Compute Cracked Stress

Computes energy and modifies the stress for phase field fracture

Description

This material implements a phase field fracture model that can include anisotropic elasticity tensors, modifying the stress and computing the free energy derivatives required for the model. It works with the standard phase field kernels for nonconserved variables. In the model, a nonconserved order parameter $var element = document.getElementById("moose-equation-33704faa-f6e7-4f81-a0bd-79e5d50ebe12");katex.render("c", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ defines the crack, where $var element = document.getElementById("moose-equation-22f54855-05fb-49dc-b024-f76a858e0f36");katex.render("c = 0", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ in undamaged material and $var element = document.getElementById("moose-equation-306fb776-8f22-4b57-9dbd-26616cbc46dd");katex.render("c = 1", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ in cracked material. Cracked material can sustain a compressive stress, but not a tensile one. $var element = document.getElementById("moose-equation-14deff1a-7e6e-4967-95d7-cd79b4231d33");katex.render("c", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ evolves to minimize the elastic free energy of the system.

This model takes the stress and Jacobian_mult that were calculated by another material and modifies them to include cracks.

Model Summary

In the model, the uncracked stress $var element = document.getElementById("moose-equation-4278cb67-1f1b-4c2a-bc42-c25da1b5ef0b");katex.render("\\sigma_0", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ is provided by another material. It is decomposed into its compressive $var element = document.getElementById("moose-equation-f1c65e34-0228-41fa-ac7f-05b0c9ebc93b");katex.render("(-)", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ and tensile $var element = document.getElementById("moose-equation-b7150718-d3be-4717-bfb6-02fdf0458781");katex.render("(+)", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ parts using a spectral decomposition $var element = document.getElementById("moose-equation-60790e8a-3656-4259-a690-a01de40bcd36");katex.render("\\boldsymbol{\\sigma}_0 = \\boldsymbol{Q} \\boldsymbol{\\Lambda} \\boldsymbol{Q}^T,", element, {displayMode:true,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ The compressive and tensile parts of the stress are computed from positive and negative projection tensors (computed from the spectral decomposition) according to $var element = document.getElementById("moose-equation-29b3970f-718c-4988-9a31-9995d8067537");katex.render("\t\\boldsymbol{\\sigma}^+ = \\mathbf{P}^+ \\boldsymbol{\\sigma}_0", element, {displayMode:true,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ $var element = document.getElementById("moose-equation-016498bd-8e0d-4c68-97a1-e148aabb552f");katex.render("\t\\boldsymbol{\\sigma}^- = \\mathbf{P}^- \\boldsymbol{\\sigma}_0,", element, {displayMode:true,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$

Free Energy Calculation

The total strain energy density is defined as $var element = document.getElementById("moose-equation-87e44c05-79ab-4224-862a-21d65d3cede7");katex.render("\\Psi = [(1-c)^2(1-k) + k] \\Psi^{+} +\\Psi^{-},", element, {displayMode:true,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ where $var element = document.getElementById("moose-equation-25183a12-7f0b-43da-8826-efc7dcf532e3");katex.render("\\psi^{+}", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ is the strain energy due to tensile stress, $var element = document.getElementById("moose-equation-63b5e3ce-abf2-4c5d-8f8d-fcc782edd036");katex.render("\\psi^{-}", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ is the strain energy due to compressive stress, and $var element = document.getElementById("moose-equation-a08bf86e-5395-4b98-9086-4da5b05ec115");katex.render("k \\ll 0", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ is a parameter used to avoid non-positive definiteness at or near complete damage. The compressive and tensile strain energies are determined from: $var element = document.getElementById("moose-equation-a87e8cfa-6cc3-4075-914e-ca3bdd634a2e");katex.render("\\psi^{+} = \\frac{1}{2} \\boldsymbol{\\sigma}^{+} : \\boldsymbol{\\epsilon}", element, {displayMode:true,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ $var element = document.getElementById("moose-equation-2dcb87cf-cd44-4eaf-a6b8-cee71beac577");katex.render("\\psi^{-} = \\frac{1}{2} \\boldsymbol{\\sigma}^{-} : \\boldsymbol{\\epsilon}.", element, {displayMode:true,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$

