Orthotropic plasticity model from Yoon (2013) the name of the paper is "Asymmetric yield function based on the stress invariants for pressure sensitive metals" published 4th December 2013. More...

#include <SolidMechanicsPlasticOrthotropic.h>

Inheritance diagram for SolidMechanicsPlasticOrthotropic:

[legend]

Public Types
typedef DataFileName	DataFileParameterType

Public Member Functions
	SolidMechanicsPlasticOrthotropic (const InputParameters &parameters)

virtual std::string	modelName () const override

virtual bool	useCustomReturnMap () const override
	Returns false. You will want to override this in your derived class if you write a custom returnMap function. More...

virtual bool	useCustomCTO () const override
	Returns false. You will want to override this in your derived class if you write a custom consistent tangent operator function. More...

virtual bool	returnMap (const RankTwoTensor &trial_stress, Real intnl_old, const RankFourTensor &E_ijkl, Real ep_plastic_tolerance, RankTwoTensor &returned_stress, Real &returned_intnl, std::vector< Real > &dpm, RankTwoTensor &delta_dp, std::vector< Real > &yf, bool &trial_stress_inadmissible) const override
	Performs a custom return-map. More...

virtual RankFourTensor	consistentTangentOperator (const RankTwoTensor &trial_stress, Real intnl_old, const RankTwoTensor &stress, Real intnl, const RankFourTensor &E_ijkl, const std::vector< Real > &cumulative_pm) const override
	Calculates a custom consistent tangent operator. More...

void	initialize ()

void	execute ()

void	finalize ()

virtual unsigned int	numberSurfaces () const
	The number of yield surfaces for this plasticity model. More...

virtual void	yieldFunctionV (const RankTwoTensor &stress, Real intnl, std::vector< Real > &f) const
	Calculates the yield functions. More...

virtual void	dyieldFunction_dstressV (const RankTwoTensor &stress, Real intnl, std::vector< RankTwoTensor > &df_dstress) const
	The derivative of yield functions with respect to stress. More...

virtual void	dyieldFunction_dintnlV (const RankTwoTensor &stress, Real intnl, std::vector< Real > &df_dintnl) const
	The derivative of yield functions with respect to the internal parameter. More...

virtual void	flowPotentialV (const RankTwoTensor &stress, Real intnl, std::vector< RankTwoTensor > &r) const
	The flow potentials. More...

virtual void	dflowPotential_dstressV (const RankTwoTensor &stress, Real intnl, std::vector< RankFourTensor > &dr_dstress) const
	The derivative of the flow potential with respect to stress. More...

virtual void	dflowPotential_dintnlV (const RankTwoTensor &stress, Real intnl, std::vector< RankTwoTensor > &dr_dintnl) const
	The derivative of the flow potential with respect to the internal parameter. More...

virtual void	hardPotentialV (const RankTwoTensor &stress, Real intnl, std::vector< Real > &h) const
	The hardening potential. More...

virtual void	dhardPotential_dstressV (const RankTwoTensor &stress, Real intnl, std::vector< RankTwoTensor > &dh_dstress) const
	The derivative of the hardening potential with respect to stress. More...

virtual void	dhardPotential_dintnlV (const RankTwoTensor &stress, Real intnl, std::vector< Real > &dh_dintnl) const
	The derivative of the hardening potential with respect to the internal parameter. More...

virtual void	activeConstraints (const std::vector< Real > &f, const RankTwoTensor &stress, Real intnl, const RankFourTensor &Eijkl, std::vector< bool > &act, RankTwoTensor &returned_stress) const
	The active yield surfaces, given a vector of yield functions. More...

bool	KuhnTuckerSingleSurface (Real yf, Real dpm, Real dpm_tol) const
	Returns true if the Kuhn-Tucker conditions for the single surface are satisfied. More...

SubProblem &	getSubProblem () const

bool	shouldDuplicateInitialExecution () const

virtual Real	spatialValue (const Point &) const

virtual const std::vector< Point >	spatialPoints () const

void	gatherSum (T &value)

void	gatherMax (T &value)

void	gatherMin (T &value)

void	gatherProxyValueMax (T1 &proxy, T2 &value)

void	gatherProxyValueMin (T1 &proxy, T2 &value)

void	setPrimaryThreadCopy (UserObject *primary)

UserObject *	primaryThreadCopy ()

std::set< UserObjectName >	getDependObjects () const

virtual bool	needThreadedCopy () const

const std::set< std::string > &	getRequestedItems () override

const std::set< std::string > &	getSuppliedItems () override

unsigned int	systemNumber () const

virtual bool	enabled () const

std::shared_ptr< MooseObject >	getSharedPtr ()

std::shared_ptr< const MooseObject >	getSharedPtr () const

MooseApp &	getMooseApp () const

const std::string &	type () const

virtual const std::string &	name () const

std::string	typeAndName () const

std::string	errorPrefix (const std::string &error_type) const

void	callMooseError (std::string msg, const bool with_prefix) const

MooseObjectParameterName	uniqueParameterName (const std::string &parameter_name) const

const InputParameters &	parameters () const

MooseObjectName	uniqueName () const

const T &	getParam (const std::string &name) const

std::vector< std::pair< T1, T2 > >	getParam (const std::string &param1, const std::string &param2) const

const T *	queryParam (const std::string &name) const

const T &	getRenamedParam (const std::string &old_name, const std::string &new_name) const

T	getCheckedPointerParam (const std::string &name, const std::string &error_string="") const

bool	isParamValid (const std::string &name) const

bool	isParamSetByUser (const std::string &nm) const

void	paramError (const std::string &param, Args... args) const

void	paramWarning (const std::string &param, Args... args) const

void	paramInfo (const std::string &param, Args... args) const

void	connectControllableParams (const std::string &parameter, const std::string &object_type, const std::string &object_name, const std::string &object_parameter) const

void	mooseError (Args &&... args) const

void	mooseErrorNonPrefixed (Args &&... args) const

void	mooseDocumentedError (const std::string &repo_name, const unsigned int issue_num, Args &&... args) const

void	mooseWarning (Args &&... args) const

void	mooseWarningNonPrefixed (Args &&... args) const

void	mooseDeprecated (Args &&... args) const

void	mooseInfo (Args &&... args) const

std::string	getDataFileName (const std::string &param) const

std::string	getDataFileNameByName (const std::string &relative_path) const

std::string	getDataFilePath (const std::string &relative_path) const

virtual void	initialSetup ()

virtual void	timestepSetup ()

virtual void	jacobianSetup ()

virtual void	residualSetup ()

virtual void	customSetup (const ExecFlagType &)

const ExecFlagEnum &	getExecuteOnEnum () const

UserObjectName	getUserObjectName (const std::string &param_name) const

const T &	getUserObject (const std::string &param_name, bool is_dependency=true) const

const T &	getUserObjectByName (const UserObjectName &object_name, bool is_dependency=true) const

const UserObject &	getUserObjectBase (const std::string &param_name, bool is_dependency=true) const

const UserObject &	getUserObjectBaseByName (const UserObjectName &object_name, bool is_dependency=true) const

const std::vector< MooseVariableScalar *> &	getCoupledMooseScalarVars ()

const std::set< TagID > &	getScalarVariableCoupleableVectorTags () const

const std::set< TagID > &	getScalarVariableCoupleableMatrixTags () const

const GenericMaterialProperty< T, is_ad > &	getGenericMaterialProperty (const std::string &name, MaterialData &material_data, const unsigned int state=0)

const GenericMaterialProperty< T, is_ad > &	getGenericMaterialProperty (const std::string &name, const unsigned int state=0)

const GenericMaterialProperty< T, is_ad > &	getGenericMaterialProperty (const std::string &name, const unsigned int state=0)

const MaterialProperty< T > &	getMaterialProperty (const std::string &name, MaterialData &material_data, const unsigned int state=0)

const MaterialProperty< T > &	getMaterialProperty (const std::string &name, const unsigned int state=0)

const MaterialProperty< T > &	getMaterialProperty (const std::string &name, const unsigned int state=0)

const ADMaterialProperty< T > &	getADMaterialProperty (const std::string &name, MaterialData &material_data)

const ADMaterialProperty< T > &	getADMaterialProperty (const std::string &name)

const ADMaterialProperty< T > &	getADMaterialProperty (const std::string &name)

const MaterialProperty< T > &	getMaterialPropertyOld (const std::string &name, MaterialData &material_data)

const MaterialProperty< T > &	getMaterialPropertyOld (const std::string &name)

const MaterialProperty< T > &	getMaterialPropertyOld (const std::string &name)

const MaterialProperty< T > &	getMaterialPropertyOlder (const std::string &name, MaterialData &material_data)

const MaterialProperty< T > &	getMaterialPropertyOlder (const std::string &name)

const MaterialProperty< T > &	getMaterialPropertyOlder (const std::string &name)

const GenericMaterialProperty< T, is_ad > &	getGenericMaterialPropertyByName (const MaterialPropertyName &name, MaterialData &material_data, const unsigned int state)

const GenericMaterialProperty< T, is_ad > &	getGenericMaterialPropertyByName (const MaterialPropertyName &name, const unsigned int state=0)

const GenericMaterialProperty< T, is_ad > &	getGenericMaterialPropertyByName (const MaterialPropertyName &name, const unsigned int state=0)

const MaterialProperty< T > &	getMaterialPropertyByName (const MaterialPropertyName &name, MaterialData &material_data, const unsigned int state=0)

const MaterialProperty< T > &	getMaterialPropertyByName (const MaterialPropertyName &name, const unsigned int state=0)

const MaterialProperty< T > &	getMaterialPropertyByName (const MaterialPropertyName &name, const unsigned int state=0)

