This object integrates the predictive stress using the plasticity theory by means of linear/exponential softening or hardening + softening evolution laws. More...

#include <generic_cl_integrator_kinematic_plasticity.h>

Collaboration diagram for Kratos::GenericConstitutiveLawIntegratorKinematicPlasticity< TYieldSurfaceType >:

Public Types
Enum's
enum class	HardeningCurveType { LinearSoftening = 0 , ExponentialSoftening = 1 , InitialHardeningExponentialSoftening = 2 , PerfectPlasticity = 3 , CurveFittingHardening = 4 }

enum class	KinematicHardeningType { LinearKinematicHardening = 0 , ArmstrongFrederickKinematicHardening = 1 , AraujoVoyiadjisKinematicHardening = 2 }

Public Member Functions
Life Cycle
	GenericConstitutiveLawIntegratorKinematicPlasticity ()
	Initialization constructor. More...

	GenericConstitutiveLawIntegratorKinematicPlasticity (GenericConstitutiveLawIntegratorKinematicPlasticity const &rOther)
	Copy constructor. More...

GenericConstitutiveLawIntegratorKinematicPlasticity &	operator= (GenericConstitutiveLawIntegratorKinematicPlasticity const &rOther)
	Assignment operator. More...

virtual	~GenericConstitutiveLawIntegratorKinematicPlasticity ()
	Destructor. More...

Static Public Member Functions
Operations
static void	IntegrateStressVector (BoundedArrayType &rPredictiveStressVector, Vector &rStrainVector, double &rUniaxialStress, double &rThreshold, double &rPlasticDenominator, BoundedArrayType &rYieldSurfaceDerivative, BoundedArrayType &rDerivativePlasticPotential, double &rPlasticDissipation, BoundedArrayType &rPlasticStrainIncrement, Matrix &rConstitutiveMatrix, Vector &rPlasticStrain, ConstitutiveLaw::Parameters &rValues, const double CharacteristicLength, Vector &rBackStressVector, const Vector &rPreviousStressVector)
	This method integrates the predictive stress vector with the CL using differents evolution laws using the backward euler scheme. More...

static void	CalculateTangentMatrix (Matrix &rTangent, const Matrix &rElasticMatrix, const array_1d< double, VoigtSize > &rFFluxVector, const array_1d< double, VoigtSize > &rGFluxVector, const double Denominator)
	This method calculates the analytical tangent tensor. More...

static double	CalculatePlasticParameters (BoundedArrayType &rPredictiveStressVector, Vector &rStrainVector, double &rUniaxialStress, double &rThreshold, double &rPlasticDenominator, BoundedArrayType &rYieldSurfaceDerivative, BoundedArrayType &rDerivativePlasticPotential, double &rPlasticDissipation, BoundedArrayType &rPlasticStrainIncrement, const Matrix &rConstitutiveMatrix, ConstitutiveLaw::Parameters &rValues, const double CharacteristicLength, const Vector &rPlasticStrain, const Vector &rBackStressVector)
	This method calculates all the plastic parameters required for the integration of the PredictiveStressVector. More...

static void	CalculateDerivativeYieldSurface (const BoundedArrayType &rPredictiveStressVector, const BoundedArrayType &rDeviator, const double J2, BoundedArrayType &rDerivativeYieldSurface, ConstitutiveLaw::Parameters &rValues)
	This method calculates the derivative of the yield surface. More...

static void	CalculateBackStress (BoundedArrayType &rPredictiveStressVector, ConstitutiveLaw::Parameters &rValues, const Vector &rPreviousStressVector, const Vector &rPlasticStrainIncrement, Vector &rBackStressVector)
	This method computes the back stress for the kinematic plasticity This method has 3 different ways of computing this back-stress: Linear hardening, Armstrong-Frederick and Araujo-Voyiadjis. More...

static void	CalculateDerivativePlasticPotential (const BoundedArrayType &rPredictiveStressVector, const BoundedArrayType &rDeviator, const double J2, BoundedArrayType &rDerivativePlasticPotential, ConstitutiveLaw::Parameters &rValues)
	This method calculates the derivative of the plastic potential. More...

static void	CalculateIndicatorsFactors (const BoundedArrayType &rPredictiveStressVector, double &rTensileIndicatorFactor, double &rCompressionIndicatorFactor)
	This method computes the tensile/compressive indicators. More...

static void	CalculatePlasticDissipation (const BoundedArrayType &rPredictiveStressVector, const double TensileIndicatorFactor, const double CompressionIndicatorFactor, const Vector &PlasticStrainInc, double &rPlasticDissipation, BoundedArrayType &rHCapa, ConstitutiveLaw::Parameters &rValues, const double CharacteristicLength)
	This method computes the plastic dissipation of the plasticity model. More...