The crack energy density is defined as $var element = document.getElementById("moose-equation-75695f58-f1c3-4191-9b9a-63cd076dd0b8");katex.render("\\gamma = g_c \\frac{1}{2l}c^2 + g_c \\frac{l}{2} {| \\nabla c |}^2,", element, {displayMode:true,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ where $var element = document.getElementById("moose-equation-190beb9c-45cd-4261-8862-8194f9071aaa");katex.render("l", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ is the width of the crack interface and $var element = document.getElementById("moose-equation-6c38be08-8e34-49a4-95d5-144fd4814985");katex.render("g_c", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ is a parameter related to the energy release rate.

The total local free energy density is defined as $var element = document.getElementById("moose-equation-47cd9811-5217-49c4-83d9-3eae30b13aa1");katex.render("\\begin{aligned} F =& \\Psi + \\gamma \\\\ =&[(1-c)^2(1-k) + k] \\Psi^{+} +\\Psi^{-} + \\frac{g_c}{2l}c^2 + \\frac{g_c l}{2} {|{\\nabla c}|}^2. \\end{aligned}", element, {displayMode:true,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$

Stress Definition

To be thermodynamically consistent, the stress is related to the deformation energy density according to $var element = document.getElementById("moose-equation-b97513ea-92ec-4532-968c-d23250e49a1f");katex.render(" \\boldsymbol{\\sigma} = \\frac{\\partial \\psi_e}{\\partial \\boldsymbol{\\epsilon}} = ((1-c)^2(1-k) + k)\\frac{\\partial \\psi^+}{\\partial \\boldsymbol{\\epsilon}} + \\frac{\\partial \\psi^-}{\\partial \\boldsymbol{\\epsilon}}.", element, {displayMode:true,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ Since $var element = document.getElementById("moose-equation-a717b031-b0e9-4633-a583-54f0ca48d38e");katex.render("\t\\frac{\\partial \\psi^+}{\\partial \\boldsymbol{\\epsilon}} = \\boldsymbol{\\sigma}^+", element, {displayMode:true,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ $var element = document.getElementById("moose-equation-640d9d29-43d9-45cf-88d6-37c051c31a9d");katex.render("\t\\frac{\\partial \\psi^-}{\\partial \\boldsymbol{\\epsilon}} = \\boldsymbol{\\sigma}^-,", element, {displayMode:true,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ then, $var element = document.getElementById("moose-equation-14215b8f-c96d-4f14-8f1f-42298072062c");katex.render("\t\\boldsymbol{\\sigma} = ((1-c)^2(1-k) + k)\\boldsymbol{\\sigma}^+ + \\boldsymbol{\\sigma}^-", element, {displayMode:true,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$

The Jacobian matrix for the stress is $var element = document.getElementById("moose-equation-8e83a1e1-49f2-43de-87fc-4fccd264dbaf");katex.render(" \\boldsymbol{\\mathcal{J}} = \\frac{\\partial \\boldsymbol{\\sigma}}{\\partial \\boldsymbol{\\epsilon}} = \\left(((1-c)^2(1-k) + k) \\boldsymbol{\\mathcal{P}}^+ + \\boldsymbol{\\mathcal{P}}^- \\right) \\boldsymbol{\\mathcal{M}},", element, {displayMode:true,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ where $var element = document.getElementById("moose-equation-ceee2b39-a16b-40db-8b8d-62c01e030de9");katex.render("\\boldsymbol{\\mathcal{M}}", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ is the Jacobian_mult that was calculated by the constitutive model.