const ADMaterialProperty< T > &	getADMaterialPropertyByName (const MaterialPropertyName &name, MaterialData &material_data)

const ADMaterialProperty< T > &	getADMaterialPropertyByName (const MaterialPropertyName &name)

const ADMaterialProperty< T > &	getADMaterialPropertyByName (const MaterialPropertyName &name)

const MaterialProperty< T > &	getMaterialPropertyOldByName (const MaterialPropertyName &name, MaterialData &material_data)

const MaterialProperty< T > &	getMaterialPropertyOldByName (const MaterialPropertyName &name)

const MaterialProperty< T > &	getMaterialPropertyOldByName (const MaterialPropertyName &name)

const MaterialProperty< T > &	getMaterialPropertyOlderByName (const MaterialPropertyName &name, MaterialData &material_data)

const MaterialProperty< T > &	getMaterialPropertyOlderByName (const MaterialPropertyName &name)

const MaterialProperty< T > &	getMaterialPropertyOlderByName (const MaterialPropertyName &name)

std::pair< const MaterialProperty< T > *, std::set< SubdomainID > >	getBlockMaterialProperty (const MaterialPropertyName &name)

const GenericMaterialProperty< T, is_ad > &	getGenericZeroMaterialProperty (const std::string &name)

const GenericMaterialProperty< T, is_ad > &	getGenericZeroMaterialProperty ()

const GenericMaterialProperty< T, is_ad > &	getGenericZeroMaterialPropertyByName (const std::string &prop_name)

const MaterialProperty< T > &	getZeroMaterialProperty (Ts... args)

std::set< SubdomainID >	getMaterialPropertyBlocks (const std::string &name)

std::vector< SubdomainName >	getMaterialPropertyBlockNames (const std::string &name)

std::set< BoundaryID >	getMaterialPropertyBoundaryIDs (const std::string &name)

std::vector< BoundaryName >	getMaterialPropertyBoundaryNames (const std::string &name)

void	checkBlockAndBoundaryCompatibility (std::shared_ptr< MaterialBase > discrete)

std::unordered_map< SubdomainID, std::vector< MaterialBase *> >	buildRequiredMaterials (bool allow_stateful=true)

void	statefulPropertiesAllowed (bool)

bool	getMaterialPropertyCalled () const

virtual const std::unordered_set< unsigned int > &	getMatPropDependencies () const

virtual void	resolveOptionalProperties ()

const GenericMaterialProperty< T, is_ad > &	getPossiblyConstantGenericMaterialPropertyByName (const MaterialPropertyName &prop_name, MaterialData &material_data, const unsigned int state)

bool	isImplicit ()

Moose::StateArg	determineState () const

virtual void	threadJoin (const UserObject &) override

virtual void	threadJoin (const UserObject &) override

virtual void	subdomainSetup () override

virtual void	subdomainSetup () override

bool	hasUserObject (const std::string &param_name) const

bool	hasUserObject (const std::string &param_name) const

bool	hasUserObject (const std::string &param_name) const

bool	hasUserObject (const std::string &param_name) const

bool	hasUserObjectByName (const UserObjectName &object_name) const

bool	hasUserObjectByName (const UserObjectName &object_name) const

bool	hasUserObjectByName (const UserObjectName &object_name) const

bool	hasUserObjectByName (const UserObjectName &object_name) const

const GenericOptionalMaterialProperty< T, is_ad > &	getGenericOptionalMaterialProperty (const std::string &name, const unsigned int state=0)

const GenericOptionalMaterialProperty< T, is_ad > &	getGenericOptionalMaterialProperty (const std::string &name, const unsigned int state=0)

const OptionalMaterialProperty< T > &	getOptionalMaterialProperty (const std::string &name, const unsigned int state=0)

const OptionalMaterialProperty< T > &	getOptionalMaterialProperty (const std::string &name, const unsigned int state=0)

const OptionalADMaterialProperty< T > &	getOptionalADMaterialProperty (const std::string &name)

const OptionalADMaterialProperty< T > &	getOptionalADMaterialProperty (const std::string &name)

const OptionalMaterialProperty< T > &	getOptionalMaterialPropertyOld (const std::string &name)

const OptionalMaterialProperty< T > &	getOptionalMaterialPropertyOld (const std::string &name)

const OptionalMaterialProperty< T > &	getOptionalMaterialPropertyOlder (const std::string &name)

const OptionalMaterialProperty< T > &	getOptionalMaterialPropertyOlder (const std::string &name)

MaterialBase &	getMaterial (const std::string &name)

MaterialBase &	getMaterial (const std::string &name)

MaterialBase &	getMaterialByName (const std::string &name, bool no_warn=false)

MaterialBase &	getMaterialByName (const std::string &name, bool no_warn=false)

bool	hasMaterialProperty (const std::string &name)

bool	hasMaterialProperty (const std::string &name)

bool	hasMaterialPropertyByName (const std::string &name)

bool	hasMaterialPropertyByName (const std::string &name)

bool	hasADMaterialProperty (const std::string &name)

bool	hasADMaterialProperty (const std::string &name)

bool	hasADMaterialPropertyByName (const std::string &name)

bool	hasADMaterialPropertyByName (const std::string &name)

bool	hasGenericMaterialProperty (const std::string &name)

bool	hasGenericMaterialProperty (const std::string &name)

bool	hasGenericMaterialPropertyByName (const std::string &name)

bool	hasGenericMaterialPropertyByName (const std::string &name)

const Function &	getFunction (const std::string &name) const

const Function &	getFunctionByName (const FunctionName &name) const

bool	hasFunction (const std::string &param_name) const

bool	hasFunctionByName (const FunctionName &name) const

bool	isDefaultPostprocessorValue (const std::string &param_name, const unsigned int index=0) const

bool	hasPostprocessor (const std::string &param_name, const unsigned int index=0) const

bool	hasPostprocessorByName (const PostprocessorName &name) const

std::size_t	coupledPostprocessors (const std::string &param_name) const

const PostprocessorName &	getPostprocessorName (const std::string &param_name, const unsigned int index=0) const

const VectorPostprocessorValue &	getVectorPostprocessorValue (const std::string &param_name, const std::string &vector_name) const

const VectorPostprocessorValue &	getVectorPostprocessorValue (const std::string &param_name, const std::string &vector_name, bool needs_broadcast) const

const VectorPostprocessorValue &	getVectorPostprocessorValueByName (const VectorPostprocessorName &name, const std::string &vector_name) const

const VectorPostprocessorValue &	getVectorPostprocessorValueByName (const VectorPostprocessorName &name, const std::string &vector_name, bool needs_broadcast) const

const VectorPostprocessorValue &	getVectorPostprocessorValueOld (const std::string &param_name, const std::string &vector_name) const

const VectorPostprocessorValue &	getVectorPostprocessorValueOld (const std::string &param_name, const std::string &vector_name, bool needs_broadcast) const

const VectorPostprocessorValue &	getVectorPostprocessorValueOldByName (const VectorPostprocessorName &name, const std::string &vector_name) const

const VectorPostprocessorValue &	getVectorPostprocessorValueOldByName (const VectorPostprocessorName &name, const std::string &vector_name, bool needs_broadcast) const

const ScatterVectorPostprocessorValue &	getScatterVectorPostprocessorValue (const std::string &param_name, const std::string &vector_name) const

const ScatterVectorPostprocessorValue &	getScatterVectorPostprocessorValueByName (const VectorPostprocessorName &name, const std::string &vector_name) const

const ScatterVectorPostprocessorValue &	getScatterVectorPostprocessorValueOld (const std::string &param_name, const std::string &vector_name) const

const ScatterVectorPostprocessorValue &	getScatterVectorPostprocessorValueOldByName (const VectorPostprocessorName &name, const std::string &vector_name) const

bool	hasVectorPostprocessor (const std::string &param_name, const std::string &vector_name) const

bool	hasVectorPostprocessor (const std::string &param_name) const

bool	hasVectorPostprocessorByName (const VectorPostprocessorName &name, const std::string &vector_name) const

bool	hasVectorPostprocessorByName (const VectorPostprocessorName &name) const

const VectorPostprocessorName &	getVectorPostprocessorName (const std::string &param_name) const

T &	getSampler (const std::string &name)

Sampler &	getSampler (const std::string &name)

T &	getSamplerByName (const SamplerName &name)

Sampler &	getSamplerByName (const SamplerName &name)

virtual void	meshChanged ()

virtual void	meshDisplaced ()

PerfGraph &	perfGraph ()

const PostprocessorValue &	getPostprocessorValue (const std::string &param_name, const unsigned int index=0) const

const PostprocessorValue &	getPostprocessorValue (const std::string &param_name, const unsigned int index=0) const

const PostprocessorValue &	getPostprocessorValueOld (const std::string &param_name, const unsigned int index=0) const

const PostprocessorValue &	getPostprocessorValueOld (const std::string &param_name, const unsigned int index=0) const

const PostprocessorValue &	getPostprocessorValueOlder (const std::string &param_name, const unsigned int index=0) const

const PostprocessorValue &	getPostprocessorValueOlder (const std::string &param_name, const unsigned int index=0) const

virtual const PostprocessorValue &	getPostprocessorValueByName (const PostprocessorName &name) const

virtual const PostprocessorValue &	getPostprocessorValueByName (const PostprocessorName &name) const

const PostprocessorValue &	getPostprocessorValueOldByName (const PostprocessorName &name) const

const PostprocessorValue &	getPostprocessorValueOldByName (const PostprocessorName &name) const

const PostprocessorValue &	getPostprocessorValueOlderByName (const PostprocessorName &name) const

const PostprocessorValue &	getPostprocessorValueOlderByName (const PostprocessorName &name) const

bool	isVectorPostprocessorDistributed (const std::string &param_name) const

bool	isVectorPostprocessorDistributed (const std::string &param_name) const

bool	isVectorPostprocessorDistributedByName (const VectorPostprocessorName &name) const

bool	isVectorPostprocessorDistributedByName (const VectorPostprocessorName &name) const

const Distribution &	getDistribution (const std::string &name) const

const T &	getDistribution (const std::string &name) const

const Distribution &	getDistribution (const std::string &name) const

const T &	getDistribution (const std::string &name) const

const Distribution &	getDistributionByName (const DistributionName &name) const

const T &	getDistributionByName (const std::string &name) const

const Distribution &	getDistributionByName (const DistributionName &name) const

const T &	getDistributionByName (const std::string &name) const

const Parallel::Communicator &	comm () const

processor_id_type	n_processors () const

processor_id_type	processor_id () const

Static Public Member Functions
static InputParameters	validParams ()

static void	sort (typename std::vector< T > &vector)

static void	sortDFS (typename std::vector< T > &vector)

static void	cyclicDependencyError (CyclicDependencyException< T2 > &e, const std::string &header)

