Short class definition. More...

#include <constitutive_model_utilities.hpp>

Collaboration diagram for Kratos::ConstitutiveModelUtilities:

Public Types
Type Definitions
typedef BoundedMatrix< double, 3, 3 >	MatrixType

typedef array_1d< double, 6 >	VectorType

Public Member Functions
Life Cycle
	ConstitutiveModelUtilities ()
	Default constructor. More...

	~ConstitutiveModelUtilities ()
	Destructor. More...

Static Public Member Functions
Operators
static MatrixType &	DeformationGradientTo3D (const MatrixType &rF, MatrixType &rF3D)

static MatrixType &	VelocityGradientTo3D (const MatrixType &rL, MatrixType &rL3D)

static void	CalculateRightCauchyGreen (const MatrixType &rDeformationGradientF, MatrixType &rRightCauchyGreen)

static void	CalculateLeftCauchyGreen (const Matrix &rDeformationGradientF, Matrix &rLeftCauchyGreen)

static void	CalculateInverseLeftCauchyGreen (const Matrix &rDeformationGradientF, Matrix &rInverseLeftCauchyGreen)

static void	RightCauchyToGreenLagrangeStrain (const MatrixType &rRightCauchyGreen, MatrixType &rStrainMatrix)

static void	LeftCauchyToAlmansiStrain (const MatrixType &rLeftCauchyGreen, MatrixType &rStrainMatrix)

static void	RightCauchyToGreenLagrangeStrain (const Matrix &rRightCauchyGreen, Vector &rStrainVector)

static void	CalculateGreenLagrangeStrain (const Matrix &rDeformationGradientF, Vector &rStrainVector)

static void	CalculateGreenLagrangeStrain (const MatrixType &rDeformationGradientF, MatrixType &rStrainMatrix)

static void	LeftCauchyToAlmansiStrain (const Matrix &rLeftCauchyGreen, Vector &rStrainVector)

static void	InverseLeftCauchyToAlmansiStrain (const Matrix &rInverseLeftCauchyGreen, Vector &rStrainVector)

static void	CalculateAlmansiStrain (const Matrix &rDeformationGradientF, Vector &rStrainVector)

static void	CalculateAlmansiStrain (const Matrix &rDeformationGradientF, Matrix &rStrainMatrix)

static Matrix &	ConstitutiveTensorToMatrix (const BoundedMatrix< double, 6, 6 > &rTensor, Matrix &rMatrix)

static MatrixType &	VectorToTensor (const Vector &rVector, MatrixType &rTensor)

static Vector &	TensorToVector (const MatrixType &rTensor, Vector &rVector)

static MatrixType &	VectorToSymmetricTensor (const array_1d< double, 6 > &rVector, MatrixType &rMatrix)

static void	SymmetricTensorToVector (const MatrixType &rMatrix, array_1d< double, 6 > &rVector)

static MatrixType &	StrainVectorToTensor (const array_1d< double, 6 > &rVector, MatrixType &rMatrix)

static void	StrainTensorToVector (const MatrixType &rMatrix, array_1d< double, 6 > &rVector)

static MatrixType &	StrainVectorToTensor (const Vector &rStrainVector, MatrixType &rStrainTensor)

static Vector &	StrainTensorToVector (const MatrixType &rStrainTensor, Vector &rStrainVector)

static MatrixType &	StressVectorToTensor (const Vector &rStressVector, MatrixType &rStressTensor)

static Vector &	StressTensorToVector (const MatrixType &rStressTensor, Vector &rStressVector)

static double &	CalculateStressNorm (const MatrixType &rStressMatrix, double &rStressNorm)

static double &	CalculateCharacteristicSize (const Geometry< Node > &rDomainGeometry, double &rCharacteristicSize)