static void	CalculateEquivalentStressThreshold (const double PlasticDissipation, const double TensileIndicatorFactor, const double CompressionIndicatorFactor, double &rEquivalentStressThreshold, double &rSlope, ConstitutiveLaw::Parameters &rValues, const double EquivalentPlasticStrain, const double CharacteristicLength)
	This method computes the uniaxial threshold that differentiates the elastic-plastic behaviour. More...

static void	CalculateEquivalentStressThresholdHardeningCurveLinearSoftening (const double PlasticDissipation, const double TensileIndicatorFactor, const double CompressionIndicatorFactor, double &rEquivalentStressThreshold, double &rSlope, ConstitutiveLaw::Parameters &rValues)
	This method computes the uniaxial threshold using a linear softening. More...

static void	CalculateEquivalentStressThresholdHardeningCurveExponentialSoftening (const double PlasticDissipation, const double TensileIndicatorFactor, const double CompressionIndicatorFactor, double &rEquivalentStressThreshold, double &rSlope, ConstitutiveLaw::Parameters &rValues, const double CharacteristicLength)
	This method computes the uniaxial threshold using a exponential softening. More...

static void	CalculateEquivalentStressThresholdHardeningCurveInitialHardeningExponentialSoftening (const double PlasticDissipation, const double TensileIndicatorFactor, const double CompressionIndicatorFactor, double &rEquivalentStressThreshold, double &rSlope, ConstitutiveLaw::Parameters &rValues)
	This method computes the uniaxial threshold using a hardening-softening law. More...

static void	CalculateEquivalentStressThresholdHardeningCurvePerfectPlasticity (const double PlasticDissipation, const double TensileIndicatorFactor, const double CompressionIndicatorFactor, double &rEquivalentStressThreshold, double &rSlope, ConstitutiveLaw::Parameters &rValues)
	This method computes the uniaxial threshold using a perfect plasticity law. More...

static void	CalculateEquivalentStressThresholdCurveFittingHardening (const double PlasticDissipation, const double TensileIndicatorFactor, const double CompressionIndicatorFactor, double &rEquivalentStressThreshold, double &rSlope, ConstitutiveLaw::Parameters &rValues, const double EquivalentPlasticStrain, const double CharacteristicLength)
	This method computes the uniaxial threshold using a perfect plasticity law. More...

static void	CalculateEquivalentPlasticStrain (const Vector &rStressVector, const double UniaxialStress, const Vector &rPlasticStrain, const double r0, ConstitutiveLaw::Parameters &rValues, double &rEquivalentPlasticStrain)
	This method returns the equivalent plastic strain. More...

static void	GetInitialUniaxialThreshold (ConstitutiveLaw::Parameters &rValues, double &rThreshold)
	This method returns the initial uniaxial stress threshold. More...

static void	CalculateHardeningParameter (const BoundedArrayType &rGFlux, const double SlopeThreshold, const BoundedArrayType &rHCapa, double &rHardeningParameter)
	This method computes hardening parameter needed for the algorithm. More...

static void	CalculatePlasticDenominator (const BoundedArrayType &rFFlux, const BoundedArrayType &rGFlux, const Matrix &rConstitutiveMatrix, double &rHardeningParameter, double &rPlasticDenominator, const Vector &rBackStressVector, ConstitutiveLaw::Parameters &rValues)
	This method computes the plastic denominator needed to compute the plastic consistency factor. More...

static int	Check (const Properties &rMaterialProperties)
	This method defines in the CL integrator. More...

Type Definitions
typedef std::size_t	IndexType
	Definition of index. More...

typedef TYieldSurfaceType	YieldSurfaceType
	The type of yield surface. More...

typedef array_1d< double, VoigtSize >	BoundedArrayType
	The definition of the Voigt array type. More...

typedef BoundedMatrix< double, Dimension, Dimension >	BoundedMatrixType
	The definition of the bounded matrix type. More...

typedef YieldSurfaceType::PlasticPotentialType	PlasticPotentialType
	The type of plastic potential. More...

static constexpr double	tolerance = std::numeric_limits<double>::epsilon()
	The machine precision tolerance. More...

static constexpr SizeType	Dimension = YieldSurfaceType::Dimension
	The define the working dimension size, already defined in the yield surface. More...

static constexpr SizeType	VoigtSize = YieldSurfaceType::VoigtSize
	The define the Voigt size, already defined in the yield surface. More...

