- base_ABase name for the Phase A strain.
C++ Type:std::string
Description:Base name for the Phase A strain.
- base_BBase name for the Phase B strain.
C++ Type:std::string
Description:Base name for the Phase B strain.
TwoPhaseStressMaterial
under construction:Undocumented Class
The TwoPhaseStressMaterial has not been documented. The content listed below should be used as a starting point for documenting the class, which includes the typical automatic documentation associated with a MooseObject; however, what is contained is ultimately determined by what is necessary to make the documentation clear for users.
# TwoPhaseStressMaterial
!syntax description /Materials/TwoPhaseStressMaterial
## Overview
!! Replace these lines with information regarding the TwoPhaseStressMaterial object.
## Example Input File Syntax
!! Describe and include an example of how to use the TwoPhaseStressMaterial object.
!syntax parameters /Materials/TwoPhaseStressMaterial
!syntax inputs /Materials/TwoPhaseStressMaterial
!syntax children /Materials/TwoPhaseStressMaterial
Compute a global stress in a two phase model
Input Parameters
- base_nameBase name for the computed global stress (optional).
C++ Type:std::string
Options:
Description:Base name for the computed global stress (optional).
- blockThe list of block ids (SubdomainID) that this object will be applied
C++ Type:std::vector
Options:
Description:The list of block ids (SubdomainID) that this object will be applied
- boundaryThe list of boundary IDs from the mesh where this boundary condition applies
C++ Type:std::vector
Options:
Description:The list of boundary IDs from the mesh where this boundary condition 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
Options:
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 computeSubdomainProperties() for the 0th quadrature point, and then copy that value to the other qps. Evaluations on element qps will be skipped
Default:NONE
C++ Type:MooseEnum
Options:NONE ELEMENT SUBDOMAIN
Description:When ELEMENT, MOOSE will only call computeQpProperties() for the 0th quadrature point, and then copy that value to the other qps.When SUBDOMAIN, MOOSE will only call computeSubdomainProperties() for the 0th quadrature point, and then copy that value to the other qps. Evaluations on element qps will be skipped
- hhSwitching Function Material that provides h(eta)
Default:h
C++ Type:MaterialPropertyName
Options:
Description:Switching Function Material that provides h(eta)
Optional Parameters
- control_tagsAdds user-defined labels for accessing object parameters via control logic.
C++ Type:std::vector
Options:
Description:Adds user-defined labels for accessing object parameters via control logic.
- enableTrueSet the enabled status of the MooseObject.
Default:True
C++ Type:bool
Options:
Description:Set the enabled status of the MooseObject.
- implicitTrueDetermines whether this object is calculated using an implicit or explicit form
Default:True
C++ Type:bool
Options:
Description:Determines whether this object is calculated using an implicit or explicit form
- seed0The seed for the master random number generator
Default:0
C++ Type:unsigned int
Options:
Description:The seed for the master random number generator
- use_displaced_meshFalseWhether or not this object should use the displaced mesh for computation. Note that in the case this is true but no displacements are provided in the Mesh block the undisplaced mesh will still be used.
Default:False
C++ Type:bool
Options:
Description:Whether or not this object should use the displaced mesh for computation. Note that in the case this is true but no displacements are provided in the Mesh block the undisplaced mesh will still be used.
