Visualization of Tensor Components
To visualize stresses, strains, and elasticity tensor components, the material objects must be outputted to auxiliary variables using auxiliary kernels available. RankTwoAux is used to output a RankTwoTensor component, and RankFourAux is used to output a RankFourTensor component.
AuxVariable Creation
As an example, , and can be visualized by first declaring auxiliary variables for them in the input file.
Stress component:
[./s11_aux]
order = CONSTANT
family = MONOMIAL
[../]
Strain component:
[./e22_aux]
order = CONSTANT
family = MONOMIAL
[../]
Elasticity Tensor component:
[./C1133_aux]
order = CONSTANT
family = MONOMIAL
[../]
AuxKernel Creation
Next, the appropriate auxiliary kernels are used. These elements require the name of the material property of which you wish to see the field value and the indices of the tensor value (either 0, 1, or 2) in addition to the name of the output AuxVariable. The corresponding AuxKernels blocks for each of the AuxVariables are given below.
Stress component:
[./matl_s11]
type = RankTwoAux
rank_two_tensor = stress
index_i = 0
index_j = 0
variable = s11_aux
[../]
Strain component:
[./matl_e22]
type = RankTwoAux
rank_two_tensor = stress
index_i = 1
index_j = 1
variable = e22_aux
[../]
Elasticity Tensor component:
[./matl_C1133]
type = RankFourAux
rank_four_tensor = elasticity_tensor
index_i = 0
index_j = 0
index_k = 2
index_l = 2
variable = C1133_aux
execute_on = initial
[../]
See the documentation for RankTwoAux and RankFourAux for more details about the available options for saving quantities from these tensor types.
Postprocessor Usage
To save these values to a CSV file or to the console for further data analysis, the auxiliary variables can be output as postprocessors. A complete list of the Postprocessor System is available in the MOOSE documentation, but the most commonly used option is ElementAverageValue.
(moose/modules/combined/test/tests/eigenstrain/inclusion.i)
# This test allows comparison of simulation and analytical solution for a misfitting precipitate
# using ComputeVariableEigenstrain for the simulation and the InclusionProperties material
# for the analytical solution. Increasing mesh resolution will improve agreement.
[Mesh]
type = GeneratedMesh
dim = 2
nx = 40
ny = 40
xmax = 1.5
ymax = 1.5
elem_type = QUAD4
[]
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Variables]
[./disp_x]
order = FIRST
family = LAGRANGE
[../]
[./disp_y]
order = FIRST
family = LAGRANGE
[../]
[]
[Kernels]
[./TensorMechanics]
[../]
[]
[AuxVariables]
[./s11_aux]
order = CONSTANT
family = MONOMIAL
[../]
[./s12_aux]
order = CONSTANT
family = MONOMIAL
[../]
[./s22_aux]
order = CONSTANT
family = MONOMIAL
[../]
[./s11_an]
order = CONSTANT
family = MONOMIAL
[../]
[./s12_an]
order = CONSTANT
family = MONOMIAL
[../]
[./s22_an]
order = CONSTANT
family = MONOMIAL
[../]
[./e11_aux]
order = CONSTANT
family = MONOMIAL
[../]
[./e12_aux]
order = CONSTANT
family = MONOMIAL
[../]
[./e22_aux]
order = CONSTANT
family = MONOMIAL