	KRATOS_CLASS_POINTER_DEFINITION (GenericConstitutiveLawIntegratorKinematicPlasticity)
	Counted pointer of GenericConstitutiveLawIntegratorKinematicPlasticity. More...

Detailed Description

template<class TYieldSurfaceType>
class Kratos::GenericConstitutiveLawIntegratorKinematicPlasticity< TYieldSurfaceType >

This object integrates the predictive stress using the plasticity theory by means of linear/exponential softening or hardening + softening evolution laws.

The definitions of these classes is completely static, the derivation is done in a static way

Template Parameters

TYieldSurfaceType

The yield surface considered The plasticity integrator requires the definition of the following properties:

SOFTENING_TYPE: The softening behaviour considered (linear, exponential,etc...)
HARDENING_CURVE: The type of considered hardening curve (linear, exponential, pure plastic, etc...)
MAXIMUM_STRESS: The maximum stress that defines the exponential hardening
MAXIMUM_STRESS_POSITION: The maximum stress position that defines the exponential hardening
FRACTURE_ENERGY: A fracture energy-based function is used to describe strength degradation in post-peak regime
YOUNG_MODULUS: It defines the relationship between stress (force per unit area) and strain (proportional deformation) in a material in the linear elasticity regime of a uniaxial deformation.
YIELD_STRESS: Yield stress is the amount of stress that an object needs to experience for it to be permanently deformed. Does not require to be defined simmetrically, one YIELD_STRESS_COMPRESSION and other YIELD_STRESS_TENSION can be defined for not symmetric cases

Author: Alejandro Cornejo & Lucia Barbu

Member Typedef Documentation

◆ BoundedArrayType

template<class TYieldSurfaceType >

typedef array_1d<double, VoigtSize> Kratos::GenericConstitutiveLawIntegratorKinematicPlasticity< TYieldSurfaceType >::BoundedArrayType

The definition of the Voigt array type.

◆ BoundedMatrixType

template<class TYieldSurfaceType >

typedef BoundedMatrix<double, Dimension, Dimension> Kratos::GenericConstitutiveLawIntegratorKinematicPlasticity< TYieldSurfaceType >::BoundedMatrixType

The definition of the bounded matrix type.

◆ IndexType

template<class TYieldSurfaceType >

typedef std::size_t Kratos::GenericConstitutiveLawIntegratorKinematicPlasticity< TYieldSurfaceType >::IndexType

Definition of index.

◆ PlasticPotentialType

template<class TYieldSurfaceType >

typedef YieldSurfaceType::PlasticPotentialType Kratos::GenericConstitutiveLawIntegratorKinematicPlasticity< TYieldSurfaceType >::PlasticPotentialType

The type of plastic potential.

◆ YieldSurfaceType

template<class TYieldSurfaceType >

typedef TYieldSurfaceType Kratos::GenericConstitutiveLawIntegratorKinematicPlasticity< TYieldSurfaceType >::YieldSurfaceType

The type of yield surface.

Member Enumeration Documentation

◆ HardeningCurveType

template<class TYieldSurfaceType >

enum Kratos::GenericConstitutiveLawIntegratorKinematicPlasticity::HardeningCurveType

strong

Enumerator
LinearSoftening
ExponentialSoftening
InitialHardeningExponentialSoftening
PerfectPlasticity
CurveFittingHardening

◆ KinematicHardeningType

template<class TYieldSurfaceType >

enum Kratos::GenericConstitutiveLawIntegratorKinematicPlasticity::KinematicHardeningType

strong

Enumerator
LinearKinematicHardening
ArmstrongFrederickKinematicHardening
AraujoVoyiadjisKinematicHardening

Constructor & Destructor Documentation

◆ GenericConstitutiveLawIntegratorKinematicPlasticity() [1/2]

template<class TYieldSurfaceType >

Kratos::GenericConstitutiveLawIntegratorKinematicPlasticity< TYieldSurfaceType >::GenericConstitutiveLawIntegratorKinematicPlasticity ( )

inline

Initialization constructor.

◆ GenericConstitutiveLawIntegratorKinematicPlasticity() [2/2]

template<class TYieldSurfaceType >

Kratos::GenericConstitutiveLawIntegratorKinematicPlasticity< TYieldSurfaceType >::GenericConstitutiveLawIntegratorKinematicPlasticity ( GenericConstitutiveLawIntegratorKinematicPlasticity< TYieldSurfaceType > const & rOther )

inline

Copy constructor.

◆ ~GenericConstitutiveLawIntegratorKinematicPlasticity()

template<class TYieldSurfaceType >

virtual Kratos::GenericConstitutiveLawIntegratorKinematicPlasticity< TYieldSurfaceType >::~GenericConstitutiveLawIntegratorKinematicPlasticity ( )

inlinevirtual

Destructor.