Evolution Equation and History Variable

To avoid crack healing, a history variable $var element = document.getElementById("moose-equation-a8ab2052-eb12-41de-9245-e6c52dad2363");katex.render("H", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ is defined that is the maximum energy density over the time interval $var element = document.getElementById("moose-equation-9c755048-af17-48d1-88e2-5af322e578a7");katex.render("t=[0,t_0]", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ , where $var element = document.getElementById("moose-equation-d3e35836-4538-4d0e-88ad-ebe2cec5563d");katex.render("t_0", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ is the current time step, i.e. $var element = document.getElementById("moose-equation-9aa90081-5e6a-4647-8b4d-85f71150cfab");katex.render("H = \\max_t (\\Psi^{+})", element, {displayMode:true,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$

Now, the total free energy is redefined as: $var element = document.getElementById("moose-equation-fe7d2d8e-e1f7-41f0-9d1c-21980380e4e5");katex.render("\\begin{aligned} F =& \\left[ (1-c)^2(1-k) + k \\right] H +\\Psi^{-} + \\frac{g_c}{2l}c^2 + \\frac{g_c l}{2} {|{\\nabla c}|}^2 \\\\ =& f_{loc} + \\frac{g_c l}{2} {|{\\nabla c}|}^2 \\end{aligned}", element, {displayMode:true,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ with $var element = document.getElementById("moose-equation-eb8bba49-760b-4005-a2ba-5389f3dcc4fd");katex.render("f_{loc} = \\left[ (1-c)^2(1-k) + k \\right] H +\\Psi^{-} + \\frac{g_c}{2l}c^2.", element, {displayMode:true,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ Its derivatives are $var element = document.getElementById("moose-equation-474f3fe9-eb17-45c0-bcb9-3494ed3ac50d");katex.render("\\begin{aligned} \\frac{\\partial f_{loc}}{\\partial c} =& -2 (1-c)(1-k) H + 2 \\frac{g_c}{2l} c\\\\ \\frac{\\partial^2 f_{loc}}{\\partial c^2} =& 2 (1-k) H + 2 \\frac{g_c}{2l}. \\end{aligned}", element, {displayMode:true,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$

The evolution equation for the damage parameter follows the Allen-Cahn equation $var element = document.getElementById("moose-equation-5c403e50-5512-49f8-8a1c-a5f7a078109f");katex.render("\\dot{c} = -L \\frac{\\delta F}{\\delta c} = -L \\left( \\frac{\\partial f_{loc}}{\\partial c} - \\nabla \\cdot \\kappa \\nabla c \\right),", element, {displayMode:true,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ where $var element = document.getElementById("moose-equation-aa105968-db6c-49ad-887d-629802e1dd3c");katex.render("L = (g_c \\eta)^{-1}", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ and $var element = document.getElementById("moose-equation-6c6f4969-5fe3-41da-af88-9be7e9c84511");katex.render("\\kappa = g_c l", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ .

This equation follows the standard Allen-Cahn and thus can be implemented in MOOSE using the standard Allen-Cahn kernels, TimeDerivative, AllenCahn, and ACInterface. There is now an action that automatically generates these kernels: NonconservedAction. See the PhaseField module documentation for more information.

Example Input File Syntax

[./cracked_stress]
  type = ComputeCrackedStress
  c = c
  kdamage = 1e-6
  F_name = E_el
  use_current_history_variable = true
  uncracked_base_name = uncracked
[../]

Input Parameters

cOrder parameter for damage
C++ Type:std::vector<VariableName>
Controllable:No
Description:Order parameter for damage
uncracked_base_nameThe base name used to calculate the original stress
C++ Type:std::string
Controllable:No
Description:The base name used to calculate the original stress

Required Parameters

F_nameE_elName of material property storing the elastic energy
Default:E_el
C++ Type:MaterialPropertyName
Controllable:No
Description:Name of material property storing the elastic energy
base_nameThe base name used to save the cracked stress
C++ Type:std::string
Controllable:No
Description:The base name used to save the cracked stress
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.
finite_strain_modelFalseThe model is using finite strain
Default:False
C++ Type:bool
Controllable:No
Description:The model is using finite strain
kappa_namekappa_opName of material property being created to store the interfacial parameter kappa
Default:kappa_op
C++ Type:MaterialPropertyName
Controllable:No
Description:Name of material property being created to store the interfacial parameter kappa
kdamage1e-09Stiffness of damaged matrix
Default:1e-09
C++ Type:double
Controllable:No
Description:Stiffness of damaged matrix
mobility_nameLName of material property being created to store the mobility L
Default:L
C++ Type:MaterialPropertyName
Controllable:No
Description:Name of material property being created to store the mobility L
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.
use_current_history_variableFalseUse the current value of the history variable.
Default:False
C++ Type:bool
Controllable:No
Description:Use the current value of the history variable.
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
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>
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

