This law defines an hyperelastic material according to the NeoHookean formulation for 2D-plane strain cases. More...

#include <hyper_elastic_isotropic_neo_hookean_plane_strain_2d.h>

Inheritance diagram for Kratos::HyperElasticIsotropicNeoHookeanPlaneStrain2D:

Collaboration diagram for Kratos::HyperElasticIsotropicNeoHookeanPlaneStrain2D:

Public Member Functions
Lyfe Cycle
	HyperElasticIsotropicNeoHookeanPlaneStrain2D ()
	Default constructor. More...

	HyperElasticIsotropicNeoHookeanPlaneStrain2D (const HyperElasticIsotropicNeoHookeanPlaneStrain2D &rOther)
	Copy constructor. More...

	~HyperElasticIsotropicNeoHookeanPlaneStrain2D () override
	Destructor. More...

Operations
ConstitutiveLaw::Pointer	Clone () const override
	Clone operation. More...

void	GetLawFeatures (Features &rFeatures) override
	This function is designed to be called once to check compatibility with element. More...

SizeType	WorkingSpaceDimension () override
	Dimension of the law: More...

SizeType	GetStrainSize () const override
	Voigt tensor size: More...

Public Member Functions inherited from Kratos::HyperElasticIsotropicNeoHookean3D
	HyperElasticIsotropicNeoHookean3D ()
	Default constructor. More...

	HyperElasticIsotropicNeoHookean3D (const HyperElasticIsotropicNeoHookean3D &rOther)
	Copy constructor. More...

	~HyperElasticIsotropicNeoHookean3D () override
	Destructor. More...

StrainMeasure	GetStrainMeasure () override
	Returns the expected strain measure of this constitutive law (by default Green-Lagrange) More...

StressMeasure	GetStressMeasure () override
	Returns the stress measure of this constitutive law (by default 2st Piola-Kirchhoff stress in voigt notation) More...

void	CalculateMaterialResponsePK1 (ConstitutiveLaw::Parameters &rValues) override
	Computes the material response: PK1 stresses and algorithmic ConstitutiveMatrix. More...

void	CalculateMaterialResponsePK2 (ConstitutiveLaw::Parameters &rValues) override
	Computes the material response: PK2 stresses and algorithmic ConstitutiveMatrix. More...

void	CalculateMaterialResponseKirchhoff (ConstitutiveLaw::Parameters &rValues) override
	Computes the material response: Kirchhoff stresses and algorithmic ConstitutiveMatrix. More...

void	CalculateMaterialResponseCauchy (ConstitutiveLaw::Parameters &rValues) override
	Computes the material response: Cauchy stresses and algorithmic ConstitutiveMatrix. More...

void	InitializeMaterialResponsePK1 (ConstitutiveLaw::Parameters &rValues) override
	Initialize the material response in terms of 1st Piola-Kirchhoff stresses. More...

void	InitializeMaterialResponsePK2 (ConstitutiveLaw::Parameters &rValues) override
	Initialize the material response in terms of 2nd Piola-Kirchhoff stresses. More...

void	InitializeMaterialResponseKirchhoff (ConstitutiveLaw::Parameters &rValues) override
	Initialize the material response in terms of Kirchhoff stresses. More...

void	InitializeMaterialResponseCauchy (ConstitutiveLaw::Parameters &rValues) override
	Initialize the material response in terms of Cauchy stresses. More...

void	FinalizeMaterialResponsePK1 (ConstitutiveLaw::Parameters &rValues) override
	Updates the material response: Cauchy stresses and Internal Variables. More...

void	FinalizeMaterialResponsePK2 (ConstitutiveLaw::Parameters &rValues) override
	Updates the material response: Cauchy stresses and Internal Variables. More...

void	FinalizeMaterialResponseKirchhoff (ConstitutiveLaw::Parameters &rValues) override
	Updates the material response: Cauchy stresses and Internal Variables. More...

void	FinalizeMaterialResponseCauchy (ConstitutiveLaw::Parameters &rValues) override
	Updates the material response: Cauchy stresses and Internal Variables. More...

bool	RequiresInitializeMaterialResponse () override
	If the CL requires to initialize the material response, called by the element in InitializeSolutionStep. More...

bool	RequiresFinalizeMaterialResponse () override
	If the CL requires to initialize the material response, called by the element in InitializeSolutionStep. More...

double &	CalculateValue (ConstitutiveLaw::Parameters &rParameterValues, const Variable< double > &rThisVariable, double &rValue) override
	It calculates the value of a specified variable (double) More...