Member Function Documentation

◆ CalculateBackStress()

template<class TYieldSurfaceType >

static void Kratos::GenericConstitutiveLawIntegratorKinematicPlasticity< TYieldSurfaceType >::CalculateBackStress	(	BoundedArrayType &	rPredictiveStressVector,
		ConstitutiveLaw::Parameters &	rValues,
		const Vector &	rPreviousStressVector,
		const Vector &	rPlasticStrainIncrement,
		Vector &	rBackStressVector
	)

inlinestatic

This method computes the back stress for the kinematic plasticity This method has 3 different ways of computing this back-stress: Linear hardening, Armstrong-Frederick and Araujo-Voyiadjis.

Parameters

rPredictiveStressVector	The predictive stress vector S = C:(E-Ep)
rKinematicParameters	The parameters required for the models
rPreviousStressVector	The previous stress vector
rPlasticStrainIncrement	The plastic strain increment of this iteration
rBackStressVector	The back-stress vector for the kinematic plasticity

◆ CalculateDerivativePlasticPotential()

template<class TYieldSurfaceType >

static void Kratos::GenericConstitutiveLawIntegratorKinematicPlasticity< TYieldSurfaceType >::CalculateDerivativePlasticPotential	(	const BoundedArrayType &	rPredictiveStressVector,
		const BoundedArrayType &	rDeviator,
		const double	J2,
		BoundedArrayType &	rDerivativePlasticPotential,
		ConstitutiveLaw::Parameters &	rValues
	)

inlinestatic

This method calculates the derivative of the plastic potential.

Parameters

rPredictiveStressVector	The predictive stress vector S = C:(E-Ep)
rDeviator	The deviatoric part of the stress vector
J2	The second invariant of the deviatoric part of the stress vector
rDerivativePlasticPotential	The derivative of the yield surface
rValues	Parameters of the constitutive law

◆ CalculateDerivativeYieldSurface()

template<class TYieldSurfaceType >

static void Kratos::GenericConstitutiveLawIntegratorKinematicPlasticity< TYieldSurfaceType >::CalculateDerivativeYieldSurface	(	const BoundedArrayType &	rPredictiveStressVector,
		const BoundedArrayType &	rDeviator,
		const double	J2,
		BoundedArrayType &	rDerivativeYieldSurface,
		ConstitutiveLaw::Parameters &	rValues
	)

inlinestatic

This method calculates the derivative of the yield surface.

Parameters

rPredictiveStressVector	The predictive stress vector S = C : (E-Ep)
rDeviator	The deviatoric part of the stress vector
J2	The second invariant of the deviatoric part of the stress vector
rDerivativeYieldSurface	The derivative of the yield surface
rValues	Parameters of the constitutive law

◆ CalculateEquivalentPlasticStrain()

template<class TYieldSurfaceType >

static void Kratos::GenericConstitutiveLawIntegratorKinematicPlasticity< TYieldSurfaceType >::CalculateEquivalentPlasticStrain	(	const Vector &	rStressVector,
		const double	UniaxialStress,
		const Vector &	rPlasticStrain,
		const double	r0,
		ConstitutiveLaw::Parameters &	rValues,
		double &	rEquivalentPlasticStrain
	)

inlinestatic

This method returns the equivalent plastic strain.

Parameters

rThreshold	The uniaxial stress threshold
rValues	Parameters of the constitutive law
rStressVector	The stress vector
r0	The tensile indicator
rEquivalentPlasticStrain	The equivalent plastic strain
rPlasticStrain	The plastic strain vector

◆ CalculateEquivalentStressThreshold()

template<class TYieldSurfaceType >

static void Kratos::GenericConstitutiveLawIntegratorKinematicPlasticity< TYieldSurfaceType >::CalculateEquivalentStressThreshold	(	const double	PlasticDissipation,
		const double	TensileIndicatorFactor,
		const double	CompressionIndicatorFactor,
		double &	rEquivalentStressThreshold,
		double &	rSlope,
		ConstitutiveLaw::Parameters &	rValues,
		const double	EquivalentPlasticStrain,
		const double	CharacteristicLength
	)

inlinestatic

This method computes the uniaxial threshold that differentiates the elastic-plastic behaviour.