Public Attributes
const Real	_f_tol
	Tolerance on yield function. More...

const Real	_ic_tol
	Tolerance on internal constraint. More...

const ConsoleStream	_console

Static Public Attributes
static constexpr PropertyValue::id_type	default_property_id

static constexpr PropertyValue::id_type	zero_property_id

static constexpr auto	SYSTEM

static constexpr auto	NAME

Protected Member Functions
Real	yieldFunction (const RankTwoTensor &stress, Real intnl) const override
	Yield_function = a[bI1 + (J2^{3/2} - cJ3)^{1/3}] - yield_strength. More...

RankTwoTensor	dyieldFunction_dstress (const RankTwoTensor &stress, Real intnl) const override
	Tensor derivative of the yield_function with respect to the stress tensor. More...

RankFourTensor	dflowPotential_dstress (const RankTwoTensor &stress, Real intnl) const override
	Tensor derivative of the tensor derivative of the yield_function with respect to the stress tensor. More...

RankTwoTensor	flowPotential (const RankTwoTensor &stress, Real intnl) const override
	Receives the flag for associative or non-associative and calculates the flow potential accordingly. More...

Real	dphi_dj2 (const Real j2, const Real j3) const
	derivative of phi with respect to J2, phi is bI1 + (J2^{3/2} - cJ3)^{1/3} More...

Real	dphi_dj3 (const Real j2, const Real j3) const
	derivative of phi with respect to J3 More...

Real	dfj2_dj2 (const Real j2, const Real j3) const
	derivative of dphi_dJ2 with respect to J2 More...

Real	dfj2_dj3 (const Real j2, const Real j3) const
	derivative of dphi_dJ2 with respect to J3 More...

Real	dfj3_dj2 (const Real j2, const Real j3) const
	derivative of dphi_dJ3 with respect to J2 More...

Real	dfj3_dj3 (const Real j2, const Real j3) const
	derivative of dphi_dJ3 with respect to J3 More...

RankTwoTensor	dI_sigma () const
	derivative of the trace with respect to sigma rank two tensor More...

RankTwoTensor	dj2_dSkl (const RankTwoTensor &stress) const
	derivative of the second invariant with respect to the stress deviatoric tensor More...

Real	dyieldFunction_dintnl (const RankTwoTensor &stress, Real intnl) const override
	The derivative of yield function with respect to the internal parameter. More...

RankTwoTensor	dflowPotential_dintnl (const RankTwoTensor &stress, Real intnl) const override
	The derivative of the flow potential with respect to the internal parameter. More...

virtual Real	yieldStrength (Real intnl) const
	YieldStrength. More...

virtual Real	dyieldStrength (Real intnl) const
	d(yieldStrength)/d(intnl) More...

virtual Real	hardPotential (const RankTwoTensor &stress, Real intnl) const
	The hardening potential. More...

virtual RankTwoTensor	dhardPotential_dstress (const RankTwoTensor &stress, Real intnl) const
	The derivative of the hardening potential with respect to stress. More...

virtual Real	dhardPotential_dintnl (const RankTwoTensor &stress, Real intnl) const
	The derivative of the hardening potential with respect to the internal parameter. More...

virtual void	addPostprocessorDependencyHelper (const PostprocessorName &name) const override

virtual void	addVectorPostprocessorDependencyHelper (const VectorPostprocessorName &name) const override

virtual void	addUserObjectDependencyHelper (const UserObject &uo) const override

void	addReporterDependencyHelper (const ReporterName &reporter_name) override

const ReporterName &	getReporterName (const std::string &param_name) const

T &	declareRestartableData (const std::string &data_name, Args &&... args)

ManagedValue< T >	declareManagedRestartableDataWithContext (const std::string &data_name, void *context, Args &&... args)

const T &	getRestartableData (const std::string &data_name) const

T &	declareRestartableDataWithContext (const std::string &data_name, void *context, Args &&... args)

T &	declareRecoverableData (const std::string &data_name, Args &&... args)

T &	declareRestartableDataWithObjectName (const std::string &data_name, const std::string &object_name, Args &&... args)

T &	declareRestartableDataWithObjectNameWithContext (const std::string &data_name, const std::string &object_name, void *context, Args &&... args)

std::string	restartableName (const std::string &data_name) const

const T &	getMeshProperty (const std::string &data_name, const std::string &prefix)

const T &	getMeshProperty (const std::string &data_name)

bool	hasMeshProperty (const std::string &data_name, const std::string &prefix) const

bool	hasMeshProperty (const std::string &data_name, const std::string &prefix) const

bool	hasMeshProperty (const std::string &data_name) const

bool	hasMeshProperty (const std::string &data_name) const

std::string	meshPropertyName (const std::string &data_name) const

PerfID	registerTimedSection (const std::string &section_name, const unsigned int level) const

PerfID	registerTimedSection (const std::string &section_name, const unsigned int level, const std::string &live_message, const bool print_dots=true) const

std::string	timedSectionName (const std::string &section_name) const

bool	isCoupledScalar (const std::string &var_name, unsigned int i=0) const

unsigned int	coupledScalarComponents (const std::string &var_name) const

unsigned int	coupledScalar (const std::string &var_name, unsigned int comp=0) const

libMesh::Order	coupledScalarOrder (const std::string &var_name, unsigned int comp=0) const

const VariableValue &	coupledScalarValue (const std::string &var_name, unsigned int comp=0) const

const ADVariableValue &	adCoupledScalarValue (const std::string &var_name, unsigned int comp=0) const

const GenericVariableValue< is_ad > &	coupledGenericScalarValue (const std::string &var_name, unsigned int comp=0) const

const GenericVariableValue< false > &	coupledGenericScalarValue (const std::string &var_name, const unsigned int comp) const

const GenericVariableValue< true > &	coupledGenericScalarValue (const std::string &var_name, const unsigned int comp) const

const VariableValue &	coupledVectorTagScalarValue (const std::string &var_name, TagID tag, unsigned int comp=0) const

const VariableValue &	coupledMatrixTagScalarValue (const std::string &var_name, TagID tag, unsigned int comp=0) const

const VariableValue &	coupledScalarValueOld (const std::string &var_name, unsigned int comp=0) const

const VariableValue &	coupledScalarValueOlder (const std::string &var_name, unsigned int comp=0) const

const VariableValue &	coupledScalarDot (const std::string &var_name, unsigned int comp=0) const

const ADVariableValue &	adCoupledScalarDot (const std::string &var_name, unsigned int comp=0) const

const VariableValue &	coupledScalarDotDot (const std::string &var_name, unsigned int comp=0) const

const VariableValue &	coupledScalarDotOld (const std::string &var_name, unsigned int comp=0) const

const VariableValue &	coupledScalarDotDotOld (const std::string &var_name, unsigned int comp=0) const

const VariableValue &	coupledScalarDotDu (const std::string &var_name, unsigned int comp=0) const

const VariableValue &	coupledScalarDotDotDu (const std::string &var_name, unsigned int comp=0) const

const MooseVariableScalar *	getScalarVar (const std::string &var_name, unsigned int comp) const

virtual void	checkMaterialProperty (const std::string &name, const unsigned int state)

void	markMatPropRequested (const std::string &)

MaterialPropertyName	getMaterialPropertyName (const std::string &name) const

void	checkExecutionStage ()

const T &	getReporterValue (const std::string &param_name, const std::size_t time_index=0)

const T &	getReporterValue (const std::string &param_name, ReporterMode mode, const std::size_t time_index=0)

const T &	getReporterValue (const std::string &param_name, const std::size_t time_index=0)

const T &	getReporterValue (const std::string &param_name, ReporterMode mode, const std::size_t time_index=0)

const T &	getReporterValueByName (const ReporterName &reporter_name, const std::size_t time_index=0)

const T &	getReporterValueByName (const ReporterName &reporter_name, ReporterMode mode, const std::size_t time_index=0)

const T &	getReporterValueByName (const ReporterName &reporter_name, const std::size_t time_index=0)

const T &	getReporterValueByName (const ReporterName &reporter_name, ReporterMode mode, const std::size_t time_index=0)

bool	hasReporterValue (const std::string &param_name) const

bool	hasReporterValue (const std::string &param_name) const

bool	hasReporterValue (const std::string &param_name) const

bool	hasReporterValue (const std::string &param_name) const

bool	hasReporterValueByName (const ReporterName &reporter_name) const

bool	hasReporterValueByName (const ReporterName &reporter_name) const

bool	hasReporterValueByName (const ReporterName &reporter_name) const

bool	hasReporterValueByName (const ReporterName &reporter_name) const

const GenericMaterialProperty< T, is_ad > *	defaultGenericMaterialProperty (const std::string &name)

const GenericMaterialProperty< T, is_ad > *	defaultGenericMaterialProperty (const std::string &name)

const MaterialProperty< T > *	defaultMaterialProperty (const std::string &name)

const MaterialProperty< T > *	defaultMaterialProperty (const std::string &name)

const ADMaterialProperty< T > *	defaultADMaterialProperty (const std::string &name)

const ADMaterialProperty< T > *	defaultADMaterialProperty (const std::string &name)

Static Protected Member Functions
static std::string	meshPropertyName (const std::string &data_name, const std::string &prefix)

Protected Attributes
const std::vector< Real >	_c1
	The six coefficients of L prime. More...

const std::vector< Real >	_c2
	The six coefficients of L prime prime. More...