Advanced Parameters
- output_propertiesList of material properties, from this material, to output (outputs must also be defined to an output type)
C++ Type:std::vector
Options:
Description:List of material properties, from this material, to output (outputs must also be defined to an output type)
- outputsnone Vector of output names were you would like to restrict the output of variables(s) associated with this object
Default:none
C++ Type:std::vector
Options:
Description:Vector of output names were you would like to restrict the output of variables(s) associated with this object
Outputs Parameters
Input Files
- modules/combined/test/tests/surface_tension_KKS/surface_tension_VDWgas.i
- modules/combined/examples/phase_field-mechanics/kks_mechanics_VTS.i
- modules/combined/test/tests/surface_tension_KKS/surface_tension_KKS.i
- modules/combined/test/tests/linear_elasticity/extra_stress.i
- modules/combined/test/tests/multiphase_mechanics/twophasestress.i
- modules/combined/examples/phase_field-mechanics/Nonconserved.i
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
value = 'r:=sqrt(x^2+y^2+z^2);0.5*(1.0-tanh((r-r0)/delta_eta/sqrt(2.0)))'
vars = 'delta_eta r0'
vals = '0.321 15'
[../]
[./ic_func_cv]
type = ParsedFunction
value = '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))'
vars = 'delta r0 cvbubinit cvmatrixinit'
vals = '0.321 15 0.7286 2.25e-11'
[../]
[./ic_func_cg]
type = ParsedFunction
value = '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))'
vars = 'delta r0 cgbubinit cgmatrixinit'
vals = '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
f_name = fm
args = 'cvm cgm'
material_property_names = 'kvmatrix kgmatrix cvmatrixeq cgmatrixeq'
function = '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
f_name = f_total_matrix
sum_materials = 'fm fe_m'
args = 'cvm cgm'
[../]
# Free energy of the bubble phase
[./fb]
type = DerivativeParsedMaterial
f_name = fb
args = 'cvb cgb'
material_property_names = 'kToverV nQ Va b f0 kpen kgbub kvbub cvbubeq cgbubeq'
function = '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
f_name = f_total_bub
sum_materials = 'fb fe_b'
# sum_materials = 'fb'
args = '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
f_name = cvmatrixeq
material_property_names = 'T'
constant_names = 'kB Efv'
constant_expressions = '8.6173324e-5 1.69'
function = 'exp(-Efv/(kB*T))'
[../]
[./cgmatrixeq]
type = ParsedMaterial
f_name = cgmatrixeq
material_property_names = 'T'
constant_names = 'kB Efg'
constant_expressions = '8.6173324e-5 4.92'
function = 'exp(-Efg/(kB*T))'
[../]
[./kToverV]
type = ParsedMaterial
f_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'
function = 'k*T*1e27/Va/C44dim'
[../]
[./nQ]
type = ParsedMaterial
f_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'
function = '(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/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
value = '0.5*(1.0+tanh((x)/delta_eta/sqrt(2.0)))'
vars = 'delta_eta'
vals = '0.8034'
[../]
[./ic_func_c]
type = ParsedFunction
value = '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))'
vars = 'delta'
vals = '0.8034'
[../]
[./psi_eq_int]
type = ParsedFunction
value = 'volume*psi_alpha'
vars = 'volume psi_alpha'
vals = 'volume psi_alpha'
[../]
[./gamma]
type = ParsedFunction
value = '(psi_int - psi_eq_int) / dy / dz'
vars = 'psi_int psi_eq_int dy dz'
vals = '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
args = 'Fglobal w c f_el sigma11 e11'
function = '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
f_name = fm
args = 'cm'
function = '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
f_name = f_total_matrix
sum_materials = 'fm fe_m'
args = 'cm'
[../]
# Free energy of the precipitate phase
[./fp]
type = DerivativeParsedMaterial
f_name = fp
args = 'cp'
function = '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
f_name = f_total_ppt
sum_materials = 'fp fe_p'
args = '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
interval = 20
[../]
[./csv]
type = CSV
execute_on = 'final'
[../]
#[./console]
# type = Console
# output_file = 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
value = 'r:=sqrt(x^2+y^2+z^2);0.5*(1.0-tanh((r-r0)/delta_eta/sqrt(2.0)))'
vars = 'delta_eta r0'
vals = '6.431 100'
[../]
[./ic_func_c]
type = ParsedFunction
value = '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))'
vars = 'delta r0'