Parameters

PlasticDissipation	The internal variable of energy dissipation due to plasticity
TensileIndicatorFactor	The tensile indicator
CompressionIndicatorFactor	The compressive indicator
rEquivalentStressThreshold	The maximum uniaxial stress of the linear behaviour
rSlope	The slope of the PlasticDiss-Threshold curve
rValues	Parameters of the constitutive law
EquivalentPlasticStrain	The equivalent plastic strain
CharacteristicLength	Characteristic length of the finite element

◆ CalculateEquivalentStressThresholdCurveFittingHardening()

template<class TYieldSurfaceType >

static void Kratos::GenericConstitutiveLawIntegratorKinematicPlasticity< TYieldSurfaceType >::CalculateEquivalentStressThresholdCurveFittingHardening	(	const double	PlasticDissipation,
		const double	TensileIndicatorFactor,
		const double	CompressionIndicatorFactor,
		double &	rEquivalentStressThreshold,
		double &	rSlope,
		ConstitutiveLaw::Parameters &	rValues,
		const double	EquivalentPlasticStrain,
		const double	CharacteristicLength
	)

inlinestatic

This method computes the uniaxial threshold using a perfect plasticity law.

Parameters

PlasticDissipation	The internal variable of energy dissipation due to plasticity
TensileIndicatorFactor	The tensile indicator
CompressionIndicatorFactor	The compressive indicator
rEquivalentStressThreshold	The maximum uniaxial stress of the linear behaviour
rSlope	The slope of the PlasticDiss-Threshold curve
rValues	Parameters of the constitutive law
EquivalentPlasticStrain	The Plastic Strain internal variable
CharacteristicLength	Characteristic length of the finite element

◆ CalculateEquivalentStressThresholdHardeningCurveExponentialSoftening()

template<class TYieldSurfaceType >

static void Kratos::GenericConstitutiveLawIntegratorKinematicPlasticity< TYieldSurfaceType >::CalculateEquivalentStressThresholdHardeningCurveExponentialSoftening	(	const double	PlasticDissipation,
		const double	TensileIndicatorFactor,
		const double	CompressionIndicatorFactor,
		double &	rEquivalentStressThreshold,
		double &	rSlope,
		ConstitutiveLaw::Parameters &	rValues,
		const double	CharacteristicLength
	)

inlinestatic

This method computes the uniaxial threshold using a exponential softening.

Parameters

PlasticDissipation	The internal variable of energy dissipation due to plasticity
TensileIndicatorFactor	The tensile indicator
CompressionIndicatorFactor	The compressive indicator
rEquivalentStressThreshold	The maximum uniaxial stress of the linear behaviour
rSlope	The slope of the PlasticDiss-Threshold curve
rValues	Parameters of the constitutive law

◆ CalculateEquivalentStressThresholdHardeningCurveInitialHardeningExponentialSoftening()

template<class TYieldSurfaceType >

static void Kratos::GenericConstitutiveLawIntegratorKinematicPlasticity< TYieldSurfaceType >::CalculateEquivalentStressThresholdHardeningCurveInitialHardeningExponentialSoftening	(	const double	PlasticDissipation,
		const double	TensileIndicatorFactor,
		const double	CompressionIndicatorFactor,
		double &	rEquivalentStressThreshold,
		double &	rSlope,
		ConstitutiveLaw::Parameters &	rValues
	)

inlinestatic

This method computes the uniaxial threshold using a hardening-softening law.

Parameters

PlasticDissipation	The internal variable of energy dissipation due to plasticity
TensileIndicatorFactor	The tensile indicator
CompressionIndicatorFactor	The compressive indicator
rEquivalentStressThreshold	The maximum uniaxial stress of the linear behaviour
rSlope	The slope of the PlasticDiss-Threshold curve
rValues	Parameters of the constitutive law

◆ CalculateEquivalentStressThresholdHardeningCurveLinearSoftening()

template<class TYieldSurfaceType >

static void Kratos::GenericConstitutiveLawIntegratorKinematicPlasticity< TYieldSurfaceType >::CalculateEquivalentStressThresholdHardeningCurveLinearSoftening	(	const double	PlasticDissipation,
		const double	TensileIndicatorFactor,
		const double	CompressionIndicatorFactor,
		double &	rEquivalentStressThreshold,
		double &	rSlope,
		ConstitutiveLaw::Parameters &	rValues
	)

inlinestatic

This method computes the uniaxial threshold using a linear softening.

Parameters

PlasticDissipation	The internal variable of energy dissipation due to plasticity
TensileIndicatorFactor	The tensile indicator
CompressionIndicatorFactor	The compressive indicator
rEquivalentStressThreshold	The maximum uniaxial stress of the linear behaviour
rSlope	The slope of the PlasticDiss-Threshold curve
rValues	Parameters of the constitutive law

◆ CalculateEquivalentStressThresholdHardeningCurvePerfectPlasticity()

template<class TYieldSurfaceType >

static void Kratos::GenericConstitutiveLawIntegratorKinematicPlasticity< TYieldSurfaceType >::CalculateEquivalentStressThresholdHardeningCurvePerfectPlasticity	(	const double	PlasticDissipation,
		const double	TensileIndicatorFactor,
		const double	CompressionIndicatorFactor,
		double &	rEquivalentStressThreshold,
		double &	rSlope,
		ConstitutiveLaw::Parameters &	rValues
	)

inlinestatic

This method computes the uniaxial threshold using a perfect plasticity law.