RankFourTensor	_l1
	Transformation tensor from the stress tensor to the deviatoric stress tensor for J2. More...

RankFourTensor	_l2
	Transformation tensor from the stress tensor to the deviatoric stress tensor for J3. More...

const Real	_b
	A constant to model the influence of pressure. More...

Real	_c
	A constant to model the influence of strength differential effect. More...

const bool	_associative
	Flag for flow-rule, true if not specified. More...

RankFourTensor	_h
	Comes from transforming the stress tensor to the deviatoric stress tensor. More...

Real	_a
	A constant used in the constructor that depends on _b and _c. More...

SubProblem &	_subproblem

FEProblemBase &	_fe_problem

SystemBase &	_sys

const THREAD_ID	_tid

Assembly &	_assembly

const Moose::CoordinateSystemType &	_coord_sys

const bool	_duplicate_initial_execution

std::set< std::string >	_depend_uo

const bool &	_enabled

MooseApp &	_app

const std::string	_type

const std::string	_name

const InputParameters &	_pars

Factory &	_factory

ActionFactory &	_action_factory

const ExecFlagEnum &	_execute_enum

const ExecFlagType &	_current_execute_flag

MooseApp &	_restartable_app

const std::string	_restartable_system_name

const THREAD_ID	_restartable_tid

const bool	_restartable_read_only

FEProblemBase &	_mci_feproblem

FEProblemBase &	_mdi_feproblem

MooseApp &	_pg_moose_app

const std::string	_prefix

FEProblemBase &	_sc_fe_problem

const THREAD_ID	_sc_tid

const Real &	_real_zero

const VariableValue &	_scalar_zero

const Point &	_point_zero

const InputParameters &	_mi_params

const std::string	_mi_name

const MooseObjectName	_mi_moose_object_name

FEProblemBase &	_mi_feproblem

SubProblem &	_mi_subproblem

const THREAD_ID	_mi_tid

const Moose::MaterialDataType	_material_data_type

MaterialData &	_material_data

bool	_stateful_allowed

bool	_get_material_property_called

std::vector< std::unique_ptr< PropertyValue > >	_default_properties

std::unordered_set< unsigned int >	_material_property_dependencies

const MaterialPropertyName	_get_suffix

const bool	_use_interpolated_state

const InputParameters &	_ti_params

FEProblemBase &	_ti_feproblem

bool	_is_implicit

Real &	_t

const Real &	_t_old

int &	_t_step

Real &	_dt

Real &	_dt_old

bool	_is_transient

const Parallel::Communicator &	_communicator

Static Protected Attributes
static const std::string	_interpolated_old

static const std::string	_interpolated_older

Detailed Description

Orthotropic plasticity model from Yoon (2013) the name of the paper is "Asymmetric yield function based on the stress invariants for pressure sensitive metals" published 4th December 2013.

This model accounts for sensitivity in pressure, the strength differential effect and orthotropic behavior Yield_function = \( b*I_{1} + (J'2^{3/2} - c*J''3)^{1/3}\) - yield_strength The last three functions are the main functions that call all other functions in this module for the Newton-Raphson method.

Definition at line 25 of file SolidMechanicsPlasticOrthotropic.h.

Constructor & Destructor Documentation

◆ SolidMechanicsPlasticOrthotropic()

SolidMechanicsPlasticOrthotropic::SolidMechanicsPlasticOrthotropic ( const InputParameters & parameters )

Definition at line 31 of file SolidMechanicsPlasticOrthotropic.C.

   : SolidMechanicsPlasticIsotropicSD(parameters),
     _c1(getParam<std::vector<Real>>("c1")),
     _c2(getParam<std::vector<Real>>("c2"))
 {
   _c = 1.0;
   _l1(0, 0, 0, 0) = (_c1[1] + _c1[2]) / 3.0;
   _l1(0, 0, 1, 1) = -_c1[2] / 3.0;
   _l1(0, 0, 2, 2) = -_c1[1] / 3.0;
   _l1(1, 1, 0, 0) = -_c1[2] / 3.0;
   _l1(1, 1, 1, 1) = (_c1[0] + _c1[2]) / 3.0;
   _l1(1, 1, 2, 2) = -_c1[0] / 3.0;
   _l1(2, 2, 0, 0) = -_c1[1] / 3.0;
   _l1(2, 2, 1, 1) = -_c1[0] / 3.0;
   _l1(2, 2, 2, 2) = (_c1[0] + _c1[1]) / 3.0;
   _l1(0, 1, 1, 0) = _c1[5] / 2.0;
   _l1(0, 1, 0, 1) = _c1[5] / 2.0;
   _l1(1, 0, 1, 0) = _c1[5] / 2.0;
   _l1(1, 0, 0, 1) = _c1[5] / 2.0;
   _l1(0, 2, 0, 2) = _c1[4] / 2.0;
   _l1(0, 2, 2, 0) = _c1[4] / 2.0;
   _l1(2, 0, 2, 0) = _c1[4] / 2.0;
   _l1(2, 0, 0, 2) = _c1[4] / 2.0;
   _l1(1, 2, 2, 1) = _c1[3] / 2.0;
   _l1(1, 2, 1, 2) = _c1[3] / 2.0;
   _l1(2, 1, 1, 2) = _c1[3] / 2.0;
   _l1(2, 1, 2, 1) = _c1[3] / 2.0;
 
   _l2(0, 0, 0, 0) = (_c2[1] + _c2[2]) / 3.0;
   _l2(0, 0, 1, 1) = -_c2[2] / 3.0;
   _l2(0, 0, 2, 2) = -_c2[1] / 3.0;
   _l2(1, 1, 0, 0) = -_c2[2] / 3.0;
   _l2(1, 1, 1, 1) = (_c2[0] + _c2[2]) / 3.0;
   _l2(1, 1, 2, 2) = -_c2[0] / 3.0;
   _l2(2, 2, 0, 0) = -_c2[1] / 3.0;
   _l2(2, 2, 1, 1) = -_c2[0] / 3.0;
   _l2(2, 2, 2, 2) = (_c2[0] + _c2[1]) / 3.0;
   _l2(0, 1, 1, 0) = _c2[5] / 2.0;
   _l2(0, 1, 0, 1) = _c2[5] / 2.0;
   _l2(1, 0, 1, 0) = _c2[5] / 2.0;
   _l2(1, 0, 0, 1) = _c2[5] / 2.0;
   _l2(0, 2, 0, 2) = _c2[4] / 2.0;
   _l2(0, 2, 2, 0) = _c2[4] / 2.0;
   _l2(2, 0, 2, 0) = _c2[4] / 2.0;
   _l2(2, 0, 0, 2) = _c2[4] / 2.0;
   _l2(1, 2, 2, 1) = _c2[3] / 2.0;
   _l2(1, 2, 1, 2) = _c2[3] / 2.0;
   _l2(2, 1, 1, 2) = _c2[3] / 2.0;
   _l2(2, 1, 2, 1) = _c2[3] / 2.0;
 }

Member Function Documentation

◆ activeConstraints()

void SolidMechanicsPlasticModel::activeConstraints	(	const std::vector< Real > &	f,
		const RankTwoTensor &	stress,
		Real	intnl,
		const RankFourTensor &	Eijkl,
		std::vector< bool > &	act,
		RankTwoTensor &	returned_stress
	)		const

virtualinherited

The active yield surfaces, given a vector of yield functions.

This is used by FiniteStrainMultiPlasticity to determine the initial set of active constraints at the trial (stress, intnl) configuration. It is up to you (the coder) to determine how accurate you want the returned_stress to be. Currently it is only used by FiniteStrainMultiPlasticity to estimate a good starting value for the Newton-Rahson procedure, so currently it may not need to be super perfect.

Parameters

	f	values of the yield functions
	stress	stress tensor
	intnl	internal parameter
	Eijkl	elasticity tensor (stress = Eijkl*strain)
[out]	act	act[i] = true if the i_th yield function is active
[out]	returned_stress	Approximate value of the returned stress

Reimplemented in SolidMechanicsPlasticMohrCoulombMulti, SolidMechanicsPlasticTensileMulti, SolidMechanicsPlasticMeanCapTC, SolidMechanicsPlasticWeakPlaneShear, and SolidMechanicsPlasticWeakPlaneTensile.

Definition at line 186 of file SolidMechanicsPlasticModel.C.

 {
   mooseAssert(f.size() == numberSurfaces(),
               "f incorrectly sized at " << f.size() << " in activeConstraints");
   act.resize(numberSurfaces());
   for (unsigned surface = 0; surface < numberSurfaces(); ++surface)
     act[surface] = (f[surface] > _f_tol);
 }

◆ consistentTangentOperator()

RankFourTensor SolidMechanicsPlasticJ2::consistentTangentOperator	(	const RankTwoTensor &	trial_stress,
		Real	intnl_old,
		const RankTwoTensor &	stress,
		Real	intnl,
		const RankFourTensor &	E_ijkl,
		const std::vector< Real > &	cumulative_pm
	)		const

overridevirtualinherited

Calculates a custom consistent tangent operator.

