_property_names = 'F:=D[F_sum,c]'
expression = F
coupled_variables = 'c'
outputs = all
[../]
[./d2free_energy]
type = ADDerivativeParsedMaterial
property_name = d2F_sum
material_property_names = 'F:=D[F_sum,c,c]'
expression = F
coupled_variables = 'c'
outputs = all
[../]
[]
[Executioner]
type = Transient
num_steps = 1
[]
[Postprocessors]
[./F_sum]
type = ElementAverageValue
variable = F_sum
[../]
[./F_check]
type = ElementAverageValue
variable = Fc
[../]
[./dF_sum]
type = ElementAverageValue
variable = dF_sum
[../]
[./dF_check]
type = ElementAverageValue
variable = dFc
[../]
[./d2F_sum]
type = ElementAverageValue
variable = d2F_sum
[../]
[./d2F_check]
type = ElementAverageValue
variable = d2Fc
[../]
[]
[Outputs]
exodus = true
[]
(test/tests/materials/derivative_material_interface/ad_construction_order.i)
#
# Test the the getDefaultMaterialProperty in DerivativeMaterialInterface.
# This test should only pass, if the construction order of the Materials
# using this interface does not influence the outcome.
#
[Mesh]
type = GeneratedMesh
dim = 2
nx = 5
ny = 1
xmin = 0
xmax = 1
ymin = 0
ymax = 0.1
elem_type = QUAD4
[]
[GlobalParams]
derivative_order = 2
[]
[Variables]
[./c]
[./InitialCondition]
type = FunctionIC
function = x
[../]
[../]
[]
[Kernels]
[./dummy1]
type = ADDiffusion
variable = c
[../]
[./dummy2]
type = ADTimeDerivative
variable = c
[../]
[]
[Materials]
# derivatives used both before and after being declared
[./sum_a_1]
type = ADDerivativeSumMaterial
property_name = Fa1
sum_materials = 'Fa'
coupled_variables = 'c'
outputs = exodus
[../]
[./free_energy_a]
type = ADDerivativeParsedMaterial
property_name = Fa
coupled_variables = 'c'
expression = 'c^4'
[../]
[./sum_a_2]
type = ADDerivativeSumMaterial
property_name = Fa2
sum_materials = 'Fa'
coupled_variables = 'c'
outputs = exodus
[../]
# derivatives declared after being used
[./sum_b_1]
type = ADDerivativeSumMaterial
property_name = Fb1
sum_materials = 'Fb'
coupled_variables = 'c'
outputs = exodus
[../]
[./free_energy_b]
type = ADDerivativeParsedMaterial
property_name = Fb
coupled_variables = 'c'
expression = 'c^4'
[../]
# derivatives declared before being used
[./free_energy_c]
type = ADDerivativeParsedMaterial
property_name = Fc
coupled_variables = 'c'
expression = 'c^4'
[../]
[./sum_c_2]
type = ADDerivativeSumMaterial
property_name = Fc2
sum_materials = 'Fc'
coupled_variables = 'c'
outputs = exodus
[../]
# non-existing derivatives
[./free_energy_d]
type = ADParsedMaterial
property_name = Fd
coupled_variables = 'c'
expression = 'c^4'
[../]
[./sum_d_1]
type = ADDerivativeSumMaterial
property_name = Fd1
sum_materials = 'Fd'
coupled_variables = 'c'
outputs = exodus
[../]
[]
[Executioner]
type = Transient
scheme = bdf2
solve_type = 'NEWTON'
num_steps = 1
dt = 1e-5
[]
[Outputs]
execute_on = 'timestep_end'
exodus = true
[]
(modules/combined/examples/publications/rapid_dev/fig7a.i)
#
# Fig. 7 input for 10.1016/j.commatsci.2017.02.017
# D. Schwen et al./Computational Materials Science 132 (2017) 36-45
# Solid gray curve (1)
# Eigenstrain and elastic energies ar computed per phase and then interpolated.
# Supply the RADIUS parameter (10-35) on the command line to generate data
# for all curves in the plot.
#
[Mesh]
type = GeneratedMesh
dim = 1
nx = 32
xmin = 0
xmax = 100
second_order = true
[]
[Problem]
coord_type = RSPHERICAL
[]
[GlobalParams]
displacements = 'disp_r'
[]
[Functions]
[./diff]
type = ParsedFunction
expression = '${RADIUS}-pos_c'
symbol_names = pos_c
symbol_values = pos_c
[../]
[]
# 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'
execute_on = 'INITIAL TIMESTEP_END'
[../]
[]
[Variables]
# Solute concentration variable
[./c]
[./InitialCondition]
type = SmoothCircleIC
invalue = 1
outvalue = 0
x1 = 0
y1 = 0
radius = ${RADIUS}
int_width = 3
[../]
[../]
[./w]
[../]
# Phase order parameter
[./eta]
[./InitialCondition]
type = SmoothCircleIC
invalue = 1
outvalue = 0
x1 = 0
y1 = 0
radius = ${RADIUS}
int_width = 3
[../]
[../]
# Mesh displacement
[./disp_r]
order = SECOND
[../]
[./Fe_fit]
order = SECOND
[../]
[]
[Kernels]
# Set up stress divergence kernels
[./TensorMechanics]
[../]
# Split Cahn-Hilliard kernels
[./c_res]
type = SplitCHParsed
variable = c
f_name = F
args = 'eta'
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
[./detadt]
type = TimeDerivative
variable = eta
[../]
[./ACBulk1]
type = AllenCahn
variable = eta
args = 'c'
mob_name = L
f_name = F
[../]
[./ACInterface]
type = ACInterface
variable = eta
mob_name = L
kappa_name = kappa_eta
[../]
[./Fe]
type = MaterialPropertyValue
prop_name = Fe
variable = Fe_fit
[../]
[./autoadjust]
type = MaskedBodyForce
variable = w
function = diff
mask = mask
[../]
[]
[Materials]
# declare a few constants, such as mobilities (L,M) and interface gradient prefactors (kappa*)
[./consts]
type = GenericConstantMaterial
prop_names = 'M L kappa_c kappa_eta'
prop_values = '1.0 1.0 0.5 1'
[../]
# forcing function mask
[./mask]
type = ParsedMaterial
property_name = mask
expression = grad/dt
material_property_names = 'grad dt'
[../]
[./grad]
type = VariableGradientMaterial
variable = c
prop = grad
[../]
[./time]
type = TimeStepMaterial
[../]
# global mechanical properties
[./elasticity_tensor_1]
type = ComputeElasticityTensor
C_ijkl = '1 1'
base_name = phase1
fill_method = symmetric_isotropic
[../]
[./elasticity_tensor_2]
type = ComputeElasticityTensor
C_ijkl = '1 1'
base_name = phase2
fill_method = symmetric_isotropic
[../]
[./strain_1]
type = ComputeRSphericalSmallStrain
base_name = phase1
[../]
[./strain_2]
type = ComputeRSphericalSmallStrain
base_name = phase2
eigenstrain_names = eigenstrain
[../]
[./stress_1]
type = ComputeLinearElasticStress
base_name = phase1
[../]
[./stress_2]
type = ComputeLinearElasticStress
base_name = phase2
[../]
# eigenstrain per phase
[./eigenstrain2]
type = ComputeEigenstrain
eigen_base = '0.05 0.05 0.05 0 0 0'
base_name = phase2
eigenstrain_name = eigenstrain
[../]
# switching functions
[./switching]
type = SwitchingFunctionMaterial
function_name = h
eta = eta
h_order = SIMPLE
[../]
[./barrier]
type = BarrierFunctionMaterial
eta = eta
[../]
# chemical free energies
[./chemical_free_energy_1]
type = DerivativeParsedMaterial
property_name = Fc1
expression = 'c^2'
coupled_variables = 'c'
derivative_order = 2
[../]
[./chemical_free_energy_2]
type = DerivativeParsedMaterial
property_name = Fc2
expression = '(1-c)^2'
coupled_variables = 'c'
derivative_order = 2
[../]
# elastic free energies
[./elastic_free_energy_1]
type = ElasticEnergyMaterial
f_name = Fe1
args = ''
base_name = phase1
derivative_order = 2
[../]
[./elastic_free_energy_2]
type = ElasticEnergyMaterial
f_name = Fe2
args = ''
base_name = phase2
derivative_order = 2
[../]
# per phase free energies
[./free_energy_1]
type = DerivativeSumMaterial
property_name = F1
sum_materials = 'Fc1 Fe1'
coupled_variables = 'c'
derivative_order = 2
[../]
[./free_energy_2]
type = DerivativeSumMaterial
property_name = F2
sum_materials = 'Fc2 Fe2'
coupled_variables = 'c'
derivative_order = 2
[../]
# global chemical free energy
[./global_free_energy]
type = DerivativeTwoPhaseMaterial
f_name = F
fa_name = F1
fb_name = F2
eta = eta
args = 'c'
W = 4
[../]
# global stress
[./global_stress]
type = TwoPhaseStressMaterial
base_A = phase1
base_B = phase2
[../]
[./elastic_free_energy]
type = DerivativeTwoPhaseMaterial
f_name = Fe
fa_name = Fe1
fb_name = Fe2
eta = eta
args = 'c'
W = 0
[../]
[]
[BCs]
[./left_r]
type = DirichletBC
variable = disp_r
boundary = 'left'
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'
outputs = 'table console'
[../]
[./total_solute]
type = ElementIntegralVariablePostprocessor
variable = c
execute_on = 'INITIAL TIMESTEP_END'
outputs = 'table console'
[../]
[./pos_c]
type = FindValueOnLine
start_point = '0 0 0'
end_point = '100 0 0'
v = c
target = 0.582
tol = 1e-8
execute_on = 'INITIAL TIMESTEP_END'
outputs = 'table console'
[../]
[./pos_eta]
type = FindValueOnLine
start_point = '0 0 0'
end_point = '100 0 0'
v = eta
target = 0.5
tol = 1e-8
execute_on = 'INITIAL TIMESTEP_END'
outputs = 'table console'
[../]
[./c_min]
type = ElementExtremeValue
value_type = min
variable = c
execute_on = 'INITIAL TIMESTEP_END'
outputs = 'table console'
[../]
[]
[VectorPostprocessors]
[./line]
type = LineValueSampler
variable = 'Fe_fit c w'
start_point = '0 0 0'
end_point = '100 0 0'
num_points = 5000
sort_by = x
outputs = vpp
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 = 15
l_tol = 1.0e-4
nl_rel_tol = 1.0e-8
nl_abs_tol = 2.0e-9
start_time = 0.0
end_time = 100000.0
[./TimeStepper]
type = IterationAdaptiveDT
optimal_iterations = 7
iteration_window = 1
dt = 1
[../]
[./Adaptivity]
initial_adaptivity = 5
interval = 10
max_h_level = 5
refine_fraction = 0.9
coarsen_fraction = 0.1
[../]
[]
[Outputs]
print_linear_residuals = false
perf_graph = true
execute_on = 'INITIAL TIMESTEP_END'
[./table]
type = CSV
delimiter = ' '
file_base = radius_${RADIUS}/energy_pp
[../]
[./vpp]
type = CSV
delimiter = ' '
sync_times = '10 50 100 500 1000 5000 10000 50000 100000'
sync_only = true
time_data = true
file_base = radius_${RADIUS}/energy_vpp
[../]
[]
(modules/combined/examples/publications/rapid_dev/fig8.i)
#
# Fig. 8 input for 10.1016/j.commatsci.2017.02.017
# D. Schwen et al./Computational Materials Science 132 (2017) 36-45
# Two growing particles with differnet anisotropic Eigenstrains
#
[Mesh]
[./gen]
type = GeneratedMeshGenerator
dim = 2
nx = 80
ny = 40
xmin = -20
xmax = 20
ymin = 0
ymax = 20
elem_type = QUAD4
[../]
[./cnode]
type = ExtraNodesetGenerator
input = gen
coord = '0.0 0.0'
new_boundary = 100
tolerance = 0.1
[../]
[]
[GlobalParams]
# CahnHilliard needs the third derivatives
derivative_order = 3
enable_jit = true
displacements = 'disp_x disp_y'
int_width = 1
[]
# AuxVars to compute the free energy density for outputting
[AuxVariables]
[./local_energy]
order = CONSTANT
family = MONOMIAL
[../]
[./cross_energy]
order = CONSTANT
family = MONOMIAL
[../]
[]
[AuxKernels]
[./local_free_energy]
type = TotalFreeEnergy
variable = local_energy
interfacial_vars = 'c'
kappa_names = 'kappa_c'
additional_free_energy = cross_energy
execute_on = 'INITIAL TIMESTEP_END'
[../]
[./cross_terms]
type = CrossTermGradientFreeEnergy
variable = cross_energy
interfacial_vars = 'eta1 eta2 eta3'
kappa_names = 'kappa11 kappa12 kappa13
kappa21 kappa22 kappa23
kappa31 kappa32 kappa33'
execute_on = 'INITIAL TIMESTEP_END'
[../]
[]
# particle x positions and radius
P1X=8
P2X=-4
PR=2
[Variables]
# Solute concentration variable
[./c]
[./InitialCondition]
type = SpecifiedSmoothCircleIC
x_positions = '${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/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/phase_field/examples/nucleation/refine.i)