Parameters

PlasticDissipation	The internal variable of energy dissipation due to plasticity
TensileIndicatorFactor	The tensile indicator
CompressionIndicatorFactor	The compressive indicator
rEquivalentStressThreshold	The maximum uniaxial stress of the linear behaviour
rSlope	The slope of the PlasticDiss-Threshold curve
rValues	Parameters of the constitutive law

◆ CalculateHardeningParameter()

template<class TYieldSurfaceType >

static void Kratos::GenericConstitutiveLawIntegratorKinematicPlasticity< TYieldSurfaceType >::CalculateHardeningParameter	(	const BoundedArrayType &	rGFlux,
		const double	SlopeThreshold,
		const BoundedArrayType &	rHCapa,
		double &	rHardeningParameter
	)

inlinestatic

This method computes hardening parameter needed for the algorithm.

Parameters

rGFlux	The derivative of the plastic potential
SlopeThreshold	The slope of the PlasticDiss-Threshold curve
rHardeningParameter	The hardening parameter needed for the algorithm
rSlope	The slope of the PlasticDiss-Threshold curve

◆ CalculateIndicatorsFactors()

template<class TYieldSurfaceType >

static void Kratos::GenericConstitutiveLawIntegratorKinematicPlasticity< TYieldSurfaceType >::CalculateIndicatorsFactors	(	const BoundedArrayType &	rPredictiveStressVector,
		double &	rTensileIndicatorFactor,
		double &	rCompressionIndicatorFactor
	)

inlinestatic

This method computes the tensile/compressive indicators.

Parameters

rPredictiveStressVector	The predictive stress vector S = C:(E-Ep)
rTensileIndicatorFactor	The tensile indicator
rCompressionIndicatorFactor	The compressive indicator

◆ CalculatePlasticDenominator()

template<class TYieldSurfaceType >

static void Kratos::GenericConstitutiveLawIntegratorKinematicPlasticity< TYieldSurfaceType >::CalculatePlasticDenominator	(	const BoundedArrayType &	rFFlux,
		const BoundedArrayType &	rGFlux,
		const Matrix &	rConstitutiveMatrix,
		double &	rHardeningParameter,
		double &	rPlasticDenominator,
		const Vector &	rBackStressVector,
		ConstitutiveLaw::Parameters &	rValues
	)

inlinestatic

This method computes the plastic denominator needed to compute the plastic consistency factor.

Parameters

rYieldSurfaceDerivative	The derivative of the yield surface
rDerivativePlasticPotential	The derivative of the plastic potential
rConstitutiveMatrix	The elastic constitutive matrix
rHardeningParameter	The hardening parameter needed for the algorithm
rPlasticDenominator	The plasticity numerical value to obtain the pastic consistency factor

◆ CalculatePlasticDissipation()

template<class TYieldSurfaceType >

static void Kratos::GenericConstitutiveLawIntegratorKinematicPlasticity< TYieldSurfaceType >::CalculatePlasticDissipation	(	const BoundedArrayType &	rPredictiveStressVector,
		const double	TensileIndicatorFactor,
		const double	CompressionIndicatorFactor,
		const Vector &	PlasticStrainInc,
		double &	rPlasticDissipation,
		BoundedArrayType &	rHCapa,
		ConstitutiveLaw::Parameters &	rValues,
		const double	CharacteristicLength
	)

inlinestatic

This method computes the plastic dissipation of the plasticity model.

Parameters

rPredictiveStressVector	The predictive stress vector S = C:(E-Ep)
TensileIndicatorFactor	The tensile indicator
CompressionIndicatorFactor	The compressive indicator
PlasticStrainIncrement	The increment of plastic strain of this time step
PlasticDissipation	The internal variable of energy dissipation due to plasticity
rHCapa	The slope of the PlasticDiss-Threshold curve
rValues	Parameters of the constitutive law
CharacteristicLength	The equivalent length of the FE

