ADPressurizedCrack

This class computes the body force term from pressurized phase-field fracture. The weak form is $var element = document.getElementById("moose-equation-7656edc4-4777-4834-9c32-2cc521d1b872");katex.render("(w, p \\grad d)", element, {displayMode:false,throwOnError:false,macros:{"\\bs":"\\boldsymbol{#1}","\\normal":"\\bs{n}","\\grad":"\\bs{\\nabla}","\\divergence":"\\grad \\cdot","\\norm":"\\left\\lVert#1\\right\\rVert","\\abs":"\\left\\lvert#1\\right\\rvert","\\tr":"\\text{tr}","\\dev":"\\text{dev}","\\sym":"\\text{sym}","\\diff":"\\text{ d}#1","\\activepart":"{\\left< A \\right>}","\\inactivepart":"{\\left< I \\right>}","\\Gc":"{\\mathcal{G}_c}","\\strain":"\\bs{\\varepsilon}","\\stress":"\\bs{\\sigma}","\\macaulay":"\\left<#1\\right>","\\body":"\\Omega","\\bodyboundary":"{\\partial\\body}","\\ep":"{\\varepsilon^p}","\\ep0":"{\\varepsilon_0^p}","\\epdot":"{\\dot{\\varepsilon}}^p","\\epdot0":"{\\dot{\\varepsilon}}_0^p","\\bfa":"\\boldsymbol{a}","\\bfb":"\\boldsymbol{b}","\\bfc":"\\boldsymbol{c}","\\bfd":"\\boldsymbol{d}","\\bfe":"\\boldsymbol{e}","\\bff":"\\boldsymbol{f}","\\bfg":"\\boldsymbol{g}","\\bfh":"\\boldsymbol{h}","\\bfi":"\\boldsymbol{i}","\\bfj":"\\boldsymbol{j}","\\bfk":"\\boldsymbol{k}","\\bfl":"\\boldsymbol{l}","\\bfm":"\\boldsymbol{m}","\\bfn":"\\boldsymbol{n}","\\bfo":"\\boldsymbol{o}","\\bfp":"\\boldsymbol{p}","\\bfq":"\\boldsymbol{q}","\\bfr":"\\boldsymbol{r}","\\bfs":"\\boldsymbol{s}","\\bft":"\\boldsymbol{t}","\\bfu":"\\boldsymbol{u}","\\bfv":"\\boldsymbol{v}","\\bfw":"\\boldsymbol{w}","\\bfx":"\\boldsymbol{x}","\\bfy":"\\boldsymbol{y}","\\bfz":"\\boldsymbol{z}","\\bfA":"\\boldsymbol{A}","\\bfB":"\\boldsymbol{B}","\\bfC":"\\boldsymbol{C}","\\bfD":"\\boldsymbol{D}","\\bfE":"\\boldsymbol{E}","\\bfF":"\\boldsymbol{F}","\\bfG":"\\boldsymbol{G}","\\bfH":"\\boldsymbol{H}","\\bfI":"\\boldsymbol{I}","\\bfJ":"\\boldsymbol{J}","\\bfK":"\\boldsymbol{K}","\\bfL":"\\boldsymbol{L}","\\bfM":"\\boldsymbol{M}","\\bfN":"\\boldsymbol{N}","\\bfO":"\\boldsymbol{O}","\\bfP":"\\boldsymbol{P}","\\bfQ":"\\boldsymbol{Q}","\\bfR":"\\boldsymbol{R}","\\bfS":"\\boldsymbol{S}","\\bfT":"\\boldsymbol{T}","\\bfU":"\\boldsymbol{U}","\\bfV":"\\boldsymbol{V}","\\bfW":"\\boldsymbol{W}","\\bfX":"\\boldsymbol{X}","\\bfY":"\\boldsymbol{Y}","\\bfZ":"\\boldsymbol{Z}"}});$ .

Example Input File Syntax

Input Parameters

componentAn integer corresponding to the direction the variable this kernel acts in. (0 for x, 1 for y, 2 for z)
C++ Type:unsigned int
Unit:(no unit assumed)
Controllable:No
Description:An integer corresponding to the direction the variable this kernel acts in. (0 for x, 1 for y, 2 for z)
phase_fieldcoupled damage variable
C++ Type:std::vector<VariableName>
Unit:(no unit assumed)
Controllable:No
Description:coupled damage variable
pressurepressure inside the crack
C++ Type:MaterialPropertyName
Unit:(no unit assumed)
Controllable:No
Description:pressure inside the crack
variableThe name of the variable that this residual object operates on
C++ Type:NonlinearVariableName
Unit:(no unit assumed)
Controllable:No
Description:The name of the variable that this residual object operates on