#
# Example derived from cahn_hilliard.i demonstrating the use of Adaptivity
# with the DiscreteNucleation system. The DiscreteNucleationMarker triggers
# mesh refinement for the nucleus geometry. It is up to the user to specify
# refinement for the physics. In this example this is done using a GradientJumpIndicator
# with a ValueThresholdMarker. The nucleation system marker and the physics marker
# must be combined using a ComboMarker to combine their effect.
#
[Mesh]
type = GeneratedMesh
dim = 2
nx = 10
ny = 10
xmax = 500
ymax = 500
elem_type = QUAD
[]
[Modules]
[./PhaseField]
[./Conserved]
[./c]
free_energy = F
mobility = M
kappa = kappa_c
solve_type = REVERSE_SPLIT
[../]
[../]
[../]
[]
[ICs]
[./c_IC]
type = ConstantIC
variable = c
value = 0.2
[../]
[]
[Materials]
[./pfmobility]
type = GenericConstantMaterial
prop_names = 'M kappa_c'
prop_values = '1 25'
[../]
[./chemical_free_energy]
# simple double well free energy
type = DerivativeParsedMaterial
property_name = Fc
coupled_variables = 'c'
constant_names = 'barr_height cv_eq'
constant_expressions = '0.1 0'
expression = 16*barr_height*c^2*(1-c)^2 # +0.01*(c*plog(c,0.005)+(1-c)*plog(1-c,0.005))
derivative_order = 2
outputs = exodus
[../]
[./probability]
# This is a made up toy nucleation rate it should be replaced by
# classical nucleation theory in a real simulation.
type = ParsedMaterial
property_name = P
coupled_variables = c
expression = 'if(c<0.21,c*1e-8,0)'
outputs = exodus
[../]
[./nucleation]
# The nucleation material is configured to insert nuclei into the free energy
# tht force the concentration to go to 0.95, and holds this enforcement for 500
# time units.
type = DiscreteNucleation
property_name = Fn
op_names = c
op_values = 0.90
penalty = 5
penalty_mode = MIN
map = map
outputs = exodus
[../]
[./free_energy]
# add the chemical and nucleation free energy contributions together
type = DerivativeSumMaterial
derivative_order = 2
coupled_variables = c
sum_materials = 'Fc Fn'
[../]
[]
[UserObjects]
[./inserter]
# The inserter runs at the end of each time step to add nucleation events
# that happened during the timestep (if it converged) to the list of nuclei
type = DiscreteNucleationInserter
hold_time = 50
probability = P
radius = 10
[../]
[./map]
# The map UO runs at the beginning of a timestep and generates a per-element/qp
# map of nucleus locations. The map is only regenerated if the mesh changed or
# the list of nuclei was modified.
# The map converts the nucleation points into finite area objects with a given radius.
type = DiscreteNucleationMap
periodic = c
inserter = inserter
[../]
[]
[Preconditioning]
[./SMP]
type = SMP
full = true
[../]
[]
[BCs]
[./Periodic]
[./all]
auto_direction = 'x y'
[../]
[../]
[]
[Postprocessors]
[./dt]
type = TimestepSize
[../]
[./ndof]
type = NumDOFs
[../]
[./rate]
type = DiscreteNucleationData
value = RATE
inserter = inserter
[../]
[./dtnuc]
type = DiscreteNucleationTimeStep
inserter = inserter
p2nucleus = 0.0005
dt_max = 10
[../]
[./update]
type = DiscreteNucleationData
value = UPDATE
inserter = inserter
[../]
[./count]
type = DiscreteNucleationData
value = COUNT
inserter = inserter
[../]
[]
[Adaptivity]
[./Indicators]
[./jump]
type = GradientJumpIndicator
variable = c
[../]
[../]
[./Markers]
[./nuc]
type = DiscreteNucleationMarker
map = map
[../]
[./grad]
type = ValueThresholdMarker
variable = jump
coarsen = 0.1
refine = 0.2
[../]
[./combo]
type = ComboMarker
markers = 'nuc grad'
[../]
[../]
marker = combo
cycles_per_step = 3
recompute_markers_during_cycles = true
max_h_level = 3
[]
[Executioner]
type = Transient
scheme = bdf2
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -sub_pc_type'
petsc_options_value = 'asm lu '
nl_max_its = 20
l_tol = 1.0e-4
nl_rel_tol = 1.0e-10
nl_abs_tol = 1.0e-10
start_time = 0.0
num_steps = 120
[./TimeStepper]
type = IterationAdaptiveDT
dt = 10
growth_factor = 1.5
cutback_factor = 0.5
optimal_iterations = 8
iteration_window = 2
timestep_limiting_postprocessor = dtnuc
[../]
[]
[Outputs]
exodus = true
csv = true
print_linear_residuals = false
[]
(test/tests/materials/derivative_material_interface/construction_order.i)
#
# Test the the getDefaultMaterialProperty in DerivativeMaterialInterface.
# This test should only pass, if the construction order of the Materials
# using this interface does not influence the outcome.
#
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 2
nx = 5
ny = 1
xmin = 0
xmax = 1
ymin = 0
ymax = 0.1
elem_type = QUAD4
[]
[]
[GlobalParams]
derivative_order = 2
[]
[Variables]
[./c]
[./InitialCondition]
type = FunctionIC
function = x
[../]
[../]
[]
[Kernels]
[./dummy1]
type = Diffusion
variable = c
[../]
[./dummy2]
type = TimeDerivative
variable = c
[../]
[]
[Materials]
# derivatives used both before and after being declared
[./sum_a_1]
type = DerivativeSumMaterial
property_name = Fa1
sum_materials = 'Fa'
coupled_variables = 'c'
outputs = exodus
[../]
[./free_energy_a]
type = DerivativeParsedMaterial
property_name = Fa
coupled_variables = 'c'
expression = 'c^4'
[../]
[./sum_a_2]
type = DerivativeSumMaterial
property_name = Fa2
sum_materials = 'Fa'
coupled_variables = 'c'
outputs = exodus
[../]
# derivatives declared after being used
[./sum_b_1]
type = DerivativeSumMaterial
property_name = Fb1
sum_materials = 'Fb'
coupled_variables = 'c'
outputs = exodus
[../]
[./free_energy_b]
type = DerivativeParsedMaterial
property_name = Fb
coupled_variables = 'c'
expression = 'c^4'
[../]
# derivatives declared before being used
[./free_energy_c]
type = DerivativeParsedMaterial
property_name = Fc
coupled_variables = 'c'
expression = 'c^4'
[../]
[./sum_c_2]
type = DerivativeSumMaterial
property_name = Fc2
sum_materials = 'Fc'
coupled_variables = 'c'
outputs = exodus
[../]
# non-existing derivatives
[./free_energy_d]
type = ParsedMaterial
property_name = Fd
coupled_variables = 'c'
expression = 'c^4'
[../]
[./sum_d_1]
type = DerivativeSumMaterial
property_name = Fd1
sum_materials = 'Fd'
coupled_variables = 'c'
outputs = exodus
[../]
[]
[Executioner]
type = Transient
scheme = bdf2
solve_type = 'NEWTON'
num_steps = 1
dt = 1e-5
[]
[Outputs]
execute_on = 'timestep_end'
exodus = true
[]
(modules/combined/test/tests/DiffuseCreep/stress_based_chem_pot.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+0.1*v'
[../]
[../]
[./mu]
[../]
[./jx]
[../]
[./jy]
[../]
[./disp_x]
[../]
[./disp_y]
[../]
[]
[AuxVariables]
[./gb]
family = LAGRANGE
order = FIRST
[../]
[./creep_strain_xx]
family = MONOMIAL
order = CONSTANT
[../]
[./stress_xx]
family = MONOMIAL
order = CONSTANT
[../]
[./stress_yy]
family = MONOMIAL
order = CONSTANT
[../]
[./stress_xy]
family = MONOMIAL
order = CONSTANT
[../]
[./mu_prop]
family = MONOMIAL
order = CONSTANT
[../]
[./mech_prop]
family = MONOMIAL
order = CONSTANT
[../]
[./total_potential]
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 = total_potential
c = c
[../]
[./flux_x]
type = CHSplitFlux
variable = jx
component = 0
mobility_name = mobility_prop
mu = mu
c = c
[../]
[./flux_y]
type = CHSplitFlux
variable = jy
component = 1
mobility_name = mobility_prop
mu = mu
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'
[../]
[./creep_strain_xx]
type = RankTwoAux
variable = creep_strain_xx
rank_two_tensor = creep_strain
index_i = 0
index_j = 0
[../]
[./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
[../]
[./stress_xy]
type = RankTwoAux
variable = stress_xy
rank_two_tensor = stress
index_i = 0
index_j = 1
[../]
[./mu_prop]
type = MaterialRealAux
property = mu_prop
variable = mu_prop
[../]
[./mech_prop]
type = MaterialRealAux
property = mech_prop
variable = mech_prop
[../]
[./total_potential]
type = MaterialRealAux
property = total_potential
variable = total_potential
[../]
[]
[Materials]
[./chemical_potential]
type = DerivativeParsedMaterial
block = 0
property_name = mu_prop
coupled_variables = c
expression = 'c'
derivative_order = 1
[../]
[./mechanical_potential]
type = StressBasedChemicalPotential
property_name = mech_prop
stress_name = stress
direction_tensor_name = aniso_tensor
prefactor_name = 1.0
[../]
[./total_potential]
type = DerivativeSumMaterial
block = 0
property_name = total_potential
sum_materials = 'mu_prop mech_prop'
coupled_variables = 'c'
derivative_order = 2
[../]
[./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
[../]
[./diffuse_strain_increment]
type = FluxBasedStrainIncrement
xflux = jx
yflux = jy
gb = gb
property_name = diffuse
[../]
[./diffuse_creep_strain]
type = SumTensorIncrements
tensor_name = creep_strain
coupled_tensor_increment_names = diffuse
[../]
[./strain]
type = ComputeIncrementalSmallStrain
displacements = 'disp_x disp_y'
[../]
[./stress]
type = ComputeStrainIncrementBasedStress
inelastic_strain_names = creep_strain
[../]
[./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/phase_field_fracture/crack2d_vol_dev.i)
#This input uses PhaseField-Nonconserved Action to add phase field fracture bulk rate kernels
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 2
nx = 20
ny = 10
ymax = 0.5
[]
[./noncrack]
type = BoundingBoxNodeSetGenerator
new_boundary = noncrack
bottom_left = '0.5 0 0'
top_right = '1 0 0'
input = gen
[../]
[]
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Modules]
[./PhaseField]
[./Nonconserved]
[./c]
free_energy = F
kappa = kappa_op
mobility = L
[../]
[../]
[../]
[./TensorMechanics]
[./Master]
[./mech]
add_variables = true
strain = SMALL
additional_generate_output = 'stress_yy'
save_in = 'resid_x resid_y'
[../]
[../]
[../]
[]
[AuxVariables]
[./resid_x]
[../]
[./resid_y]
[../]
[]
[Kernels]
[./solid_x]
type = PhaseFieldFractureMechanicsOffDiag
variable = disp_x
component = 0
c = c
[../]
[./solid_y]
type = PhaseFieldFractureMechanicsOffDiag
variable = disp_y
component = 1
c = c
[../]
[]
[BCs]
[./ydisp]
type = FunctionDirichletBC
variable = disp_y
boundary = top
function = 't'
[../]
[./yfix]
type = DirichletBC
variable = disp_y
boundary = noncrack
value = 0
[../]
[./xfix]
type = DirichletBC
variable = disp_x
boundary = top
value = 0
[../]
[]
[Materials]
[./pfbulkmat]
type = GenericConstantMaterial
prop_names = 'gc_prop l visco'
prop_values = '1e-3 0.04 1e-4'
[../]
[./define_mobility]
type = ParsedMaterial
material_property_names = 'gc_prop visco'
property_name = L
expression = '1.0/(gc_prop * visco)'
[../]
[./define_kappa]
type = ParsedMaterial
material_property_names = 'gc_prop l'
property_name = kappa_op
expression = 'gc_prop * l'
[../]
[./elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '120.0 80.0'
fill_method = symmetric_isotropic
[../]
[./damage_stress]
type = ComputeLinearElasticPFFractureStress
c = c
E_name = 'elastic_energy'
D_name = 'degradation'
F_name = 'local_fracture_energy'
decomposition_type = strain_vol_dev
[../]
[./degradation]
type = DerivativeParsedMaterial
property_name = degradation
coupled_variables = 'c'
expression = '(1.0-c)^2*(1.0 - eta) + eta'
constant_names = 'eta'
constant_expressions = '0.0'
derivative_order = 2
[../]
[./local_fracture_energy]
type = DerivativeParsedMaterial
property_name = local_fracture_energy
coupled_variables = 'c'
material_property_names = 'gc_prop l'
expression = 'c^2 * gc_prop / 2 / l'
derivative_order = 2
[../]
[./fracture_driving_energy]
type = DerivativeSumMaterial
coupled_variables = c
sum_materials = 'elastic_energy local_fracture_energy'
derivative_order = 2
property_name = F
[../]
[]
[Postprocessors]
[./resid_x]
type = NodalSum
variable = resid_x
boundary = 2
[../]
[./resid_y]
type = NodalSum
variable = resid_y
boundary = 2
[../]
[]
[Preconditioning]
[./smp]
type = SMP
full = true