◆ CalculatePlasticParameters()

template<class TYieldSurfaceType >

static double Kratos::GenericConstitutiveLawIntegratorKinematicPlasticity< TYieldSurfaceType >::CalculatePlasticParameters	(	BoundedArrayType &	rPredictiveStressVector,
		Vector &	rStrainVector,
		double &	rUniaxialStress,
		double &	rThreshold,
		double &	rPlasticDenominator,
		BoundedArrayType &	rYieldSurfaceDerivative,
		BoundedArrayType &	rDerivativePlasticPotential,
		double &	rPlasticDissipation,
		BoundedArrayType &	rPlasticStrainIncrement,
		const Matrix &	rConstitutiveMatrix,
		ConstitutiveLaw::Parameters &	rValues,
		const double	CharacteristicLength,
		const Vector &	rPlasticStrain,
		const Vector &	rBackStressVector
	)

inlinestatic

This method calculates all the plastic parameters required for the integration of the PredictiveStressVector.

Parameters

rPredictiveStressVector	The predictive stress vector S = C:(E-Ep)
rStrainVector	The equivalent strain vector of that integration point
rUniaxialStress	The equivalent uniaxial stress
rThreshold	The maximum uniaxial stress of the linear behaviour
rPlasticDenominator	The plasticity numerical value to obtain the pastic consistency factor
rYieldSurfaceDerivative	The derivative of the yield surface
rDerivativePlasticPotential	The derivative of the plastic potential
rPlasticDissipation	The internal variable of energy dissipation due to plasticity
rPlasticStrainIncrement	The increment of plastic strain of this time step
rConstitutiveMatrix	The elastic constitutive matrix
rValues	Parameters of the constitutive law
CharacteristicLength	The equivalent length of the FE

◆ CalculateTangentMatrix()

template<class TYieldSurfaceType >

static void Kratos::GenericConstitutiveLawIntegratorKinematicPlasticity< TYieldSurfaceType >::CalculateTangentMatrix	(	Matrix &	rTangent,
		const Matrix &	rElasticMatrix,
		const array_1d< double, VoigtSize > &	rFFluxVector,
		const array_1d< double, VoigtSize > &	rGFluxVector,
		const double	Denominator
	)

inlinestatic

This method calculates the analytical tangent tensor.

Parameters

rPredictiveStressVector	The predictive stress vector S = C:(E-Ep)
rDeviator	The deviatoric part of the stress vector
J2	The second invariant of the deviatoric part of the stress vector
rFFluxVector	The derivative of the yield surface
rValues	Parameters of the constitutive law

◆ Check()

template<class TYieldSurfaceType >

static int Kratos::GenericConstitutiveLawIntegratorKinematicPlasticity< TYieldSurfaceType >::Check ( const Properties & rMaterialProperties )

inlinestatic

This method defines in the CL integrator.

Returns: 0 if OK, 1 otherwise

◆ GetInitialUniaxialThreshold()

template<class TYieldSurfaceType >

static void Kratos::GenericConstitutiveLawIntegratorKinematicPlasticity< TYieldSurfaceType >::GetInitialUniaxialThreshold	(	ConstitutiveLaw::Parameters &	rValues,
		double &	rThreshold
	)

inlinestatic

This method returns the initial uniaxial stress threshold.

Parameters

rThreshold	The uniaxial stress threshold
rValues	Parameters of the constitutive law

◆ IntegrateStressVector()

template<class TYieldSurfaceType >

static void Kratos::GenericConstitutiveLawIntegratorKinematicPlasticity< TYieldSurfaceType >::IntegrateStressVector	(	BoundedArrayType &	rPredictiveStressVector,
		Vector &	rStrainVector,
		double &	rUniaxialStress,
		double &	rThreshold,
		double &	rPlasticDenominator,
		BoundedArrayType &	rYieldSurfaceDerivative,
		BoundedArrayType &	rDerivativePlasticPotential,
		double &	rPlasticDissipation,
		BoundedArrayType &	rPlasticStrainIncrement,
		Matrix &	rConstitutiveMatrix,
		Vector &	rPlasticStrain,
		ConstitutiveLaw::Parameters &	rValues,
		const double	CharacteristicLength,
		Vector &	rBackStressVector,
		const Vector &	rPreviousStressVector
	)

inlinestatic

This method integrates the predictive stress vector with the CL using differents evolution laws using the backward euler scheme.