[../]
[./e11_an]
order = CONSTANT
family = MONOMIAL
[../]
[./e12_an]
order = CONSTANT
family = MONOMIAL
[../]
[./e22_an]
order = CONSTANT
family = MONOMIAL
[../]
[./fel_an]
order = CONSTANT
family = MONOMIAL
[../]
[./c]
[../]
[]
[AuxKernels]
[./matl_s11]
type = RankTwoAux
rank_two_tensor = stress
index_i = 0
index_j = 0
variable = s11_aux
[../]
[./matl_s12]
type = RankTwoAux
rank_two_tensor = stress
index_i = 0
index_j = 1
variable = s12_aux
[../]
[./matl_s22]
type = RankTwoAux
rank_two_tensor = stress
index_i = 1
index_j = 1
variable = s22_aux
[../]
[./matl_s11_an]
type = RankTwoAux
rank_two_tensor = stress_an
index_i = 0
index_j = 0
variable = s11_an
[../]
[./matl_s12_an]
type = RankTwoAux
rank_two_tensor = stress_an
index_i = 0
index_j = 1
variable = s12_an
[../]
[./matl_s22_an]
type = RankTwoAux
rank_two_tensor = stress_an
index_i = 1
index_j = 1
variable = s22_an
[../]
[./matl_e11]
type = RankTwoAux
rank_two_tensor = total_strain
index_i = 0
index_j = 0
variable = e11_aux
[../]
[./matl_e12]
type = RankTwoAux
rank_two_tensor = total_strain
index_i = 0
index_j = 1
variable = e12_aux
[../]
[./matl_e22]
type = RankTwoAux
rank_two_tensor = total_strain
index_i = 1
index_j = 1
variable = e22_aux
[../]
[./matl_e11_an]
type = RankTwoAux
rank_two_tensor = strain_an
index_i = 0
index_j = 0
variable = e11_an
[../]
[./matl_e12_an]
type = RankTwoAux
rank_two_tensor = strain_an
index_i = 0
index_j = 1
variable = e12_an
[../]
[./matl_e22_an]
type = RankTwoAux
rank_two_tensor = strain_an
index_i = 1
index_j = 1
variable = e22_an
[../]
[./matl_fel_an]
type = MaterialRealAux
variable = fel_an
property = fel_an_mat
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeElasticityTensor
block = 0
C_ijkl = '1 1'
fill_method = symmetric_isotropic
[../]
[./stress]
type = ComputeLinearElasticStress
block = 0
[../]
[./var_dependence]
type = DerivativeParsedMaterial
block = 0
function = 0.005*c^2
args = c
outputs = exodus
output_properties = 'var_dep'
f_name = var_dep
enable_jit = true
derivative_order = 2
[../]
[./eigenstrain]
type = ComputeVariableEigenstrain
block = 0
eigen_base = '1 1 0 0 0 0'
prefactor = var_dep
args = c
eigenstrain_name = eigenstrain
[../]
[./strain]
type = ComputeSmallStrain
block = 0
displacements = 'disp_x disp_y'
eigenstrain_names = eigenstrain
[../]
[./analytical]
type = InclusionProperties
a = 0.1
b = 0.1
lambda = 1
mu = 1
misfit_strains = '0.005 0.005'
strain_name = strain_an
stress_name = stress_an
energy_name = fel_an_mat
[../]
[]
[BCs]
active = 'left_x bottom_y'
[./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
petsc_options_iname = '-pc_type -pc_hypre_type -ksp_gmres_restart'
petsc_options_value = 'hypre boomeramg 31'
l_max_its = 30
nl_max_its = 10
nl_rel_tol = 1.0e-10
[]
[Outputs]
exodus = true
[]
[ICs]
[./c_IC]
int_width = 0.075
x1 = 0
y1 = 0
radius = 0.1
outvalue = 0
variable = c
invalue = 1
type = SmoothCircleIC
[../]
[]
(moose/modules/combined/test/tests/eigenstrain/variable.i)
[Mesh]
type = GeneratedMesh
dim = 2
nx = 20
ny = 20
xmax = 0.5