Vector &	CalculateValue (ConstitutiveLaw::Parameters &rParameterValues, const Variable< Vector > &rThisVariable, Vector &rValue) override
	It calculates the value of a specified variable (Vector) More...

Matrix &	CalculateValue (ConstitutiveLaw::Parameters &rParameterValues, const Variable< Matrix > &rThisVariable, Matrix &rValue) override
	It calculates the value of a specified variable (Matrix) More...

int	Check (const Properties &rMaterialProperties, const GeometryType &rElementGeometry, const ProcessInfo &rCurrentProcessInfo) const override
	This function provides the place to perform checks on the completeness of the input. More...

	KRATOS_CLASS_POINTER_DEFINITION (HyperElasticIsotropicNeoHookean3D)
	Pointer definition of HyperElasticIsotropicNeoHookean3D. More...

Public Member Functions inherited from Kratos::ConstitutiveLaw
	KRATOS_CLASS_POINTER_DEFINITION (ConstitutiveLaw)

	KRATOS_DEFINE_LOCAL_FLAG (USE_ELEMENT_PROVIDED_STRAIN)

	KRATOS_DEFINE_LOCAL_FLAG (COMPUTE_STRESS)

	KRATOS_DEFINE_LOCAL_FLAG (COMPUTE_CONSTITUTIVE_TENSOR)

	KRATOS_DEFINE_LOCAL_FLAG (COMPUTE_STRAIN_ENERGY)

	KRATOS_DEFINE_LOCAL_FLAG (ISOCHORIC_TENSOR_ONLY)

	KRATOS_DEFINE_LOCAL_FLAG (VOLUMETRIC_TENSOR_ONLY)

	KRATOS_DEFINE_LOCAL_FLAG (MECHANICAL_RESPONSE_ONLY)

	KRATOS_DEFINE_LOCAL_FLAG (THERMAL_RESPONSE_ONLY)

	KRATOS_DEFINE_LOCAL_FLAG (INCREMENTAL_STRAIN_MEASURE)

	KRATOS_DEFINE_LOCAL_FLAG (INITIALIZE_MATERIAL_RESPONSE)

	KRATOS_DEFINE_LOCAL_FLAG (FINALIZE_MATERIAL_RESPONSE)

	KRATOS_DEFINE_LOCAL_FLAG (FINITE_STRAINS)

	KRATOS_DEFINE_LOCAL_FLAG (INFINITESIMAL_STRAINS)

	KRATOS_DEFINE_LOCAL_FLAG (THREE_DIMENSIONAL_LAW)

	KRATOS_DEFINE_LOCAL_FLAG (PLANE_STRAIN_LAW)

	KRATOS_DEFINE_LOCAL_FLAG (PLANE_STRESS_LAW)

	KRATOS_DEFINE_LOCAL_FLAG (AXISYMMETRIC_LAW)

	KRATOS_DEFINE_LOCAL_FLAG (U_P_LAW)

	KRATOS_DEFINE_LOCAL_FLAG (ISOTROPIC)

	KRATOS_DEFINE_LOCAL_FLAG (ANISOTROPIC)

	ConstitutiveLaw ()

	~ConstitutiveLaw () override

virtual Pointer	Create (Kratos::Parameters NewParameters) const
	It creates a new constitutive law pointer. More...

virtual Pointer	Create (Kratos::Parameters NewParameters, const Properties &rProperties) const
	It creates a new constitutive law pointer (version with properties) More...

void	SetInitialState (InitialState::Pointer pInitialState)

InitialState::Pointer	pGetInitialState ()

InitialState &	GetInitialState ()

bool	HasInitialState () const

template<typename TVectorType >
void	AddInitialStressVectorContribution (TVectorType &rStressVector)
	Adds the initial stress vector if it is defined in the InitialState. More...

template<typename TVectorType >
void	AddInitialStrainVectorContribution (TVectorType &rStrainVector)
	Adds the initial strain vector if it is defined in the InitialState. More...

template<typename TMatrixType >
void	AddInitialDeformationGradientMatrixContribution (TMatrixType &rF)
	Adds the initial strain vector if it is defined in the InitialState. More...

