WeakPlaneStress

Plane stress kernel to provide out-of-plane strain contribution.

Description

In 2D plane stress conditions, the out-of-plane stress is zero. The WeakPlaneStress kernel operates on an out-of-plane strain variable and computes the following residual: $var element = document.getElementById("moose-equation-8f625a92-0520-4d23-a176-5f544c73f38a");katex.render(" \\int \\phi \\; \\sigma_{zz} \\; \\textrm{dV}.", element, {displayMode:true,throwOnError:false,macros:{"\\pf":"\\frac{\\partial #1}{\\partial #2}"}});$ Thus, the out-of-plane stress is driven toward zero but may not be strictly zero everywhere. The computed out-of-plane strain may vary at different points on the plane.

For finite deformation models, this kernel should be run on the displaced mesh by setting use_displaced_mesh = true.

Input Parameters

variableThe name of the variable that this Kernel operates on
C++ Type:NonlinearVariableName
Options:
Description:The name of the variable that this Kernel operates on

Required Parameters

base_nameMaterial property base name
C++ Type:std::string
Options:
Description:Material property base name
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
displacementsThe string of displacements suitable for the problem statement
C++ Type:std::vector
Options:
Description:The string of displacements suitable for the problem statement
out_of_plane_strain_directionzThe direction of the out-of-plane strain variable
Default:z
C++ Type:MooseEnum
Options:x y z
Description:The direction of the out-of-plane strain variable
temperatureThe name of the temperature variable used in the ComputeThermalExpansionEigenstrain. (Not required for simulations without temperature coupling.)
C++ Type:std::vector
Options:
Description:The name of the temperature variable used in the ComputeThermalExpansionEigenstrain. (Not required for simulations without temperature coupling.)
thermal_eigenstrain_namethermal_eigenstrainThe eigenstrain_name used in the ComputeThermalExpansionEigenstrain.
Default:thermal_eigenstrain
C++ Type:std::string
Options:
Description:The eigenstrain_name used in the ComputeThermalExpansionEigenstrain.

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.
diag_save_inThe name of auxiliary variables to save this Kernel's diagonal Jacobian contributions to. Everything about that variable must match everything about this variable (the type, what blocks it's on, etc.)
C++ Type:std::vector
Options:
Description:The name of auxiliary variables to save this Kernel's diagonal Jacobian contributions to. Everything about that variable must match everything about this variable (the type, what blocks it's on, etc.)
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
save_inThe name of auxiliary variables to save this Kernel's residual contributions to. Everything about that variable must match everything about this variable (the type, what blocks it's on, etc.)
C++ Type:std::vector
Options:
Description:The name of auxiliary variables to save this Kernel's residual contributions to. Everything about that variable must match everything about this variable (the type, what blocks it's on, etc.)
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

extra_matrix_tagsThe extra tags for the matrices this Kernel should fill
C++ Type:std::vector
Options:
Description:The extra tags for the matrices this Kernel should fill
extra_vector_tagsThe extra tags for the vectors this Kernel should fill
C++ Type:std::vector
Options:
Description:The extra tags for the vectors this Kernel should fill
matrix_tagssystemThe tag for the matrices this Kernel should fill
Default:system
C++ Type:MultiMooseEnum
Options:nontime system
Description:The tag for the matrices this Kernel should fill
vector_tagsnontimeThe tag for the vectors this Kernel should fill
Default:nontime
C++ Type:MultiMooseEnum
Options:nontime time
Description:The tag for the vectors this Kernel should fill

Tagging Parameters

Input Files

modules/combined/test/tests/elastic_thermal_patch/elastic_thermal_weak_plane_stress_jacobian.i

modules/combined/test/tests/elastic_thermal_patch/elastic_thermal_weak_plane_stress_jacobian.i

[GlobalParams]
  order = FIRST
  family = LAGRANGE
  displacements = 'disp_x disp_y'
  temperature = temp
  out_of_plane_strain = strain_zz
  thermal_eigenstrain_name = thermal_eigenstrain
[]

[Mesh]
  file = square.e
[]

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

  [./strain_zz]
  [../]

  [./temp]
  [../]
[]

[Kernels]
  [./disp_x]
    type = StressDivergenceTensors
    variable = disp_x
    component = 0
  [../]
  [./disp_y]
    type = StressDivergenceTensors
    variable = disp_y
    component = 1
  [../]

  [./solid_z]
    type = WeakPlaneStress
    variable = strain_zz
  [../]

  [./heat]
    type = HeatConduction
    variable = temp
    use_displaced_mesh = false
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    poissons_ratio = 0.0
    youngs_modulus = 1
  [../]
  [./strain]
    type = ComputePlaneSmallStrain
    eigenstrain_names = thermal_eigenstrain
  [../]
  [./thermal_strain]
    type = ComputeThermalExpansionEigenstrain
    thermal_expansion_coeff = 1e-5
    stress_free_temperature = 0
    eigenstrain_name = thermal_eigenstrain
  [../]
  [./stress]
    type = ComputeLinearElasticStress
  [../]

  [./conductivity]
    type = HeatConductionMaterial
    thermal_conductivity = 1
    use_displaced_mesh = false
  [../]
[]

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

[Executioner]
  type = Transient
  solve_type = NEWTON

  petsc_options_iname = '-ksp_type -pc_type -snes_type'
  petsc_options_value = 'bcgs bjacobi test'

  end_time = 1.0
[]

References

Description
Input Parameters
Input Files
References

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