Ordinary State-based Peridynamic Variable Horizon Small Strain Material

Description

The ComputeSmallStrainVariableHorizonMaterialOSPD Material calculates the parameters used in ordinary state-based peridynamic mechanics model for the case of irregular non-uniform spatial discretization. For more details on ordinary state-based peridynamic mechanics model for irregular non-uniform spatial discretization, refer to Peridynamic Models page and Ref. (Hu et al., 2018).

Input Parameters

displacementsNonlinear variable name for the displacements
C++ Type:std::vector<VariableName>
Unit:(no unit assumed)
Controllable:No
Description:Nonlinear variable name for the displacements

Required Parameters

blockThe list of blocks (ids or names) that this object will be applied
C++ Type:std::vector<SubdomainName>
Unit:(no unit assumed)
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>
Unit:(no unit assumed)
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
Unit:(no unit assumed)
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
Unit:(no unit assumed)
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
Unit:(no unit assumed)
Controllable:No
Description:An optional suffix parameter that can be appended to any declared properties. The suffix will be prepended with a '_' character.
plane_stressFalsePlane stress problem or not
Default:False
C++ Type:bool
Unit:(no unit assumed)
Controllable:No
Description:Plane stress problem or not
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
Unit:(no unit assumed)
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.
scalar_out_of_plane_strainScalar variable for strain in the out-of-plane direction
C++ Type:std::vector<VariableName>
Unit:(no unit assumed)
Controllable:No
Description:Scalar variable for strain in the out-of-plane direction
stress_free_temperatureStress free temperature
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:Stress free temperature
temperatureNonlinear variable name for the temperature
C++ Type:std::vector<VariableName>
Unit:(no unit assumed)
Controllable:No
Description:Nonlinear variable name for the temperature
thermal_expansion_coeffValue of material thermal expansion coefficient
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:Value of material thermal expansion coefficient
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
Unit:(no unit assumed)
Controllable:No
Description:For the old and older state use projected material properties interpolated at the quadrature points. To set up projection use the ProjectedStatefulMaterialStorageAction.

Optional Parameters

control_tagsAdds user-defined labels for accessing object parameters via control logic.
C++ Type:std::vector<std::string>
Unit:(no unit assumed)
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
Unit:(no unit assumed)
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
Unit:(no unit assumed)
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
Unit:(no unit assumed)
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
Unit:(no unit assumed)
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>
Unit:(no unit assumed)
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>
Unit:(no unit assumed)
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/peridynamics/test/tests/generalized_plane_strain/generalized_plane_strain_squares_OSPD.i)
(modules/peridynamics/test/tests/simple_tests/2D_regularD_variableH_OSPD.i)
(modules/peridynamics/test/tests/simple_tests/2D_irregularD_variableH_OSPD.i)
(modules/peridynamics/test/tests/generalized_plane_strain/generalized_plane_strain_OSPD.i)

References

Yile Hu, Hailong Chen, Benjamin W. Spencer, and Erdogan Madenci. Thermomechanical peridynamic analysis with irregular non-uniform domain discretization. Engineering Fracture Mechanics, 2018. URL: https://doi.org/10.1016/j.engfracmech.2018.02.006, doi:10.1016/j.engfracmech.2018.02.006.

@article{Hu2018irregular,
    author = "Hu, Yile and Chen, Hailong and Spencer, Benjamin W. and Madenci, Erdogan",
    title = "Thermomechanical peridynamic analysis with irregular non-uniform domain discretization",
    journal = "Engineering Fracture Mechanics",
    year = "2018",
    issn = "0013-7944",
    doi = "10.1016/j.engfracmech.2018.02.006",
    url = "https://doi.org/10.1016/j.engfracmech.2018.02.006"
}

(modules/peridynamics/test/tests/generalized_plane_strain/generalized_plane_strain_squares_OSPD.i)

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Mesh]
  type = PeridynamicsMesh
  horizon_number = 3

  [fmg]
    type = FileMeshGenerator
    file = squares.e
  []
  [gpd]
    type = MeshGeneratorPD
    input = fmg
    retain_fe_mesh = false
  []
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []

  [scalar_strain_zz1]
    order = FIRST
    family = SCALAR
  []
  [scalar_strain_zz2]
    order = FIRST
    family = SCALAR
  []
[]

[AuxVariables]
  [temp]
    order = FIRST
    family = LAGRANGE
  []

  [stress_zz1]
    order = FIRST
    family = LAGRANGE
  []
  [stress_zz2]
    order = FIRST
    family = LAGRANGE
  []
[]