vals = '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
f_name = fm
args = 'cm'
function = '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
f_name = f_total_matrix
sum_materials = 'fm fe_m'
args = 'cm'
[../]
# Free energy of the precipitate phase
[./fp]
type = DerivativeParsedMaterial
f_name = fp
args = 'cp'
function = '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
f_name = f_total_ppt
sum_materials = 'fp fe_p'
args = '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/linear_elasticity/extra_stress.i
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Mesh]
type = GeneratedMesh
dim = 2
nx = 128
ny = 1
xmax = 3.2
ymax = 0.025
elem_type = QUAD4
[]
[Modules/TensorMechanics/Master/All]
add_variables = true
generate_output = 'stress_xx stress_xy stress_yy stress_zz strain_xx strain_xy strain_yy'
[]
[AuxVariables]
[./c]
[../]
[]
[ICs]
[./c_IC]
type = BoundingBoxIC
variable = c
x1 = -1
y1 = -1
x2 = 1.6
y2 = 1
inside = 0
outside = 1
block = 0
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeElasticityTensor
block = 0
C_ijkl = '104 74 74 104 74 104 47.65 47.65 47.65'
fill_method = symmetric9
base_name = matrix
[../]
[./stress]
type = ComputeLinearElasticStress
block = 0
base_name = matrix
[../]
[./strain]
type = ComputeSmallStrain
block = 0
base_name = matrix
[../]
[./elasticity_tensor_ppt]
type = ComputeElasticityTensor
block = 0
C_ijkl = '0.104 0.074 0.074 0.104 0.074 0.104 0.04765 0.04765 0.04765'
fill_method = symmetric9
base_name = ppt
[../]
[./stress_ppt]
type = ComputeLinearElasticStress
block = 0
base_name = ppt
[../]
[./strain_ppt]
type = ComputeSmallStrain
block = 0
base_name = ppt
[../]
[./const_stress]
type = ComputeExtraStressConstant
block = 0
base_name = ppt
extra_stress_tensor = '-0.288 -0.373 -0.2747 0 0 0'
[../]
[./global_stress]
type = TwoPhaseStressMaterial
base_A = matrix
base_B = ppt
[../]
[./switching]
type = SwitchingFunctionMaterial
eta = c
[../]
[]
[BCs]
active = 'left_x right_x bottom_y top_y'
[./bottom_y]
type = DirichletBC
variable = disp_y
boundary = bottom
value = 0
[../]
[./left_x]
type = DirichletBC
variable = disp_x
boundary = left
value = 0
[../]
[./right_x]
type = DirichletBC
variable = disp_x
boundary = right
value = 0
[../]
[./top_y]
type = DirichletBC
variable = disp_y
boundary = top
value = 0
[../]
[]
[Preconditioning]
[./SMP]
type = SMP
full = true
[../]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
[]
[Outputs]
exodus = true
[]
modules/combined/test/tests/multiphase_mechanics/twophasestress.i
[Mesh]
type = GeneratedMesh
dim = 2
nx = 20
ny = 20
xmin = 0
xmax = 2
ymin = 0
ymax = 2
elem_type = QUAD4
[]
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Variables]
[./disp_x]
[../]
[./disp_y]
[../]
[]
[AuxVariables]
[./eta]
[./InitialCondition]
type = FunctionIC
function = 'x/2'
[../]
[../]
[./e11_aux]
order = CONSTANT
family = MONOMIAL
[../]
[]
[AuxKernels]
[./matl_e11]
type = RankTwoAux
rank_two_tensor = stress
index_i = 0
index_j = 0
variable = e11_aux
[../]
[]
[Kernels]
[./TensorMechanics]
[../]
[]
[Materials]
[./elasticity_tensor_A]
type = ComputeElasticityTensor
base_name = A
fill_method = symmetric9
C_ijkl = '1e6 1e5 1e5 1e6 0 1e6 .4e6 .2e6 .5e6'
[../]
[./strain_A]
type = ComputeSmallStrain
base_name = A
eigenstrain_names = eigenstrain
[../]
[./stress_A]
type = ComputeLinearElasticStress
base_name = A
[../]
[./eigenstrain_A]
type = ComputeEigenstrain
base_name = A
eigen_base = '0.1 0.05 0 0 0 0.01'
prefactor = -1
eigenstrain_name = eigenstrain
[../]
[./elasticity_tensor_B]
type = ComputeElasticityTensor
base_name = B
fill_method = symmetric9
C_ijkl = '1e6 0 0 1e6 0 1e6 .5e6 .5e6 .5e6'
[../]
[./strain_B]
type = ComputeSmallStrain
base_name = B
eigenstrain_names = 'B_eigenstrain'
[../]
[./stress_B]
type = ComputeLinearElasticStress
base_name = B
[../]
[./eigenstrain_B]
type = ComputeEigenstrain
base_name = B
eigen_base = '0.1 0.05 0 0 0 0.01'
prefactor = -1
eigenstrain_name = 'B_eigenstrain'
[../]
[./switching]
type = SwitchingFunctionMaterial
eta = eta
[../]
[./combined]
type = TwoPhaseStressMaterial
base_A = A
base_B = B
[../]
[]
[BCs]
[./bottom_y]
type = DirichletBC
variable = disp_y
boundary = 'bottom'
value = 0
[../]
[./left_x]
type = DirichletBC
variable = disp_x
boundary = 'left'
value = 0
[../]
[]
[Preconditioning]
[./SMP]
type = SMP
full = true
[../]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
[]
[Outputs]
execute_on = 'timestep_end'
exodus = true
[]