Operations
static void	ComputePerturbationVector (Vector &rPerturbationVector, const Vector &InputVector)

static Vector	EigenValuesDirectMethod (const Matrix &A)

static void	InvertMatrix3 (const MatrixType &InputMatrix, MatrixType &InvertedMatrix, double &InputMatrixDet)

static void	ComputePerturbationVector (VectorType &rPerturbationVector, const VectorType &InputVector)

static double &	CalculateFourthOrderUnitTensor (double &rValue, const unsigned int &a, const unsigned int &b, const unsigned int &c, const unsigned int &d)

static double &	CalculateFourthOrderUnitTensor (const MatrixType &rIdentityMatrix, double &rValue, const unsigned int &a, const unsigned int &b, const unsigned int &c, const unsigned int &d)

static double &	CalculateFourthOrderTensor (const MatrixType &rMatrix, double &rValue, const double &a, const double &b, const double &c, const double &d)

static double &	CalculateSquareTensorDerivative (const MatrixType &rMatrix, double &rValue, const unsigned int &a, const unsigned int &b, const unsigned int &c, const unsigned int &d)

static double &	CalculateSquareTensorDerivative (const MatrixType &rMatrix, const MatrixType &rIdentityMatrix, double &rValue, const unsigned int &a, const unsigned int &b, const unsigned int &c, const unsigned int &d)

static double &	CalculateFourthOrderTensorProduct (const MatrixType &rMatrixA, const MatrixType &rMatrixB, double &rValue, const unsigned int &a, const unsigned int &b, const unsigned int &c, const unsigned int &d)

static double &	CalculateFourthOrderTensorProduct (const array_1d< double, 3 > &rVectorA, const array_1d< double, 3 > &rVectorB, double &rValue, const unsigned int &a, const unsigned int &b, const unsigned int &c, const unsigned int &d)

static double &	CalculateFourthOrderTensorProduct (const MatrixType &rMatrixA, const array_1d< double, 3 > &rVectorB, double &rValue, const unsigned int &a, const unsigned int &b, const unsigned int &c, const unsigned int &d)

static double &	CalculateFourthOrderTensorProduct (const array_1d< double, 3 > &rVectorA, const MatrixType &rMatrixB, double &rValue, const unsigned int &a, const unsigned int &b, const unsigned int &c, const unsigned int &d)

static bool	AreEqual (const double &rA, const double &rB)

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

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

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

static 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)

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

Detailed Description

Short class definition.

Detail class definition.

Member Typedef Documentation

◆ MatrixType

typedef BoundedMatrix<double,3,3> Kratos::ConstitutiveModelUtilities::MatrixType

◆ VectorType

typedef array_1d<double,6> Kratos::ConstitutiveModelUtilities::VectorType

Constructor & Destructor Documentation

◆ ConstitutiveModelUtilities()

Kratos::ConstitutiveModelUtilities::ConstitutiveModelUtilities ( )

inline

Default constructor.

◆ ~ConstitutiveModelUtilities()

Kratos::ConstitutiveModelUtilities::~ConstitutiveModelUtilities ( )

inline

Destructor.

Member Function Documentation

◆ AreEqual()

static bool Kratos::ConstitutiveModelUtilities::AreEqual	(	const double &	rA,
		const double &	rB
	)

inlinestatic

Checks if two doubles are equal

Parameters

rA	input double
rB	input double

◆ CalculateAlmansiStrain() [1/2]

static void Kratos::ConstitutiveModelUtilities::CalculateAlmansiStrain	(	const Matrix &	rDeformationGradientF,
		Matrix &	rStrainMatrix
	)

inlinestatic

Computes the AlmansiStrain e = 0.5*(1-invFT*invF) given the DeformationGradientF

Parameters

rDeformationGradientF	input matrix 3x3
rStrainMatrix	output matrix

◆ CalculateAlmansiStrain() [2/2]

static void Kratos::ConstitutiveModelUtilities::CalculateAlmansiStrain	(	const Matrix &	rDeformationGradientF,
		Vector &	rStrainVector
	)

inlinestatic

Computes the AlmansiStrain e = 0.5*(1-invFT*invF) given the DeformationGradientF

Parameters

rDeformationGradientF	input matrix 3x3
rStrainVector	output vector correct dimensions for the input/output is needed

◆ CalculateCharacteristicSize()

static double& Kratos::ConstitutiveModelUtilities::CalculateCharacteristicSize	(	const Geometry< Node > &	rDomainGeometry,
		double &	rCharacteristicSize
	)

inlinestatic

Computes the Characteristic Size of a Geometry

Parameters

rDomainGeomtry	input ElementGeometry
rCharacteristicSize	output Size of the Geometry