[../]
[]
[Executioner]
type = Transient
solve_type = PJFNK
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'
nl_rel_tol = 1e-8
l_max_its = 10
nl_max_its = 10
dt = 1e-4
dtmin = 1e-4
num_steps = 2
[]
[Outputs]
exodus = true
[]
(modules/combined/test/tests/surface_tension_KKS/surface_tension_VDWgas.i)
# Test for ComputeExtraStressVDWGas
# Gas bubble with r = 15 nm in a solid matrix
# The gas pressure is counterbalanced by the surface tension of the solid-gas interface,
# which is included with ComputeSurfaceTensionKKS
[Mesh]
type = GeneratedMesh
dim = 1
nx = 300
xmin = 0
xmax = 30
[]
[Problem]
coord_type = RSPHERICAL
[]
[GlobalParams]
displacements = 'disp_x'
[]
[Variables]
# order parameter
[./eta]
order = FIRST
family = LAGRANGE
[../]
# gas concentration
[./cg]
order = FIRST
family = LAGRANGE
[../]
# vacancy concentration
[./cv]
order = FIRST
family = LAGRANGE
[../]
# gas chemical potential
[./wg]
order = FIRST
family = LAGRANGE
[../]
# vacancy chemical potential
[./wv]
order = FIRST
family = LAGRANGE
[../]
# Matrix phase gas concentration
[./cgm]
order = FIRST
family = LAGRANGE
initial_condition = 1.01e-31
[../]
# Matrix phase vacancy concentration
[./cvm]
order = FIRST
family = LAGRANGE
initial_condition = 2.25e-11
[../]
# Bubble phase gas concentration
[./cgb]
order = FIRST
family = LAGRANGE
initial_condition = 0.2714
[../]
# Bubble phase vacancy concentration
[./cvb]
order = FIRST
family = LAGRANGE
initial_condition = 0.7286
[../]
[]
[ICs]
[./eta_ic]
variable = eta
type = FunctionIC
function = ic_func_eta
[../]
[./cv_ic]
variable = cv
type = FunctionIC
function = ic_func_cv
[../]
[./cg_ic]
variable = cg
type = FunctionIC
function = ic_func_cg
[../]
[]
[Functions]
[./ic_func_eta]
type = ParsedFunction
expression = 'r:=sqrt(x^2+y^2+z^2);0.5*(1.0-tanh((r-r0)/delta_eta/sqrt(2.0)))'
symbol_names = 'delta_eta r0'
symbol_values = '0.321 15'
[../]
[./ic_func_cv]
type = ParsedFunction
expression = 'r:=sqrt(x^2+y^2+z^2);eta_an:=0.5*(1.0-tanh((r-r0)/delta/sqrt(2.0)));cvbubinit*eta_an^3*(6*eta_an^2-15*eta_an+10)+cvmatrixinit*(1-eta_an^3*(6*eta_an^2-15*eta_an+10))'
symbol_names = 'delta r0 cvbubinit cvmatrixinit'
symbol_values = '0.321 15 0.7286 2.25e-11'
[../]
[./ic_func_cg]
type = ParsedFunction
expression = 'r:=sqrt(x^2+y^2+z^2);eta_an:=0.5*(1.0-tanh((r-r0)/delta/sqrt(2.0)));cgbubinit*eta_an^3*(6*eta_an^2-15*eta_an+10)+cgmatrixinit*(1-eta_an^3*(6*eta_an^2-15*eta_an+10))'
symbol_names = 'delta r0 cgbubinit cgmatrixinit'
symbol_values = '0.321 15 0.2714 1.01e-31'
[../]
[]
[Modules/TensorMechanics/Master]
[./all]
add_variables = true
generate_output = 'hydrostatic_stress stress_xx stress_yy stress_zz'
[../]
[]
[Kernels]
# enforce cg = (1-h(eta))*cgm + h(eta)*cgb
[./PhaseConc_g]
type = KKSPhaseConcentration
ca = cgm
variable = cgb
c = cg
eta = eta
[../]
# enforce cv = (1-h(eta))*cvm + h(eta)*cvb
[./PhaseConc_v]
type = KKSPhaseConcentration
ca = cvm
variable = cvb
c = cv
eta = eta
[../]
# enforce pointwise equality of chemical potentials
[./ChemPotVacancies]
type = KKSPhaseChemicalPotential
variable = cvm
cb = cvb
fa_name = f_total_matrix
fb_name = f_total_bub
args_a = 'cgm'
args_b = 'cgb'
[../]
[./ChemPotGas]
type = KKSPhaseChemicalPotential
variable = cgm
cb = cgb
fa_name = f_total_matrix
fb_name = f_total_bub
args_a = 'cvm'
args_b = 'cvb'
[../]
#
# Cahn-Hilliard Equations
#
[./CHBulk_g]
type = KKSSplitCHCRes
variable = cg
ca = cgm
fa_name = f_total_matrix
w = wg
args_a = 'cvm'
[../]
[./CHBulk_v]
type = KKSSplitCHCRes
variable = cv
ca = cvm
fa_name = f_total_matrix
w = wv
args_a = 'cgm'
[../]
[./dcgdt]
type = CoupledTimeDerivative
variable = wg
v = cg
[../]
[./dcvdt]
type = CoupledTimeDerivative
variable = wv
v = cv
[../]
[./wgkernel]
type = SplitCHWRes
mob_name = M
variable = wg
[../]
[./wvkernel]
type = SplitCHWRes
mob_name = M
variable = wv
[../]
#
# Allen-Cahn Equation
#
[./ACBulkF]
type = KKSACBulkF
variable = eta
fa_name = f_total_matrix
fb_name = f_total_bub
w = 0.356
args = 'cvm cvb cgm cgb'
[../]
[./ACBulkCv]
type = KKSACBulkC
variable = eta
ca = cvm
cb = cvb
fa_name = f_total_matrix
args = 'cgm'
[../]
[./ACBulkCg]
type = KKSACBulkC
variable = eta
ca = cgm
cb = cgb
fa_name = f_total_matrix
args = 'cvm'
[../]
[./ACInterface]
type = ACInterface
variable = eta
kappa_name = kappa
[../]
[./detadt]
type = TimeDerivative
variable = eta
[../]
[]
[Materials]
# Chemical free energy of the matrix
[./fm]
type = DerivativeParsedMaterial
property_name = fm
coupled_variables = 'cvm cgm'
material_property_names = 'kvmatrix kgmatrix cvmatrixeq cgmatrixeq'
expression = '0.5*kvmatrix*(cvm-cvmatrixeq)^2 + 0.5*kgmatrix*(cgm-cgmatrixeq)^2'
[../]
# Elastic energy of the matrix
[./elastic_free_energy_m]
type = ElasticEnergyMaterial
base_name = matrix
f_name = fe_m
args = ' '
[../]
# Total free energy of the matrix
[./Total_energy_matrix]
type = DerivativeSumMaterial
property_name = f_total_matrix
sum_materials = 'fm fe_m'
coupled_variables = 'cvm cgm'
[../]
# Free energy of the bubble phase
[./fb]
type = DerivativeParsedMaterial
property_name = fb
coupled_variables = 'cvb cgb'
material_property_names = 'kToverV nQ Va b f0 kpen kgbub kvbub cvbubeq cgbubeq'
expression = '0.5*kgbub*(cvb-cvbubeq)^2 + 0.5*kvbub*(cgb-cgbubeq)^2'
[../]
# Elastic energy of the bubble
[./elastic_free_energy_p]
type = ElasticEnergyMaterial
base_name = bub
f_name = fe_b
args = ' '
[../]
# Total free energy of the bubble
[./Total_energy_bub]
type = DerivativeSumMaterial
property_name = f_total_bub
sum_materials = 'fb fe_b'
# sum_materials = 'fb'
coupled_variables = 'cvb cgb'
[../]
# h(eta)
[./h_eta]
type = SwitchingFunctionMaterial
h_order = HIGH
eta = eta
[../]
# g(eta)
[./g_eta]
type = BarrierFunctionMaterial
g_order = SIMPLE
eta = eta
[../]
# constant properties
[./constants]
type = GenericConstantMaterial
prop_names = 'M L kappa Va kvmatrix kgmatrix kgbub kvbub f0 kpen cvbubeq cgbubeq b T'
prop_values = '0.7 0.7 0.0368 0.03629 223.16 223.16 2.23 2.23 0.0224 1.0 0.6076 0.3924 0.085 800'
[../]
[./cvmatrixeq]
type = ParsedMaterial
property_name = cvmatrixeq
material_property_names = 'T'
constant_names = 'kB Efv'
constant_expressions = '8.6173324e-5 1.69'
expression = 'exp(-Efv/(kB*T))'
[../]
[./cgmatrixeq]
type = ParsedMaterial
property_name = cgmatrixeq
material_property_names = 'T'
constant_names = 'kB Efg'
constant_expressions = '8.6173324e-5 4.92'
expression = 'exp(-Efg/(kB*T))'
[../]
[./kToverV]
type = ParsedMaterial
property_name = kToverV
material_property_names = 'T Va'
constant_names = 'k C44dim' #k in J/K and dimensional C44 in J/m^3
constant_expressions = '1.38e-23 63e9'
expression = 'k*T*1e27/Va/C44dim'
[../]
[./nQ]
type = ParsedMaterial
property_name = nQ
material_property_names = 'T'
constant_names = 'k Pi M hbar' #k in J/K, M is Xe atomic mass in kg, hbar in J s
constant_expressions = '1.38e-23 3.14159 2.18e-25 1.05459e-34'
expression = '(M*k*T/2/Pi/hbar^2)^1.5 * 1e-27' #1e-27 converts from #/m^3 to #/nm^3
[../]
#Mechanical properties
[./Stiffness_matrix]
type = ComputeElasticityTensor
C_ijkl = '0.778 0.7935'
fill_method = symmetric_isotropic
base_name = matrix
[../]
[./Stiffness_bub]
type = ComputeElasticityTensor
C_ijkl = '0.0778 0.07935'
fill_method = symmetric_isotropic
base_name = bub
[../]
[./strain_matrix]
type = ComputeRSphericalSmallStrain
base_name = matrix
[../]
[./strain_bub]
type = ComputeRSphericalSmallStrain
base_name = bub
[../]
[./stress_matrix]
type = ComputeLinearElasticStress
base_name = matrix
[../]
[./stress_bub]
type = ComputeLinearElasticStress
base_name = bub
[../]
[./global_stress]
type = TwoPhaseStressMaterial
base_A = matrix
base_B = bub
[../]
[./surface_tension]
type = ComputeSurfaceTensionKKS
v = eta
kappa_name = kappa
w = 0.356
[../]
[./gas_pressure]
type = ComputeExtraStressVDWGas
T = T
b = b
cg = cgb
Va = Va
nondim_factor = 63e9
base_name = bub
outputs = exodus
[../]
[]
[BCs]
[./left_r]
type = DirichletBC
variable = disp_x
boundary = left
value = 0
[../]
[]
[Preconditioning]
[./full]
type = SMP
full = true
[../]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -sub_pc_type -sub_pc_factor_shift_type'
petsc_options_value = 'asm lu nonzero'
l_max_its = 30
nl_max_its = 15
l_tol = 1.0e-4
nl_rel_tol = 1.0e-10
nl_abs_tol = 1e-11
num_steps = 2
dt = 0.5
[]
[Outputs]
exodus = true
[]
(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/test/tests/phase_field_fracture/crack2d_aniso_hist_false.i)
#This input uses PhaseField-Nonconserved Action to add phase field fracture bulk rate kernels
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 2
nx = 40
ny = 20
ymax = 0.5
[]
[./noncrack]
type = BoundingBoxNodeSetGenerator
new_boundary = noncrack
bottom_left = '0.5 0 0'
top_right = '1 0 0'
input = gen
[../]
[]
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Modules]
[./TensorMechanics]
[./Master]
[./All]
add_variables = true
strain = SMALL
additional_generate_output = 'strain_yy stress_yy'
planar_formulation = PLANE_STRAIN
[../]
[../]
[../]
[./PhaseField]
[./Nonconserved]
[./c]
free_energy = F
kappa = kappa_op
mobility = L
[../]
[../]
[../]
[]
[Kernels]
[./solid_x]
type = PhaseFieldFractureMechanicsOffDiag
variable = disp_x
component = 0
c = c
[../]
[./solid_y]
type = PhaseFieldFractureMechanicsOffDiag
variable = disp_y
component = 1
c = c
[../]
[]
[BCs]
[./ydisp]
type = FunctionDirichletBC
variable = disp_y
boundary = top
function = 't'
[../]
[./yfix]
type = DirichletBC
variable = disp_y
boundary = noncrack
value = 0
[../]
[./xfix]
type = DirichletBC
variable = disp_x
boundary = right
value = 0
[../]
[]
[Materials]
[./pfbulkmat]
type = GenericConstantMaterial
prop_names = 'gc_prop l visco'
prop_values = '1e-3 0.05 1e-6'
[../]
[./elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '127.0 70.8 70.8 127.0 70.8 127.0 73.55 73.55 73.55'
fill_method = symmetric9
euler_angle_1 = 30
euler_angle_2 = 0
euler_angle_3 = 0
[../]
[./define_mobility]
type = ParsedMaterial
material_property_names = 'gc_prop visco'
property_name = L
expression = '1.0/(gc_prop * visco)'
[../]
[./define_kappa]
type = ParsedMaterial
material_property_names = 'gc_prop l'
property_name = kappa_op
expression = 'gc_prop * l'
[../]
[./damage_stress]
type = ComputeLinearElasticPFFractureStress
c = c
E_name = 'elastic_energy'
D_name = 'degradation'
F_name = 'local_fracture_energy'
decomposition_type = stress_spectral
[../]
[./degradation]
type = DerivativeParsedMaterial
property_name = degradation
coupled_variables = 'c'
expression = '(1.0-c)^2*(1.0 - eta) + eta'
constant_names = 'eta'
constant_expressions = '1.0e-6'
derivative_order = 2
[../]
[./local_fracture_energy]
type = DerivativeParsedMaterial
property_name = local_fracture_energy
coupled_variables = 'c'
material_property_names = 'gc_prop l'
expression = 'c^2 * gc_prop / 2 / l'
derivative_order = 2
[../]
[./fracture_driving_energy]
type = DerivativeSumMaterial
coupled_variables = c
sum_materials = 'elastic_energy local_fracture_energy'
derivative_order = 2
property_name = F
[../]
[]
[Postprocessors]
[./av_stress_yy]
type = ElementAverageValue
variable = stress_yy
[../]
[./av_strain_yy]
type = SideAverageValue
variable = disp_y
boundary = top
[../]
[]
[Preconditioning]
[./smp]
type = SMP
full = true
[../]
[]
[Executioner]
type = Transient
solve_type = PJFNK
petsc_options_iname = '-pc_type -pc_factor_mat_solving_package'
petsc_options_value = 'lu superlu_dist'
nl_rel_tol = 1e-8
l_tol = 1e-4
l_max_its = 100
nl_max_its = 10
dt = 2e-6
num_steps = 5
[]
[Outputs]
exodus = true
[]
(modules/combined/test/tests/surface_tension_KKS/surface_tension_KKS.i)