Parameters

rPredictiveStressVector	The predictive stress vector S = C:(E-Ep)
rStrainVector	The equivalent strain vector of that integration point
rUniaxialStress	The equivalent uniaxial stress
rThreshold	The maximum uniaxial stress of the linear behaviour
rPlasticDenominator	The plasticity numerical value to obtain the pastic consistency factor
rYieldSurfaceDerivative	The derivative of the yield surface
rDerivativePlasticPotential	The derivative of the plastic potential
rPlasticDissipation	The internal variable of energy dissipation due to plasticity
rPlasticStrainIncrement	The increment of plastic strain of this time step
rConstitutiveMatrix	The elastic constitutive matrix
rPlasticStrain	The elastic constitutive matrix
rValues	Parameters of the constitutive law
CharacteristicLength	The equivalent length of the FE
rBackStressVector	The so-called BackStressVector used for the kinematic hardening
rPreviousStressVector	The previous converged stress vector

◆ KRATOS_CLASS_POINTER_DEFINITION()

template<class TYieldSurfaceType >

Kratos::GenericConstitutiveLawIntegratorKinematicPlasticity< TYieldSurfaceType >::KRATOS_CLASS_POINTER_DEFINITION ( GenericConstitutiveLawIntegratorKinematicPlasticity< TYieldSurfaceType > )

Counted pointer of GenericConstitutiveLawIntegratorKinematicPlasticity.

◆ operator=()

template<class TYieldSurfaceType >

GenericConstitutiveLawIntegratorKinematicPlasticity& Kratos::GenericConstitutiveLawIntegratorKinematicPlasticity< TYieldSurfaceType >::operator= ( GenericConstitutiveLawIntegratorKinematicPlasticity< TYieldSurfaceType > const & rOther )

inline

Assignment operator.

Member Data Documentation

◆ Dimension

template<class TYieldSurfaceType >

constexpr SizeType Kratos::GenericConstitutiveLawIntegratorKinematicPlasticity< TYieldSurfaceType >::Dimension = YieldSurfaceType::Dimension

staticconstexpr

The define the working dimension size, already defined in the yield surface.

◆ tolerance

template<class TYieldSurfaceType >

constexpr double Kratos::GenericConstitutiveLawIntegratorKinematicPlasticity< TYieldSurfaceType >::tolerance = std::numeric_limits<double>::epsilon()

staticconstexpr

The machine precision tolerance.

◆ VoigtSize

template<class TYieldSurfaceType >

constexpr SizeType Kratos::GenericConstitutiveLawIntegratorKinematicPlasticity< TYieldSurfaceType >::VoigtSize = YieldSurfaceType::VoigtSize

staticconstexpr

The define the Voigt size, already defined in the yield surface.

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

/home/runner/work/Documentation/Documentation/master/applications/ConstitutiveLawsApplication/custom_constitutive/auxiliary_files/cl_integrators/generic_cl_integrator_kinematic_plasticity.h

Public Types

Public Member Functions

Static Public Member Functions

Type Definitions

Detailed Description

template<class TYieldSurfaceType> class Kratos::GenericConstitutiveLawIntegratorKinematicPlasticity< TYieldSurfaceType >

Member Typedef Documentation

◆ BoundedArrayType

◆ BoundedMatrixType

◆ IndexType

◆ PlasticPotentialType

◆ YieldSurfaceType

Member Enumeration Documentation

◆ HardeningCurveType

◆ KinematicHardeningType

Constructor & Destructor Documentation

◆ GenericConstitutiveLawIntegratorKinematicPlasticity() [1/2]

◆ GenericConstitutiveLawIntegratorKinematicPlasticity() [2/2]

◆ ~GenericConstitutiveLawIntegratorKinematicPlasticity()

Member Function Documentation

◆ CalculateBackStress()

◆ CalculateDerivativePlasticPotential()

◆ CalculateDerivativeYieldSurface()

◆ CalculateEquivalentPlasticStrain()

◆ CalculateEquivalentStressThreshold()

◆ CalculateEquivalentStressThresholdCurveFittingHardening()

◆ CalculateEquivalentStressThresholdHardeningCurveExponentialSoftening()

◆ CalculateEquivalentStressThresholdHardeningCurveInitialHardeningExponentialSoftening()

◆ CalculateEquivalentStressThresholdHardeningCurveLinearSoftening()

◆ CalculateEquivalentStressThresholdHardeningCurvePerfectPlasticity()

◆ CalculateHardeningParameter()

◆ CalculateIndicatorsFactors()

◆ CalculatePlasticDenominator()

◆ CalculatePlasticDissipation()

◆ CalculatePlasticParameters()

◆ CalculateTangentMatrix()

◆ Check()

◆ GetInitialUniaxialThreshold()

◆ IntegrateStressVector()

◆ KRATOS_CLASS_POINTER_DEFINITION()

◆ operator=()

Member Data Documentation

◆ Dimension

◆ tolerance

◆ VoigtSize

template<class TYieldSurfaceType>
class Kratos::GenericConstitutiveLawIntegratorKinematicPlasticity< TYieldSurfaceType >