You may choose to over-ride this in your derived SolidMechanicsPlasticXXXX class.

(Note, if you over-ride returnMap, you will probably want to override consistentTangentOpertor too, otherwise it will default to E_ijkl.)

Parameters

stress_old	trial stress before returning
intnl_old	internal parameter before returning
stress	current returned stress state
intnl	internal parameter
E_ijkl	elasticity tensor
cumulative_pm	the cumulative plastic multipliers

Returns: the consistent tangent operator: E_ijkl if not over-ridden

Reimplemented from SolidMechanicsPlasticModel.

Definition at line 195 of file SolidMechanicsPlasticJ2.C.

 {
   if (!_use_custom_cto)
     return SolidMechanicsPlasticModel::consistentTangentOperator(
         trial_stress, intnl_old, stress, intnl, E_ijkl, cumulative_pm);
 
   Real mu = E_ijkl(0, 1, 0, 1);
 
   Real h = 3 * mu + dyieldStrength(intnl);
   RankTwoTensor sij = stress.deviatoric();
   Real sII = stress.secondInvariant();
   Real equivalent_stress = std::sqrt(3.0 * sII);
   Real zeta = cumulative_pm[0] / (1.0 + 3.0 * mu * cumulative_pm[0] / equivalent_stress);
 
   return E_ijkl - 3.0 * mu * mu / sII / h * sij.outerProduct(sij) -
          4.0 * mu * mu * zeta * dflowPotential_dstress(stress, intnl);
 }

◆ dfj2_dj2()

Real SolidMechanicsPlasticIsotropicSD::dfj2_dj2	(	const Real	j2,
		const Real	j3
	)		const

protectedinherited

derivative of dphi_dJ2 with respect to J2

Definition at line 59 of file SolidMechanicsPlasticIsotropicSD.C.

Referenced by dflowPotential_dstress(), and SolidMechanicsPlasticIsotropicSD::dflowPotential_dstress().

 {
   return std::pow(j2, -1.0 / 2.0) / (4 * std::pow(std::pow(j2, 3.0 / 2.0) - _c * j3, 2.0 / 3.0)) -
          j2 / (2 * std::pow(std::pow(j2, 3.0 / 2.0) - _c * j3, 5.0 / 3.0));
 }

◆ dfj2_dj3()

Real SolidMechanicsPlasticIsotropicSD::dfj2_dj3	(	const Real	j2,
		const Real	j3
	)		const

protectedinherited

derivative of dphi_dJ2 with respect to J3

Definition at line 66 of file SolidMechanicsPlasticIsotropicSD.C.

Referenced by dflowPotential_dstress(), and SolidMechanicsPlasticIsotropicSD::dflowPotential_dstress().

 {
   return _c * std::pow(j2, 1.0 / 2.0) /
          (3 * std::pow(std::pow(j2, 3.0 / 2.0) - _c * j3, 5.0 / 3.0));
 }

◆ dfj3_dj2()

Real SolidMechanicsPlasticIsotropicSD::dfj3_dj2	(	const Real	j2,
		const Real	j3
	)		const

protectedinherited

derivative of dphi_dJ3 with respect to J2

Definition at line 73 of file SolidMechanicsPlasticIsotropicSD.C.

Referenced by dflowPotential_dstress(), and SolidMechanicsPlasticIsotropicSD::dflowPotential_dstress().

 {
   return _c * std::pow(j2, 1.0 / 2.0) /
          (3 * std::pow(std::pow(j2, 3.0 / 2.0) - _c * j3, 5.0 / 3.0));
 }

◆ dfj3_dj3()

Real SolidMechanicsPlasticIsotropicSD::dfj3_dj3	(	const Real	j2,
		const Real	j3
	)		const

protectedinherited

derivative of dphi_dJ3 with respect to J3

Definition at line 80 of file SolidMechanicsPlasticIsotropicSD.C.

Referenced by dflowPotential_dstress(), and SolidMechanicsPlasticIsotropicSD::dflowPotential_dstress().

 {
   return -_c * _c * 2.0 / (9 * std::pow(std::pow(j2, 3.0 / 2.0) - _c * j3, 5.0 / 3.0));
 }

◆ dflowPotential_dintnl()

RankTwoTensor SolidMechanicsPlasticJ2::dflowPotential_dintnl	(	const RankTwoTensor &	stress,
		Real	intnl
	)		const

overrideprotectedvirtualinherited

The derivative of the flow potential with respect to the internal parameter.

Parameters

stress	the stress at which to calculate the flow potential
intnl	internal parameter

Returns: dr_dintnl(i, j) = dr(i, j)/dintnl

Reimplemented from SolidMechanicsPlasticModel.

Definition at line 99 of file SolidMechanicsPlasticJ2.C.

 {
   return RankTwoTensor();
 }

◆ dflowPotential_dintnlV()

void SolidMechanicsPlasticModel::dflowPotential_dintnlV	(	const RankTwoTensor &	stress,
		Real	intnl,
		std::vector< RankTwoTensor > &	dr_dintnl
	)		const

virtualinherited

The derivative of the flow potential with respect to the internal parameter.

Parameters

	stress	the stress at which to calculate the flow potential
	intnl	internal parameter
[out]	dr_dintnl	dr_dintnl[alpha](i, j) = dr[alpha](i, j)/dintnl

Reimplemented in SolidMechanicsPlasticMohrCoulombMulti, and SolidMechanicsPlasticTensileMulti.

Definition at line 137 of file SolidMechanicsPlasticModel.C.

 {
   return dr_dintnl.assign(1, dflowPotential_dintnl(stress, intnl));
 }

◆ dflowPotential_dstress()

RankFourTensor SolidMechanicsPlasticOrthotropic::dflowPotential_dstress	(	const RankTwoTensor &	stress,
		Real	intnl
	)		const

overrideprotectedvirtual

Tensor derivative of the tensor derivative of the yield_function with respect to the stress tensor.

Reimplemented from SolidMechanicsPlasticIsotropicSD.

Definition at line 107 of file SolidMechanicsPlasticOrthotropic.C.

 {
   if (_associative)
   {
     const RankTwoTensor j2prime = _l1 * stress;
     const RankTwoTensor j3prime = _l2 * stress;
     const RankTwoTensor dj2 = dj2_dSkl(j2prime);
     const RankTwoTensor dj3 = j3prime.ddet();
     const Real j2 = -j2prime.generalSecondInvariant();
     const Real j3 = j3prime.det();
     const RankFourTensor dr =
         dfj2_dj2(j2, j3) *
             _l1.innerProductTranspose(dj2).outerProduct(_l1.innerProductTranspose(dj2)) +
         dfj2_dj3(j2, j3) *
             _l1.innerProductTranspose(dj2).outerProduct(_l2.innerProductTranspose(dj3)) +
         dfj3_dj2(j2, j3) *
             _l2.innerProductTranspose(dj3).outerProduct(_l1.innerProductTranspose(dj2)) +
         dfj3_dj3(j2, j3) *
             _l2.innerProductTranspose(dj3).outerProduct(_l2.innerProductTranspose(dj3));
     const RankTwoTensor r = _b * dI_sigma() +
                             dphi_dj2(j2, j3) * _l1.innerProductTranspose(dj2_dSkl(j2prime)) +
                             dphi_dj3(j2, j3) * _l2.innerProductTranspose(j3prime.ddet());
     const Real norm = r.L2norm();
     return dr / norm - (r / Utility::pow<3>(norm)).outerProduct(dr.innerProductTranspose(r));
   }
   else
     return SolidMechanicsPlasticJ2::dflowPotential_dstress(stress, 0);
 }

◆ dflowPotential_dstressV()

void SolidMechanicsPlasticModel::dflowPotential_dstressV	(	const RankTwoTensor &	stress,
		Real	intnl,
		std::vector< RankFourTensor > &	dr_dstress
	)		const

virtualinherited

The derivative of the flow potential with respect to stress.

Parameters

	stress	the stress at which to calculate the flow potential
	intnl	internal parameter
[out]	dr_dstress	dr_dstress[alpha](i, j, k, l) = dr[alpha](i, j)/dstress(k, l)

Reimplemented in SolidMechanicsPlasticMohrCoulombMulti, and SolidMechanicsPlasticTensileMulti.

Definition at line 123 of file SolidMechanicsPlasticModel.C.

 {
   return dr_dstress.assign(1, dflowPotential_dstress(stress, intnl));
 }

◆ dhardPotential_dintnl()

Real SolidMechanicsPlasticModel::dhardPotential_dintnl	(	const RankTwoTensor &	stress,
		Real	intnl
	)		const

protectedvirtualinherited

The derivative of the hardening potential with respect to the internal parameter.

Parameters

stress	the stress at which to calculate the hardening potentials
intnl	internal parameter

Returns: the derivative

Reimplemented in SolidMechanicsPlasticMeanCapTC.

Definition at line 172 of file SolidMechanicsPlasticModel.C.

Referenced by SolidMechanicsPlasticModel::dhardPotential_dintnlV().

 {
   return 0.0;
 }

◆ dhardPotential_dintnlV()

void SolidMechanicsPlasticModel::dhardPotential_dintnlV	(	const RankTwoTensor &	stress,
		Real	intnl,
		std::vector< Real > &	dh_dintnl
	)		const

virtualinherited

The derivative of the hardening potential with respect to the internal parameter.