#
# KKS coupled with elasticity. Physical parameters for matrix and precipitate phases
# are gamma and gamma-prime phases, respectively, in the Ni-Al system.
# Parameterization is as described in L.K. Aagesen et al., Computational Materials
# Science, 140, 10-21 (2017), with isotropic elastic properties in both phases
# and without eigenstrain.
#
[Mesh]
type = GeneratedMesh
dim = 1
nx = 200
xmax = 200
[]
[Problem]
coord_type = RSPHERICAL
[]
[GlobalParams]
displacements = 'disp_x'
[]
[Variables]
# order parameter
[./eta]
order = FIRST
family = LAGRANGE
[../]
# solute concentration
[./c]
order = FIRST
family = LAGRANGE
[../]
# chemical potential
[./w]
order = FIRST
family = LAGRANGE
[../]
# solute phase concentration (matrix)
[./cm]
order = FIRST
family = LAGRANGE
initial_condition = 0.13
[../]
# solute phase concentration (precipitate)
[./cp]
order = FIRST
family = LAGRANGE
initial_condition = 0.235
[../]
[]
[AuxVariables]
[./energy_density]
family = MONOMIAL
[../]
[./extra_xx]
order = CONSTANT
family = MONOMIAL
[../]
[./extra_yy]
order = CONSTANT
family = MONOMIAL
[../]
[./extra_zz]
order = CONSTANT
family = MONOMIAL
[../]
[./strain_xx]
order = CONSTANT
family = MONOMIAL
[../]
[./strain_yy]
order = CONSTANT
family = MONOMIAL
[../]
[./strain_zz]
order = CONSTANT
family = MONOMIAL
[../]
[]
[ICs]
[./eta_ic]
variable = eta
type = FunctionIC
function = ic_func_eta
[../]
[./c_ic]
variable = c
type = FunctionIC
function = ic_func_c
[../]
[]
[Functions]
[./ic_func_eta]
type = ParsedFunction
expression = 'r:=sqrt(x^2+y^2+z^2);0.5*(1.0-tanh((r-r0)/delta_eta/sqrt(2.0)))'
symbol_names = 'delta_eta r0'
symbol_values = '6.431 100'
[../]
[./ic_func_c]
type = ParsedFunction
expression = 'r:=sqrt(x^2+y^2+z^2);eta_an:=0.5*(1.0-tanh((r-r0)/delta/sqrt(2.0)));0.235*eta_an^3*(6*eta_an^2-15*eta_an+10)+0.13*(1-eta_an^3*(6*eta_an^2-15*eta_an+10))'
symbol_names = 'delta r0'
symbol_values = '6.431 100'
[../]
[]
[Modules/TensorMechanics/Master]
[./all]
add_variables = true
generate_output = 'hydrostatic_stress stress_xx stress_yy stress_zz'
[../]
[]
[Kernels]
# enforce c = (1-h(eta))*cm + h(eta)*cp
[./PhaseConc]
type = KKSPhaseConcentration
ca = cm
variable = cp
c = c
eta = eta
[../]
# enforce pointwise equality of chemical potentials
[./ChemPotVacancies]
type = KKSPhaseChemicalPotential
variable = cm
cb = cp
fa_name = f_total_matrix
fb_name = f_total_ppt
[../]
#
# Cahn-Hilliard Equation
#
[./CHBulk]
type = KKSSplitCHCRes
variable = c
ca = cm
fa_name = f_total_matrix
w = w
[../]
[./dcdt]
type = CoupledTimeDerivative
variable = w
v = c
[../]
[./ckernel]
type = SplitCHWRes
mob_name = M
variable = w
[../]
#
# Allen-Cahn Equation
#
[./ACBulkF]
type = KKSACBulkF
variable = eta
fa_name = f_total_matrix
fb_name = f_total_ppt
w = 0.0033
args = 'cp cm'
[../]
[./ACBulkC]
type = KKSACBulkC
variable = eta
ca = cm
cb = cp
fa_name = f_total_matrix
[../]
[./ACInterface]
type = ACInterface
variable = eta
kappa_name = kappa
[../]
[./detadt]
type = TimeDerivative
variable = eta
[../]
[]
[AuxKernels]
[./extra_xx]
type = RankTwoAux
rank_two_tensor = extra_stress
index_i = 0
index_j = 0
variable = extra_xx
[../]
[./extra_yy]
type = RankTwoAux
rank_two_tensor = extra_stress
index_i = 1
index_j = 1
variable = extra_yy
[../]
[./extra_zz]
type = RankTwoAux
rank_two_tensor = extra_stress
index_i = 2
index_j = 2
variable = extra_zz
[../]
[./strain_xx]
type = RankTwoAux
rank_two_tensor = mechanical_strain
index_i = 0
index_j = 0
variable = strain_xx
[../]
[./strain_yy]
type = RankTwoAux
rank_two_tensor = mechanical_strain
index_i = 1
index_j = 1
variable = strain_yy
[../]
[./strain_zz]
type = RankTwoAux
rank_two_tensor = mechanical_strain
index_i = 2
index_j = 2
variable = strain_zz
[../]
[]
[Materials]
# Chemical free energy of the matrix
[./fm]
type = DerivativeParsedMaterial
property_name = fm
coupled_variables = 'cm'
expression = '6.55*(cm-0.13)^2'
[../]
# Elastic energy of the matrix
[./elastic_free_energy_m]
type = ElasticEnergyMaterial
base_name = matrix
f_name = fe_m
args = ' '
[../]
# Total free energy of the matrix
[./Total_energy_matrix]
type = DerivativeSumMaterial
property_name = f_total_matrix
sum_materials = 'fm fe_m'
coupled_variables = 'cm'
[../]
# Free energy of the precipitate phase
[./fp]
type = DerivativeParsedMaterial
property_name = fp
coupled_variables = 'cp'
expression = '6.55*(cp-0.235)^2'
[../]
# Elastic energy of the precipitate
[./elastic_free_energy_p]
type = ElasticEnergyMaterial
base_name = ppt
f_name = fe_p
args = ' '
[../]
# Total free energy of the precipitate
[./Total_energy_ppt]
type = DerivativeSumMaterial
property_name = f_total_ppt
sum_materials = 'fp fe_p'
coupled_variables = 'cp'
[../]
# Total elastic energy
[./Total_elastic_energy]
type = DerivativeTwoPhaseMaterial
eta = eta
f_name = f_el_mat
fa_name = fe_m
fb_name = fe_p
outputs = exodus
W = 0
[../]
# h(eta)
[./h_eta]
type = SwitchingFunctionMaterial
h_order = HIGH
eta = eta
[../]
# g(eta)
[./g_eta]
type = BarrierFunctionMaterial
g_order = SIMPLE
eta = eta
outputs = exodus
[../]
# constant properties
[./constants]
type = GenericConstantMaterial
prop_names = 'M L kappa'
prop_values = '0.7 0.7 0.1365'
[../]
#Mechanical properties
[./Stiffness_matrix]
type = ComputeElasticityTensor
C_ijkl = '74.25 14.525'
base_name = matrix
fill_method = symmetric_isotropic
[../]
[./Stiffness_ppt]
type = ComputeElasticityTensor
C_ijkl = '74.25 14.525'
base_name = ppt
fill_method = symmetric_isotropic
[../]
[./strain_matrix]
type = ComputeRSphericalSmallStrain
base_name = matrix
[../]
[./strain_ppt]
type = ComputeRSphericalSmallStrain
base_name = ppt
[../]
[./stress_matrix]
type = ComputeLinearElasticStress
base_name = matrix
[../]
[./stress_ppt]
type = ComputeLinearElasticStress
base_name = ppt
[../]
[./global_stress]
type = TwoPhaseStressMaterial
base_A = matrix
base_B = ppt
[../]
[./interface_stress]
type = ComputeSurfaceTensionKKS
v = eta
kappa_name = kappa
w = 0.0033
[../]
[]
[BCs]
[./left_r]
type = DirichletBC
variable = disp_x
boundary = left
value = 0
[../]
[]
#
# Precondition using handcoded off-diagonal terms
#
[Preconditioning]
[./full]
type = SMP
full = true
[../]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -sub_pc_type -sub_pc_factor_shift_type'
petsc_options_value = 'asm lu nonzero'
l_max_its = 30
nl_max_its = 10
l_tol = 1.0e-4
nl_rel_tol = 1.0e-9
nl_abs_tol = 1.0e-10
num_steps = 2
dt = 0.5
[]
[Outputs]
exodus = true
[./csv]
type = CSV
execute_on = 'final'
[../]
[]
(modules/combined/test/tests/phase_field_fracture/crack2d_iso_wo_time.i)
#This input does not add time derivative kernel for phase field equation
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 2
nx = 20
ny = 10
ymax = 0.5
[]
[./noncrack]
type = BoundingBoxNodeSetGenerator
new_boundary = noncrack
bottom_left = '0.5 0 0'
top_right = '1 0 0'
input = gen
[../]
[]
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Modules]
[./TensorMechanics]
[./Master]
[./mech]
add_variables = true
strain = SMALL
additional_generate_output = 'stress_yy'
save_in = 'resid_x resid_y'
[../]
[../]
[../]
[]
[Variables]
[./c]
order = FIRST
family = LAGRANGE
[../]
[]
[AuxVariables]
[./resid_x]
[../]
[./resid_y]
[../]
[]
[Kernels]
[./solid_x]
type = PhaseFieldFractureMechanicsOffDiag
variable = disp_x
component = 0
c = c
[../]
[./solid_y]
type = PhaseFieldFractureMechanicsOffDiag
variable = disp_y
component = 1
c = c
[../]
[./ACBulk]
type = AllenCahn
variable = c
f_name = F
[../]
[./ACInterface]
type = ACInterface
variable = c
kappa_name = kappa_op
[../]
[]
[BCs]
[./ydisp]
type = FunctionDirichletBC
variable = disp_y
boundary = top
function = 't'
[../]
[./yfix]
type = DirichletBC
variable = disp_y
boundary = noncrack
value = 0
[../]
[./xfix]
type = DirichletBC
variable = disp_x
boundary = top
value = 0
[../]
[]
[Materials]
[./pfbulkmat]
type = GenericConstantMaterial
prop_names = 'gc_prop l visco'
prop_values = '1e-3 0.04 1e-4'
[../]
[./define_mobility]
type = ParsedMaterial
material_property_names = 'gc_prop visco'
property_name = L
expression = '1.0/(gc_prop * visco)'
[../]
[./define_kappa]
type = ParsedMaterial
material_property_names = 'gc_prop l'
property_name = kappa_op
expression = 'gc_prop * l'
[../]
[./elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '120.0 80.0'
fill_method = symmetric_isotropic
[../]
[./elastic]
type = ComputeLinearElasticPFFractureStress
c = c
E_name = 'elastic_energy'
D_name = 'degradation'
F_name = 'local_fracture_energy'
decomposition_type = strain_spectral
[../]
[./degradation]
type = DerivativeParsedMaterial
property_name = degradation
coupled_variables = 'c'
expression = '(1.0-c)^2*(1.0 - eta) + eta'
constant_names = 'eta'
constant_expressions = '0.0'
derivative_order = 2
[../]
[./local_fracture_energy]
type = DerivativeParsedMaterial
property_name = local_fracture_energy
coupled_variables = 'c'
material_property_names = 'gc_prop l'
expression = 'c^2 * gc_prop / 2 / l'
derivative_order = 2
[../]
[./fracture_driving_energy]
type = DerivativeSumMaterial
coupled_variables = c
sum_materials = 'elastic_energy local_fracture_energy'
derivative_order = 2
property_name = F
[../]
[]
[Postprocessors]
[./resid_x]
type = NodalSum
variable = resid_x
boundary = 2
[../]
[./resid_y]
type = NodalSum
variable = resid_y
boundary = 2
[../]
[]
[Preconditioning]
[./smp]
type = SMP
full = true
[../]
[]
[Executioner]
type = Transient
solve_type = PJFNK
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'
nl_rel_tol = 1e-8
l_max_its = 10
nl_max_its = 10
dt = 1e-4
dtmin = 1e-4
num_steps = 2
[]
[Outputs]
exodus = true
[]
(modules/combined/examples/phase_field-mechanics/Conserved.i)
