Composite Elasticity Tensor

Assemble an elasticity tensor from multiple tensor contributions weighted by material properties

Description

CompositeElasticityTensor calculates a simple Rank-4 tensor that can be used as an Elasticity tensor in a mechanics simulation. This tensor is computed as a weighted sum of base elasticity tensors, as shown in Eq. (1), where each weight can be a scalar material property that may depend on simulation variables. $(1)var element = document.getElementById("moose-equation-0d01aa0f-b36d-49c8-a033-bb3bc7dc8e98");katex.render(" \\boldsymbol{T}^{composite} = \\sum_n w_n \\cdot \\boldsymbol{T}_n", element, {displayMode:true,throwOnError:false});$ where $var element = document.getElementById("moose-equation-c3724b82-3345-4970-8011-e4152f852f8a");katex.render("\\boldsymbol{T}", element, {displayMode:false,throwOnError:false});$ is a Rank-4 tensor and $var element = document.getElementById("moose-equation-1e3d35dc-f1db-4b7e-9418-cb71d5a12ad3");katex.render("w", element, {displayMode:false,throwOnError:false});$ is the weighting factor for each Rank-4 tensor.

Example Input File Syntax

[./C]
  type = CompositeElasticityTensor
  block = 0
  args = c
  tensors = 'Ca Cb'
  weights = 'Fa Fb'
[../]

Input Parameters

coupled_variablesvariable dependencies for the prefactor
C++ Type:std::vector<VariableName>
Controllable:No
Description:variable dependencies for the prefactor
tensorsComponent tensors
C++ Type:std::vector<MaterialPropertyName>
Controllable:No
Description:Component tensors
weightsComponent weights
C++ Type:std::vector<MaterialPropertyName>
Controllable:No
Description:Component weights

Required Parameters

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

Optional Parameters

control_tagsAdds user-defined labels for accessing object parameters via control logic.
C++ Type:std::vector<std::string>
Controllable:No
Description:Adds user-defined labels for accessing object parameters via control logic.
enableTrueSet the enabled status of the MooseObject.
Default:True
C++ Type:bool
Controllable:Yes
Description:Set the enabled status of the MooseObject.
implicitTrueDetermines whether this object is calculated using an implicit or explicit form
Default:True
C++ Type:bool
Controllable:No
Description:Determines whether this object is calculated using an implicit or explicit form
seed0The seed for the master random number generator
Default:0
C++ Type:unsigned int
Controllable:No
Description:The seed for the master random number generator
use_displaced_meshFalseWhether or not this object should use the displaced mesh for computation. Note that in the case this is true but no displacements are provided in the Mesh block the undisplaced mesh will still be used.
Default:False
C++ Type:bool
Controllable:No
Description:Whether or not this object should use the displaced mesh for computation. Note that in the case this is true but no displacements are provided in the Mesh block the undisplaced mesh will still be used.

Advanced Parameters

output_propertiesList of material properties, from this material, to output (outputs must also be defined to an output type)
C++ Type:std::vector<std::string>
Controllable:No
Description:List of material properties, from this material, to output (outputs must also be defined to an output type)
outputsnone Vector of output names where you would like to restrict the output of variables(s) associated with this object
Default:none
C++ Type:std::vector<OutputName>
Controllable:No
Description:Vector of output names where you would like to restrict the output of variables(s) associated with this object

Outputs Parameters

(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
    property_name = Fa
    expression = c^2
    coupled_variables = c
  [../]
  [./Fb]
    type = DerivativeParsedMaterial
    block = 0
    property_name = Fb
    expression = (1-c)^3
    coupled_variables = 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
[]