oofem::Tensor2_3d Class Reference

#include <tensor2.h>

Inheritance diagram for oofem::Tensor2_3d:

Collaboration diagram for oofem::Tensor2_3d:

Public Member Functions
	Tensor2_3d ()
	Tensor2_3d (const oofem::FloatArrayF< 9 > &array)
const FloatArrayF< 9 >	to_voigt_form ()
Tensor2_3d	computeTensorPower (double pow, int nf=10)
std::pair< FloatArrayF< 3 >, FloatMatrixF< 3, 3 > >	eigs (int nf=15) const
Tensor4_3d	compute_dCm_dC (double m, int nf=10)
Tensor2_3d	compute_cofactor () const
double	compute_determinant () const
std::pair< double, Tensor2_3d >	compute_determinant_and_cofactor () const
Tensor2_3d	compute_inverse () const
Tensor2_3d	compute_tensor_cross_product (const Tensor2_3d &B) const
Tensor4_3d	compute_tensor_cross_product () const

Static Public Member Functions
static Tensor2_3d	computeTensorPowerFromEigs (const FloatArray &eVals, const FloatMatrix &eVecs, double m)
static Tensor2_3d	computeTensorPowerFromEigs (const FloatArray &eVals, const FloatMatrix &eVecs, double m, const FloatArray &coeff)
static Tensor4_3d	compute_dCm_dC_fromEigs (double m, const FloatArray &lam, const FloatMatrix &N)
static const Tensor2_3d	UnitTensor ()

Detailed Description

Definition at line 57 of file tensor2.h.

Constructor & Destructor Documentation

Tensor2_3d() [1/2]

oofem::Tensor2_3d::Tensor2_3d ( )

inline

Creates second-order tensor in 3d Initialized with zeros

Definition at line 67 of file tensor2.h.

Referenced by compute_cofactor(), compute_determinant_and_cofactor(), compute_inverse(), compute_tensor_cross_product(), computeTensorPower(), computeTensorPowerFromEigs(), computeTensorPowerFromEigs(), eigs(), and UnitTensor().

Tensor2_3d() [2/2]

oofem::Tensor2_3d::Tensor2_3d ( const oofem::FloatArrayF< 9 > & array )

inline

Creates a second-order order tensor in 3d from floatarrayf<9>

Definition at line 83 of file tensor2.h.

References oofem::FloatArrayF< N >::at().

Member Function Documentation

compute_cofactor()

Tensor2_3d oofem::Tensor2_3d::compute_cofactor ( ) const

inline

Computes cofactor

Returns

Second-order cofactor tensor

Definition at line 433 of file tensor2.h.

References compute_tensor_cross_product(), i_3, j_3, and Tensor2_3d().

Referenced by oofem::BaseHyperElasticMaterial::compute_dJ_dF().

compute_dCm_dC()

Tensor4_3d oofem::Tensor2_3d::compute_dCm_dC ( double m, int nf = 10 )

inline

Calculated derivative of C^m wrt C

Parameters

m	- power
nf	- number of significant figures

Returns

Second-order tensor dC^m_dC

Definition at line 287 of file tensor2.h.

References compute_dCm_dC_fromEigs(), and eigs().

compute_dCm_dC_fromEigs()

Tensor4_3d oofem::Tensor2_3d::compute_dCm_dC_fromEigs ( double m, const FloatArray & lam, const FloatMatrix & N )

inlinestatic

Calculated derivative of C^m wrt C from given eigenvalues, eigenvectors and power m

Parameters

m	- power
nf	- number of significant figures

Returns

Second-order tensor dC^m_dC

Definition at line 300 of file tensor2.h.

References oofem::FloatArray::at(), oofem::FloatMatrix::at(), and N.

Referenced by compute_dCm_dC(), and oofem::OgdenCompressibleMaterial::give3dMaterialStiffnessMatrix_dPdF().

compute_determinant()

double oofem::Tensor2_3d::compute_determinant ( ) const

inline

Computes determinant

Returns

determinant

Definition at line 444 of file tensor2.h.

References compute_tensor_cross_product(), m_3, and n_3.

Referenced by oofem::BaseHyperElasticMaterial::compute_d2I1_Cdev_dF2(), oofem::BaseHyperElasticMaterial::compute_dI2_Cdev_dF(), oofem::BaseHyperElasticMaterial::compute_dVolumetricEnergy_dF(), oofem::BaseHyperElasticMaterial::compute_I1_Cdev_from_F(), oofem::BaseHyperElasticMaterial::compute_I2_Cdev_from_F(), oofem::BaseHyperElasticMaterial::compute_I3_C_from_C(), oofem::BaseHyperElasticMaterial::compute_I3_C_from_F(), and oofem::OgdenCompressibleMaterial::giveDeviatoricSecondPKStressVector_3d().

compute_determinant_and_cofactor()

std::pair< double, Tensor2_3d > oofem::Tensor2_3d::compute_determinant_and_cofactor ( ) const

inline

Computes determinant and cofactor

Returns

determinant and cofactor

Definition at line 453 of file tensor2.h.

References compute_tensor_cross_product(), i_3, j_3, and Tensor2_3d().

Referenced by oofem::BaseHyperElasticMaterial::compute_d2I2_Cdev_dF2(), oofem::BaseHyperElasticMaterial::compute_d2I3_C_dF2(), oofem::BaseHyperElasticMaterial::compute_d2VolumetricEnergy_dF2(), oofem::BaseHyperElasticMaterial::compute_dI1_Cdev_dF(), oofem::BaseHyperElasticMaterial::compute_dI2_Cdev_dF(), oofem::BaseHyperElasticMaterial::compute_dI3_C_dF(), compute_inverse(), oofem::SimoPisterMaterial::give3dMaterialStiffnessMatrix_dPdF(), and oofem::SimoPisterMaterial::giveFirstPKStressVector_3d().

compute_inverse()

Tensor2_3d oofem::Tensor2_3d::compute_inverse ( ) const

inline

Computes inverse

Returns

inverse second-order tensor

Definition at line 465 of file tensor2.h.