#
# Example 1
# Illustrating the coupling between chemical and mechanical (elastic) driving forces.
# An oversized precipitate deforms under a uniaxial compressive stress
# Check the file below for comments and suggestions for parameter modifications.
#
[Mesh]
type = GeneratedMesh
dim = 2
nx = 40
ny = 40
nz = 0
xmin = 0
xmax = 50
ymin = 0
ymax = 50
zmin = 0
zmax = 0
elem_type = QUAD4
[]
[Variables]
[./c]
order = FIRST
family = LAGRANGE
[./InitialCondition]
type = SmoothCircleIC
x1 = 0
y1 = 0
radius = 25.0
invalue = 1.0
outvalue = 0.0
int_width = 50.0
[../]
[../]
[./w]
order = FIRST
family = LAGRANGE
[../]
[./disp_x]
order = FIRST
family = LAGRANGE
[../]
[./disp_y]
order = FIRST
family = LAGRANGE
[../]
[]
[Kernels]
[./TensorMechanics]
displacements = 'disp_x disp_y'
[../]
[./c_res]
type = SplitCHParsed
variable = c
f_name = F
kappa_name = kappa_c
w = w
[../]
[./w_res]
type = SplitCHWRes
variable = w
mob_name = M
[../]
[./time]
type = CoupledTimeDerivative
variable = w
v = c
[../]
[]
#
# The AuxVariables and AuxKernels below are added to visualize the xx and yy stress tensor components
#
[AuxVariables]
[./sigma11_aux]
order = CONSTANT
family = MONOMIAL
[../]
[./sigma22_aux]
order = CONSTANT
family = MONOMIAL
[../]
[]
[AuxKernels]
[./matl_sigma11]
type = RankTwoAux
rank_two_tensor = stress
index_i = 0
index_j = 0
variable = sigma11_aux
[../]
[./matl_sigma22]
type = RankTwoAux
rank_two_tensor = stress
index_i = 1
index_j = 1
variable = sigma22_aux
[../]
[]
[Materials]
[./pfmobility]
type = GenericConstantMaterial
prop_names = 'M kappa_c'
prop_values = '1 5'
block = 0
#kappa = 0.1
#mob = 1e-3
[../]
# simple chemical free energy with a miscibility gap
[./chemical_free_energy]
type = DerivativeParsedMaterial
block = 0
property_name = Fc
coupled_variables = 'c'
constant_names = 'barr_height cv_eq'
constant_expressions = '0.1 1.0e-2'
expression = 16*barr_height*(c-cv_eq)^2*(1-cv_eq-c)^2
enable_jit = true
derivative_order = 2
[../]
# undersized solute (voidlike)
[./elasticity_tensor]
type = ComputeElasticityTensor
block = 0
# lambda, mu values
C_ijkl = '7 7'
# Stiffness tensor is created from lambda=7, mu=7 using symmetric_isotropic fill method
fill_method = symmetric_isotropic
# See RankFourTensor.h for details on fill methods
# '15 15' results in a high stiffness (the elastic free energy will dominate)
# '7 7' results in a low stiffness (the chemical free energy will dominate)
[../]
[./stress]
type = ComputeLinearElasticStress
block = 0
[../]
[./var_dependence]
type = DerivativeParsedMaterial
block = 0
# eigenstrain coefficient
# -0.1 will result in an undersized precipitate
# 0.1 will result in an oversized precipitate
expression = 0.1*c
coupled_variables = c
f_name = var_dep
enable_jit = true
derivative_order = 2
[../]
[./eigenstrain]
type = ComputeVariableEigenstrain
block = 0
eigen_base = '1 1 1 0 0 0'
prefactor = var_dep
#outputs = exodus
args = 'c'
eigenstrain_name = eigenstrain
[../]
[./strain]
type = ComputeSmallStrain
block = 0
displacements = 'disp_x disp_y'
eigenstrain_names = eigenstrain
[../]
[./elastic_free_energy]
type = ElasticEnergyMaterial
f_name = Fe
block = 0
args = 'c'
derivative_order = 2
[../]
# Sum up chemical and elastic contributions
[./free_energy]
type = DerivativeSumMaterial
block = 0
property_name = F
sum_materials = 'Fc Fe'
coupled_variables = 'c'
derivative_order = 2
[../]
[]
[BCs]
[./bottom_y]
type = DirichletBC
variable = disp_y
boundary = 'bottom'
value = 0
[../]
[./top_y]
type = DirichletBC
variable = disp_y
boundary = 'top'
# prescribed displacement
# -5 will result in a compressive stress
# 5 will result in a tensile stress
value = -5
[../]
[./left_x]
type = DirichletBC
variable = disp_x
boundary = 'left'
value = 0
[../]
[]
[Preconditioning]
# active = ' '
[./SMP]
type = SMP
full = true
[../]
[]
[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
num_steps = 200
[./TimeStepper]
type = SolutionTimeAdaptiveDT
dt = 1
[../]
[]
[Outputs]
exodus = true
[]
(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/examples/phase_field-mechanics/kks_mechanics_VTS.i)
# KKS phase-field model coupled with elasticity using the Voigt-Taylor scheme as
# described in L.K. Aagesen et al., Computational Materials Science, 140, 10-21 (2017)
# Original run #170329e
[Mesh]
type = GeneratedMesh
dim = 3
nx = 640
ny = 1
nz = 1
xmin = -10
xmax = 10
ymin = 0
ymax = 0.03125
zmin = 0
zmax = 0.03125
elem_type = HEX8
[]
[Variables]
# order parameter
[./eta]
order = FIRST
family = LAGRANGE
[../]
# solute concentration
[./c]
order = FIRST
family = LAGRANGE
[../]
# chemical potential
[./w]
order = FIRST
family = LAGRANGE
[../]
# solute phase concentration (matrix)
[./cm]
order = FIRST
family = LAGRANGE
[../]
# solute phase concentration (precipitate)
[./cp]
order = FIRST
family = LAGRANGE
[../]
[./disp_x]
order = FIRST
family = LAGRANGE
[../]
[./disp_y]
order = FIRST
family = LAGRANGE
[../]
[./disp_z]
order = FIRST
family = LAGRANGE
[../]
[]
[ICs]
[./eta_ic]
variable = eta
type = FunctionIC
function = ic_func_eta
block = 0
[../]
[./c_ic]
variable = c
type = FunctionIC
function = ic_func_c
block = 0
[../]
[./w_ic]
variable = w
type = ConstantIC
value = 0.00991
block = 0
[../]
[./cm_ic]
variable = cm
type = ConstantIC
value = 0.131
block = 0
[../]
[./cp_ic]
variable = cp
type = ConstantIC
value = 0.236
block = 0
[../]
[]
[Functions]
[./ic_func_eta]
type = ParsedFunction
expression = '0.5*(1.0+tanh((x)/delta_eta/sqrt(2.0)))'
symbol_names = 'delta_eta'
symbol_values = '0.8034'
[../]
[./ic_func_c]
type = ParsedFunction
expression = '0.2388*(0.5*(1.0+tanh(x/delta/sqrt(2.0))))^3*(6*(0.5*(1.0+tanh(x/delta/sqrt(2.0))))^2-15*(0.5*(1.0+tanh(x/delta/sqrt(2.0))))+10)+0.1338*(1-(0.5*(1.0+tanh(x/delta/sqrt(2.0))))^3*(6*(0.5*(1.0+tanh(x/delta/sqrt(2.0))))^2-15*(0.5*(1.0+tanh(x/delta/sqrt(2.0))))+10))'
symbol_names = 'delta'
symbol_values = '0.8034'
[../]
[./psi_eq_int]
type = ParsedFunction
expression = 'volume*psi_alpha'
symbol_names = 'volume psi_alpha'
symbol_values = 'volume psi_alpha'
[../]
[./gamma]
type = ParsedFunction
expression = '(psi_int - psi_eq_int) / dy / dz'
symbol_names = 'psi_int psi_eq_int dy dz'
symbol_values = 'psi_int psi_eq_int 0.03125 0.03125'
[../]
[]
[AuxVariables]
[./sigma11]
order = CONSTANT
family = MONOMIAL
[../]
[./sigma22]
order = CONSTANT
family = MONOMIAL
[../]
[./sigma33]
order = CONSTANT
family = MONOMIAL
[../]
[./e11]
order = CONSTANT
family = MONOMIAL
[../]
[./e12]
order = CONSTANT
family = MONOMIAL
[../]
[./e22]
order = CONSTANT
family = MONOMIAL
[../]
[./e33]
order = CONSTANT
family = MONOMIAL
[../]
[./e_el11]
order = CONSTANT
family = MONOMIAL
[../]
[./e_el12]
order = CONSTANT
family = MONOMIAL
[../]
[./e_el22]
order = CONSTANT
family = MONOMIAL
[../]
[./f_el]
order = CONSTANT
family = MONOMIAL
[../]
[./eigen_strain00]
order = CONSTANT
family = MONOMIAL
[../]
[./Fglobal]
order = CONSTANT
family = MONOMIAL
[../]
[./psi]
order = CONSTANT
family = MONOMIAL
[../]
[]
[AuxKernels]
[./matl_sigma11]
type = RankTwoAux
rank_two_tensor = stress
index_i = 0
index_j = 0
variable = sigma11
[../]
[./matl_sigma22]
type = RankTwoAux
rank_two_tensor = stress
index_i = 1
index_j = 1
variable = sigma22
[../]
[./matl_sigma33]
type = RankTwoAux
rank_two_tensor = stress
index_i = 2
index_j = 2
variable = sigma33
[../]
[./matl_e11]
type = RankTwoAux
rank_two_tensor = total_strain
index_i = 0
index_j = 0
variable = e11
[../]
[./matl_e12]
type = RankTwoAux
rank_two_tensor = total_strain
index_i = 0
index_j = 1
variable = e12
[../]
[./matl_e22]
type = RankTwoAux
rank_two_tensor = total_strain
index_i = 1
index_j = 1
variable = e22
[../]
[./matl_e33]
type = RankTwoAux
rank_two_tensor = total_strain
index_i = 2
index_j = 2
variable = e33
[../]
[./f_el]
type = MaterialRealAux
variable = f_el
property = f_el_mat
execute_on = timestep_end
[../]
[./GlobalFreeEnergy]
variable = Fglobal
type = KKSGlobalFreeEnergy
fa_name = fm
fb_name = fp
w = 0.0264
kappa_names = kappa
interfacial_vars = eta
[../]
[./psi_potential]
variable = psi
type = ParsedAux
coupled_variables = 'Fglobal w c f_el sigma11 e11'
expression = 'Fglobal - w*c + f_el - sigma11*e11'
[../]
[]
[BCs]
[./left_x]
type = DirichletBC
variable = disp_x
boundary = left
value = 0
[../]
[./right_x]
type = DirichletBC
variable = disp_x
boundary = right
value = 0
[../]
[./front_y]
type = DirichletBC
variable = disp_y
boundary = front
value = 0
[../]
[./back_y]
type = DirichletBC
variable = disp_y
boundary = back
value = 0
[../]
[./top_z]
type = DirichletBC
variable = disp_z
boundary = top
value = 0
[../]
[./bottom_z]
type = DirichletBC
variable = disp_z
boundary = bottom
value = 0
[../]
[]
[Materials]
# Chemical free energy of the matrix
[./fm]
type = DerivativeParsedMaterial
property_name = fm
coupled_variables = 'cm'
expression = '6.55*(cm-0.13)^2'
[../]
# Elastic energy of the matrix
[./elastic_free_energy_m]
type = ElasticEnergyMaterial
base_name = matrix
f_name = fe_m
args = ' '
outputs = exodus
[../]
# Total free energy of the matrix
[./Total_energy_matrix]
type = DerivativeSumMaterial
property_name = f_total_matrix
sum_materials = 'fm fe_m'
coupled_variables = 'cm'
[../]
# Free energy of the precipitate phase
[./fp]
type = DerivativeParsedMaterial
property_name = fp
coupled_variables = 'cp'
expression = '6.55*(cp-0.235)^2'
[../]
# Elastic energy of the precipitate
[./elastic_free_energy_p]
type = ElasticEnergyMaterial
base_name = ppt
f_name = fe_p
args = ' '
outputs = exodus
[../]
# Total free energy of the precipitate
[./Total_energy_ppt]
type = DerivativeSumMaterial
property_name = f_total_ppt
sum_materials = 'fp fe_p'
coupled_variables = 'cp'
[../]
# Total elastic energy
[./Total_elastic_energy]
type = DerivativeTwoPhaseMaterial
eta = eta
f_name = f_el_mat
fa_name = fe_m
fb_name = fe_p
outputs = exodus
W = 0
[../]
# h(eta)
[./h_eta]
type = SwitchingFunctionMaterial
h_order = HIGH
eta = eta
[../]
# g(eta)
[./g_eta]
type = BarrierFunctionMaterial
g_order = SIMPLE
eta = eta
[../]
# constant properties
[./constants]
type = GenericConstantMaterial
prop_names = 'M L kappa misfit'
prop_values = '0.7 0.7 0.01704 0.00377'
[../]
#Mechanical properties
[./Stiffness_matrix]
type = ComputeElasticityTensor
C_ijkl = '103.3 74.25 74.25 103.3 74.25 103.3 46.75 46.75 46.75'
base_name = matrix
fill_method = symmetric9
[../]
[./Stiffness_ppt]
type = ComputeElasticityTensor
C_ijkl = '100.7 71.45 71.45 100.7 71.45 100.7 50.10 50.10 50.10'
base_name = ppt
fill_method = symmetric9
[../]
[./stress_matrix]
type = ComputeLinearElasticStress
base_name = matrix
[../]
[./stress_ppt]
type = ComputeLinearElasticStress
base_name = ppt
[../]
[./strain_matrix]
type = ComputeSmallStrain
displacements = 'disp_x disp_y disp_z'
base_name = matrix
[../]
[./strain_ppt]
type = ComputeSmallStrain
displacements = 'disp_x disp_y disp_z'
base_name = ppt
eigenstrain_names = 'eigenstrain_ppt'
[../]
[./eigen_strain]
type = ComputeEigenstrain
base_name = ppt