◆ CalculateFourthOrderTensor()

static double& Kratos::ConstitutiveModelUtilities::CalculateFourthOrderTensor	(	const MatrixType &	rMatrix,
		double &	rValue,
		const double &	a,
		const double &	b,
		const double &	c,
		const double &	d
	)

inlinestatic

Computes fourth order unit tensor

Parameters

rMatrix	input tensor identity matrix 3x3
rValue	output double
a	index for the fourth order tensor
b	index for the fourth order tensor
c	index for the fourth order tensor
d	index for the fourth order tensor

◆ CalculateFourthOrderTensorProduct() [1/4]

static double& Kratos::ConstitutiveModelUtilities::CalculateFourthOrderTensorProduct	(	const array_1d< double, 3 > &	rVectorA,
		const array_1d< double, 3 > &	rVectorB,
		double &	rValue,
		const unsigned int &	a,
		const unsigned int &	b,
		const unsigned int &	c,
		const unsigned int &	d
	)

inlinestatic

Computes the FourthOrder Tensor Product

Parameters

rVectorA	input vector 3
rVectorB	input vector 3
rValue	output double
a	index for the fourth order tensor
b	index for the fourth order tensor
c	index for the fourth order tensor
d	index for the fourth order tensor

◆ CalculateFourthOrderTensorProduct() [2/4]

static double& Kratos::ConstitutiveModelUtilities::CalculateFourthOrderTensorProduct	(	const array_1d< double, 3 > &	rVectorA,
		const MatrixType &	rMatrixB,
		double &	rValue,
		const unsigned int &	a,
		const unsigned int &	b,
		const unsigned int &	c,
		const unsigned int &	d
	)

inlinestatic

Computes the FourthOrder Tensor Product

Parameters

rVectorA	input vector 3
rMatrixB	input tensor matrix 3x3
rValue	output double
a	index for the fourth order tensor
b	index for the fourth order tensor
c	index for the fourth order tensor
d	index for the fourth order tensor

◆ CalculateFourthOrderTensorProduct() [3/4]

static double& Kratos::ConstitutiveModelUtilities::CalculateFourthOrderTensorProduct	(	const MatrixType &	rMatrixA,
		const array_1d< double, 3 > &	rVectorB,
		double &	rValue,
		const unsigned int &	a,
		const unsigned int &	b,
		const unsigned int &	c,
		const unsigned int &	d
	)

inlinestatic

Computes the FourthOrder Tensor Product

Parameters

rMatrixA	input tensor matrix 3x3
rVectorB	input vector 3
rValue	output double
a	index for the fourth order tensor
b	index for the fourth order tensor
c	index for the fourth order tensor
d	index for the fourth order tensor

◆ CalculateFourthOrderTensorProduct() [4/4]

static double& Kratos::ConstitutiveModelUtilities::CalculateFourthOrderTensorProduct	(	const MatrixType &	rMatrixA,
		const MatrixType &	rMatrixB,
		double &	rValue,
		const unsigned int &	a,
		const unsigned int &	b,
		const unsigned int &	c,
		const unsigned int &	d
	)

inlinestatic

Computes the FourthOrder Tensor Product

Parameters

rMatrixA	input tensor matrix 3x3
rMatrixB	input tensor matrix 3x3
rValue	output double
a	index for the fourth order tensor
b	index for the fourth order tensor
c	index for the fourth order tensor
d	index for the fourth order tensor

◆ CalculateFourthOrderUnitTensor() [1/2]

static double& Kratos::ConstitutiveModelUtilities::CalculateFourthOrderUnitTensor	(	const MatrixType &	rIdentityMatrix,
		double &	rValue,
		const unsigned int &	a,
		const unsigned int &	b,
		const unsigned int &	c,
		const unsigned int &	d
	)

inlinestatic

Computes fourth order unit tensor

Parameters

rIdentityMatrix	input tensor identity matrix 3x3
rValue	output double
a	index for the fourth order tensor
b	index for the fourth order tensor
c	index for the fourth order tensor
d	index for the fourth order tensor