Parameters

	stress	the stress at which to calculate the hardening potentials
	intnl	internal parameter
[out]	dh_dintnl	dh_dintnl[alpha] = dh[alpha]/dintnl

Definition at line 178 of file SolidMechanicsPlasticModel.C.

 {
   dh_dintnl.resize(numberSurfaces(), dhardPotential_dintnl(stress, intnl));
 }

◆ dhardPotential_dstress()

RankTwoTensor SolidMechanicsPlasticModel::dhardPotential_dstress	(	const RankTwoTensor &	stress,
		Real	intnl
	)		const

protectedvirtualinherited

The derivative of the hardening potential with respect to stress.

Parameters

stress	the stress at which to calculate the hardening potentials
intnl	internal parameter

Returns: dh_dstress(i, j) = dh/dstress(i, j)

Reimplemented in SolidMechanicsPlasticMeanCapTC.

Definition at line 158 of file SolidMechanicsPlasticModel.C.

Referenced by SolidMechanicsPlasticModel::dhardPotential_dstressV().

 {
   return RankTwoTensor();
 }

◆ dhardPotential_dstressV()

void SolidMechanicsPlasticModel::dhardPotential_dstressV	(	const RankTwoTensor &	stress,
		Real	intnl,
		std::vector< RankTwoTensor > &	dh_dstress
	)		const

virtualinherited

The derivative of the hardening potential with respect to stress.

Parameters

	stress	the stress at which to calculate the hardening potentials
	intnl	internal parameter
[out]	dh_dstress	dh_dstress[alpha](i, j) = dh[alpha]/dstress(i, j)

Definition at line 164 of file SolidMechanicsPlasticModel.C.

 {
   dh_dstress.assign(numberSurfaces(), dhardPotential_dstress(stress, intnl));
 }

◆ dI_sigma()

RankTwoTensor SolidMechanicsPlasticIsotropicSD::dI_sigma ( ) const

protectedinherited

derivative of the trace with respect to sigma rank two tensor

Definition at line 86 of file SolidMechanicsPlasticIsotropicSD.C.

Referenced by dflowPotential_dstress(), dyieldFunction_dstress(), and SolidMechanicsPlasticIsotropicSD::dyieldFunction_dstress().

 {
   return RankTwoTensor(RankTwoTensor::initIdentity);
 }

◆ dj2_dSkl()

RankTwoTensor SolidMechanicsPlasticIsotropicSD::dj2_dSkl ( const RankTwoTensor & stress ) const

protectedinherited

derivative of the second invariant with respect to the stress deviatoric tensor

Definition at line 92 of file SolidMechanicsPlasticIsotropicSD.C.

Referenced by dflowPotential_dstress(), SolidMechanicsPlasticIsotropicSD::dflowPotential_dstress(), dyieldFunction_dstress(), and SolidMechanicsPlasticIsotropicSD::dyieldFunction_dstress().

 {
   RankTwoTensor a;
   const Real trace = stress.trace();
   for (unsigned i = 0; i < 3; ++i)
     for (unsigned j = 0; j < 3; ++j)
       a(i, j) = (trace - stress(i, j)) * -1 * (i == j) + stress(i, j) * (i != j);
 
   return a;
 }

◆ dphi_dj2()

Real SolidMechanicsPlasticIsotropicSD::dphi_dj2	(	const Real	j2,
		const Real	j3
	)		const

protectedinherited

derivative of phi with respect to J2, phi is b*I1 + (J2^{3/2} - c*J3)^{1/3}

Definition at line 47 of file SolidMechanicsPlasticIsotropicSD.C.

Referenced by dflowPotential_dstress(), dyieldFunction_dstress(), and SolidMechanicsPlasticIsotropicSD::dyieldFunction_dstress().

 {
   return std::pow(j2, 1.0 / 2.0) / (2 * std::pow(std::pow(j2, 3.0 / 2.0) - _c * j3, 2.0 / 3.0));
 }

◆ dphi_dj3()

Real SolidMechanicsPlasticIsotropicSD::dphi_dj3	(	const Real	j2,
		const Real	j3
	)		const

protectedinherited

derivative of phi with respect to J3

Definition at line 53 of file SolidMechanicsPlasticIsotropicSD.C.

Referenced by dflowPotential_dstress(), dyieldFunction_dstress(), and SolidMechanicsPlasticIsotropicSD::dyieldFunction_dstress().

 {
   return -_c / (3 * std::pow(std::pow(j2, 3.0 / 2.0) - _c * j3, 2.0 / 3.0));
 }

◆ dyieldFunction_dintnl()

Real SolidMechanicsPlasticJ2::dyieldFunction_dintnl	(	const RankTwoTensor &	stress,
		Real	intnl
	)		const

overrideprotectedvirtualinherited

The derivative of yield function with respect to the internal parameter.

Parameters

stress	the stress at which to calculate the yield function
intnl	internal parameter

Returns: the derivative

Reimplemented from SolidMechanicsPlasticModel.

Definition at line 69 of file SolidMechanicsPlasticJ2.C.

 {
   return -dyieldStrength(intnl);
 }

◆ dyieldFunction_dintnlV()

void SolidMechanicsPlasticModel::dyieldFunction_dintnlV	(	const RankTwoTensor &	stress,
		Real	intnl,
		std::vector< Real > &	df_dintnl
	)		const

virtualinherited

The derivative of yield functions with respect to the internal parameter.

Parameters

	stress	the stress at which to calculate the yield function
	intnl	internal parameter
[out]	df_dintnl	df_dintnl[alpha] = df[alpha]/dintnl

Reimplemented in SolidMechanicsPlasticMohrCoulombMulti, and SolidMechanicsPlasticTensileMulti.

Definition at line 96 of file SolidMechanicsPlasticModel.C.

 {
   return df_dintnl.assign(1, dyieldFunction_dintnl(stress, intnl));
 }

◆ dyieldFunction_dstress()

RankTwoTensor SolidMechanicsPlasticOrthotropic::dyieldFunction_dstress	(	const RankTwoTensor &	stress,
		Real	intnl
	)		const

overrideprotectedvirtual

Tensor derivative of the yield_function with respect to the stress tensor.

Reimplemented from SolidMechanicsPlasticIsotropicSD.

Definition at line 95 of file SolidMechanicsPlasticOrthotropic.C.

Referenced by flowPotential().

 {
   const RankTwoTensor j2prime = _l1 * stress;
   const RankTwoTensor j3prime = _l2 * stress;
   const Real j2 = -j2prime.generalSecondInvariant();
   const Real j3 = j3prime.det();
   return _b * dI_sigma() + dphi_dj2(j2, j3) * _l1.innerProductTranspose(dj2_dSkl(j2prime)) +
          dphi_dj3(j2, j3) * _l2.innerProductTranspose(j3prime.ddet());
 }

◆ dyieldFunction_dstressV()

void SolidMechanicsPlasticModel::dyieldFunction_dstressV	(	const RankTwoTensor &	stress,
		Real	intnl,
		std::vector< RankTwoTensor > &	df_dstress
	)		const

virtualinherited

The derivative of yield functions with respect to stress.

Parameters

	stress	the stress at which to calculate the yield function
	intnl	internal parameter
[out]	df_dstress	df_dstress[alpha](i, j) = dyieldFunction[alpha]/dstress(i, j)

Reimplemented in SolidMechanicsPlasticMohrCoulombMulti, and SolidMechanicsPlasticTensileMulti.

Definition at line 82 of file SolidMechanicsPlasticModel.C.

 {
   df_dstress.assign(1, dyieldFunction_dstress(stress, intnl));
 }

◆ dyieldStrength()

Real SolidMechanicsPlasticJ2::dyieldStrength ( Real intnl ) const

protectedvirtualinherited

d(yieldStrength)/d(intnl)

Definition at line 112 of file SolidMechanicsPlasticJ2.C.

Referenced by SolidMechanicsPlasticJ2::consistentTangentOperator(), SolidMechanicsPlasticJ2::dyieldFunction_dintnl(), and SolidMechanicsPlasticJ2::returnMap().

 {
   return _strength.derivative(intnl);
 }

◆ execute()

void SolidMechanicsPlasticModel::execute ( )

virtualinherited

Implements GeneralUserObject.

Definition at line 45 of file SolidMechanicsPlasticModel.C.

46 {

47 }

◆ finalize()

void SolidMechanicsPlasticModel::finalize ( )

virtualinherited

Implements GeneralUserObject.

Definition at line 50 of file SolidMechanicsPlasticModel.C.

51 {

52 }

◆ flowPotential()

RankTwoTensor SolidMechanicsPlasticOrthotropic::flowPotential	(	const RankTwoTensor &	stress,
		Real	intnl
	)		const

overrideprotectedvirtual

Receives the flag for associative or non-associative and calculates the flow potential accordingly.

Reimplemented from SolidMechanicsPlasticIsotropicSD.

Definition at line 138 of file SolidMechanicsPlasticOrthotropic.C.

 {
   if (_associative)
   {
     const RankTwoTensor a = dyieldFunction_dstress(stress, intnl);
     return a / a.L2norm();
   }
   else
     return SolidMechanicsPlasticJ2::dyieldFunction_dstress(stress, intnl);
 }

◆ flowPotentialV()

void SolidMechanicsPlasticModel::flowPotentialV	(	const RankTwoTensor &	stress,
		Real	intnl,
		std::vector< RankTwoTensor > &	r
	)		const

virtualinherited

The flow potentials.

Parameters

	stress	the stress at which to calculate the flow potential
	intnl	internal parameter
[out]	r	r[alpha] is the flow potential for the "alpha" yield function

Reimplemented in SolidMechanicsPlasticMohrCoulombMulti, and SolidMechanicsPlasticTensileMulti.

Definition at line 109 of file SolidMechanicsPlasticModel.C.