Input Files

(modules/combined/test/tests/phase_field_fracture/crack2d_computeCrackedStress_finitestrain_plastic.i)
(modules/combined/test/tests/phase_field_fracture/crack2d_computeCrackedStress_finitestrain_elastic.i)
(modules/combined/test/tests/phase_field_fracture/crack2d_computeCrackedStress_smallstrain.i)

(modules/combined/test/tests/phase_field_fracture/crack2d_computeCrackedStress_smallstrain.i)

#This input uses PhaseField-Nonconserved Action to add phase field fracture bulk rate kernels
[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 40
    ny = 20
    ymax = 0.5
  []
  [./noncrack]
    type = BoundingBoxNodeSetGenerator
    new_boundary = noncrack
    bottom_left = '0.5 0 0'
    top_right = '1 0 0'
    input = gen
  [../]
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[AuxVariables]
  [./strain_yy]
    family = MONOMIAL
    order = CONSTANT
  [../]
[]

[Modules]
  [./TensorMechanics]
    [./Master]
      [./All]
        add_variables = true
        strain = SMALL
        planar_formulation = PLANE_STRAIN
        additional_generate_output = 'stress_yy'
        strain_base_name = uncracked
      [../]
    [../]
  [../]
  [./PhaseField]
    [./Nonconserved]
      [./c]
        free_energy = E_el
        kappa = kappa_op
        mobility = L
      [../]
    [../]
  [../]
[]

[Kernels]
  [./solid_x]
    type = PhaseFieldFractureMechanicsOffDiag
    variable = disp_x
    component = 0
    c = c
  [../]
  [./solid_y]
    type = PhaseFieldFractureMechanicsOffDiag
    variable = disp_y
    component = 1
    c = c
  [../]
  [./off_disp]
    type = AllenCahnElasticEnergyOffDiag
    variable = c
    displacements = 'disp_x disp_y'
    mob_name = L
  [../]
[]

[AuxKernels]
  [./strain_yy]
    type = RankTwoAux
    variable = strain_yy
    rank_two_tensor = uncracked_mechanical_strain
    index_i = 1
    index_j = 1
  [../]
[]

[BCs]
  [./ydisp]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = top
    function = 't'
  [../]
  [./yfix]
    type = DirichletBC
    variable = disp_y
    boundary = noncrack
    value = 0
  [../]
  [./xfix]
    type = DirichletBC
    variable = disp_x
    boundary = right
    value = 0
  [../]
[]

[Materials]
  [./pfbulkmat]
    type = GenericConstantMaterial
    prop_names = 'gc_prop l visco'
    prop_values = '1e-3 0.05 1e-6'
  [../]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    C_ijkl = '127.0 70.8 70.8 127.0 70.8 127.0 73.55 73.55 73.55'
    fill_method = symmetric9
    base_name = uncracked
    euler_angle_1 = 30
    euler_angle_2 = 0
    euler_angle_3 = 0
  [../]
  [./elastic]
    type = ComputeLinearElasticStress
    base_name = uncracked
  [../]
  [./cracked_stress]
    type = ComputeCrackedStress
    c = c
    kdamage = 1e-6
    F_name = E_el
    use_current_history_variable = true
    uncracked_base_name = uncracked
  [../]
[]

[Postprocessors]
  [./av_stress_yy]
    type = ElementAverageValue
    variable = stress_yy
  [../]
  [./av_strain_yy]
    type = SideAverageValue
    variable = disp_y
    boundary = top
  [../]
[]

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

[Executioner]
  type = Transient

  solve_type = PJFNK
  petsc_options_iname = '-pc_type -pc_factor_mat_solving_package'
  petsc_options_value = 'lu superlu_dist'

  nl_rel_tol = 1e-8
  l_tol = 1e-4
  l_max_its = 100
  nl_max_its = 10

  dt = 5e-5
  num_steps = 2
[]