◆ CalculateFourthOrderUnitTensor() [2/2]

static double& Kratos::ConstitutiveModelUtilities::CalculateFourthOrderUnitTensor	(	double &	rValue,
		const unsigned int &	a,
		const unsigned int &	b,
		const unsigned int &	c,
		const unsigned int &	d
	)

inlinestatic

Computes fourth order unit tensor

Parameters

rValue	output double
a	index for the fourth order tensor
b	index for the fourth order tensor
c	index for the fourth order tensor
d	index for the fourth order tensor

◆ CalculateGreenLagrangeStrain() [1/2]

static void Kratos::ConstitutiveModelUtilities::CalculateGreenLagrangeStrain	(	const Matrix &	rDeformationGradientF,
		Vector &	rStrainVector
	)

inlinestatic

Computes the GreenLagrangeStrain E= 0.5*(FT*F-1) given the DeformationGradientF

Parameters

rDeformationGradientF	input matrix 3x3
rStrainVector	output vector correct dimensions for the input/output is needed

◆ CalculateGreenLagrangeStrain() [2/2]

static void Kratos::ConstitutiveModelUtilities::CalculateGreenLagrangeStrain	(	const MatrixType &	rDeformationGradientF,
		MatrixType &	rStrainMatrix
	)

inlinestatic

Computes the GreenLagrangeStrain E= 0.5*(FT*F-1) given the DeformationGradientF

Parameters

rDeformationGradientF	input matrix 3x3
rStrainMatrix	output matrix

◆ CalculateInverseLeftCauchyGreen()

static void Kratos::ConstitutiveModelUtilities::CalculateInverseLeftCauchyGreen	(	const Matrix &	rDeformationGradientF,
		Matrix &	rInverseLeftCauchyGreen
	)

inlinestatic

Computes the InverseLeftCauchyGreen (invb=invFT*invF) given the DeformationGradientF

Parameters

rDeformationGradientF	input matrix
rRightCauchyGreen	output matrix correct dimensions for the input/output is needed

◆ CalculateLeftCauchyGreen()

static void Kratos::ConstitutiveModelUtilities::CalculateLeftCauchyGreen	(	const Matrix &	rDeformationGradientF,
		Matrix &	rLeftCauchyGreen
	)

inlinestatic

Computes the LeftCauchyGreen (b=F*FT) given the DeformationGradientF

Parameters

rDeformationGradientF	input matrix
rRightCauchyGreen	output matrix correct dimensions for the input/output is needed

◆ CalculateRightCauchyGreen()

static void Kratos::ConstitutiveModelUtilities::CalculateRightCauchyGreen	(	const MatrixType &	rDeformationGradientF,
		MatrixType &	rRightCauchyGreen
	)

inlinestatic

Computes the RightCauchyGreen (C=FT*F) given the DeformationGradientF

Parameters

rDeformationGradientF	input matrix
rRightCauchyGreen	output matrix correct dimensions for the input/output is needed

◆ CalculateSquareTensorDerivative() [1/2]

static double& Kratos::ConstitutiveModelUtilities::CalculateSquareTensorDerivative	(	const MatrixType &	rMatrix,
		const MatrixType &	rIdentityMatrix,
		double &	rValue,
		const unsigned int &	a,
		const unsigned int &	b,
		const unsigned int &	c,
		const unsigned int &	d
	)

inlinestatic

Computes the Square Tensor Derivative

Parameters

rMatrix	input tensor matrix 3x3
rIdentityMatrix	input tensor identity matrix 3x3
rValue	output double
a	index for the fourth order tensor
b	index for the fourth order tensor
c	index for the fourth order tensor
d	index for the fourth order tensor

◆ CalculateSquareTensorDerivative() [2/2]

static double& Kratos::ConstitutiveModelUtilities::CalculateSquareTensorDerivative	(	const MatrixType &	rMatrix,
		double &	rValue,
		const unsigned int &	a,
		const unsigned int &	b,
		const unsigned int &	c,
		const unsigned int &	d
	)

inlinestatic

Computes the Square Tensor Derivative

Parameters

rMatrix	input tensor matrix 3x3
rValue	output double
a	index for the fourth order tensor
b	index for the fourth order tensor
c	index for the fourth order tensor
d	index for the fourth order tensor