 {
   return r.assign(1, flowPotential(stress, intnl));
 }

◆ hardPotential()

Real SolidMechanicsPlasticModel::hardPotential	(	const RankTwoTensor &	stress,
		Real	intnl
	)		const

protectedvirtualinherited

The hardening potential.

Parameters

stress	the stress at which to calculate the hardening potential
intnl	internal parameter

Returns: the hardening potential

Reimplemented in SolidMechanicsPlasticMeanCapTC.

Definition at line 145 of file SolidMechanicsPlasticModel.C.

Referenced by SolidMechanicsPlasticModel::hardPotentialV().

 {
   return -1.0;
 }

◆ hardPotentialV()

void SolidMechanicsPlasticModel::hardPotentialV	(	const RankTwoTensor &	stress,
		Real	intnl,
		std::vector< Real > &	h
	)		const

virtualinherited

The hardening potential.

Parameters

	stress	the stress at which to calculate the hardening potential
	intnl	internal parameter
[out]	h	h[alpha] is the hardening potential for the "alpha" yield function

Definition at line 150 of file SolidMechanicsPlasticModel.C.

 {
   h.assign(numberSurfaces(), hardPotential(stress, intnl));
 }

◆ initialize()

void SolidMechanicsPlasticModel::initialize ( )

virtualinherited

Implements GeneralUserObject.

Definition at line 40 of file SolidMechanicsPlasticModel.C.

41 {

42 }

◆ KuhnTuckerSingleSurface()

bool SolidMechanicsPlasticModel::KuhnTuckerSingleSurface	(	Real	yf,
		Real	dpm,
		Real	dpm_tol
	)		const

inherited

Returns true if the Kuhn-Tucker conditions for the single surface are satisfied.

Parameters

yf	Yield function value
dpm	plastic multiplier
dpm_tol	tolerance on plastic multiplier: viz dpm>-dpm_tol means "dpm is non-negative"

Definition at line 246 of file SolidMechanicsPlasticModel.C.

Referenced by SolidMechanicsPlasticMohrCoulombMulti::KuhnTuckerOK(), SolidMechanicsPlasticTensileMulti::KuhnTuckerOK(), and SolidMechanicsPlasticModel::returnMap().

 {
   return (dpm == 0 && yf <= _f_tol) || (dpm > -dpm_tol && yf <= _f_tol && yf >= -_f_tol);
 }

◆ modelName()

std::string SolidMechanicsPlasticJ2::modelName ( ) const

overridevirtualinherited

Implements SolidMechanicsPlasticModel.

Definition at line 118 of file SolidMechanicsPlasticJ2.C.

 {
   return "J2";
 }

◆ numberSurfaces()

unsigned SolidMechanicsPlasticModel::numberSurfaces ( ) const

virtualinherited

The number of yield surfaces for this plasticity model.

Reimplemented in SolidMechanicsPlasticMohrCoulombMulti, and SolidMechanicsPlasticTensileMulti.

Definition at line 55 of file SolidMechanicsPlasticModel.C.

Referenced by SolidMechanicsPlasticModel::activeConstraints(), SolidMechanicsPlasticModel::dhardPotential_dintnlV(), SolidMechanicsPlasticModel::dhardPotential_dstressV(), SolidMechanicsPlasticModel::hardPotentialV(), and SolidMechanicsPlasticModel::returnMap().

 {
   return 1;
 }

◆ returnMap()

bool SolidMechanicsPlasticJ2::returnMap	(	const RankTwoTensor &	trial_stress,
		Real	intnl_old,
		const RankFourTensor &	E_ijkl,
		Real	ep_plastic_tolerance,
		RankTwoTensor &	returned_stress,
		Real &	returned_intnl,
		std::vector< Real > &	dpm,
		RankTwoTensor &	delta_dp,
		std::vector< Real > &	yf,
		bool &	trial_stress_inadmissible
	)		const

overridevirtualinherited

Performs a custom return-map.

You may choose to over-ride this in your derived SolidMechanicsPlasticXXXX class, and you may implement the return-map algorithm in any way that suits you. Eg, using a Newton-Raphson approach, or a radial-return, etc. This may also be used as a quick way of ascertaining whether (trial_stress, intnl_old) is in fact admissible.

For over-riding this function, please note the following.

(1) Denoting the return value of the function by "successful_return", the only possible output values should be: (A) trial_stress_inadmissible=false, successful_return=true. That is, (trial_stress, intnl_old) is in fact admissible (in the elastic domain). (B) trial_stress_inadmissible=true, successful_return=false. That is (trial_stress, intnl_old) is inadmissible (outside the yield surface), and you didn't return to the yield surface. (C) trial_stress_inadmissible=true, successful_return=true. That is (trial_stress, intnl_old) is inadmissible (outside the yield surface), but you did return to the yield surface. The default implementation only handles case (A) and (B): it does not attempt to do a return-map algorithm.

(2) you must correctly signal "successful_return" using the return value of this function. Don't assume the calling function will do Kuhn-Tucker checking and so forth!

(3) In cases (A) and (B) you needn't set returned_stress, returned_intnl, delta_dp, or dpm. This is for computational efficiency.

(4) In cases (A) and (B), you MUST place the yield function values at (trial_stress, intnl_old) into yf so the calling function can use this information optimally. You will have already calculated these yield function values, which can be quite expensive, and it's not very optimal for the calling function to have to re-calculate them.

(5) In case (C), you need to set: returned_stress (the returned value of stress) returned_intnl (the returned value of the internal variable) delta_dp (the change in plastic strain) dpm (the plastic multipliers needed to bring about the return) yf (yield function values at the returned configuration)

(Note, if you over-ride returnMap, you will probably want to override consistentTangentOpertor too, otherwise it will default to E_ijkl.)

Parameters

	trial_stress	The trial stress
	intnl_old	Value of the internal parameter
	E_ijkl	Elasticity tensor
	ep_plastic_tolerance	Tolerance defined by the user for the plastic strain
[out]	returned_stress	In case (C): lies on the yield surface after returning and produces the correct plastic strain (normality condition). Otherwise: not defined
[out]	returned_intnl	In case (C): the value of the internal parameter after returning. Otherwise: not defined
[out]	dpm	In case (C): the plastic multipliers needed to bring about the return. Otherwise: not defined
[out]	delta_dp	In case (C): The change in plastic strain induced by the return process. Otherwise: not defined
[out]	yf	In case (C): the yield function at (returned_stress, returned_intnl). Otherwise: the yield function at (trial_stress, intnl_old)
[out]	trial_stress_inadmissible	Should be set to false if the trial_stress is admissible, and true if the trial_stress is inadmissible. This can be used by the calling prorgram

Returns: true if a successful return (or a return-map not needed), false if the trial_stress is inadmissible but the return process failed

Reimplemented from SolidMechanicsPlasticModel.

Definition at line 124 of file SolidMechanicsPlasticJ2.C.

 {
   if (!(_use_custom_returnMap))
     return SolidMechanicsPlasticModel::returnMap(trial_stress,
                                                  intnl_old,
                                                  E_ijkl,
                                                  ep_plastic_tolerance,
                                                  returned_stress,
                                                  returned_intnl,
                                                  dpm,
                                                  delta_dp,
                                                  yf,
                                                  trial_stress_inadmissible);
 
   yf.resize(1);
 
   Real yf_orig = yieldFunction(trial_stress, intnl_old);
 
   yf[0] = yf_orig;
 
   if (yf_orig < _f_tol)
   {
     // the trial_stress is admissible
     trial_stress_inadmissible = false;
     return true;
   }
 
   trial_stress_inadmissible = true;
   Real mu = E_ijkl(0, 1, 0, 1);
 
   // Perform a Newton-Raphson to find dpm when
   // residual = 3*mu*dpm - trial_equivalent_stress + yieldStrength(intnl_old + dpm) = 0
   Real trial_equivalent_stress = yf_orig + yieldStrength(intnl_old);
   Real residual;
   Real jac;
   dpm[0] = 0;
   unsigned int iter = 0;
   do
   {
     residual = 3.0 * mu * dpm[0] - trial_equivalent_stress + yieldStrength(intnl_old + dpm[0]);
     jac = 3.0 * mu + dyieldStrength(intnl_old + dpm[0]);
     dpm[0] += -residual / jac;
     if (iter > _max_iters) // not converging
       return false;
     iter++;
   } while (residual * residual > _f_tol * _f_tol);
 
   // set the returned values
   yf[0] = 0;
   returned_intnl = intnl_old + dpm[0];
   RankTwoTensor nn = 1.5 * trial_stress.deviatoric() /
                      trial_equivalent_stress; // = dyieldFunction_dstress(trial_stress, intnl_old) =
                                               // the normal to the yield surface, at the trial
                                               // stress
   returned_stress = 2.0 / 3.0 * nn * yieldStrength(returned_intnl);
   returned_stress.addIa(1.0 / 3.0 * trial_stress.trace());
   delta_dp = nn * dpm[0];
 
   return true;
 }

◆ useCustomCTO()

bool SolidMechanicsPlasticJ2::useCustomCTO ( ) const

overridevirtualinherited

Returns false. You will want to override this in your derived class if you write a custom consistent tangent operator function.

Reimplemented from SolidMechanicsPlasticModel.

Definition at line 225 of file SolidMechanicsPlasticJ2.C.

 {
   return _use_custom_cto;
 }

◆ useCustomReturnMap()

bool SolidMechanicsPlasticJ2::useCustomReturnMap ( ) const

overridevirtualinherited

Returns false. You will want to override this in your derived class if you write a custom returnMap function.

Reimplemented from SolidMechanicsPlasticModel.

Definition at line 219 of file SolidMechanicsPlasticJ2.C.