[Outputs]
  exodus = true
[]

(modules/combined/test/tests/phase_field_fracture/crack2d_computeCrackedStress_finitestrain_plastic.i)

#This input uses PhaseField-Nonconserved Action to add phase field fracture bulk rate kernels
[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 40
    ny = 20
    ymax = 0.5
  []
  [./noncrack]
    type = BoundingBoxNodeSetGenerator
    new_boundary = noncrack
    bottom_left = '0.5 0 0'
    top_right = '1 0 0'
    input = gen
  [../]
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[AuxVariables]
  [./strain_yy]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./elastic_strain_yy]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./plastic_strain_yy]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./uncracked_stress_yy]
    family = MONOMIAL
    order = CONSTANT
  [../]
[]

[Modules]
  [./TensorMechanics]
    [./Master]
      [./All]
        add_variables = true
        strain = FINITE
        planar_formulation = PLANE_STRAIN
        additional_generate_output = 'stress_yy vonmises_stress'
        strain_base_name = uncracked
      [../]
    [../]
  [../]
  [./PhaseField]
    [./Nonconserved]
      [./c]
        free_energy = E_el
        kappa = kappa_op
        mobility = L
      [../]
    [../]
  [../]
[]

[Kernels]
  [./solid_x]
    type = PhaseFieldFractureMechanicsOffDiag
    variable = disp_x
    component = 0
    c = c
  [../]
  [./solid_y]
    type = PhaseFieldFractureMechanicsOffDiag
    variable = disp_y
    component = 1
    c = c
  [../]
  [./off_disp]
    type = AllenCahnElasticEnergyOffDiag
    variable = c
    displacements = 'disp_x disp_y'
    mob_name = L
  [../]
[]

[AuxKernels]
  [./strain_yy]
    type = RankTwoAux
    variable = strain_yy
    rank_two_tensor = uncracked_mechanical_strain
    index_i = 1
    index_j = 1
    execute_on = TIMESTEP_END
  [../]
  [./elastic_strain_yy]
    type = RankTwoAux
    variable = elastic_strain_yy
    rank_two_tensor = uncracked_elastic_strain
    index_i = 1
    index_j = 1
    execute_on = TIMESTEP_END
  [../]
  [./plastic_strain_yy]
    type = RankTwoAux
    variable = plastic_strain_yy
    rank_two_tensor = uncracked_plastic_strain
    index_i = 1
    index_j = 1
    execute_on = TIMESTEP_END
  [../]
  [./uncracked_stress_yy]
    type = RankTwoAux
    variable = uncracked_stress_yy
    rank_two_tensor = uncracked_stress
    index_i = 1
    index_j = 1
    execute_on = TIMESTEP_END
  [../]
[]

[BCs]
  [./ydisp]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = top
    function = 't'
  [../]
  [./yfix]
    type = DirichletBC
    variable = disp_y
    boundary = noncrack
    value = 0
  [../]
  [./xfix]
    type = DirichletBC
    variable = disp_x
    boundary = right
    value = 0
  [../]
[]

[Functions]
  [./hf]
    type = PiecewiseLinear
    x = '0    0.001 0.003 0.023'
    y = '0.85 1.0   1.25  1.5'
  [../]
[]

[Materials]
  [./pfbulkmat]
    type = GenericConstantMaterial
    prop_names = 'gc_prop l visco'
    prop_values = '1e-3 0.05 5e-3'
  [../]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    C_ijkl = '120.0 80.0'
    fill_method = symmetric_isotropic
    base_name = uncracked
  [../]
  [./isotropic_plasticity]
    type = IsotropicPlasticityStressUpdate
    yield_stress = 0.85
    hardening_function = hf
    base_name = uncracked
  [../]
  [./radial_return_stress]
    type = ComputeMultipleInelasticStress
    tangent_operator = elastic
    inelastic_models = 'isotropic_plasticity'
    base_name = uncracked
  [../]
  [./cracked_stress]
    type = ComputeCrackedStress
    c = c
    F_name = E_el
    use_current_history_variable = true
    uncracked_base_name = uncracked
    finite_strain_model = true
  [../]
[]

