FourthOrderTensor< DIM1, DIM2, DIM3, DIM4 > Class Template Reference

#include <FourthOrderTensor.hpp>

Inheritance diagram for FourthOrderTensor< DIM1, DIM2, DIM3, DIM4 >:

Collaboration diagram for FourthOrderTensor< DIM1, DIM2, DIM3, DIM4 >:

Public Member Functions
	FourthOrderTensor ()
template<unsigned CONTRACTED_DIM>
void	SetAsContractionOnFirstDimension (const c_matrix< double, DIM1, CONTRACTED_DIM > &rMatrix, FourthOrderTensor< CONTRACTED_DIM, DIM2, DIM3, DIM4 > &rTensor)
template<unsigned CONTRACTED_DIM>
void	SetAsContractionOnSecondDimension (const c_matrix< double, DIM2, CONTRACTED_DIM > &rMatrix, FourthOrderTensor< DIM1, CONTRACTED_DIM, DIM3, DIM4 > &rTensor)
template<unsigned CONTRACTED_DIM>
void	SetAsContractionOnThirdDimension (const c_matrix< double, DIM3, CONTRACTED_DIM > &rMatrix, FourthOrderTensor< DIM1, DIM2, CONTRACTED_DIM, DIM4 > &rTensor)
template<unsigned CONTRACTED_DIM>
void	SetAsContractionOnFourthDimension (const c_matrix< double, DIM4, CONTRACTED_DIM > &rMatrix, FourthOrderTensor< DIM1, DIM2, DIM3, CONTRACTED_DIM > &rTensor)
double &	operator() (unsigned M, unsigned N, unsigned P, unsigned Q)
void	Zero ()
std::vector< double > &	rGetData ()

Private Member Functions
unsigned	GetVectorIndex (unsigned M, unsigned N, unsigned P, unsigned Q)

Private Attributes
std::vector< double >	mData

Detailed Description

template<unsigned DIM1, unsigned DIM2, unsigned DIM3, unsigned DIM4>
class FourthOrderTensor< DIM1, DIM2, DIM3, DIM4 >

FourthOrderTensor

A class of fourth order tensors (i.e. tensors with four indices), over arbitrary dimension.

Definition at line 51 of file FourthOrderTensor.hpp.

Constructor & Destructor Documentation

template<unsigned DIM1, unsigned DIM2, unsigned DIM3, unsigned DIM4>

FourthOrderTensor< DIM1, DIM2, DIM3, DIM4 >::FourthOrderTensor

(

)

Constructor.

Definition at line 153 of file FourthOrderTensor.hpp.

References FourthOrderTensor< DIM1, DIM2, DIM3, DIM4 >::mData.

Referenced by FourthOrderTensor< DIM, DIM, DIM, DIM >::GetVectorIndex().

Member Function Documentation

template<unsigned DIM1, unsigned DIM2, unsigned DIM3, unsigned DIM4>

unsigned FourthOrderTensor< DIM1, DIM2, DIM3, DIM4 >::GetVectorIndex ( unsigned  M, unsigned  N, unsigned  P, unsigned  Q  )

inlineprivate

Returns

the index into the mData vector corresponding to this set of indices

Parameters

M	first index
N	second index
P	third index
Q	fourth index

Definition at line 63 of file FourthOrderTensor.hpp.

Referenced by FourthOrderTensor< DIM1, DIM2, DIM3, DIM4 >::operator()().

template<unsigned DIM1, unsigned DIM2, unsigned DIM3, unsigned DIM4>

double & FourthOrderTensor< DIM1, DIM2, DIM3, DIM4 >::operator()	(	unsigned	M,
		unsigned	N,
		unsigned	P,
		unsigned	Q
	)

Returns

the MNPQ-component of the tensor.

Parameters

M	first index
N	second index
P	third index
Q	fourth index

Definition at line 341 of file FourthOrderTensor.hpp.

References FourthOrderTensor< DIM1, DIM2, DIM3, DIM4 >::GetVectorIndex(), and FourthOrderTensor< DIM1, DIM2, DIM3, DIM4 >::mData.