eigen_base = '1 1 1 0 0 0'
prefactor = misfit
eigenstrain_name = 'eigenstrain_ppt'
[../]
[./global_stress]
type = TwoPhaseStressMaterial
base_A = matrix
base_B = ppt
[../]
[./global_strain]
type = ComputeSmallStrain
displacements = 'disp_x disp_y disp_z'
[../]
[]
[Kernels]
[./TensorMechanics]
displacements = 'disp_x disp_y disp_z'
[../]
# enforce c = (1-h(eta))*cm + h(eta)*cp
[./PhaseConc]
type = KKSPhaseConcentration
ca = cm
variable = cp
c = c
eta = eta
[../]
# enforce pointwise equality of chemical potentials
[./ChemPotVacancies]
type = KKSPhaseChemicalPotential
variable = cm
cb = cp
fa_name = f_total_matrix
fb_name = f_total_ppt
[../]
#
# Cahn-Hilliard Equation
#
[./CHBulk]
type = KKSSplitCHCRes
variable = c
ca = cm
fa_name = f_total_matrix
w = w
[../]
[./dcdt]
type = CoupledTimeDerivative
variable = w
v = c
[../]
[./ckernel]
type = SplitCHWRes
mob_name = M
variable = w
[../]
#
# Allen-Cahn Equation
#
[./ACBulkF]
type = KKSACBulkF
variable = eta
fa_name = f_total_matrix
fb_name = f_total_ppt
w = 0.0264
args = 'cp cm'
[../]
[./ACBulkC]
type = KKSACBulkC
variable = eta
ca = cm
cb = cp
fa_name = f_total_matrix
[../]
[./ACInterface]
type = ACInterface
variable = eta
kappa_name = kappa
[../]
[./detadt]
type = TimeDerivative
variable = eta
[../]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -sub_pc_type -sub_pc_factor_shift_type'
petsc_options_value = 'asm ilu nonzero'
l_max_its = 30
nl_max_its = 10
l_tol = 1.0e-4
nl_rel_tol = 1.0e-8
nl_abs_tol = 1.0e-11
num_steps = 200
[./TimeStepper]
type = SolutionTimeAdaptiveDT
dt = 0.5
[../]
[]
[VectorPostprocessors]
#[./eta]
# type = LineValueSampler
# start_point = '-10 0 0'
# end_point = '10 0 0'
# variable = eta
# num_points = 321
# sort_by = id
#[../]
#[./eta_position]
# type = FindValueOnLineSample
# vectorpostprocessor = eta
# variable_name = eta
# search_value = 0.5
#[../]
# [./f_el]
# type = LineMaterialRealSampler
# start = '-20 0 0'
# end = '20 0 0'
# sort_by = id
# property = f_el
# [../]
# [./f_el_a]
# type = LineMaterialRealSampler
# start = '-20 0 0'
# end = '20 0 0'
# sort_by = id
# property = fe_m
# [../]
# [./f_el_b]
# type = LineMaterialRealSampler
# start = '-20 0 0'
# end = '20 0 0'
# sort_by = id
# property = fe_p
# [../]
# [./h_out]
# type = LineMaterialRealSampler
# start = '-20 0 0'
# end = '20 0 0'
# sort_by = id
# property = h
# [../]
# [./fm_out]
# type = LineMaterialRealSampler
# start = '-20 0 0'
# end = '20 0 0'
# sort_by = id
# property = fm
# [../]
[]
[Postprocessors]
[./f_el_int]
type = ElementIntegralMaterialProperty
mat_prop = f_el_mat
[../]
[./c_alpha]
type = SideAverageValue
boundary = left
variable = c
[../]
[./c_beta]
type = SideAverageValue
boundary = right
variable = c
[../]
[./e11_alpha]
type = SideAverageValue
boundary = left
variable = e11
[../]
[./e11_beta]
type = SideAverageValue
boundary = right
variable = e11
[../]
[./s11_alpha]
type = SideAverageValue
boundary = left
variable = sigma11
[../]
[./s22_alpha]
type = SideAverageValue
boundary = left
variable = sigma22
[../]
[./s33_alpha]
type = SideAverageValue
boundary = left
variable = sigma33
[../]
[./s11_beta]
type = SideAverageValue
boundary = right
variable = sigma11
[../]
[./s22_beta]
type = SideAverageValue
boundary = right
variable = sigma22
[../]
[./s33_beta]
type = SideAverageValue
boundary = right
variable = sigma33
[../]
[./f_el_alpha]
type = SideAverageValue
boundary = left
variable = f_el
[../]
[./f_el_beta]
type = SideAverageValue
boundary = right
variable = f_el
[../]
[./f_c_alpha]
type = SideAverageValue
boundary = left
variable = Fglobal
[../]
[./f_c_beta]
type = SideAverageValue
boundary = right
variable = Fglobal
[../]
[./chem_pot_alpha]
type = SideAverageValue
boundary = left
variable = w
[../]
[./chem_pot_beta]
type = SideAverageValue
boundary = right
variable = w
[../]
[./psi_alpha]
type = SideAverageValue
boundary = left
variable = psi
[../]
[./psi_beta]
type = SideAverageValue
boundary = right
variable = psi
[../]
[./total_energy]
type = ElementIntegralVariablePostprocessor
variable = Fglobal
[../]
# Get simulation cell size from postprocessor
[./volume]
type = ElementIntegralMaterialProperty
mat_prop = 1
[../]
[./psi_eq_int]
type = FunctionValuePostprocessor
function = psi_eq_int
[../]
[./psi_int]
type = ElementIntegralVariablePostprocessor
variable = psi
[../]
[./gamma]
type = FunctionValuePostprocessor
function = gamma
[../]
[]
#
# Precondition using handcoded off-diagonal terms
#
[Preconditioning]
[./full]
type = SMP
full = true
[../]
[]
[Outputs]
[./exodus]
type = Exodus
time_step_interval = 20
[../]
[./csv]
type = CSV
execute_on = 'final'
[../]
#[./console]
# type = Console
# output_file = true
# [../]
[]
(modules/combined/test/tests/phase_field_fracture/crack2d_no_split.i)
#This input uses PhaseField-Nonconserved Action to add phase field fracture bulk rate kernels
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 2
nx = 20
ny = 10
ymax = 0.5
[]
[./noncrack]
type = BoundingBoxNodeSetGenerator
new_boundary = noncrack
bottom_left = '0.5 0 0'
top_right = '1 0 0'
input = gen
[../]
[]
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Modules]
[./PhaseField]
[./Nonconserved]
[./c]
free_energy = F
kappa = kappa_op
mobility = L
[../]
[../]
[../]
[./TensorMechanics]
[./Master]
[./mech]
add_variables = true
strain = SMALL
additional_generate_output = 'stress_yy'
save_in = 'resid_x resid_y'
[../]
[../]
[../]
[]
[AuxVariables]
[./resid_x]
[../]
[./resid_y]
[../]
[]
[Kernels]
[./solid_x]
type = PhaseFieldFractureMechanicsOffDiag
variable = disp_x
component = 0
c = c
[../]
[./solid_y]
type = PhaseFieldFractureMechanicsOffDiag
variable = disp_y
component = 1
c = c
[../]
[]
[BCs]
[./ydisp]
type = FunctionDirichletBC
variable = disp_y
boundary = top
function = 't'
[../]
[./yfix]
type = DirichletBC
variable = disp_y
boundary = noncrack
value = 0
[../]
[./xfix]
type = DirichletBC
variable = disp_x
boundary = top
value = 0
[../]
[]
[Materials]
[./pfbulkmat]
type = GenericConstantMaterial
prop_names = 'gc_prop l visco'
prop_values = '1e-3 0.04 1e-4'
[../]
[./define_mobility]
type = ParsedMaterial
material_property_names = 'gc_prop visco'
property_name = L
expression = '1.0/(gc_prop * visco)'
[../]
[./define_kappa]
type = ParsedMaterial
material_property_names = 'gc_prop l'
property_name = kappa_op
expression = 'gc_prop * l'
[../]
[./elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '120.0 80.0'
fill_method = symmetric_isotropic
[../]
[./damage_stress]
type = ComputeLinearElasticPFFractureStress
c = c
E_name = 'elastic_energy'
D_name = 'degradation'
F_name = 'local_fracture_energy'
decomposition_type = none
[../]
[./degradation]
type = DerivativeParsedMaterial
property_name = degradation
coupled_variables = 'c'
expression = '(1.0-c)^2*(1.0 - eta) + eta'
constant_names = 'eta'
constant_expressions = '0.0'
derivative_order = 2
[../]
[./local_fracture_energy]
type = DerivativeParsedMaterial
property_name = local_fracture_energy
coupled_variables = 'c'
material_property_names = 'gc_prop l'
expression = 'c^2 * gc_prop / 2 / l'
derivative_order = 2
[../]
[./fracture_driving_energy]
type = DerivativeSumMaterial
coupled_variables = c
sum_materials = 'elastic_energy local_fracture_energy'
derivative_order = 2
property_name = F
[../]
[]
[Postprocessors]
[./resid_x]
type = NodalSum
variable = resid_x
boundary = 2
[../]
[./resid_y]
type = NodalSum
variable = resid_y
boundary = 2
[../]
[]
[Preconditioning]
[./smp]
type = SMP
full = true
[../]
[]
[Executioner]
type = Transient
solve_type = PJFNK
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'
nl_rel_tol = 1e-8
l_max_its = 10
nl_max_its = 10
dt = 1e-4
dtmin = 1e-4
num_steps = 2
[]
[Outputs]
exodus = true
[]
(modules/combined/test/tests/phase_field_fracture/crack2d_linear_fracture_energy.i)
#This input uses PhaseField-Nonconserved Action to add phase field fracture bulk rate kernels
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 2
nx = 20
ny = 10
ymax = 0.5
[]
[./noncrack]
type = BoundingBoxNodeSetGenerator
new_boundary = noncrack
bottom_left = '0.5 0 0'
top_right = '1 0 0'
input = gen
[../]
[]
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Modules]
[./PhaseField]
[./Nonconserved]
[./c]
free_energy = F
kappa = kappa_op
mobility = L
[../]
[../]
[../]
[./TensorMechanics]
[./Master]
[./mech]
add_variables = true
strain = SMALL
additional_generate_output = 'stress_yy'
save_in = 'resid_x resid_y'
[../]
[../]
[../]
[]
[AuxVariables]
[./resid_x]
[../]
[./resid_y]
[../]
[]
[Kernels]
[./solid_x]
type = PhaseFieldFractureMechanicsOffDiag
variable = disp_x
component = 0
c = c
[../]
[./solid_y]
type = PhaseFieldFractureMechanicsOffDiag
variable = disp_y
component = 1
c = c
[../]
[]
[BCs]
[./ydisp]
type = FunctionDirichletBC
variable = disp_y
boundary = top
function = 't'
[../]
[./yfix]
type = DirichletBC
variable = disp_y
boundary = noncrack
value = 0
[../]
[./xfix]
type = DirichletBC
variable = disp_x
boundary = top
value = 0
[../]
[]
[Materials]
[./pfbulkmat]
type = GenericConstantMaterial
prop_names = 'gc_prop l visco'
prop_values = '1e-3 0.04 1e-4'
[../]
[./define_mobility]
type = ParsedMaterial
material_property_names = 'gc_prop visco'
property_name = L
expression = '1.0/(gc_prop * visco)'
[../]
[./define_kappa]
type = ParsedMaterial
material_property_names = 'gc_prop l'
property_name = kappa_op
expression = 'gc_prop * l * 3 / 4'
[../]
[./elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '120.0 80.0'
fill_method = symmetric_isotropic
[../]
[./elastic]
type = ComputeLinearElasticPFFractureStress
c = c
E_name = 'elastic_energy'
D_name = 'degradation'
F_name = 'fracture_energy'
barrier_energy = 'barrier'
decomposition_type = strain_spectral
[../]
[./degradation]
type = DerivativeParsedMaterial
property_name = degradation
coupled_variables = 'c'
expression = '(1.0-c)^2*(1.0 - eta) + eta'
constant_names = 'eta'
constant_expressions = '0.0'
derivative_order = 2
[../]
[./fracture_energy]
type = DerivativeParsedMaterial
property_name = fracture_energy
coupled_variables = 'c'
material_property_names = 'gc_prop l'
expression = '3 * gc_prop / (8 * l) * c'
derivative_order = 2
[../]
[./fracture_driving_energy]
type = DerivativeSumMaterial
coupled_variables = c
sum_materials = 'elastic_energy fracture_energy'
derivative_order = 2
property_name = F
[../]
[./barrier_energy]
type = ParsedMaterial
property_name = barrier
material_property_names = 'gc_prop l'
expression = '3 * gc_prop / 16 / l'
[../]
[]
[Postprocessors]
[./resid_x]
type = NodalSum
variable = resid_x
boundary = 2
[../]
[./resid_y]
type = NodalSum
variable = resid_y
boundary = 2
[../]
[]
[Preconditioning]
[./smp]
type = SMP
full = true
[../]
[]
[Executioner]
type = Transient
solve_type = PJFNK
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'
nl_rel_tol = 1e-8
l_max_its = 10
nl_max_its = 20
dt = 1e-4
dtmin = 1e-4
num_steps = 2
[]
[Outputs]
exodus = true
[]
(modules/combined/examples/publications/rapid_dev/fig7b.i)