[Postprocessors]
  [./av_stress_yy]
    type = ElementAverageValue
    variable = stress_yy
  [../]
  [./av_strain_yy]
    type = SideAverageValue
    variable = disp_y
    boundary = top
  [../]
  [./av_uncracked_stress_yy]
    type = ElementAverageValue
    variable = uncracked_stress_yy
  [../]
  [./max_c]
    type = ElementExtremeValue
    variable = c
  [../]
[]

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

[Executioner]
  type = Transient

  solve_type = PJFNK
  petsc_options_iname = '-pc_type -pc_factor_mat_solving_package'
  petsc_options_value = 'lu superlu_dist'

  nl_rel_tol = 1e-8
  l_tol = 1e-4
  l_max_its = 100
  nl_max_its = 10

  dt = 2.0e-5
  num_steps = 2
[]

[Outputs]
  exodus = true
[]

(modules/combined/test/tests/phase_field_fracture/crack2d_computeCrackedStress_finitestrain_elastic.i)

#This input uses PhaseField-Nonconserved Action to add phase field fracture bulk rate kernels
[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 40
    ny = 20
    ymax = 0.5
  []
  [./noncrack]
    type = BoundingBoxNodeSetGenerator
    new_boundary = noncrack
    bottom_left = '0.5 0 0'
    top_right = '1 0 0'
    input = gen
  [../]
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[AuxVariables]
  [./strain_yy]
    family = MONOMIAL
    order = CONSTANT
  [../]
[]

[Modules]
  [./TensorMechanics]
    [./Master]
      [./All]
        add_variables = true
        strain = FINITE
        planar_formulation = PLANE_STRAIN
        additional_generate_output = 'stress_yy'
        strain_base_name = uncracked
      [../]
    [../]
  [../]
  [./PhaseField]
    [./Nonconserved]
      [./c]
        free_energy = E_el
        kappa = kappa_op
        mobility = L
      [../]
    [../]
  [../]
[]

[Kernels]
  [./solid_x]
    type = PhaseFieldFractureMechanicsOffDiag
    variable = disp_x
    component = 0
    c = c
  [../]
  [./solid_y]
    type = PhaseFieldFractureMechanicsOffDiag
    variable = disp_y
    component = 1
    c = c
  [../]
  [./off_disp]
    type = AllenCahnElasticEnergyOffDiag
    variable = c
    displacements = 'disp_x disp_y'
    mob_name = L
  [../]
[]

[AuxKernels]
  [./strain_yy]
    type = RankTwoAux
    variable = strain_yy
    rank_two_tensor = uncracked_mechanical_strain
    index_i = 1
    index_j = 1
    execute_on = TIMESTEP_END
  [../]
[]

[BCs]
  [./ydisp]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = top
    function = 't'
  [../]
  [./yfix]
    type = DirichletBC
    variable = disp_y
    boundary = noncrack
    value = 0
  [../]
  [./xfix]
    type = DirichletBC
    variable = disp_x
    boundary = right
    value = 0
  [../]
[]

[Materials]
  [./pfbulkmat]
    type = GenericConstantMaterial
    prop_names = 'gc_prop l visco'
    prop_values = '1e-3 0.05 1e-4'
  [../]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    C_ijkl = '120.0 80.0'
    fill_method = symmetric_isotropic
    base_name = uncracked
  [../]
  [./elastic]
    type = ComputeFiniteStrainElasticStress
    base_name = uncracked
  [../]
  [./cracked_stress]
    type = ComputeCrackedStress
    c = c
    kdamage = 1e-5
    F_name = E_el
    use_current_history_variable = true
    uncracked_base_name = uncracked
    finite_strain_model = true
  [../]
[]

[Postprocessors]
  [./av_stress_yy]
    type = ElementAverageValue
    variable = stress_yy
  [../]
  [./av_strain_yy]
    type = SideAverageValue
    variable = disp_y
    boundary = top
  [../]
[]