 {
   return _use_custom_returnMap;
 }

◆ validParams()

InputParameters SolidMechanicsPlasticOrthotropic::validParams ( )

static

Definition at line 21 of file SolidMechanicsPlasticOrthotropic.C.

 {
   InputParameters params = SolidMechanicsPlasticIsotropicSD::validParams();
   params.addRequiredParam<std::vector<Real>>("c1", "The six coefficients of L prime");
   params.addRequiredParam<std::vector<Real>>("c2", "The six coefficients of L prime prime");
   params.addClassDescription("Orthotropic plasticity for pressure sensitive materials and also "
                              "models the strength differential effect");
   return params;
 }

◆ yieldFunction()

Real SolidMechanicsPlasticOrthotropic::yieldFunction	(	const RankTwoTensor &	stress,
		Real	intnl
	)		const

overrideprotectedvirtual

Yield_function = a[b*I1 + (J2^{3/2} - c*J3)^{1/3}] - yield_strength.

Reimplemented from SolidMechanicsPlasticIsotropicSD.

Definition at line 84 of file SolidMechanicsPlasticOrthotropic.C.

 {
   const RankTwoTensor j2prime = _l1 * stress;
   const RankTwoTensor j3prime = _l2 * stress;
   return _b * stress.trace() +
          std::pow(std::pow(-j2prime.generalSecondInvariant(), 3.0 / 2.0) - j3prime.det(),
                   1.0 / 3.0) -
          yieldStrength(intnl);
 }

◆ yieldFunctionV()

void SolidMechanicsPlasticModel::yieldFunctionV	(	const RankTwoTensor &	stress,
		Real	intnl,
		std::vector< Real > &	f
	)		const

virtualinherited

Calculates the yield functions.

Note that for single-surface plasticity you don't want to override this - override the private yieldFunction below

Parameters

	stress	the stress at which to calculate the yield function
	intnl	internal parameter
[out]	f	the yield functions

Reimplemented in SolidMechanicsPlasticMohrCoulombMulti, and SolidMechanicsPlasticTensileMulti.

Definition at line 67 of file SolidMechanicsPlasticModel.C.

Referenced by SolidMechanicsPlasticModel::returnMap().

 {
   f.assign(1, yieldFunction(stress, intnl));
 }

◆ yieldStrength()

Real SolidMechanicsPlasticJ2::yieldStrength ( Real intnl ) const

protectedvirtualinherited

YieldStrength.

The yield function is sqrt(3*J2) - yieldStrength. In this class yieldStrength = 1, but this may be over-ridden by derived classes with nontrivial hardning

Definition at line 106 of file SolidMechanicsPlasticJ2.C.

Referenced by SolidMechanicsPlasticJ2::returnMap(), yieldFunction(), SolidMechanicsPlasticJ2::yieldFunction(), and SolidMechanicsPlasticIsotropicSD::yieldFunction().

 {
   return _strength.value(intnl);
 }

Member Data Documentation

◆ _a

Real SolidMechanicsPlasticIsotropicSD::_a

protectedinherited

A constant used in the constructor that depends on _b and _c.

Definition at line 47 of file SolidMechanicsPlasticIsotropicSD.h.

Referenced by SolidMechanicsPlasticIsotropicSD::dflowPotential_dstress(), SolidMechanicsPlasticIsotropicSD::dyieldFunction_dstress(), SolidMechanicsPlasticIsotropicSD::SolidMechanicsPlasticIsotropicSD(), and SolidMechanicsPlasticIsotropicSD::yieldFunction().

◆ _associative

const bool SolidMechanicsPlasticIsotropicSD::_associative

protectedinherited

Flag for flow-rule, true if not specified.

Definition at line 41 of file SolidMechanicsPlasticIsotropicSD.h.

Referenced by dflowPotential_dstress(), SolidMechanicsPlasticIsotropicSD::dflowPotential_dstress(), flowPotential(), and SolidMechanicsPlasticIsotropicSD::flowPotential().

◆ _b

const Real SolidMechanicsPlasticIsotropicSD::_b

protectedinherited

A constant to model the influence of pressure.

Definition at line 35 of file SolidMechanicsPlasticIsotropicSD.h.

Referenced by dflowPotential_dstress(), dyieldFunction_dstress(), SolidMechanicsPlasticIsotropicSD::dyieldFunction_dstress(), SolidMechanicsPlasticIsotropicSD::SolidMechanicsPlasticIsotropicSD(), yieldFunction(), and SolidMechanicsPlasticIsotropicSD::yieldFunction().

◆ _c

Real SolidMechanicsPlasticIsotropicSD::_c

protectedinherited

A constant to model the influence of strength differential effect.

Definition at line 38 of file SolidMechanicsPlasticIsotropicSD.h.

Referenced by SolidMechanicsPlasticIsotropicSD::dfj2_dj2(), SolidMechanicsPlasticIsotropicSD::dfj2_dj3(), SolidMechanicsPlasticIsotropicSD::dfj3_dj2(), SolidMechanicsPlasticIsotropicSD::dfj3_dj3(), SolidMechanicsPlasticIsotropicSD::dphi_dj2(), SolidMechanicsPlasticIsotropicSD::dphi_dj3(), SolidMechanicsPlasticIsotropicSD::SolidMechanicsPlasticIsotropicSD(), SolidMechanicsPlasticOrthotropic(), and SolidMechanicsPlasticIsotropicSD::yieldFunction().

◆ _c1

const std::vector<Real> SolidMechanicsPlasticOrthotropic::_c1

protected

The six coefficients of L prime.

Definition at line 34 of file SolidMechanicsPlasticOrthotropic.h.

Referenced by SolidMechanicsPlasticOrthotropic().

◆ _c2

const std::vector<Real> SolidMechanicsPlasticOrthotropic::_c2

protected

The six coefficients of L prime prime.

Definition at line 37 of file SolidMechanicsPlasticOrthotropic.h.

Referenced by SolidMechanicsPlasticOrthotropic().

◆ _f_tol

const Real SolidMechanicsPlasticModel::_f_tol

inherited

Tolerance on yield function.

Definition at line 170 of file SolidMechanicsPlasticModel.h.

◆ _h

RankFourTensor SolidMechanicsPlasticIsotropicSD::_h

protectedinherited

Comes from transforming the stress tensor to the deviatoric stress tensor.

Definition at line 44 of file SolidMechanicsPlasticIsotropicSD.h.

Referenced by SolidMechanicsPlasticIsotropicSD::dflowPotential_dstress(), SolidMechanicsPlasticIsotropicSD::dyieldFunction_dstress(), and SolidMechanicsPlasticIsotropicSD::SolidMechanicsPlasticIsotropicSD().

◆ _ic_tol

const Real SolidMechanicsPlasticModel::_ic_tol

inherited

Tolerance on internal constraint.

Definition at line 173 of file SolidMechanicsPlasticModel.h.

◆ _l1

RankFourTensor SolidMechanicsPlasticOrthotropic::_l1

protected

Transformation tensor from the stress tensor to the deviatoric stress tensor for J2.

Definition at line 40 of file SolidMechanicsPlasticOrthotropic.h.

Referenced by dflowPotential_dstress(), dyieldFunction_dstress(), SolidMechanicsPlasticOrthotropic(), and yieldFunction().

◆ _l2

RankFourTensor SolidMechanicsPlasticOrthotropic::_l2

protected

Transformation tensor from the stress tensor to the deviatoric stress tensor for J3.

Definition at line 43 of file SolidMechanicsPlasticOrthotropic.h.

Referenced by dflowPotential_dstress(), dyieldFunction_dstress(), SolidMechanicsPlasticOrthotropic(), and yieldFunction().

The documentation for this class was generated from the following files:

solid_mechanics/include/userobjects/SolidMechanicsPlasticOrthotropic.h
solid_mechanics/src/userobjects/SolidMechanicsPlasticOrthotropic.C

Public Types

Public Member Functions

Static Public Member Functions

Public Attributes

Static Public Attributes

Protected Member Functions

Static Protected Member Functions

Protected Attributes

Static Protected Attributes

Detailed Description

Constructor & Destructor Documentation

◆ SolidMechanicsPlasticOrthotropic()

Member Function Documentation

◆ activeConstraints()

◆ consistentTangentOperator()

◆ dfj2_dj2()

◆ dfj2_dj3()

◆ dfj3_dj2()

◆ dfj3_dj3()

◆ dflowPotential_dintnl()

◆ dflowPotential_dintnlV()

◆ dflowPotential_dstress()

◆ dflowPotential_dstressV()

◆ dhardPotential_dintnl()

◆ dhardPotential_dintnlV()

◆ dhardPotential_dstress()

◆ dhardPotential_dstressV()

◆ dI_sigma()

◆ dj2_dSkl()

◆ dphi_dj2()

◆ dphi_dj3()

◆ dyieldFunction_dintnl()

◆ dyieldFunction_dintnlV()

◆ dyieldFunction_dstress()

◆ dyieldFunction_dstressV()

◆ dyieldStrength()

◆ execute()

◆ finalize()

◆ flowPotential()

◆ flowPotentialV()

◆ hardPotential()

◆ hardPotentialV()

◆ initialize()

◆ KuhnTuckerSingleSurface()

◆ modelName()

◆ numberSurfaces()

◆ returnMap()

◆ useCustomCTO()

◆ useCustomReturnMap()

◆ validParams()

◆ yieldFunction()

◆ yieldFunctionV()

◆ yieldStrength()

Member Data Documentation

◆ _a

◆ _associative

◆ _b

◆ _c

◆ _c1

◆ _c2

◆ _f_tol

◆ _h

◆ _ic_tol

◆ _l1

◆ _l2