◆ CalculateStressNorm()

static double& Kratos::ConstitutiveModelUtilities::CalculateStressNorm	(	const MatrixType &	rStressMatrix,
		double &	rStressNorm
	)

inlinestatic

Computes the Stress Norm

Parameters

rStressMatrix	input matrix 3x3
rStressNorm	output double

◆ ComputePerturbationVector() [1/2]

static void Kratos::ConstitutiveModelUtilities::ComputePerturbationVector	(	Vector &	rPerturbationVector,
		const Vector &	InputVector
	)

inlinestatic

Calculates perturbations in each direction of a given vector.

Parameters

InputVector the given vector used to obtain the perturbations.

◆ ComputePerturbationVector() [2/2]

static void Kratos::ConstitutiveModelUtilities::ComputePerturbationVector	(	VectorType &	rPerturbationVector,
		const VectorType &	InputVector
	)

inlinestatic

Calculates perturbations in each direction of a given vector.

Parameters

InputVector the given vector used to obtain the perturbations.

◆ ConstitutiveMatrixTransformation()

static void Kratos::ConstitutiveModelUtilities::ConstitutiveMatrixTransformation	(	Matrix &	rConstitutiveMatrix,
		const Matrix &	rOriginalConstitutiveMatrix,
		const Matrix &	rF
	)

inlinestatic

This method performs a pull-back or a push-forward between two constitutive matrices

◆ ConstitutiveTensorToMatrix()

static Matrix& Kratos::ConstitutiveModelUtilities::ConstitutiveTensorToMatrix	(	const BoundedMatrix< double, 6, 6 > &	rTensor,
		Matrix &	rMatrix
	)

inlinestatic

Transforms a given 3D Constitutive Tensor to VoigtSize Constitutive Matrix: in the 3D case: from a second order tensor (3*3) Matrix to a corresponing (VoigtSize*VoightSize) Vector

Parameters

rTensor	the given second order tensor in matrix form
rMatrix	the corresponding second order tensor in voigt size matrix form

◆ DeformationGradientTo3D()

static MatrixType& Kratos::ConstitutiveModelUtilities::DeformationGradientTo3D	(	const MatrixType &	rF,
		MatrixType &	rF3D
	)

inlinestatic

Takes a matrix 2x2 and transforms it to a 3x3 adding a 3rd row and a 3rd column with a 1 in the diagonal if the matrix passed is 3D is does nothing if the matrix passed is bigger or smaller throws an error

Parameters

rF	: the DeformationGradientF in 2D / 3D
rF3D	: the DeformationGradientF in 3D

◆ EigenValuesDirectMethod()

static Vector Kratos::ConstitutiveModelUtilities::EigenValuesDirectMethod ( const Matrix & A )

inlinestatic

calculates the eigenvectiors using a direct method.

Parameters

A	the given square matrix the eigenvalues are to be calculated. WARNING only valid symmetric 3*3 Matrices

◆ GetConstitutiveComponent()

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

inlinestatic

This method gets the constitutive tensor components from a consitutive matrix supplied in voigt notation

◆ InverseLeftCauchyToAlmansiStrain()

static void Kratos::ConstitutiveModelUtilities::InverseLeftCauchyToAlmansiStrain	(	const Matrix &	rInverseLeftCauchyGreen,
		Vector &	rStrainVector
	)

inlinestatic

Computes the AlmansiStrain e = 0.5*(1-inv(b)) given the InverseCauchyGreenTensor

Parameters

rInverseLeftCauchyGreen	input matrix 3x3
rStrainVector	output vector correct dimensions for the input/output is needed

◆ InvertMatrix3()

static void Kratos::ConstitutiveModelUtilities::InvertMatrix3	(	const MatrixType &	InputMatrix,
		MatrixType &	InvertedMatrix,
		double &	InputMatrixDet
	)

inlinestatic

It inverts matrices of order 3 //VERIFIED!!!