virtual bool	Has (const Variable< bool > &rThisVariable)
	Returns whether this constitutive Law has specified variable (boolean) More...

virtual bool	Has (const Variable< int > &rThisVariable)
	Returns whether this constitutive Law has specified variable (integer) More...

virtual bool	Has (const Variable< double > &rThisVariable)
	Returns whether this constitutive Law has specified variable (double) More...

virtual bool	Has (const Variable< Vector > &rThisVariable)
	Returns whether this constitutive Law has specified variable (Vector) More...

virtual bool	Has (const Variable< Matrix > &rThisVariable)
	Returns whether this constitutive Law has specified variable (Matrix) More...

virtual bool	Has (const Variable< array_1d< double, 3 > > &rThisVariable)
	Returns whether this constitutive Law has specified variable (array of 3 components) More...

virtual bool	Has (const Variable< array_1d< double, 6 > > &rThisVariable)
	Returns whether this constitutive Law has specified variable (array of 6 components) More...

virtual bool &	GetValue (const Variable< bool > &rThisVariable, bool &rValue)
	Returns the value of a specified variable (boolean) More...

virtual int &	GetValue (const Variable< int > &rThisVariable, int &rValue)

virtual double &	GetValue (const Variable< double > &rThisVariable, double &rValue)
	Returns the value of a specified variable (double) More...

virtual Vector &	GetValue (const Variable< Vector > &rThisVariable, Vector &rValue)
	Returns the value of a specified variable (Vector) More...

virtual Matrix &	GetValue (const Variable< Matrix > &rThisVariable, Matrix &rValue)
	Returns the value of a specified variable (Matrix) More...

virtual array_1d< double, 3 > &	GetValue (const Variable< array_1d< double, 3 > > &rThisVariable, array_1d< double, 3 > &rValue)
	Returns the value of a specified variable (array of 3 components) More...

virtual array_1d< double, 6 > &	GetValue (const Variable< array_1d< double, 6 > > &rThisVariable, array_1d< double, 6 > &rValue)
	Returns the value of a specified variable (array of 6 components) More...

virtual void	SetValue (const Variable< bool > &rVariable, const bool &Value, const ProcessInfo &rCurrentProcessInfo)
	Sets the value of a specified variable (boolean) More...

virtual void	SetValue (const Variable< int > &rVariable, const int &Value, const ProcessInfo &rCurrentProcessInfo)
	Sets the value of a specified variable (integer) More...

virtual void	SetValue (const Variable< double > &rVariable, const double &rValue, const ProcessInfo &rCurrentProcessInfo)
	Sets the value of a specified variable (double) More...

virtual void	SetValue (const Variable< Vector > &rVariable, const Vector &rValue, const ProcessInfo &rCurrentProcessInfo)
	Sets the value of a specified variable (Vector) More...

virtual void	SetValue (const Variable< Matrix > &rVariable, const Matrix &rValue, const ProcessInfo &rCurrentProcessInfo)
	Sets the value of a specified variable (Matrix) More...

virtual void	SetValue (const Variable< array_1d< double, 3 > > &rVariable, const array_1d< double, 3 > &rValue, const ProcessInfo &rCurrentProcessInfo)
	Sets the value of a specified variable (array of 3 components) More...

virtual void	SetValue (const Variable< array_1d< double, 6 > > &rVariable, const array_1d< double, 6 > &rValue, const ProcessInfo &rCurrentProcessInfo)
	Sets the value of a specified variable (array of 6 components) More...

virtual bool &	CalculateValue (Parameters &rParameterValues, const Variable< bool > &rThisVariable, bool &rValue)
	Calculates the value of a specified variable (bool) More...

virtual int &	CalculateValue (Parameters &rParameterValues, const Variable< int > &rThisVariable, int &rValue)
	Calculates the value of a specified variable (int) More...

virtual array_1d< double, 3 > &	CalculateValue (Parameters &rParameterValues, const Variable< array_1d< double, 3 > > &rVariable, array_1d< double, 3 > &rValue)
	Calculates the value of a specified variable (array of 3 components) More...