[Modules/Peridynamics/Mechanics]
  [Master]
    [block1]
      formulation = ORDINARY_STATE
      block = 1001
    []
    [block2]
      formulation = ORDINARY_STATE
      block = 1002
    []
  []
  [GeneralizedPlaneStrain]
    [block1]
      formulation = ORDINARY_STATE
      scalar_out_of_plane_strain = scalar_strain_zz1
      out_of_plane_stress_variable = stress_zz1
      block = 1001
    []
    [block2]
      formulation = ORDINARY_STATE
      scalar_out_of_plane_strain = scalar_strain_zz2
      out_of_plane_stress_variable = stress_zz2
      block = 1002
    []
  []
[]

[AuxKernels]
  [tempfuncaux]
    type = FunctionAux
    variable = temp
    function = tempfunc
    use_displaced_mesh = false
  []

  [stress_zz1]
    type = NodalRankTwoPD
    variable = stress_zz1
    rank_two_tensor = stress
    scalar_out_of_plane_strain = scalar_strain_zz1

    poissons_ratio = 0.3
    youngs_modulus = 1e6
    temperature = temp
    thermal_expansion_coeff = 0.02
    stress_free_temperature = 0.5

    output_type = component
    index_i = 2
    index_j = 2
    block = 1001
  []

  [stress_zz2]
    type = NodalRankTwoPD
    variable = stress_zz2
    scalar_out_of_plane_strain = scalar_strain_zz2

    poissons_ratio = 0.3
    youngs_modulus = 1e6
    temperature = temp
    thermal_expansion_coeff = 0.02
    stress_free_temperature = 0.5

    rank_two_tensor = stress
    output_type = component
    index_i = 2
    index_j = 2
    block = 1002
  []
[]

[Postprocessors]
  [react_z1]
    type = NodalVariableIntegralPD
    variable = stress_zz1
    block = 1001
  []
  [react_z2]
    type = NodalVariableIntegralPD
    variable = stress_zz2
    block = 1002
  []
[]

[Functions]
  [tempfunc]
    type = ParsedFunction
    expression = '(1-x)*t'
  []
[]

[BCs]
  [bottom1_x]
    type = DirichletBC
    boundary = 1001
    variable = disp_x
    value = 0.0
  []
  [bottom1_y]
    type = DirichletBC
    boundary = 1001
    variable = disp_y
    value = 0.0
  []

  [bottom2_x]
    type = DirichletBC
    boundary = 1002
    variable = disp_x
    value = 0.0
  []
  [bottom2_y]
    type = DirichletBC
    boundary = 1002
    variable = disp_y
    value = 0.0
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    poissons_ratio = 0.3
    youngs_modulus = 1e6
    block = '1001 1002'
  []

  [force_density1]
    type = ComputeSmallStrainVariableHorizonMaterialOSPD
    temperature = temp
    thermal_expansion_coeff = 0.02
    stress_free_temperature = 0.5
    scalar_out_of_plane_strain = scalar_strain_zz1
    block = 1001
  []
  [force_density2]
    type = ComputeSmallStrainVariableHorizonMaterialOSPD
    temperature = temp
    thermal_expansion_coeff = 0.02
    stress_free_temperature = 0.5
    scalar_out_of_plane_strain = scalar_strain_zz2
    block = 1002
  []
[]

[Preconditioning]
  [SMP]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient

  solve_type = PJFNK
  line_search = none

  l_tol = 1e-8
  nl_rel_tol = 1e-15
  nl_abs_tol = 1e-09

  start_time = 0.0
  end_time = 1.0

  use_pre_SMO_residual = true
[]

[Outputs]
  exodus = true
  file_base = generalized_plane_strain_squares_OSPD
[]

(modules/peridynamics/test/tests/simple_tests/2D_regularD_variableH_OSPD.i)

# Test for ordinary state-based peridynamic formulation
# for regular grid from generated mesh with varying bond constants
# partial Jacobian
# Jacobian from bond-based formulation is used for preconditioning

# Square plate with Dirichlet boundary conditions applied
# at the left, top and bottom edges

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Mesh]
  type = PeridynamicsMesh
  horizon_number = 3

  [./gmg]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 4
    ny = 4
  [../]
  [./gpd]
    type = MeshGeneratorPD
    input = gmg
    retain_fe_mesh = false
  [../]
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
[]

[BCs]
  [./left_x]
    type = DirichletBC
    variable = disp_x
    boundary = 1003
    value = 0.0
  [../]
  [./top_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1002
    value = 0.0
  [../]
  [./bottom_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 1000
    function = '-0.001*t'
  [../]
[]

[Modules/Peridynamics/Mechanics/Master]
  [./all]
    formulation = ORDINARY_STATE
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 2e5
    poissons_ratio = 0.0
  [../]