ymax = 0.5
elem_type = QUAD4
[]
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Variables]
[./disp_x]
order = FIRST
family = LAGRANGE
[../]
[./disp_y]
order = FIRST
family = LAGRANGE
[../]
[]
[Kernels]
[./TensorMechanics]
[../]
[]
[AuxVariables]
[./e11_aux]
order = CONSTANT
family = MONOMIAL
[../]
[./e22_aux]
order = CONSTANT
family = MONOMIAL
[../]
[./c]
[../]
[./eigen_strain00]
order = CONSTANT
family = MONOMIAL
[../]
[]
[AuxKernels]
[./matl_e11]
type = RankTwoAux
rank_two_tensor = stress
index_i = 0
index_j = 0
variable = e11_aux
[../]
[./matl_e22]
type = RankTwoAux
rank_two_tensor = stress
index_i = 1
index_j = 1
variable = e22_aux
[../]
[./eigen_strain00]
type = RankTwoAux
variable = eigen_strain00
rank_two_tensor = eigenstrain
index_j = 0
index_i = 0
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeElasticityTensor
block = 0
C_ijkl = '1 1'
fill_method = symmetric_isotropic
[../]
[./stress]
type = ComputeLinearElasticStress
block = 0
[../]
[./var_dependence]
type = DerivativeParsedMaterial
block = 0
function = 0.5*c^2
args = c
outputs = exodus
output_properties = 'var_dep'
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
args = c
eigenstrain_name = eigenstrain
[../]
[./strain]
type = ComputeSmallStrain
block = 0
displacements = 'disp_x disp_y'
eigenstrain_names = eigenstrain
[../]
[]
[BCs]
active = 'left_x bottom_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 = 0.01
[../]
[]
[Preconditioning]
[./SMP]
type = SMP
full = true
[../]
[]
[Executioner]
type = Steady
solve_type = NEWTON
petsc_options_iname = '-pc_type -pc_hypre_type -ksp_gmres_restart'
petsc_options_value = 'hypre boomeramg 31'
l_max_its = 20
nl_max_its = 10
l_tol = 1.0e-4
nl_rel_tol = 1.0e-10
nl_abs_tol = 1.0e-50
[]
[Outputs]
exodus = true
[]
[ICs]
[./c_IC]
int_width = 0.075
x1 = 0
y1 = 0
radius = 0.25
outvalue = 0
variable = c
invalue = 1
type = SmoothCircleIC
[../]
[]
(moose/modules/tensor_mechanics/test/tests/elasticitytensor/composite.i)
# This input file is designed to test the RankTwoAux and RankFourAux
# auxkernels, which report values out of the Tensors used in materials
# properties.
[Mesh]
type = GeneratedMesh
dim = 1
nx = 20
xmax = 1
[]
[AuxVariables]
[./c]
order = FIRST
family = LAGRANGE
[./InitialCondition]
type = FunctionIC
function = x
[../]
[../]
[./C1111_aux]
order = CONSTANT
family = MONOMIAL
[../]
[./C1122_aux]
order = CONSTANT
family = MONOMIAL
[../]
[./C1133_aux]
order = CONSTANT
family = MONOMIAL
[../]
[./C3313_aux]
order = CONSTANT
family = MONOMIAL
[../]
[./dC1111_aux]
order = CONSTANT
family = MONOMIAL
[../]
[./dC1122_aux]
order = CONSTANT
family = MONOMIAL
[../]
[./dC1133_aux]
order = CONSTANT
family = MONOMIAL
[../]
[./dC3313_aux]
order = CONSTANT
family = MONOMIAL
[../]
[./d2C1111_aux]
order = CONSTANT
family = MONOMIAL
[../]
[./d2C1122_aux]
order = CONSTANT
family = MONOMIAL
[../]
[./d2C1133_aux]
order = CONSTANT
family = MONOMIAL
[../]
[./d2C3313_aux]
order = CONSTANT
family = MONOMIAL
[../]
[]
#[Kernels]
# [./diff]
# type = Diffusion
# variable = diffused
# [../]
#[]