virtual array_1d< double, 6 > &	CalculateValue (Parameters &rParameterValues, const Variable< array_1d< double, 6 > > &rVariable, array_1d< double, 6 > &rValue)

virtual void	CalculateDerivative (Parameters &rParameterValues, const Variable< double > &rFunctionVariable, const Variable< double > &rDerivativeVariable, double &rOutput)
	Calculates derivatives of a given function. More...

virtual void	CalculateDerivative (Parameters &rParameterValues, const Variable< Vector > &rFunctionVariable, const Variable< double > &rDerivativeVariable, Vector &rOutput)
	Calculates derivatives of a given function. More...

virtual void	CalculateDerivative (Parameters &rParameterValues, const Variable< Matrix > &rFunctionVariable, const Variable< double > &rDerivativeVariable, Matrix &rOutput)
	Calculates derivatives of a given function. More...

virtual void	CalculateDerivative (Parameters &rParameterValues, const Variable< array_1d< double, 3 >> &rFunctionVariable, const Variable< double > &rDerivativeVariable, array_1d< double, 3 > &rOutput)
	Calculates derivatives of a given function. More...

virtual bool	ValidateInput (const Properties &rMaterialProperties)

virtual bool	IsIncremental ()

virtual void	InitializeMaterial (const Properties &rMaterialProperties, const GeometryType &rElementGeometry, const Vector &rShapeFunctionsValues)

virtual void	InitializeSolutionStep (const Properties &rMaterialProperties, const GeometryType &rElementGeometry, const Vector &rShapeFunctionsValues, const ProcessInfo &rCurrentProcessInfo)

virtual void	FinalizeSolutionStep (const Properties &rMaterialProperties, const GeometryType &rElementGeometry, const Vector &rShapeFunctionsValues, const ProcessInfo &rCurrentProcessInfo)

virtual void	InitializeNonLinearIteration (const Properties &rMaterialProperties, const GeometryType &rElementGeometry, const Vector &rShapeFunctionsValues, const ProcessInfo &rCurrentProcessInfo)

virtual void	FinalizeNonLinearIteration (const Properties &rMaterialProperties, const GeometryType &rElementGeometry, const Vector &rShapeFunctionsValues, const ProcessInfo &rCurrentProcessInfo)

void	CalculateMaterialResponse (Parameters &rValues, const StressMeasure &rStressMeasure)

virtual void	CalculateStressResponse (Parameters &rValues, Vector &rInternalVariables)

void	InitializeMaterialResponse (Parameters &rValues, const StressMeasure &rStressMeasure)
	Initialize the material response, called by the element in InitializeSolutionStep. More...

void	FinalizeMaterialResponse (Parameters &rValues, const StressMeasure &rStressMeasure)
	Finalize the material response, called by the element in FinalizeSolutionStep. More...

virtual void	ResetMaterial (const Properties &rMaterialProperties, const GeometryType &rElementGeometry, const Vector &rShapeFunctionsValues)

virtual Vector &	TransformStrains (Vector &rStrainVector, const Matrix &rF, StrainMeasure rStrainInitial, StrainMeasure rStrainFinal)

virtual Matrix &	TransformStresses (Matrix &rStressMatrix, const Matrix &rF, const double &rdetF, StressMeasure rStressInitial, StressMeasure rStressFinal)

virtual Vector &	TransformStresses (Vector &rStressVector, const Matrix &rF, const double &rdetF, StressMeasure rStressInitial, StressMeasure rStressFinal)

Vector &	TransformPK1Stresses (Vector &rStressVector, const Matrix &rF, const double &rdetF, StressMeasure rStressFinal)

Vector &	TransformPK2Stresses (Vector &rStressVector, const Matrix &rF, const double &rdetF, StressMeasure rStressFinal)

Vector &	TransformKirchhoffStresses (Vector &rStressVector, const Matrix &rF, const double &rdetF, StressMeasure rStressFinal)

Vector &	TransformCauchyStresses (Vector &rStressVector, const Matrix &rF, const double &rdetF, StressMeasure rStressFinal)

void	PullBackConstitutiveMatrix (Matrix &rConstitutiveMatrix, const Matrix &rF)

void	PushForwardConstitutiveMatrix (Matrix &rConstitutiveMatrix, const Matrix &rF)

virtual void	CalculateCauchyStresses (Vector &Cauchy_StressVector, const Matrix &F, const Vector &PK2_StressVector, const Vector &GreenLagrangeStrainVector)

std::string	Info () const override
	Turn back information as a string. More...

void	PrintInfo (std::ostream &rOStream) const override
	Print information about this object. More...

void	PrintData (std::ostream &rOStream) const override
	Print object's data. More...