References compute_determinant_and_cofactor(), i_3, j_3, and Tensor2_3d().

Referenced by oofem::BaseHyperElasticMaterial::compute_d2I1_Cdev_dF2(), oofem::OgdenCompressibleMaterial::give3dMaterialStiffnessMatrix_dPdF(), and oofem::OgdenCompressibleMaterial::giveDeviatoricSecondPKStressVector_3d().

compute_tensor_cross_product() [1/2]

Tensor4_3d oofem::Tensor2_3d::compute_tensor_cross_product ( ) const

inline

Computes fourth-order tensor cross product

Returns

tensor cross product, eps_{ikm}eps_{jln}this_{mn}

Definition at line 489 of file tensor2.h.

Referenced by compute_cofactor(), compute_determinant(), and compute_determinant_and_cofactor().

compute_tensor_cross_product() [2/2]

Tensor2_3d oofem::Tensor2_3d::compute_tensor_cross_product ( const Tensor2_3d & B ) const

inline

Computes second-order tensor cross product

Parameters

tensor

to calculate tensor cross product with

Returns

tensor cross product, eps_{ikm}eps_{jln}this_{kl}B_{mn}

Definition at line 478 of file tensor2.h.

References Tensor2_3d().

Referenced by oofem::BaseHyperElasticMaterial::compute_d2I3_C_dF2(), oofem::BaseHyperElasticMaterial::compute_d2J_dF2(), oofem::BaseHyperElasticMaterial::compute_d2VolumetricEnergy_dF2(), and oofem::SimoPisterMaterial::give3dMaterialStiffnessMatrix_dPdF().

computeTensorPower()

Tensor2_3d oofem::Tensor2_3d::computeTensorPower ( double pow, int nf = 10 )

inline

Computes power of a second order tensor

Parameters

pow	power
nf	tolerance for eigenvalue calculation

Returns

Power of a Second-order tensor

Definition at line 121 of file tensor2.h.

References computeTensorPowerFromEigs(), eigs(), and Tensor2_3d().

computeTensorPowerFromEigs() [1/2]

Tensor2_3d oofem::Tensor2_3d::computeTensorPowerFromEigs ( const FloatArray & eVals, const FloatMatrix & eVecs, double m )

inlinestatic

Computes power of a second order tensor from eigenvalues and eigenvectors

Parameters

eVals	eigen values
eVecs	eigenvectors
m	power

Returns

Power of a Second-order tensor

Definition at line 135 of file tensor2.h.

References oofem::FloatArray::at(), and Tensor2_3d().

Referenced by computeTensorPower(), oofem::OgdenCompressibleMaterial::give3dMaterialStiffnessMatrix_dPdF(), and oofem::OgdenCompressibleMaterial::giveDeviatoricSecondPKStressVector_3d().

computeTensorPowerFromEigs() [2/2]

Tensor2_3d oofem::Tensor2_3d::computeTensorPowerFromEigs ( const FloatArray & eVals, const FloatMatrix & eVecs, double m, const FloatArray & coeff )

inlinestatic

Computes power of a second order tensor from eigenvalues and eigenvectors and given coeffcinets for each eigenvalue

Parameters

eVals	eigen values
eVecs	eigenvectors
m	power
coeff	coefficients

Returns

Power of a Second-order tensor

Definition at line 154 of file tensor2.h.

References oofem::FloatArray::at(), oofem::FloatMatrix::at(), and Tensor2_3d().

eigs()

std::pair< FloatArrayF< 3 >, FloatMatrixF< 3, 3 > > oofem::Tensor2_3d::eigs ( int nf = 15 ) const

inline

Solves the eigenvalues and eigenvectors of symmetric second-order tensor adapted from FloatMatrix function jacobi_

Parameters

nf	- number of significant figures

Returns

pair of eigenvalues and eigenvectors

Definition at line 174 of file tensor2.h.

References oofem::FloatArrayF< N >::at(), oofem::FloatMatrixF< N, M >::at(), OOFEM_ERROR, oofem::sum(), and Tensor2_3d().

Referenced by compute_dCm_dC(), computeTensorPower(), oofem::OgdenCompressibleMaterial::give3dMaterialStiffnessMatrix_dPdF(), and oofem::OgdenCompressibleMaterial::giveDeviatoricSecondPKStressVector_3d().

to_voigt_form()

const FloatArrayF< 9 > oofem::Tensor2_3d::to_voigt_form ( )

inline

Transforms a second-order tensor into a floatarrayf<9>, using the Voigt notation

Definition at line 99 of file tensor2.h.

Referenced by oofem::BlatzKoMaterial::giveFirstPKStressVector_3d(), oofem::MooneyRivlinCompressibleMaterial::giveFirstPKStressVector_3d(), oofem::OgdenCompressibleMaterial::giveFirstPKStressVector_3d(), and oofem::SimoPisterMaterial::giveFirstPKStressVector_3d().

UnitTensor()

const Tensor2_3d oofem::Tensor2_3d::UnitTensor ( )

inlinestatic

Creates second-order unit tensor

Returns

Second-order unit tensor

Definition at line 423 of file tensor2.h.

References Tensor2_3d().

Referenced by oofem::OgdenCompressibleMaterial::give3dMaterialStiffnessMatrix_dPdF().

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

• tensor2.h