#
# Fig. 7 input for 10.1016/j.commatsci.2017.02.017
# D. Schwen et al./Computational Materials Science 132 (2017) 36-45
# Dashed black curve (2)
# Eigenstrain is globally applied. Single global elastic free energies.
# Supply the RADIUS parameter (10-35) on the command line to generate data
# for all curves in the plot.
#
[Mesh]
type = GeneratedMesh
dim = 1
nx = 32
xmin = 0
xmax = 100
second_order = true
[]
[Problem]
coord_type = RSPHERICAL
[]
[GlobalParams]
displacements = 'disp_r'
[]
[Functions]
[./diff]
type = ParsedFunction
expression = '${RADIUS}-pos_c'
symbol_names = pos_c
symbol_values = pos_c
[../]
[]
# 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'
execute_on = 'INITIAL TIMESTEP_END'
[../]
[]
[Variables]
# Solute concentration variable
[./c]
[./InitialCondition]
type = SmoothCircleIC
invalue = 1
outvalue = 0
x1 = 0
y1 = 0
radius = ${RADIUS}
int_width = 3
[../]
[../]
[./w]
[../]
# Phase order parameter
[./eta]
[./InitialCondition]
type = SmoothCircleIC
invalue = 1
outvalue = 0
x1 = 0
y1 = 0
radius = ${RADIUS}
int_width = 3
[../]
[../]
[./Fe_fit]
order = SECOND
[../]
[]
[Modules/TensorMechanics/Master/all]
add_variables = true
eigenstrain_names = eigenstrain
[]
[Kernels]
# Split Cahn-Hilliard kernels
[./c_res]
type = SplitCHParsed
variable = c
f_name = F
args = 'eta'
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
[./detadt]
type = TimeDerivative
variable = eta
[../]
[./ACBulk1]
type = AllenCahn
variable = eta
args = 'c'
mob_name = L
f_name = F
[../]
[./ACInterface]
type = ACInterface
variable = eta
mob_name = L
kappa_name = kappa_eta
[../]
[./Fe]
type = MaterialPropertyValue
prop_name = Fe
variable = Fe_fit
[../]
[./autoadjust]
type = MaskedBodyForce
variable = w
function = diff
mask = mask
[../]
[]
[Materials]
# declare a few constants, such as mobilities (L,M) and interface gradient prefactors (kappa*)
[./consts]
type = GenericConstantMaterial
prop_names = 'M L kappa_c kappa_eta'
prop_values = '1.0 1.0 0.5 1'
[../]
# forcing function mask
[./mask]
type = ParsedMaterial
property_name = mask
expression = grad/dt
material_property_names = 'grad dt'
[../]
[./grad]
type = VariableGradientMaterial
variable = c
prop = grad
[../]
[./time]
type = TimeStepMaterial
[../]
# global mechanical properties
[./elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '1 1'
fill_method = symmetric_isotropic
[../]
[./stress]
type = ComputeLinearElasticStress
[../]
# eigenstrain as a function of phase
[./eigenstrain]
type = ComputeVariableEigenstrain
eigen_base = '0.05 0.05 0.05 0 0 0'
prefactor = h
args = eta
eigenstrain_name = eigenstrain
[../]
# switching functions
[./switching]
type = SwitchingFunctionMaterial
function_name = h
eta = eta
h_order = SIMPLE
[../]
[./barrier]
type = BarrierFunctionMaterial
eta = eta
[../]
# chemical free energies
[./chemical_free_energy_1]
type = DerivativeParsedMaterial
property_name = Fc1
expression = 'c^2'
coupled_variables = 'c'
derivative_order = 2
[../]
[./chemical_free_energy_2]
type = DerivativeParsedMaterial
property_name = Fc2
expression = '(1-c)^2'
coupled_variables = 'c'
derivative_order = 2
[../]
# global chemical free energy
[./chemical_free_energy]
type = DerivativeTwoPhaseMaterial
f_name = Fc
fa_name = Fc1
fb_name = Fc2
eta = eta
args = 'c'
W = 4
[../]
# global elastic free energy
[./elastic_free_energy]
type = ElasticEnergyMaterial
f_name = Fe
args = 'eta'
output_properties = Fe
derivative_order = 2
[../]
# free energy
[./free_energy]
type = DerivativeSumMaterial
property_name = F
sum_materials = 'Fc Fe'
coupled_variables = 'c eta'
derivative_order = 2
[../]
[]
[BCs]
[./left_r]
type = DirichletBC
variable = disp_r
boundary = 'left'
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'
outputs = 'table console'
[../]
[./total_solute]
type = ElementIntegralVariablePostprocessor
variable = c
execute_on = 'INITIAL TIMESTEP_END'
outputs = 'table console'
[../]
[./pos_c]
type = FindValueOnLine
start_point = '0 0 0'
end_point = '100 0 0'
v = c
target = 0.582
tol = 1e-8
execute_on = 'INITIAL TIMESTEP_END'
outputs = 'table console'
[../]
[./pos_eta]
type = FindValueOnLine
start_point = '0 0 0'
end_point = '100 0 0'
v = eta
target = 0.5
tol = 1e-8
execute_on = 'INITIAL TIMESTEP_END'
outputs = 'table console'
[../]
[./c_min]
type = ElementExtremeValue
value_type = min
variable = c
execute_on = 'INITIAL TIMESTEP_END'
outputs = 'table console'
[../]
[]
[VectorPostprocessors]
[./line]
type = LineValueSampler
variable = 'Fe_fit c w'
start_point = '0 0 0'
end_point = '100 0 0'
num_points = 5000
sort_by = x
outputs = vpp
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 = 15
l_tol = 1.0e-4
nl_rel_tol = 1.0e-8
nl_abs_tol = 2.0e-9
start_time = 0.0
end_time = 100000.0
[./TimeStepper]
type = IterationAdaptiveDT
optimal_iterations = 8
iteration_window = 1
dt = 1
[../]
[./Adaptivity]
initial_adaptivity = 5
interval = 10
max_h_level = 5
refine_fraction = 0.9
coarsen_fraction = 0.1
[../]
[]
[Outputs]
print_linear_residuals = false
perf_graph = true
execute_on = 'INITIAL TIMESTEP_END'
[./table]
type = CSV
delimiter = ' '
file_base = radius_${RADIUS}/eigenstrain_pp
[../]
[./vpp]
type = CSV
delimiter = ' '
sync_times = '10 50 100 500 1000 5000 10000 50000 100000'
sync_only = true
time_data = true
file_base = radius_${RADIUS}/eigenstrain_vpp
[../]
[]
(modules/combined/test/tests/eigenstrain/variable_cahnhilliard.i)
[Mesh]
type = GeneratedMesh
dim = 2
nx = 16
ny = 16
xmin = 0
xmax = 50
ymin = 0
ymax = 50
elem_type = QUAD4
[]
[Variables]
[./c]
order = FIRST
family = LAGRANGE
[./InitialCondition]
type = SmoothCircleIC
x1 = 0
y1 = 0
radius = 25.0
invalue = 1.0
outvalue = 0.0
int_width = 50.0
[../]
[../]
[./w]
order = FIRST
family = LAGRANGE
[../]
[./disp_x]
order = FIRST
family = LAGRANGE
[../]
[./disp_y]
order = FIRST
family = LAGRANGE
[../]
[]
[Kernels]
[./TensorMechanics]
displacements = 'disp_x disp_y'
[../]
[./c_res]
type = SplitCHParsed
variable = c
f_name = F
kappa_name = kappa_c
w = w
[../]
[./w_res]
type = SplitCHWRes
variable = w
mob_name = M
[../]
[./time]
type = CoupledTimeDerivative
variable = w
v = c
[../]
[]
[AuxVariables]
[./sigma11_aux]
order = CONSTANT
family = MONOMIAL
[../]
[./sigma22_aux]
order = CONSTANT
family = MONOMIAL
[../]
[]
[AuxKernels]
[./matl_sigma11]
type = RankTwoAux
rank_two_tensor = stress
index_i = 0
index_j = 0
variable = sigma11_aux
[../]
[./matl_sigma22]
type = RankTwoAux
rank_two_tensor = stress
index_i = 1
index_j = 1
variable = sigma22_aux
[../]
[]
[Materials]
[./pfmobility]
type = GenericConstantMaterial
prop_names = 'M kappa_c'
prop_values = '1 5'
block = 0
[../]
[./chemical_free_energy]
type = DerivativeParsedMaterial
block = 0
property_name = Fc
coupled_variables = 'c'
constant_names = 'barr_height cv_eq'
constant_expressions = '0.1 1.0e-2'
expression = 16*barr_height*(c-cv_eq)^2*(1-cv_eq-c)^2
enable_jit = true
derivative_order = 2
[../]
[./elasticity_tensor]
type = ComputeElasticityTensor
block = 0
C_ijkl = '7 7'
fill_method = symmetric_isotropic
[../]
[./stress]
type = ComputeLinearElasticStress
block = 0
[../]
[./var_dependence]
type = DerivativeParsedMaterial
block = 0
expression = 0.1*c
coupled_variables = c
property_name = var_dep
enable_jit = true
derivative_order = 2
[../]
[./eigenstrain]
type = ComputeVariableEigenstrain
block = 0
eigen_base = '1 1 1 0 0 0'
prefactor = var_dep
args = 'c'
eigenstrain_name = eigenstrain
[../]
[./strain]
type = ComputeSmallStrain
block = 0
displacements = 'disp_x disp_y'
eigenstrain_names = eigenstrain
[../]
[./elastic_free_energy]
type = ElasticEnergyMaterial
f_name = Fe
block = 0
args = 'c'
derivative_order = 2
[../]
[./free_energy]
type = DerivativeSumMaterial
block = 0
property_name = F
sum_materials = 'Fc Fe'
coupled_variables = 'c'
derivative_order = 2
[../]
[]
[BCs]
[./bottom_y]
type = DirichletBC
variable = disp_y
boundary = 'bottom'
value = 0
[../]
[./top_y]
type = DirichletBC
variable = disp_y
boundary = 'top'
value = -5
[../]
[./left_x]
type = DirichletBC
variable = disp_x
boundary = 'left'
value = 0
[../]
[]
[Preconditioning]
[./SMP]
type = SMP
full = true
[../]
[]
[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
num_steps = 2
dt = 1
[]
[Outputs]
exodus = true
[]
(modules/combined/test/tests/phase_field_fracture/crack2d_iso.i)
#This input uses PhaseField-Nonconserved Action to add phase field fracture bulk rate kernels
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 2
nx = 20
ny = 10
ymax = 0.5
[]
[./noncrack]
type = BoundingBoxNodeSetGenerator
new_boundary = noncrack
bottom_left = '0.5 0 0'
top_right = '1 0 0'
input = gen
[../]
[]
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Modules]
[./PhaseField]
[./Nonconserved]
[./c]
free_energy = F
kappa = kappa_op
mobility = L
[../]
[../]
[../]
[./TensorMechanics]
[./Master]
[./mech]
add_variables = true
strain = SMALL
additional_generate_output = 'stress_yy'
save_in = 'resid_x resid_y'
[../]
[../]
[../]
[]
[AuxVariables]
[./resid_x]
[../]
[./resid_y]
[../]
[]
[Kernels]
[./solid_x]
type = PhaseFieldFractureMechanicsOffDiag
variable = disp_x
component = 0
c = c
[../]
[./solid_y]
type = PhaseFieldFractureMechanicsOffDiag
variable = disp_y
component = 1
c = c
[../]
[]
[BCs]
[./ydisp]
type = FunctionDirichletBC
variable = disp_y
boundary = top
function = 't'
[../]
[./yfix]
type = DirichletBC
variable = disp_y
boundary = noncrack
value = 0
[../]
[./xfix]
type = DirichletBC
variable = disp_x
boundary = top
value = 0
[../]
[]
[Materials]
[./pfbulkmat]
type = GenericConstantMaterial
prop_names = 'gc_prop l visco'
prop_values = '1e-3 0.04 1e-4'
[../]
[./define_mobility]
type = ParsedMaterial
material_property_names = 'gc_prop visco'
property_name = L
expression = '1.0/(gc_prop * visco)'
[../]
[./define_kappa]
type = ParsedMaterial
material_property_names = 'gc_prop l'
property_name = kappa_op
expression = 'gc_prop * l'
[../]
[./elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '120.0 80.0'
fill_method = symmetric_isotropic
[../]
[./damage_stress]
type = ComputeLinearElasticPFFractureStress
c = c
E_name = 'elastic_energy'
D_name = 'degradation'
F_name = 'local_fracture_energy'
decomposition_type = strain_spectral
[../]
[./degradation]