Public Member Functions inherited from Kratos::Flags
Flags &	operator= (Flags const &rOther)
	Assignment operator. More...

	operator bool () const

Flags	operator~ () const

bool	operator! () const

void	AssignFlags (Flags const &rOther)

void	Set (const Flags ThisFlag)

void	Set (const Flags ThisFlag, bool Value)

void	Reset (const Flags ThisFlag)

void	Flip (const Flags ThisFlag)

void	SetPosition (IndexType Position, bool Value=true)

bool	GetPosition (IndexType Position) const

void	FlipPosition (IndexType Position)

void	ClearPosition (IndexType Position)

void	Clear ()

Flags	AsFalse () const

bool	Is (Flags const &rOther) const

bool	IsDefined (Flags const &rOther) const

bool	IsNot (Flags const &rOther) const

bool	IsNotDefined (Flags const &rOther) const

	KRATOS_CLASS_POINTER_DEFINITION (Flags)
	Pointer definition of Flags. More...

const Flags &	operator\|= (const Flags &Other)

const Flags &	operator&= (const Flags &Other)

	Flags ()
	Default constructor. More...

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

virtual	~Flags ()
	Destructor. More...

Protected Member Functions
Protected Operations
void	CalculateConstitutiveMatrixPK2 (Matrix &rConstitutiveMatrix, const Matrix &InverseCTensor, const double DeterminantF, const double LameLambda, const double LameMu) override
	It calculates the constitutive matrix C (PK2) More...

void	CalculateConstitutiveMatrixKirchhoff (Matrix &rConstitutiveMatrix, const double DeterminantF, const double LameLambda, const double LameMu) override
	It calculates the constitutive matrix C (Kirchoff) More...

void	CalculateGreenLagrangianStrain (ConstitutiveLaw::Parameters &rValues, Vector &rStrainVector) override
	It calculates the strain vector. More...

void	CalculateAlmansiStrain (ConstitutiveLaw::Parameters &rValues, Vector &rStrainVector) override
	Calculates the Almansi strains. More...

Protected Member Functions inherited from Kratos::ConstitutiveLaw
void	ContraVariantPushForward (Matrix &rMatrix, const Matrix &rF)

void	ContraVariantPullBack (Matrix &rMatrix, const Matrix &rF)

void	CoVariantPushForward (Matrix &rMatrix, const Matrix &rF)

void	CoVariantPullBack (Matrix &rMatrix, const Matrix &rF)

void	ConstitutiveMatrixTransformation (Matrix &rConstitutiveMatrix, const Matrix &rOriginalConstitutiveMatrix, const Matrix &rF)

double &	TransformConstitutiveComponent (double &rCabcd, const Matrix &rConstitutiveMatrix, const Matrix &rF, const unsigned int &a, const unsigned int &b, const unsigned int &c, const unsigned int &d)

double &	GetConstitutiveComponent (double &rCabcd, const Matrix &rConstitutiveMatrix, const unsigned int &a, const unsigned int &b, const unsigned int &c, const unsigned int &d)

Type Definitions
typedef ProcessInfo	ProcessInfoType
	The definition of the process info. More...

typedef ConstitutiveLaw	CLBaseType
	The definition of the CL base class. More...

typedef HyperElasticIsotropicNeoHookean3D	BaseType
	The definition of the base class. More...

typedef std::size_t	SizeType
	The definition of the size type. More...

typedef std::size_t	IndexType
	The definition of the index type. More...

static constexpr SizeType	Dimension = 2
	Static definition of the dimension. More...

static constexpr SizeType	VoigtSize = 3
	Static definition of the VoigtSize. More...

	KRATOS_CLASS_POINTER_DEFINITION (HyperElasticIsotropicNeoHookeanPlaneStrain2D)
	Pointer definition of HyperElasticIsotropicNeoHookeanPlaneStrain2D. More...

Serialization
class	Serializer

Additional Inherited Members
Public Types inherited from Kratos::HyperElasticIsotropicNeoHookean3D
typedef ProcessInfo	ProcessInfoType
	The definition of the process info. More...

typedef ConstitutiveLaw	BaseType
	The definition of the CL base class. More...

typedef std::size_t	SizeType
	The definition of the size type. More...

typedef std::size_t	IndexType
	The definition of the index type. More...