Parameters

InputMatrix Is the input matrix (unchanged at output)

Returns: InvertedMatrix: Is the inverse of the input matrix; InputMatrixDet: Is the determinant of the input matrix

◆ LeftCauchyToAlmansiStrain() [1/2]

static void Kratos::ConstitutiveModelUtilities::LeftCauchyToAlmansiStrain	(	const Matrix &	rLeftCauchyGreen,
		Vector &	rStrainVector
	)

inlinestatic

Computes the AlmansiStrain e = 0.5*(1-inv(b)) given the InverseCauchyGreenTensor

Parameters

rInverseLeftCauchyGreen	input matrix 3x3
rStrainVector	output vector correct dimensions for the input/output is needed

◆ LeftCauchyToAlmansiStrain() [2/2]

static void Kratos::ConstitutiveModelUtilities::LeftCauchyToAlmansiStrain	(	const MatrixType &	rLeftCauchyGreen,
		MatrixType &	rStrainMatrix
	)

inlinestatic

Computes the AlmansiStrain e = 0.5*(1-inv(b)) given the InverseCauchyGreenTensor

Parameters

rInverseLeftCauchyGreen	input matrix 3x3
rStrainVector	output vector correct dimensions for the input/output is needed

◆ PullBackConstitutiveMatrix()

static void Kratos::ConstitutiveModelUtilities::PullBackConstitutiveMatrix	(	Matrix &	rConstitutiveMatrix,
		const Matrix &	rF
	)

inlinestatic

Methods to transform Constitutive Matrices:

Parameters

rConstitutiveMatrix	the constitutive matrix
rF	the DeformationGradientF matrix between the configurations This method performs a pull-back of the constitutive matrix

◆ PushForwardConstitutiveMatrix()

static void Kratos::ConstitutiveModelUtilities::PushForwardConstitutiveMatrix	(	Matrix &	rConstitutiveMatrix,
		const Matrix &	rF
	)

inlinestatic

This method performs a push-forward of the constitutive matrix

◆ RightCauchyToGreenLagrangeStrain() [1/2]

static void Kratos::ConstitutiveModelUtilities::RightCauchyToGreenLagrangeStrain	(	const Matrix &	rRightCauchyGreen,
		Vector &	rStrainVector
	)

inlinestatic

Computes the GreenLagrangeStrain E= 0.5*(C-1) given the RightCauchyGreenTensor

Parameters

rRightCauchyGreen	input matrix 3x3
rStrainVector	output vector correct dimensions for the input/output is needed

◆ RightCauchyToGreenLagrangeStrain() [2/2]

static void Kratos::ConstitutiveModelUtilities::RightCauchyToGreenLagrangeStrain	(	const MatrixType &	rRightCauchyGreen,
		MatrixType &	rStrainMatrix
	)

inlinestatic

Computes the GreenLagrangeStrain E= 0.5*(C-1) given the RightCauchyGreenTensor

Parameters

rRightCauchyGreen	input matrix 3x3
rStrainVector	output vector correct dimensions for the input/output is needed

◆ StrainTensorToVector() [1/2]

static void Kratos::ConstitutiveModelUtilities::StrainTensorToVector	(	const MatrixType &	rMatrix,
		array_1d< double, 6 > &	rVector
	)

inlinestatic

Transforms a given 3D symmetric Tensor to Voigt Notation: in the 3D case: from a second order tensor (3*3) Matrix to a corresponing (6*1) Vector

Parameters

rMatrix	the given symmetric second order tensor in matrix form
rVector	the corresponding second order tensor in vector form

◆ StrainTensorToVector() [2/2]

static Vector& Kratos::ConstitutiveModelUtilities::StrainTensorToVector	(	const MatrixType &	rStrainTensor,
		Vector &	rStrainVector
	)

inlinestatic

Transforms a given symmetric Strain Tensor to Voigt Notation: in the 3D case: from a second order tensor (3*3) Matrix to a corresponing (6*1) Vector in the 2Da case: from a second order tensor (3*3) Matrix to a corresponing (4*1) Vector in the 2D case: from a second order tensor (3*3) Matrix to a corresponing (3*1) Vector