type = DerivativeParsedMaterial
property_name = degradation
coupled_variables = 'c'
expression = '(1.0-c)^2*(1.0 - eta) + eta'
constant_names = 'eta'
constant_expressions = '0.0'
derivative_order = 2
[../]
[./local_fracture_energy]
type = DerivativeParsedMaterial
property_name = local_fracture_energy
coupled_variables = 'c'
material_property_names = 'gc_prop l'
expression = 'c^2 * gc_prop / 2 / l'
derivative_order = 2
[../]
[./fracture_driving_energy]
type = DerivativeSumMaterial
coupled_variables = c
sum_materials = 'elastic_energy local_fracture_energy'
derivative_order = 2
property_name = F
[../]
[]
[Postprocessors]
[./resid_x]
type = NodalSum
variable = resid_x
boundary = 2
[../]
[./resid_y]
type = NodalSum
variable = resid_y
boundary = 2
[../]
[]
[Preconditioning]
[./smp]
type = SMP
full = true
[../]
[]
[Executioner]
type = Transient
solve_type = PJFNK
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'
nl_rel_tol = 1e-8
l_max_its = 10
nl_max_its = 10
dt = 1e-4
dtmin = 1e-4
num_steps = 2
[]
[Outputs]
exodus = true
[]
(modules/combined/test/tests/phase_field_fracture/crack2d_aniso.i)
#This input uses PhaseField-Nonconserved Action to add phase field fracture bulk rate kernels
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 2
nx = 40
ny = 20
ymax = 0.5
[]
[./noncrack]
type = BoundingBoxNodeSetGenerator
new_boundary = noncrack
bottom_left = '0.5 0 0'
top_right = '1 0 0'
input = gen
[../]
[]
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Modules]
[./TensorMechanics]
[./Master]
[./All]
add_variables = true
strain = SMALL
additional_generate_output = 'strain_yy stress_yy'
planar_formulation = PLANE_STRAIN
[../]
[../]
[../]
[./PhaseField]
[./Nonconserved]
[./c]
free_energy = F
kappa = kappa_op
mobility = L
[../]
[../]
[../]
[]
[Kernels]
[./solid_x]
type = PhaseFieldFractureMechanicsOffDiag
variable = disp_x
component = 0
c = c
[../]
[./solid_y]
type = PhaseFieldFractureMechanicsOffDiag
variable = disp_y
component = 1
c = c
[../]
[./off_disp]
type = AllenCahnElasticEnergyOffDiag
variable = c
displacements = 'disp_x disp_y'
mob_name = L
[../]
[]
[BCs]
[./ydisp]
type = FunctionDirichletBC
variable = disp_y
boundary = top
function = 't'
[../]
[./yfix]
type = DirichletBC
variable = disp_y
boundary = noncrack
value = 0
[../]
[./xfix]
type = DirichletBC
variable = disp_x
boundary = right
value = 0
[../]
[]
[Materials]
[./pfbulkmat]
type = GenericConstantMaterial
prop_names = 'gc_prop l visco'
prop_values = '1e-3 0.05 1e-6'
[../]
[./elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '127.0 70.8 70.8 127.0 70.8 127.0 73.55 73.55 73.55'
fill_method = symmetric9
euler_angle_1 = 30
euler_angle_2 = 0
euler_angle_3 = 0
[../]
[./define_mobility]
type = ParsedMaterial
material_property_names = 'gc_prop visco'
property_name = L
expression = '1.0/(gc_prop * visco)'
[../]
[./define_kappa]
type = ParsedMaterial
material_property_names = 'gc_prop l'
property_name = kappa_op
expression = 'gc_prop * l'
[../]
[./damage_stress]
type = ComputeLinearElasticPFFractureStress
c = c
E_name = 'elastic_energy'
D_name = 'degradation'
F_name = 'local_fracture_energy'
decomposition_type = stress_spectral
use_current_history_variable = true
[../]
[./degradation]
type = DerivativeParsedMaterial
property_name = degradation
coupled_variables = 'c'
expression = '(1.0-c)^2*(1.0 - eta) + eta'
constant_names = 'eta'
constant_expressions = '1.0e-6'
derivative_order = 2
[../]
[./local_fracture_energy]
type = DerivativeParsedMaterial
property_name = local_fracture_energy
coupled_variables = 'c'
material_property_names = 'gc_prop l'
expression = 'c^2 * gc_prop / 2 / l'
derivative_order = 2
[../]
[./fracture_driving_energy]
type = DerivativeSumMaterial
coupled_variables = c
sum_materials = 'elastic_energy local_fracture_energy'
derivative_order = 2
property_name = F
[../]
[]
[Postprocessors]
[./av_stress_yy]
type = ElementAverageValue
variable = stress_yy
[../]
[./av_strain_yy]
type = SideAverageValue
variable = disp_y
boundary = top
[../]
[]
[Preconditioning]
[./smp]
type = SMP
full = true
[../]
[]
[Executioner]
type = Transient
solve_type = PJFNK
petsc_options_iname = '-pc_type -pc_factor_mat_solving_package'
petsc_options_value = 'lu superlu_dist'
nl_rel_tol = 1e-8
l_tol = 1e-4
l_max_its = 100
nl_max_its = 10
dt = 5e-5
num_steps = 2
[]
[Outputs]
exodus = true
[]
(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 = ' '
[../]
[]
(modules/combined/examples/phase_field-mechanics/SimplePhaseTrans.i)
#
# Martensitic transformation
# One structural order parameter (SOP) governed by AllenCahn Eqn.
# Chemical driving force described by Landau Polynomial
# Coupled with elasticity (Mechanics)
# Eigenstrain as a function of SOP
#
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Mesh]
type = GeneratedMesh
dim = 2
nx = 100
ny = 100
xmin = 0
xmax = 100
ymin = 0
ymax = 100
elem_type = QUAD4
[]
[Variables]
[./eta]
order = FIRST
family = LAGRANGE
[./InitialCondition]
type = SmoothCircleIC
x1 = 50
y1 = 50
radius = 10.0
invalue = 1.0
outvalue = 0.0
int_width = 5.0
[../]
[../]
[]
[Modules/TensorMechanics/Master]
[./all]
add_variables = true
generate_output = 'stress_xx stress_yy'
eigenstrain_names = 'eigenstrain'
[../]
[]
[Kernels]
[./eta_bulk]
type = AllenCahn
variable = eta
f_name = F
[../]
[./eta_interface]
type = ACInterface
variable = eta
kappa_name = kappa_eta
[../]
[./time]
type = TimeDerivative
variable = eta
[../]
[]
[Materials]
[./consts]
type = GenericConstantMaterial
prop_names = 'L kappa_eta'
prop_values = '1 1'
[../]
[./chemical_free_energy]
type = DerivativeParsedMaterial
property_name = Fc
coupled_variables = 'eta'
constant_names = 'A2 A3 A4'
constant_expressions = '0.2 -12.6 12.4'
expression = A2/2*eta^2+A3/3*eta^3+A4/4*eta^4
enable_jit = true
derivative_order = 2
[../]
[./elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '70 30 30 70 30 70 30 30 30'
fill_method = symmetric9
[../]
[./stress]
type = ComputeLinearElasticStress
[../]
[./var_dependence]
type = DerivativeParsedMaterial
expression = eta
coupled_variables = 'eta'
property_name = var_dep
enable_jit = true
derivative_order = 2
[../]
[./eigenstrain]
type = ComputeVariableEigenstrain
eigen_base = '0.1 0.1 0 0 0 0'
prefactor = var_dep
#outputs = exodus
args = 'eta'
eigenstrain_name = eigenstrain
[../]
[./elastic_free_energy]
type = ElasticEnergyMaterial
f_name = Fe
args = 'eta'
derivative_order = 2
[../]
[./free_energy]
type = DerivativeSumMaterial
property_name = F
sum_materials = 'Fc Fe'
coupled_variables = 'eta'
derivative_order = 2
[../]
[]
[BCs]
[./all_y]
type = DirichletBC
variable = disp_y
boundary = 'top bottom left right'
value = 0
[../]
[./all_x]
type = DirichletBC
variable = disp_x
boundary = 'top bottom left right'
value = 0
[../]
[]
[Preconditioning]
# active = ' '
[./SMP]
type = SMP
full = true
[../]
[]
[Executioner]
type = Transient
scheme = bdf2
# this gives best performance on 4 cores
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
num_steps = 10
[./TimeStepper]
type = IterationAdaptiveDT
optimal_iterations = 9
iteration_window = 2
growth_factor = 1.1
cutback_factor = 0.75
dt = 0.3
[../]
[]
[Outputs]
execute_on = 'timestep_end'
exodus = true
[]
(modules/combined/test/tests/phase_field_fracture/void2d_iso.i)
[Mesh]
type = FileMesh
file = void2d_mesh.xda
[]
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Modules]
[./TensorMechanics]
[./Master]
[./All]
add_variables = true
strain = SMALL
additional_generate_output = stress_yy
[../]
[../]
[../]
[./PhaseField]
[./Nonconserved]
[./c]
free_energy = F
mobility = L
kappa = kappa_op
[../]
[../]
[../]
[]
[Functions]
[./tfunc]
type = ParsedFunction
expression = t
[../]
[./void_prop_func]
type = ParsedFunction
expression = 'rad:=0.2;m:=50;r:=sqrt(x^2+y^2);1-exp(-(r/rad)^m)+1e-8'
[../]
[./gb_prop_func]
type = ParsedFunction
expression = 'rad:=0.2;thk:=0.05;m:=50;sgnx:=1-exp(-(x/rad)^m);v:=sgnx*exp(-(y/thk)^m);0.005*(1-v)+0.001*v'
[../]
[]
[Kernels]
[./solid_x]
type = PhaseFieldFractureMechanicsOffDiag
variable = disp_x
component = 0
c = c
[../]
[./solid_y]
type = PhaseFieldFractureMechanicsOffDiag
variable = disp_y
component = 1
c = c
[../]
[]
[BCs]
[./ydisp]
type = FunctionDirichletBC
variable = disp_y
boundary = top
function = tfunc
[../]
[./yfix]
type = DirichletBC
variable = disp_y
boundary = bottom
value = 0
[../]
[./xfix]
type = DirichletBC
variable = disp_x
boundary = left
value = 0
[../]
[]
[Materials]
[./pfbulkmat]
type = GenericConstantMaterial
prop_names = 'l visco'
prop_values = '0.01 0.1'
[../]
[./pfgc]
type = GenericFunctionMaterial
prop_names = 'gc_prop'
prop_values = 'gb_prop_func'
[../]
[./elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '120.0 80.0'
fill_method = symmetric_isotropic
elasticity_tensor_prefactor = void_prop_func
[../]
[./define_mobility]
type = ParsedMaterial
material_property_names = 'gc_prop visco'
property_name = L
expression = '1.0/(gc_prop * visco)'
[../]
[./define_kappa]
type = ParsedMaterial
material_property_names = 'gc_prop l'
property_name = kappa_op
expression = 'gc_prop * l'
[../]
[./damage_stress]
type = ComputeLinearElasticPFFractureStress
c = c
E_name = 'elastic_energy'
D_name = 'degradation'
F_name = 'fracture_energy'
decomposition_type = strain_spectral
[../]
[./degradation]
type = DerivativeParsedMaterial
property_name = degradation
coupled_variables = 'c'
expression = '(1.0-c)^2*(1.0 - eta) + eta'
constant_names = 'eta'
constant_expressions = '0.0'
derivative_order = 2
[../]
[./fracture_energy]
type = DerivativeParsedMaterial
property_name = fracture_energy
coupled_variables = 'c'
material_property_names = 'gc_prop l'
expression = 'c^2 * gc_prop / 2 / l'
derivative_order = 2
[../]
[./fracture_driving_energy]
type = DerivativeSumMaterial
coupled_variables = c
sum_materials = 'elastic_energy fracture_energy'
derivative_order = 2
property_name = F
[../]
[]
[Preconditioning]
[./smp]
type = SMP
full = true
[../]
[]
[Executioner]
type = Transient
solve_type = PJFNK
petsc_options_iname = '-pc_type -sub_pc_type -pc_asm_overlap'
petsc_options_value = 'asm lu 1'
nl_rel_tol = 1e-9
nl_max_its = 10
l_tol = 1e-4
l_max_its = 40
dt = 1e-4
num_steps = 2
[]
[Outputs]
exodus = true
[]