Referenced by FourthOrderTensor< DIM, DIM, DIM, DIM >::GetVectorIndex().

template<unsigned DIM1, unsigned DIM2, unsigned DIM3, unsigned DIM4>

std::vector<double>& FourthOrderTensor< DIM1, DIM2, DIM3, DIM4 >::rGetData ( )

inline

Returns

a reference to the internal data of the tensor.

Definition at line 142 of file FourthOrderTensor.hpp.

Referenced by FourthOrderTensor< DIM1, DIM2, DIM3, DIM4 >::SetAsContractionOnFirstDimension(), FourthOrderTensor< DIM1, DIM2, DIM3, DIM4 >::SetAsContractionOnFourthDimension(), FourthOrderTensor< DIM1, DIM2, DIM3, DIM4 >::SetAsContractionOnSecondDimension(), and FourthOrderTensor< DIM1, DIM2, DIM3, DIM4 >::SetAsContractionOnThirdDimension().

template<unsigned DIM1, unsigned DIM2, unsigned DIM3, unsigned DIM4>

template<unsigned CONTRACTED_DIM>

void FourthOrderTensor< DIM1, DIM2, DIM3, DIM4 >::SetAsContractionOnFirstDimension	(	const c_matrix< double, DIM1, CONTRACTED_DIM > &	rMatrix,
		FourthOrderTensor< CONTRACTED_DIM, DIM2, DIM3, DIM4 > &	rTensor
	)

Set to be the inner product of a matrix another fourth order tensor, contracting on first component, i.e. sets this tensor to be R, where R_{abcd} = X_{aN} T_{Nbcd}

Parameters

rMatrix	A matrix
rTensor	A fourth order tensor

Definition at line 161 of file FourthOrderTensor.hpp.

References FourthOrderTensor< DIM1, DIM2, DIM3, DIM4 >::mData, FourthOrderTensor< DIM1, DIM2, DIM3, DIM4 >::rGetData(), and FourthOrderTensor< DIM1, DIM2, DIM3, DIM4 >::Zero().

Referenced by FourthOrderTensor< DIM, DIM, DIM, DIM >::GetVectorIndex().

template<unsigned DIM1, unsigned DIM2, unsigned DIM3, unsigned DIM4>

template<unsigned CONTRACTED_DIM>

void FourthOrderTensor< DIM1, DIM2, DIM3, DIM4 >::SetAsContractionOnFourthDimension	(	const c_matrix< double, DIM4, CONTRACTED_DIM > &	rMatrix,
		FourthOrderTensor< DIM1, DIM2, DIM3, CONTRACTED_DIM > &	rTensor
	)

Set to be the inner product of a matrix another fourth order tensor, contracting on fourth component, i.e. sets this tensor to be R, where R_{abcd} = X_{dN} T_{abcN}

Parameters

rMatrix	A matrix
rTensor	A fourth order tensor

Definition at line 297 of file FourthOrderTensor.hpp.

References FourthOrderTensor< DIM1, DIM2, DIM3, DIM4 >::mData, FourthOrderTensor< DIM1, DIM2, DIM3, DIM4 >::rGetData(), and FourthOrderTensor< DIM1, DIM2, DIM3, DIM4 >::Zero().

Referenced by FourthOrderTensor< DIM, DIM, DIM, DIM >::GetVectorIndex().

template<unsigned DIM1, unsigned DIM2, unsigned DIM3, unsigned DIM4>

template<unsigned CONTRACTED_DIM>

void FourthOrderTensor< DIM1, DIM2, DIM3, DIM4 >::SetAsContractionOnSecondDimension	(	const c_matrix< double, DIM2, CONTRACTED_DIM > &	rMatrix,
		FourthOrderTensor< DIM1, CONTRACTED_DIM, DIM3, DIM4 > &	rTensor
	)

Set to be the inner product of a matrix another fourth order tensor, contracting on second component, i.e. sets this tensor to be R, where R_{abcd} = X_{bN} T_{aNcd}

Parameters

rMatrix	A matrix
rTensor	A fourth order tensor

Definition at line 204 of file FourthOrderTensor.hpp.