  [./force_density]
    type = ComputeSmallStrainVariableHorizonMaterialOSPD
  [../]
[]

[Preconditioning]
  [./SMP]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient
  solve_type = PJFNK
  line_search = none
  start_time = 0
  end_time = 1
[]

[Outputs]
  file_base = 2D_regularD_variableH_OSPD
  exodus = true
[]

(modules/peridynamics/test/tests/simple_tests/2D_irregularD_variableH_OSPD.i)

# Test for ordinary state-based peridynamic formulation
# for irregular grid from file mesh with varying bond constants
# partial Jacobian
# Jacobian from bond-based formulation is used for preconditioning

# Square plate with Dirichlet boundary conditions applied
# at the left, top and bottom edges

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Mesh]
  type = PeridynamicsMesh
  horizon_number = 3

  [./fmg]
    type = FileMeshGenerator
    file = square.e
  [../]
  [./gpd]
    type = MeshGeneratorPD
    input = fmg
    retain_fe_mesh = false
  [../]
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
[]

[BCs]
  [./left_x]
    type = DirichletBC
    variable = disp_x
    boundary = 1001
    value = 0.0
  [../]
  [./top_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1004
    value = 0.0
  [../]
  [./bottom_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 1002
    function = '-0.001 * t'
  [../]
[]

[Modules/Peridynamics/Mechanics/Master]
  [./all]
    formulation = ORDINARY_STATE
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 2e5
    poissons_ratio = 0.0
  [../]

  [./force_density]
    type = ComputeSmallStrainVariableHorizonMaterialOSPD
  [../]
[]

[Preconditioning]
  [./SMP]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient
  solve_type = PJFNK
  line_search = none
  start_time = 0
  end_time = 1
[]

[Outputs]
  file_base = 2D_irregularD_variableH_OSPD
  exodus = true
[]

(modules/peridynamics/test/tests/generalized_plane_strain/generalized_plane_strain_OSPD.i)

[GlobalParams]
  displacements = 'disp_x disp_y'
  scalar_out_of_plane_strain = scalar_strain_zz
[]

[Mesh]
  type = PeridynamicsMesh
  horizon_number = 3

  [gmg]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 4
    ny = 4
  []
  [gpd]
    type = MeshGeneratorPD
    input = gmg
    retain_fe_mesh = false
  []
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
  [scalar_strain_zz]
    order = FIRST
    family = SCALAR
  []
[]

[AuxVariables]
  [temp]
    order = FIRST
    family = LAGRANGE
  []

  [stress_zz]
    order = FIRST
    family = LAGRANGE
  []
[]

[Modules/Peridynamics/Mechanics]
  [Master]
    [all]
      formulation = ORDINARY_STATE
    []
  []
  [GeneralizedPlaneStrain]
    [all]
      formulation = ORDINARY_STATE
      out_of_plane_stress_variable = stress_zz
    []
  []
[]

[AuxKernels]
  [tempfuncaux]
    type = FunctionAux
    variable = temp
    function = tempfunc
    use_displaced_mesh = false
  []

  [stress_zz]
    type = NodalRankTwoPD
    variable = stress_zz

    poissons_ratio = 0.3
    youngs_modulus = 1e6
    temperature = temp
    thermal_expansion_coeff = 0.02
    stress_free_temperature = 0.5

    rank_two_tensor = stress
    output_type = component
    index_i = 2
    index_j = 2
  []
[]

[Postprocessors]
  [react_z]
    type = NodalVariableIntegralPD
    variable = stress_zz
  []
[]

[Functions]
  [tempfunc]
    type = ParsedFunction
    expression = '(1-x)*t'
  []
[]

[BCs]
  [bottom_x]
    type = DirichletBC
    boundary = 1000
    variable = disp_x
    value = 0.0
  []
  [bottom_y]
    type = DirichletBC
    boundary = 1000
    variable = disp_y
    value = 0.0
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    poissons_ratio = 0.3
    youngs_modulus = 1e6
  []

  [force_density]
    type = ComputeSmallStrainVariableHorizonMaterialOSPD
    temperature = temp
    thermal_expansion_coeff = 0.02
    stress_free_temperature = 0.5
  []
[]

[Preconditioning]
  [SMP]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient

  solve_type = PJFNK
  line_search = none

  nl_rel_tol = 1e-15
  nl_abs_tol = 1e-09

  start_time = 0.0
  end_time = 1.0

  use_pre_SMO_residual = true
[]

[Outputs]
  exodus = true
  file_base = generalized_plane_strain_OSPD
[]

Description
Input Parameters
Input Files
References