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

[Executioner]
  type = Transient

  solve_type = PJFNK
  petsc_options_iname = '-pc_type -pc_factor_mat_solving_package'
  petsc_options_value = 'lu superlu_dist'

  nl_rel_tol = 1e-8
  l_tol = 1e-4
  l_max_its = 100
  nl_max_its = 10

  dt = 3e-5
  num_steps = 2
[]

[Outputs]
  exodus = true
[]

(modules/combined/test/tests/phase_field_fracture/crack2d_computeCrackedStress_smallstrain.i)

#This input uses PhaseField-Nonconserved Action to add phase field fracture bulk rate kernels
[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 40
    ny = 20
    ymax = 0.5
  []
  [./noncrack]
    type = BoundingBoxNodeSetGenerator
    new_boundary = noncrack
    bottom_left = '0.5 0 0'
    top_right = '1 0 0'
    input = gen
  [../]
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[AuxVariables]
  [./strain_yy]
    family = MONOMIAL
    order = CONSTANT
  [../]
[]

[Modules]
  [./TensorMechanics]
    [./Master]
      [./All]
        add_variables = true
        strain = SMALL
        planar_formulation = PLANE_STRAIN
        additional_generate_output = 'stress_yy'
        strain_base_name = uncracked
      [../]
    [../]
  [../]
  [./PhaseField]
    [./Nonconserved]
      [./c]
        free_energy = E_el
        kappa = kappa_op
        mobility = L
      [../]
    [../]
  [../]
[]

[Kernels]
  [./solid_x]
    type = PhaseFieldFractureMechanicsOffDiag
    variable = disp_x
    component = 0
    c = c
  [../]
  [./solid_y]
    type = PhaseFieldFractureMechanicsOffDiag
    variable = disp_y
    component = 1
    c = c
  [../]
  [./off_disp]
    type = AllenCahnElasticEnergyOffDiag
    variable = c
    displacements = 'disp_x disp_y'
    mob_name = L
  [../]
[]

[AuxKernels]
  [./strain_yy]
    type = RankTwoAux
    variable = strain_yy
    rank_two_tensor = uncracked_mechanical_strain
    index_i = 1
    index_j = 1
  [../]
[]

[BCs]
  [./ydisp]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = top
    function = 't'
  [../]
  [./yfix]
    type = DirichletBC
    variable = disp_y
    boundary = noncrack
    value = 0
  [../]
  [./xfix]
    type = DirichletBC
    variable = disp_x
    boundary = right
    value = 0
  [../]
[]

[Materials]
  [./pfbulkmat]
    type = GenericConstantMaterial
    prop_names = 'gc_prop l visco'
    prop_values = '1e-3 0.05 1e-6'
  [../]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    C_ijkl = '127.0 70.8 70.8 127.0 70.8 127.0 73.55 73.55 73.55'
    fill_method = symmetric9
    base_name = uncracked
    euler_angle_1 = 30
    euler_angle_2 = 0
    euler_angle_3 = 0
  [../]
  [./elastic]
    type = ComputeLinearElasticStress
    base_name = uncracked
  [../]
  [./cracked_stress]
    type = ComputeCrackedStress
    c = c
    kdamage = 1e-6
    F_name = E_el
    use_current_history_variable = true
    uncracked_base_name = uncracked
  [../]
[]

[Postprocessors]
  [./av_stress_yy]
    type = ElementAverageValue
    variable = stress_yy
  [../]
  [./av_strain_yy]
    type = SideAverageValue
    variable = disp_y
    boundary = top
  [../]
[]

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

[Executioner]
  type = Transient

  solve_type = PJFNK
  petsc_options_iname = '-pc_type -pc_factor_mat_solving_package'
  petsc_options_value = 'lu superlu_dist'

  nl_rel_tol = 1e-8
  l_tol = 1e-4
  l_max_its = 100
  nl_max_its = 10

  dt = 5e-5
  num_steps = 2
[]

[Outputs]
  exodus = true
[]

Description
Model Summary
Free Energy Calculation
Stress Definition
Evolution Equation and History Variable
Example Input File Syntax
Input Parameters
Input Files