References FourthOrderTensor< DIM1, DIM2, DIM3, DIM4 >::mData, FourthOrderTensor< DIM1, DIM2, DIM3, DIM4 >::rGetData(), and FourthOrderTensor< DIM1, DIM2, DIM3, DIM4 >::Zero().

Referenced by FourthOrderTensor< DIM, DIM, DIM, DIM >::GetVectorIndex().

template<unsigned DIM1, unsigned DIM2, unsigned DIM3, unsigned DIM4>

template<unsigned CONTRACTED_DIM>

void FourthOrderTensor< DIM1, DIM2, DIM3, DIM4 >::SetAsContractionOnThirdDimension	(	const c_matrix< double, DIM3, CONTRACTED_DIM > &	rMatrix,
		FourthOrderTensor< DIM1, DIM2, CONTRACTED_DIM, DIM4 > &	rTensor
	)

Set to be the inner product of a matrix another fourth order tensor, contracting on third component, i.e. sets this tensor to be R, where R_{abcd} = X_{cN} T_{abNd}

Parameters

rMatrix	A matrix
rTensor	A fourth order tensor

Definition at line 250 of file FourthOrderTensor.hpp.

References FourthOrderTensor< DIM1, DIM2, DIM3, DIM4 >::mData, FourthOrderTensor< DIM1, DIM2, DIM3, DIM4 >::rGetData(), and FourthOrderTensor< DIM1, DIM2, DIM3, DIM4 >::Zero().

Referenced by FourthOrderTensor< DIM, DIM, DIM, DIM >::GetVectorIndex().

template<unsigned DIM1, unsigned DIM2, unsigned DIM3, unsigned DIM4>

void FourthOrderTensor< DIM1, DIM2, DIM3, DIM4 >::Zero

(

)

Set all components of the tensor to zero.

Definition at line 352 of file FourthOrderTensor.hpp.

References FourthOrderTensor< DIM1, DIM2, DIM3, DIM4 >::mData.

Referenced by SchmidCostaExponentialLaw2d::ComputeStressAndStressDerivative(), CompressibleExponentialLaw< DIM >::ComputeStressAndStressDerivative(), FourthOrderTensor< DIM, DIM, DIM, DIM >::GetVectorIndex(), FourthOrderTensor< DIM1, DIM2, DIM3, DIM4 >::SetAsContractionOnFirstDimension(), FourthOrderTensor< DIM1, DIM2, DIM3, DIM4 >::SetAsContractionOnFourthDimension(), FourthOrderTensor< DIM1, DIM2, DIM3, DIM4 >::SetAsContractionOnSecondDimension(), and FourthOrderTensor< DIM1, DIM2, DIM3, DIM4 >::SetAsContractionOnThirdDimension().

Member Data Documentation

template<unsigned DIM1, unsigned DIM2, unsigned DIM3, unsigned DIM4>

std::vector<double> FourthOrderTensor< DIM1, DIM2, DIM3, DIM4 >::mData

private

The components of the tensor.

Definition at line 55 of file FourthOrderTensor.hpp.

Referenced by FourthOrderTensor< DIM1, DIM2, DIM3, DIM4 >::FourthOrderTensor(), FourthOrderTensor< DIM1, DIM2, DIM3, DIM4 >::operator()(), FourthOrderTensor< DIM, DIM, DIM, DIM >::rGetData(), FourthOrderTensor< DIM1, DIM2, DIM3, DIM4 >::SetAsContractionOnFirstDimension(), FourthOrderTensor< DIM1, DIM2, DIM3, DIM4 >::SetAsContractionOnFourthDimension(), FourthOrderTensor< DIM1, DIM2, DIM3, DIM4 >::SetAsContractionOnSecondDimension(), FourthOrderTensor< DIM1, DIM2, DIM3, DIM4 >::SetAsContractionOnThirdDimension(), and FourthOrderTensor< DIM1, DIM2, DIM3, DIM4 >::Zero().

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

• linalg/src/FourthOrderTensor.hpp