[AuxKernels]
[./matl_C1111]
type = RankFourAux
rank_four_tensor = elasticity_tensor
index_i = 0
index_j = 0
index_k = 0
index_l = 0
variable = C1111_aux
execute_on = initial
[../]
[./matl_C1122]
type = RankFourAux
rank_four_tensor = elasticity_tensor
index_i = 0
index_j = 0
index_k = 1
index_l = 1
variable = C1122_aux
execute_on = initial
[../]
[./matl_C1133]
type = RankFourAux
rank_four_tensor = elasticity_tensor
index_i = 0
index_j = 0
index_k = 2
index_l = 2
variable = C1133_aux
execute_on = initial
[../]
[./matl_C3313]
type = RankFourAux
rank_four_tensor = elasticity_tensor
index_i = 2
index_j = 2
index_k = 0
index_l = 2
variable = C3313_aux
execute_on = initial
[../]
[./matl_dC1111]
type = RankFourAux
rank_four_tensor = delasticity_tensor/dc
index_i = 0
index_j = 0
index_k = 0
index_l = 0
variable = dC1111_aux
execute_on = initial
[../]
[./matl_dC1122]
type = RankFourAux
rank_four_tensor = delasticity_tensor/dc
index_i = 0
index_j = 0
index_k = 1
index_l = 1
variable = dC1122_aux
execute_on = initial
[../]
[./matl_dC1133]
type = RankFourAux
rank_four_tensor = delasticity_tensor/dc
index_i = 0
index_j = 0
index_k = 2
index_l = 2
variable = dC1133_aux
execute_on = initial
[../]
[./matl_dC3313]
type = RankFourAux
rank_four_tensor = delasticity_tensor/dc
index_i = 2
index_j = 2
index_k = 0
index_l = 2
variable = dC3313_aux
execute_on = initial
[../]
[./matl_d2C1111]
type = RankFourAux
rank_four_tensor = d^2elasticity_tensor/dc^2
index_i = 0
index_j = 0
index_k = 0
index_l = 0
variable = d2C1111_aux
execute_on = initial
[../]
[./matl_d2C1122]
type = RankFourAux
rank_four_tensor = d^2elasticity_tensor/dc^2
index_i = 0
index_j = 0
index_k = 1
index_l = 1
variable = d2C1122_aux
execute_on = initial
[../]
[./matl_d2C1133]
type = RankFourAux
rank_four_tensor = d^2elasticity_tensor/dc^2
index_i = 0
index_j = 0
index_k = 2
index_l = 2
variable = d2C1133_aux
execute_on = initial
[../]
[./matl_d2C3313]
type = RankFourAux
rank_four_tensor = d^2elasticity_tensor/dc^2
index_i = 2
index_j = 2
index_k = 0
index_l = 2
variable = d2C3313_aux
execute_on = initial
[../]
[]
[Materials]
[./Ca]
type = ComputeElasticityTensor
base_name = Ca
block = 0
fill_method = symmetric21
C_ijkl ='1111 .1122 1133 1123 1113 1112 2222 2233 2223 2213 2212 3333 3323 3313 3312 2323 2313 2312 1313 1312 1212'
[../]
[./Cb]
type = ComputeElasticityTensor
base_name = Cb
block = 0
fill_method = symmetric21
C_ijkl ='.1111 1122 .1133 .1123 .1113 .1112 .2222 .2233 .2223 .2213 .2212 .3333 .3323 .3313 .3312 .2323 .2313 .2312 .1313 .1312 .1212'
[../]
[./Fa]
type = DerivativeParsedMaterial
block = 0
f_name = Fa
function = c^2
args = c
[../]
[./Fb]
type = DerivativeParsedMaterial
block = 0
f_name = Fb
function = (1-c)^3
args = c
[../]
[./C]
type = CompositeElasticityTensor
block = 0
args = c
tensors = 'Ca Cb'
weights = 'Fa Fb'
[../]
[]
[Problem]
kernel_coverage_check = false
solve = false
[]
[Executioner]
type = Steady
[]
[Outputs]
exodus = true
[]
(moose/modules/combined/test/tests/eigenstrain/inclusion.i)