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
Unit:(no unit assumed)
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>
Unit:(no unit assumed)
Controllable:No
Description:The list of blocks (ids or names) that this object will be applied
displacementsThe displacements
C++ Type:std::vector<VariableName>
Unit:(no unit assumed)
Controllable:No
Description:The displacements
indicator_functionIThe indicator function
C++ Type:MaterialPropertyName
Unit:(no unit assumed)
Controllable:No
Description:IThe indicator function
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.
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

absolute_value_vector_tagsThe tags for the vectors this residual object should fill with the absolute value of the residual contribution
C++ Type:std::vector<TagName>
Unit:(no unit assumed)
Controllable:No
Description:The tags for the vectors this residual object should fill with the absolute value of the residual contribution
extra_matrix_tagsThe extra tags for the matrices this Kernel should fill
C++ Type:std::vector<TagName>
Unit:(no unit assumed)
Controllable:No
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<TagName>
Unit:(no unit assumed)
Controllable:No
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
Unit:(no unit assumed)
Options:nontime, system
Controllable:No
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
Unit:(no unit assumed)
Options:nontime, time
Controllable:No
Description:The tag for the vectors this Kernel should fill

Tagging 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.
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<AuxVariableName>
Unit:(no unit assumed)
Controllable:No
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
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
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<AuxVariableName>
Unit:(no unit assumed)
Controllable:No
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
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

Input Files

(tutorials/traction_separation/elasticity.i)

(tutorials/traction_separation/elasticity.i)

E = 3e4
nu = 0.2
K = '${fparse E/3/(1-2*nu)}'
G = '${fparse E/2/(1+nu)}'

p = 0.5

Gc = 0.12
sigmac = 3
psic = '${fparse sigmac^2/2/E}'
l = 20
R = 10
h = '${fparse l/R}'
nx = '${fparse ceil(200/h)}'

[MultiApps]
  [fracture]
    type = TransientMultiApp
    input_files = fracture.i
    cli_args = 'p=${p};Gc=${Gc};psic=${psic};l=${l};nx=${nx}'
    execute_on = 'TIMESTEP_END'
  []
[]

[Transfers]
  [from_fracture]
    type = MultiAppCopyTransfer
    from_multi_app = 'fracture'
    variable = d
    source_variable = d
  []
  [to_fracture]
    type = MultiAppCopyTransfer
    to_multi_app = 'fracture'
    variable = 'psie_active disp_x disp_y'
    source_variable = 'psie_active disp_x disp_y'
  []
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    xmax = 200
    ymax = 1
    nx = ${nx}
    ny = 1
  []
[]

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

[AuxVariables]
  [fx]
  []
  [d]
  []
[]

[Kernels]
  [solid_x]
    type = ADStressDivergenceTensors
    variable = disp_x
    component = 0
    save_in = fx
  []
  [solid_y]
    type = ADStressDivergenceTensors
    variable = disp_y
    component = 1
  []
  [pressure_x]
    type = ADPressurizedCrack
    variable = disp_x
    pressure = p
    phase_field = d
    indicator_function = I
    component = 0
  []
  [pressure_y]
    type = ADPressurizedCrack
    variable = disp_y
    pressure = p
    phase_field = d
    indicator_function = I
    component = 1
  []
[]

[BCs]
  [xdisp]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = right
    function = 't'
  []
  [yfix]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0
  []
  [xfix]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0
  []
[]

[Materials]
  [bulk_properties]
    type = ADGenericConstantMaterial
    prop_names = 'K G l Gc psic p'
    prop_values = '${K} ${G} ${l} ${Gc} ${psic} ${p}'
  []
  [crack_geometric]
    type = CrackGeometricFunction
    property_name = alpha
    expression = '2*d-d^2'
    phase_field = d
  []
  [indicator]
    type = ADDerivativeParsedMaterial
    property_name = I
    coupled_variables = 'd'
    expression = 'd^2'
    derivative_order = 1
  []
  [degradation]
    type = RationalDegradationFunction
    property_name = g
    expression = (1-d)^p/((1-d)^p+(Gc/psic*xi/c0/l)*d*(1+a2*d+a2*a3*d^2))*(1-eta)+eta
    phase_field = d
    material_property_names = 'Gc psic xi c0 l '
    parameter_names = 'p a2 a3 eta '
    parameter_values = '2 -0.5 0 1e-6'
  []
  [strain]
    type = ADComputeSmallStrain
  []
  [elasticity]
    type = SmallDeformationIsotropicElasticity
    bulk_modulus = K
    shear_modulus = G
    phase_field = d
    degradation_function = g
    decomposition = NONE
    output_properties = 'psie_active'
    outputs = exodus
  []
  [stress]
    type = ComputeSmallDeformationStress
    elasticity_model = elasticity
  []
  [pressure_density]
    type = PressureDensity
    effective_pressure_density = p_density
    phase_field = d
    pressure = p
    indicator_function = I
  []
[]

[Postprocessors]
  [Fx_left]
    type = NodalSum
    variable = fx
    boundary = left
  []
  [Fx_right]
    type = NodalSum
    variable = fx
    boundary = right
  []
  [effective_pressure]
    type = ADElementIntegralMaterialProperty
    mat_prop = p_density
  []
[]

[Executioner]
  type = Transient

  solve_type = NEWTON
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
  petsc_options_value = 'lu       superlu_dist                 '
  automatic_scaling = true

  nl_rel_tol = 1e-8
  nl_abs_tol = 1e-10

  dt = 5e-4
  end_time = 5e-2

  fixed_point_max_its = 200
  accept_on_max_fixed_point_iteration = false
  fixed_point_rel_tol = 1e-8
  fixed_point_abs_tol = 1e-10
[]

[Outputs]
  file_base = 'p_${p}_l_${l}'
  exodus = true
  csv = true
  print_linear_residuals = false
[]