Parameters

rStrainTensor the given symmetric second order stress tensor

Returns: the corresponding stress tensor in vector form

◆ StrainVectorToTensor() [1/2]

static MatrixType& Kratos::ConstitutiveModelUtilities::StrainVectorToTensor	(	const array_1d< double, 6 > &	rVector,
		MatrixType &	rMatrix
	)

inlinestatic

Transforms a given 3D symmetric Tensor from Voigt notation to Matrix notation in the 3D case: from a second order tensor (6*1) Vector to a corresponing (3*3) Matrix

Parameters

rVector	the given symmetric second order tensor in vector form
rMatrix	the corresponding second order tensor in matrix form

◆ StrainVectorToTensor() [2/2]

static MatrixType& Kratos::ConstitutiveModelUtilities::StrainVectorToTensor	(	const Vector &	rStrainVector,
		MatrixType &	rStrainTensor
	)

inlinestatic

Transforms a given symmetric Strain Tensor to Voigt Notation: in the 3D case: from a second order tensor (3*3) Matrix to a corresponing (6*1) Vector in the 2Da case: from a second order tensor (3*3) Matrix to a corresponing (4*1) Vector in the 2D case: from a second order tensor (3*3) Matrix to a corresponing (3*1) Vector

Parameters

rStrainTensor the given symmetric second order stress tensor

Returns: the corresponding stress tensor in vector form

◆ StressTensorToVector()

static Vector& Kratos::ConstitutiveModelUtilities::StressTensorToVector	(	const MatrixType &	rStressTensor,
		Vector &	rStressVector
	)

inlinestatic

Transforms a given symmetric Stress Tensor to Voigt Notation: in the 3D case: from a second order tensor (3*3) Matrix to a corresponing (6*1) Vector in the 2Da case: from a second order tensor (3*3) Matrix to a corresponing (4*1) Vector in the 2D case: from a second order tensor (3*3) Matrix to a corresponing (3*1) Vector

Parameters

rStressTensor the given symmetric second order stress tensor

Returns: the corresponding stress tensor in vector form

◆ StressVectorToTensor()

static MatrixType& Kratos::ConstitutiveModelUtilities::StressVectorToTensor	(	const Vector &	rStressVector,
		MatrixType &	rStressTensor
	)

inlinestatic

Transforms a given symmetric Stress Tensor to Voigt Notation: in the 3D case: from a second order tensor (3*3) Matrix to a corresponing (6*1) Vector in the 2Da case: from a second order tensor (3*3) Matrix to a corresponing (4*1) Vector in the 2D case: from a second order tensor (3*3) Matrix to a corresponing (3*1) Vector

Parameters

rStressTensor the given symmetric second order stress tensor

Returns: the corresponding stress tensor in vector form

◆ SymmetricTensorToVector()

static void Kratos::ConstitutiveModelUtilities::SymmetricTensorToVector	(	const MatrixType &	rMatrix,
		array_1d< double, 6 > &	rVector
	)

inlinestatic

Transforms a given 3D symmetric Tensor to Voigt Notation: in the 3D case: from a second order tensor (3*3) Matrix to a corresponing (6*1) Vector

Parameters

rMatrix	the given symmetric second order tensor in matrix form
rVector	the corresponding second order tensor in vector form

◆ TensorToVector()

static Vector& Kratos::ConstitutiveModelUtilities::TensorToVector	(	const MatrixType &	rTensor,
		Vector &	rVector
	)

inlinestatic

Transforms a given non symmetric Tensor to a Vector: in the 3D case: from a second order tensor (3*3) Matrix to a corresponing (9*1) Vector in the 2D case: from a second order tensor (2*2) Matrix to a corresponing (4*1) Vector

Parameters

rTensor the given symmetric second order stress tensor

Returns: the corresponding stress tensor in vector form

◆ TransformConstitutiveComponent()

static double& Kratos::ConstitutiveModelUtilities::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
	)

inlinestatic

This method performs a pull-back or a push-forward between two constitutive tensor components

◆ VectorToSymmetricTensor()

static MatrixType& Kratos::ConstitutiveModelUtilities::VectorToSymmetricTensor	(	const array_1d< double, 6 > &	rVector,
		MatrixType &	rMatrix
	)

inlinestatic

Transforms a given 3D symmetric Tensor from Voigt notation to Matrix notation in the 3D case: from a second order tensor (6*1) Vector to a corresponing (3*3) Matrix