# This test allows comparison of simulation and analytical solution for a misfitting precipitate
# using ComputeVariableEigenstrain for the simulation and the InclusionProperties material
# for the analytical solution. Increasing mesh resolution will improve agreement.
[Mesh]
type = GeneratedMesh
dim = 2
nx = 40
ny = 40
xmax = 1.5
ymax = 1.5
elem_type = QUAD4
[]
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Variables]
[./disp_x]
order = FIRST
family = LAGRANGE
[../]
[./disp_y]
order = FIRST
family = LAGRANGE
[../]
[]
[Kernels]
[./TensorMechanics]
[../]
[]
[AuxVariables]
[./s11_aux]
order = CONSTANT
family = MONOMIAL
[../]
[./s12_aux]
order = CONSTANT
family = MONOMIAL
[../]
[./s22_aux]
order = CONSTANT
family = MONOMIAL
[../]
[./s11_an]
order = CONSTANT
family = MONOMIAL
[../]
[./s12_an]
order = CONSTANT
family = MONOMIAL
[../]
[./s22_an]
order = CONSTANT
family = MONOMIAL
[../]
[./e11_aux]
order = CONSTANT
family = MONOMIAL
[../]
[./e12_aux]
order = CONSTANT
family = MONOMIAL
[../]
[./e22_aux]
order = CONSTANT
family = MONOMIAL
[../]
[./e11_an]
order = CONSTANT
family = MONOMIAL
[../]
[./e12_an]
order = CONSTANT
family = MONOMIAL
[../]
[./e22_an]
order = CONSTANT
family = MONOMIAL
[../]
[./fel_an]
order = CONSTANT
family = MONOMIAL
[../]
[./c]
[../]
[]
[AuxKernels]
[./matl_s11]
type = RankTwoAux
rank_two_tensor = stress
index_i = 0
index_j = 0
variable = s11_aux
[../]
[./matl_s12]
type = RankTwoAux
rank_two_tensor = stress
index_i = 0
index_j = 1
variable = s12_aux
[../]
[./matl_s22]
type = RankTwoAux
rank_two_tensor = stress
index_i = 1
index_j = 1
variable = s22_aux
[../]
[./matl_s11_an]
type = RankTwoAux
rank_two_tensor = stress_an
index_i = 0
index_j = 0
variable = s11_an
[../]
[./matl_s12_an]
type = RankTwoAux
rank_two_tensor = stress_an
index_i = 0
index_j = 1
variable = s12_an
[../]
[./matl_s22_an]
type = RankTwoAux
rank_two_tensor = stress_an
index_i = 1
index_j = 1
variable = s22_an
[../]
[./matl_e11]
type = RankTwoAux
rank_two_tensor = total_strain
index_i = 0
index_j = 0
variable = e11_aux
[../]
[./matl_e12]
type = RankTwoAux
rank_two_tensor = total_strain
index_i = 0
index_j = 1
variable = e12_aux
[../]
[./matl_e22]
type = RankTwoAux
rank_two_tensor = total_strain
index_i = 1
index_j = 1
variable = e22_aux
[../]
[./matl_e11_an]
type = RankTwoAux
rank_two_tensor = strain_an
index_i = 0
index_j = 0
variable = e11_an
[../]
[./matl_e12_an]
type = RankTwoAux
rank_two_tensor = strain_an
index_i = 0
index_j = 1
variable = e12_an
[../]
[./matl_e22_an]
type = RankTwoAux
rank_two_tensor = strain_an
index_i = 1
index_j = 1
variable = e22_an
[../]
[./matl_fel_an]
type = MaterialRealAux
variable = fel_an
property = fel_an_mat
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeElasticityTensor
block = 0
C_ijkl = '1 1'
fill_method = symmetric_isotropic
[../]
[./stress]
type = ComputeLinearElasticStress
block = 0
[../]
[./var_dependence]
type = DerivativeParsedMaterial
block = 0
function = 0.005*c^2
args = c
outputs = exodus
output_properties = 'var_dep'
f_name = var_dep
enable_jit = true
derivative_order = 2
[../]
[./eigenstrain]
type = ComputeVariableEigenstrain
block = 0
eigen_base = '1 1 0 0 0 0'
prefactor = var_dep
args = c
eigenstrain_name = eigenstrain
[../]
[./strain]
type = ComputeSmallStrain
block = 0
displacements = 'disp_x disp_y'
eigenstrain_names = eigenstrain
[../]