Public Types inherited from Kratos::ConstitutiveLaw
enum	StrainMeasure { StrainMeasure_Infinitesimal , StrainMeasure_GreenLagrange , StrainMeasure_Almansi , StrainMeasure_Hencky_Material , StrainMeasure_Hencky_Spatial , StrainMeasure_Deformation_Gradient , StrainMeasure_Right_CauchyGreen , StrainMeasure_Left_CauchyGreen , StrainMeasure_Velocity_Gradient }

enum	StressMeasure { StressMeasure_PK1 , StressMeasure_PK2 , StressMeasure_Kirchhoff , StressMeasure_Cauchy }

typedef ProcessInfo	ProcessInfoType

typedef std::size_t	SizeType

typedef Geometry< Node >	GeometryType

typedef Vector	StrainVectorType

typedef Vector	StressVectorType

typedef Matrix	VoigtSizeMatrixType

typedef Matrix	DeformationGradientMatrixType

Public Types inherited from Kratos::Flags
enum	FlagsList { Flag0 = BlockType(1) , Flag1 = BlockType(1) << 1 , Flag2 = BlockType(1) << 2 , Flag3 = BlockType(1) << 3 , Flag4 = BlockType(1) << 4 , Flag5 = BlockType(1) << 5 , Flag6 = BlockType(1) << 6 , Flag7 = BlockType(1) << 7 , Flag8 = BlockType(1) << 8 , Flag9 = BlockType(1) << 9 , Flag10 = BlockType(1) << 10 , Flag11 = BlockType(1) << 11 , Flag12 = BlockType(1) << 12 , Flag13 = BlockType(1) << 13 , Flag14 = BlockType(1) << 14 , Flag15 = BlockType(1) << 15 , Flag16 = BlockType(1) << 16 , Flag17 = BlockType(1) << 17 , Flag18 = BlockType(1) << 18 , Flag19 = BlockType(1) << 19 , Flag20 = BlockType(1) << 20 , Flag21 = BlockType(1) << 21 , Flag22 = BlockType(1) << 22 , Flag23 = BlockType(1) << 23 , Flag24 = BlockType(1) << 24 , Flag25 = BlockType(1) << 25 , Flag26 = BlockType(1) << 26 , Flag27 = BlockType(1) << 27 , Flag28 = BlockType(1) << 28 , Flag29 = BlockType(1) << 29 , Flag30 = BlockType(1) << 30 }

typedef int64_t	BlockType

typedef int64_t	FlagType

typedef std::size_t	IndexType

Static Public Member Functions inherited from Kratos::ConstitutiveLaw
static bool	HasSameType (const ConstitutiveLaw &rLHS, const ConstitutiveLaw &rRHS)
	This method is used to check that two Constitutive Laws are the same type (references) More...

static bool	HasSameType (const ConstitutiveLaw rLHS, const ConstitutiveLaw rRHS)
	This method is used to check that two Constitutive Laws are the same type (pointers) More...

Static Public Member Functions inherited from Kratos::Flags
static const Flags	AllDefined ()

static const Flags	AllTrue ()

static Flags	Create (IndexType ThisPosition, bool Value=true)

Static Public Attributes inherited from Kratos::HyperElasticIsotropicNeoHookean3D
static constexpr SizeType	Dimension = 3
	Static definition of the dimension. More...

static constexpr SizeType	VoigtSize = 6
	Static definition of the VoigtSize. More...

Static Protected Attributes inherited from Kratos::ConstitutiveLaw
static const unsigned int	msIndexVoigt3D6C [6][2] = { {0, 0}, {1, 1}, {2, 2}, {0, 1}, {1, 2}, {0, 2} }

static const unsigned int	msIndexVoigt2D4C [4][2] = { {0, 0}, {1, 1}, {2, 2}, {0, 1} }

static const unsigned int	msIndexVoigt2D3C [3][2] = { {0, 0}, {1, 1}, {0, 1} }

Detailed Description

This law defines an hyperelastic material according to the NeoHookean formulation for 2D-plane strain cases.