modules/combined/examples/phase_field-mechanics/Nonconserved.i
#
# Example 2
# Phase change driven by a mechanical (elastic) driving force.
# An oversized phase inclusion grows under a uniaxial tensile 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]
[./eta]
order = FIRST
family = LAGRANGE
[./InitialCondition]
type = SmoothCircleIC
x1 = 0
y1 = 0
radius = 30.0
invalue = 1.0
outvalue = 0.0
int_width = 10.0
[../]
[../]
[./disp_x]
order = FIRST
family = LAGRANGE
[../]
[./disp_y]
order = FIRST
family = LAGRANGE
[../]
[]
[Kernels]
[./TensorMechanics]
displacements = 'disp_x disp_y'
[../]
[./eta_bulk]
type = AllenCahn
variable = eta
f_name = F
[../]
[./eta_interface]
type = ACInterface
variable = eta
kappa_name = 1
[../]
[./time]
type = TimeDerivative
variable = eta
[../]
[]
#
# Try visualizing the stress tensor components as done in Conserved.i
#
[Materials]
[./consts]
type = GenericConstantMaterial
block = 0
prop_names = 'L'
prop_values = '1'
[../]
# matrix phase
[./stiffness_a]
type = ComputeElasticityTensor
base_name = phasea
block = 0
# lambda, mu values
C_ijkl = '7 7'
# Stiffness tensor is created from lambda=7, mu=7 for symmetric_isotropic fill method
fill_method = symmetric_isotropic
# See RankFourTensor.h for details on fill methods
[../]
[./strain_a]
type = ComputeSmallStrain
block = 0
displacements = 'disp_x disp_y'
base_name = phasea
[../]
[./stress_a]
type = ComputeLinearElasticStress
block = 0
base_name = phasea
[../]
[./elastic_free_energy_a]
type = ElasticEnergyMaterial
base_name = phasea
f_name = Fea
block = 0
args = ''
[../]
# oversized precipitate phase (simulated using thermal expansion)
[./stiffness_b]
type = ComputeElasticityTensor
base_name = phaseb
block = 0
# Stiffness tensor lambda, mu values
# Note that the two phases could have different stiffnesses.
# Try reducing the precipitate stiffness (to '1 1') rather than making it oversized
C_ijkl = '7 7'
fill_method = symmetric_isotropic
[../]
[./strain_b]
type = ComputeSmallStrain
block = 0
displacements = 'disp_x disp_y'
base_name = phaseb
eigenstrain_names = eigenstrain
[../]
[./eigenstrain_b]
type = ComputeEigenstrain
base_name = phaseb
eigen_base = '0.1 0.1 0.1'
eigenstrain_name = eigenstrain
[../]
[./stress_b]
type = ComputeLinearElasticStress
block = 0
base_name = phaseb
[../]
[./elastic_free_energy_b]
type = ElasticEnergyMaterial
base_name = phaseb
f_name = Feb
block = 0
args = ''
[../]
# Generate the global free energy from the phase free energies
[./switching]
type = SwitchingFunctionMaterial
block = 0
eta = eta
h_order = SIMPLE
[../]
[./barrier]
type = BarrierFunctionMaterial
block = 0
eta = eta
g_order = SIMPLE
[../]
[./free_energy]
type = DerivativeTwoPhaseMaterial
block = 0
f_name = F
fa_name = Fea
fb_name = Feb
eta = eta
args = ''
W = 0.1
derivative_order = 2
[../]
# Generate the global stress from the phase stresses
[./global_stress]
type = TwoPhaseStressMaterial
block = 0
base_A = phasea
base_B = phaseb
[../]
[]
[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]
# 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 = 200
[./TimeStepper]
type = SolutionTimeAdaptiveDT
dt = 0.2
[../]
[]
[Outputs]
execute_on = 'timestep_end'
exodus = true
[]