[./analytical]
type = InclusionProperties
a = 0.1
b = 0.1
lambda = 1
mu = 1
misfit_strains = '0.005 0.005'
strain_name = strain_an
stress_name = stress_an
energy_name = fel_an_mat
[../]
[]
[BCs]
active = 'left_x bottom_y'
[./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
petsc_options_iname = '-pc_type -pc_hypre_type -ksp_gmres_restart'
petsc_options_value = 'hypre boomeramg 31'
l_max_its = 30
nl_max_its = 10
nl_rel_tol = 1.0e-10
[]
[Outputs]
exodus = true
[]
[ICs]
[./c_IC]
int_width = 0.075
x1 = 0
y1 = 0
radius = 0.1
outvalue = 0
variable = c
invalue = 1
type = SmoothCircleIC
[../]
[]
(moose/modules/combined/test/tests/eigenstrain/variable.i)
[Mesh]
type = GeneratedMesh
dim = 2
nx = 20
ny = 20
xmax = 0.5
ymax = 0.5
elem_type = QUAD4
[]
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Variables]
[./disp_x]
order = FIRST
family = LAGRANGE
[../]
[./disp_y]
order = FIRST
family = LAGRANGE
[../]
[]
[Kernels]
[./TensorMechanics]
[../]
[]
[AuxVariables]
[./e11_aux]
order = CONSTANT
family = MONOMIAL
[../]
[./e22_aux]
order = CONSTANT
family = MONOMIAL
[../]
[./c]
[../]
[./eigen_strain00]
order = CONSTANT
family = MONOMIAL
[../]
[]
[AuxKernels]
[./matl_e11]
type = RankTwoAux
rank_two_tensor = stress
index_i = 0
index_j = 0
variable = e11_aux
[../]
[./matl_e22]
type = RankTwoAux
rank_two_tensor = stress
index_i = 1
index_j = 1
variable = e22_aux
[../]
[./eigen_strain00]
type = RankTwoAux
variable = eigen_strain00
rank_two_tensor = eigenstrain
index_j = 0
index_i = 0
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeElasticityTensor
block = 0
C_ijkl = '1 1'
fill_method = symmetric_isotropic
[../]
[./stress]
type = ComputeLinearElasticStress
block = 0
[../]
[./var_dependence]
type = DerivativeParsedMaterial
block = 0
function = 0.5*c^2
args = c
outputs = exodus
output_properties = 'var_dep'
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
args = c
eigenstrain_name = eigenstrain
[../]
[./strain]
type = ComputeSmallStrain
block = 0
displacements = 'disp_x disp_y'
eigenstrain_names = eigenstrain
[../]
[]
[BCs]
active = 'left_x bottom_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 = 0.01
[../]
[]
[Preconditioning]
[./SMP]
type = SMP
full = true
[../]
[]
[Executioner]
type = Steady
solve_type = NEWTON
petsc_options_iname = '-pc_type -pc_hypre_type -ksp_gmres_restart'
petsc_options_value = 'hypre boomeramg 31'
l_max_its = 20
nl_max_its = 10
l_tol = 1.0e-4
nl_rel_tol = 1.0e-10
nl_abs_tol = 1.0e-50
[]
[Outputs]
exodus = true
[]
[ICs]
[./c_IC]
int_width = 0.075
x1 = 0
y1 = 0
radius = 0.25
outvalue = 0
variable = c
invalue = 1
type = SmoothCircleIC
[../]
[]
(moose/modules/tensor_mechanics/test/tests/elasticitytensor/composite.i)
# This input file is designed to test the RankTwoAux and RankFourAux
# auxkernels, which report values out of the Tensors used in materials
# properties.
[Mesh]
type = GeneratedMesh
dim = 1
nx = 20
xmax = 1
[]
[AuxVariables]
[./c]
order = FIRST
family = LAGRANGE
[./InitialCondition]
type = FunctionIC
function = x
[../]
[../]
[./C1111_aux]
order = CONSTANT
family = MONOMIAL
[../]
[./C1122_aux]
order = CONSTANT
family = MONOMIAL
[../]
[./C1133_aux]
order = CONSTANT
family = MONOMIAL
[../]
[./C3313_aux]
order = CONSTANT
family = MONOMIAL
[../]
[./dC1111_aux]
order = CONSTANT
family = MONOMIAL
[../]
[./dC1122_aux]
order = CONSTANT
family = MONOMIAL
[../]
[./dC1133_aux]