A neo-Hookean solid is a hyperelastic material model, similar to Hooke's law, that can be used for predicting the nonlinear stress-strain behavior of materials undergoing large deformations. The model was proposed by Ronald Rivlin in 1948. In contrast to linear elastic materials, the stress-strain curve of a neo-Hookean material is not linear. Instead, the relationship between applied stress and strain is initially linear, but at a certain point the stress-strain curve will plateau. The neo-Hookean model does not account for the dissipative release of energy as heat while straining the material and perfect elasticity is assumed at all stages of deformation. he neo-Hookean model is based on the statistical thermodynamics of cross-linked polymer chains and is usable for plastics and rubber-like substances. More info https://en.wikipedia.org/wiki/Neo-Hookean_solid

Author: Vicente Mataix Ferrandiz

Member Typedef Documentation

◆ BaseType

typedef HyperElasticIsotropicNeoHookean3D Kratos::HyperElasticIsotropicNeoHookeanPlaneStrain2D::BaseType

The definition of the base class.

◆ CLBaseType

typedef ConstitutiveLaw Kratos::HyperElasticIsotropicNeoHookeanPlaneStrain2D::CLBaseType

The definition of the CL base class.

◆ IndexType

typedef std::size_t Kratos::HyperElasticIsotropicNeoHookeanPlaneStrain2D::IndexType

The definition of the index type.

◆ ProcessInfoType

typedef ProcessInfo Kratos::HyperElasticIsotropicNeoHookeanPlaneStrain2D::ProcessInfoType

The definition of the process info.

◆ SizeType

typedef std::size_t Kratos::HyperElasticIsotropicNeoHookeanPlaneStrain2D::SizeType

The definition of the size type.

Constructor & Destructor Documentation

◆ HyperElasticIsotropicNeoHookeanPlaneStrain2D() [1/2]

Kratos::HyperElasticIsotropicNeoHookeanPlaneStrain2D::HyperElasticIsotropicNeoHookeanPlaneStrain2D ( )

Default constructor.

◆ HyperElasticIsotropicNeoHookeanPlaneStrain2D() [2/2]

Kratos::HyperElasticIsotropicNeoHookeanPlaneStrain2D::HyperElasticIsotropicNeoHookeanPlaneStrain2D ( const HyperElasticIsotropicNeoHookeanPlaneStrain2D & rOther )

Copy constructor.

◆ ~HyperElasticIsotropicNeoHookeanPlaneStrain2D()

Kratos::HyperElasticIsotropicNeoHookeanPlaneStrain2D::~HyperElasticIsotropicNeoHookeanPlaneStrain2D ( )

override

Destructor.

Member Function Documentation

◆ CalculateAlmansiStrain()

void Kratos::HyperElasticIsotropicNeoHookeanPlaneStrain2D::CalculateAlmansiStrain	(	ConstitutiveLaw::Parameters &	rValues,
		Vector &	rStrainVector
	)

overrideprotectedvirtual

Calculates the Almansi strains.

Parameters

Reimplemented from Kratos::HyperElasticIsotropicNeoHookean3D.

◆ CalculateConstitutiveMatrixKirchhoff()

void Kratos::HyperElasticIsotropicNeoHookeanPlaneStrain2D::CalculateConstitutiveMatrixKirchhoff	(	Matrix &	rConstitutiveMatrix,
		const double	DeterminantF,
		const double	LameLambda,
		const double	LameMu
	)

overrideprotectedvirtual

It calculates the constitutive matrix C (Kirchoff)

Parameters

rConstitutiveMatrix	The constitutive matrix
DeterminantF	The determinant of the deformation gradient
LameLambda	First Lame parameter
LameMu	Second Lame parameter

Reimplemented from Kratos::HyperElasticIsotropicNeoHookean3D.

◆ CalculateConstitutiveMatrixPK2()

void Kratos::HyperElasticIsotropicNeoHookeanPlaneStrain2D::CalculateConstitutiveMatrixPK2	(	Matrix &	rConstitutiveMatrix,
		const Matrix &	InverseCTensor,
		const double	DeterminantF,
		const double	LameLambda,
		const double	LameMu
	)

overrideprotectedvirtual

It calculates the constitutive matrix C (PK2)

Parameters

rConstitutiveMatrix	The constitutive matrix
InverseCTensor	The inverse right Cauchy-Green tensor
DeterminantF	The determinant of the deformation gradient
LameLambda	First Lame parameter
LameMu	Second Lame parameter

Reimplemented from Kratos::HyperElasticIsotropicNeoHookean3D.