Parameters

rVector	the given symmetric second order tensor in vector form
rMatrix	the corresponding second order tensor in matrix form

◆ VectorToTensor()

static MatrixType& Kratos::ConstitutiveModelUtilities::VectorToTensor	(	const Vector &	rVector,
		MatrixType &	rTensor
	)

inlinestatic

Transforms a given Vector to a non symmetric 3D Tensor: in the 3D case: from a second order tensor (3*3) Matrix to a corresponing (9*1) Vector in the 2D case: from a second order tensor (3*3) Matrix to a corresponing (4*1) Vector

Parameters

rTensor the given symmetric second order stress tensor

Returns: the corresponding stress tensor in vector form

◆ VelocityGradientTo3D()

static MatrixType& Kratos::ConstitutiveModelUtilities::VelocityGradientTo3D	(	const MatrixType &	rL,
		MatrixType &	rL3D
	)

inlinestatic

Takes a matrix 2x2 and transforms it to a 3x3 adding a 3rd row and a 3rd column with a 0 in the diagonal if the matrix passed is 3D is does nothing if the matrix passed is bigger or smaller throws an error

Parameters

rL	: the VelocityGradient in 2D / 3D
rL3D	: the VelocityGradient in 3D

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

/home/runner/work/Documentation/Documentation/master/applications/ConstitutiveModelsApplication/custom_utilities/constitutive_model_utilities.hpp

Public Types

Public Member Functions

Static Public Member Functions

Detailed Description

Member Typedef Documentation

◆ MatrixType

◆ VectorType

Constructor & Destructor Documentation

◆ ConstitutiveModelUtilities()

◆ ~ConstitutiveModelUtilities()

Member Function Documentation

◆ AreEqual()

◆ CalculateAlmansiStrain() [1/2]

◆ CalculateAlmansiStrain() [2/2]

◆ CalculateCharacteristicSize()

◆ CalculateFourthOrderTensor()

◆ CalculateFourthOrderTensorProduct() [1/4]

◆ CalculateFourthOrderTensorProduct() [2/4]

◆ CalculateFourthOrderTensorProduct() [3/4]

◆ CalculateFourthOrderTensorProduct() [4/4]

◆ CalculateFourthOrderUnitTensor() [1/2]

◆ CalculateFourthOrderUnitTensor() [2/2]

◆ CalculateGreenLagrangeStrain() [1/2]

◆ CalculateGreenLagrangeStrain() [2/2]

◆ CalculateInverseLeftCauchyGreen()

◆ CalculateLeftCauchyGreen()

◆ CalculateRightCauchyGreen()

◆ CalculateSquareTensorDerivative() [1/2]

◆ CalculateSquareTensorDerivative() [2/2]

◆ CalculateStressNorm()

◆ ComputePerturbationVector() [1/2]

◆ ComputePerturbationVector() [2/2]

◆ ConstitutiveMatrixTransformation()

◆ ConstitutiveTensorToMatrix()

◆ DeformationGradientTo3D()

◆ EigenValuesDirectMethod()

◆ GetConstitutiveComponent()

◆ InverseLeftCauchyToAlmansiStrain()

◆ InvertMatrix3()

◆ LeftCauchyToAlmansiStrain() [1/2]

◆ LeftCauchyToAlmansiStrain() [2/2]

◆ PullBackConstitutiveMatrix()

◆ PushForwardConstitutiveMatrix()

◆ RightCauchyToGreenLagrangeStrain() [1/2]

◆ RightCauchyToGreenLagrangeStrain() [2/2]

◆ StrainTensorToVector() [1/2]

◆ StrainTensorToVector() [2/2]

◆ StrainVectorToTensor() [1/2]

◆ StrainVectorToTensor() [2/2]

◆ StressTensorToVector()

◆ StressVectorToTensor()

◆ SymmetricTensorToVector()

◆ TensorToVector()

◆ TransformConstitutiveComponent()

◆ VectorToSymmetricTensor()

◆ VectorToTensor()

◆ VelocityGradientTo3D()