order = CONSTANT
family = MONOMIAL
[../]
[./dC3313_aux]
order = CONSTANT
family = MONOMIAL
[../]
[./d2C1111_aux]
order = CONSTANT
family = MONOMIAL
[../]
[./d2C1122_aux]
order = CONSTANT
family = MONOMIAL
[../]
[./d2C1133_aux]
order = CONSTANT
family = MONOMIAL
[../]
[./d2C3313_aux]
order = CONSTANT
family = MONOMIAL
[../]
[]
#[Kernels]
# [./diff]
# type = Diffusion
# variable = diffused
# [../]
#[]
[AuxKernels]
[./matl_C1111]
type = RankFourAux
rank_four_tensor = elasticity_tensor
index_i = 0
index_j = 0
index_k = 0
index_l = 0
variable = C1111_aux
execute_on = initial
[../]
[./matl_C1122]
type = RankFourAux
rank_four_tensor = elasticity_tensor
index_i = 0
index_j = 0
index_k = 1
index_l = 1
variable = C1122_aux
execute_on = initial
[../]
[./matl_C1133]
type = RankFourAux
rank_four_tensor = elasticity_tensor
index_i = 0
index_j = 0
index_k = 2
index_l = 2
variable = C1133_aux
execute_on = initial
[../]
[./matl_C3313]
type = RankFourAux
rank_four_tensor = elasticity_tensor
index_i = 2
index_j = 2
index_k = 0
index_l = 2
variable = C3313_aux
execute_on = initial
[../]
[./matl_dC1111]
type = RankFourAux
rank_four_tensor = delasticity_tensor/dc
index_i = 0
index_j = 0
index_k = 0
index_l = 0
variable = dC1111_aux
execute_on = initial
[../]
[./matl_dC1122]
type = RankFourAux
rank_four_tensor = delasticity_tensor/dc
index_i = 0
index_j = 0
index_k = 1
index_l = 1
variable = dC1122_aux
execute_on = initial
[../]
[./matl_dC1133]
type = RankFourAux
rank_four_tensor = delasticity_tensor/dc
index_i = 0
index_j = 0
index_k = 2
index_l = 2
variable = dC1133_aux
execute_on = initial
[../]
[./matl_dC3313]
type = RankFourAux
rank_four_tensor = delasticity_tensor/dc
index_i = 2
index_j = 2
index_k = 0
index_l = 2
variable = dC3313_aux
execute_on = initial
[../]
[./matl_d2C1111]
type = RankFourAux
rank_four_tensor = d^2elasticity_tensor/dc^2
index_i = 0
index_j = 0
index_k = 0
index_l = 0
variable = d2C1111_aux
execute_on = initial
[../]
[./matl_d2C1122]
type = RankFourAux
rank_four_tensor = d^2elasticity_tensor/dc^2
index_i = 0
index_j = 0
index_k = 1
index_l = 1
variable = d2C1122_aux
execute_on = initial
[../]
[./matl_d2C1133]
type = RankFourAux
rank_four_tensor = d^2elasticity_tensor/dc^2
index_i = 0
index_j = 0
index_k = 2
index_l = 2
variable = d2C1133_aux
execute_on = initial
[../]
[./matl_d2C3313]
type = RankFourAux
rank_four_tensor = d^2elasticity_tensor/dc^2
index_i = 2
index_j = 2
index_k = 0
index_l = 2
variable = d2C3313_aux
execute_on = initial
[../]
[]
[Materials]
[./Ca]
type = ComputeElasticityTensor
base_name = Ca
block = 0
fill_method = symmetric21
C_ijkl ='1111 .1122 1133 1123 1113 1112 2222 2233 2223 2213 2212 3333 3323 3313 3312 2323 2313 2312 1313 1312 1212'
[../]
[./Cb]
type = ComputeElasticityTensor
base_name = Cb
block = 0
fill_method = symmetric21
C_ijkl ='.1111 1122 .1133 .1123 .1113 .1112 .2222 .2233 .2223 .2213 .2212 .3333 .3323 .3313 .3312 .2323 .2313 .2312 .1313 .1312 .1212'
[../]
[./Fa]
type = DerivativeParsedMaterial
block = 0
f_name = Fa
function = c^2
args = c
[../]
[./Fb]
type = DerivativeParsedMaterial
block = 0
f_name = Fb
function = (1-c)^3
args = c
[../]
[./C]
type = CompositeElasticityTensor
block = 0
args = c
tensors = 'Ca Cb'
weights = 'Fa Fb'
[../]
[]
[Problem]
kernel_coverage_check = false
solve = false
[]
[Executioner]
type = Steady
[]
[Outputs]
exodus = true
[]