◆ CalculateGreenLagrangianStrain()

void Kratos::HyperElasticIsotropicNeoHookeanPlaneStrain2D::CalculateGreenLagrangianStrain	(	ConstitutiveLaw::Parameters &	rValues,
		Vector &	rStrainVector
	)

overrideprotectedvirtual

It calculates the strain vector.

Parameters

rValues	The Internalvalues of the law
rStrainVector	The strain vector in Voigt notation

Reimplemented from Kratos::HyperElasticIsotropicNeoHookean3D.

◆ Clone()

ConstitutiveLaw::Pointer Kratos::HyperElasticIsotropicNeoHookeanPlaneStrain2D::Clone ( ) const

overridevirtual

Clone operation.

Reimplemented from Kratos::HyperElasticIsotropicNeoHookean3D.

◆ GetLawFeatures()

void Kratos::HyperElasticIsotropicNeoHookeanPlaneStrain2D::GetLawFeatures ( Features & rFeatures )

overridevirtual

This function is designed to be called once to check compatibility with element.

Parameters

rFeatures The Features of the law

Reimplemented from Kratos::HyperElasticIsotropicNeoHookean3D.

◆ GetStrainSize()

SizeType Kratos::HyperElasticIsotropicNeoHookeanPlaneStrain2D::GetStrainSize ( ) const

inlineoverridevirtual

Voigt tensor size:

Reimplemented from Kratos::HyperElasticIsotropicNeoHookean3D.

◆ KRATOS_CLASS_POINTER_DEFINITION()

Kratos::HyperElasticIsotropicNeoHookeanPlaneStrain2D::KRATOS_CLASS_POINTER_DEFINITION ( HyperElasticIsotropicNeoHookeanPlaneStrain2D )

Pointer definition of HyperElasticIsotropicNeoHookeanPlaneStrain2D.

◆ WorkingSpaceDimension()

SizeType Kratos::HyperElasticIsotropicNeoHookeanPlaneStrain2D::WorkingSpaceDimension ( )

inlineoverridevirtual

Dimension of the law:

Reimplemented from Kratos::HyperElasticIsotropicNeoHookean3D.

Friends And Related Function Documentation

◆ Serializer

friend class Serializer

friend

Member Data Documentation

◆ Dimension

constexpr SizeType Kratos::HyperElasticIsotropicNeoHookeanPlaneStrain2D::Dimension = 2

staticconstexpr

Static definition of the dimension.

◆ VoigtSize

constexpr SizeType Kratos::HyperElasticIsotropicNeoHookeanPlaneStrain2D::VoigtSize = 3

staticconstexpr

Static definition of the VoigtSize.

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

/home/runner/work/Documentation/Documentation/master/applications/ConstitutiveLawsApplication/custom_constitutive/finite_strains/hyperelasticity/hyper_elastic_isotropic_neo_hookean_plane_strain_2d.h
/home/runner/work/Documentation/Documentation/master/applications/ConstitutiveLawsApplication/custom_constitutive/finite_strains/hyperelasticity/hyper_elastic_isotropic_neo_hookean_plane_strain_2d.cpp

Public Member Functions

Protected Member Functions

Type Definitions

Serialization

Additional Inherited Members

Detailed Description

Member Typedef Documentation

◆ BaseType

◆ CLBaseType

◆ IndexType

◆ ProcessInfoType

◆ SizeType

Constructor & Destructor Documentation

◆ HyperElasticIsotropicNeoHookeanPlaneStrain2D() [1/2]

◆ HyperElasticIsotropicNeoHookeanPlaneStrain2D() [2/2]

◆ ~HyperElasticIsotropicNeoHookeanPlaneStrain2D()

Member Function Documentation

◆ CalculateAlmansiStrain()

◆ CalculateConstitutiveMatrixKirchhoff()

◆ CalculateConstitutiveMatrixPK2()

◆ CalculateGreenLagrangianStrain()

◆ Clone()

◆ GetLawFeatures()

◆ GetStrainSize()

◆ KRATOS_CLASS_POINTER_DEFINITION()

◆ WorkingSpaceDimension()

Friends And Related Function Documentation

◆ Serializer

Member Data Documentation

◆ Dimension

◆ VoigtSize