Implementation of elastic (non-linear) St. Kirchhoff equation. More...

#include <users_modules/basic_finite_elements/src/NonLinearElasticElement.hpp>

Inheritance diagram for NonlinearElasticElement::FunctionsToCalculatePiolaKirchhoffI< TYPE >:

Collaboration diagram for NonlinearElasticElement::FunctionsToCalculatePiolaKirchhoffI< TYPE >:

Public Member Functions
	FunctionsToCalculatePiolaKirchhoffI ()

virtual	~FunctionsToCalculatePiolaKirchhoffI ()=default

MoFEMErrorCode	calculateC_CauchyDeformationTensor ()

MoFEMErrorCode	calculateE_GreenStrain ()

MoFEMErrorCode	calculateS_PiolaKirchhoffII ()

virtual MoFEMErrorCode	calculateP_PiolaKirchhoffI (const BlockData block_data, boost::shared_ptr< const NumeredEntFiniteElement > fe_ptr)
	Function overload to implement user material. More...

virtual MoFEMErrorCode	calculateCauchyStress (const BlockData block_data, boost::shared_ptr< const NumeredEntFiniteElement > fe_ptr)
	Function overload to implement user material. More...

virtual MoFEMErrorCode	setUserActiveVariables (int &nb_active_variables)
	add additional active variables More...

virtual MoFEMErrorCode	setUserActiveVariables (VectorDouble &activeVariables)
	Add additional independent variables More complex physical models depend on gradient of defamation and some additional variables. For example can depend on temperature. This function adds additional independent variables to the model. More...

virtual MoFEMErrorCode	calculateElasticEnergy (const BlockData block_data, boost::shared_ptr< const NumeredEntFiniteElement > fe_ptr)
	Calculate elastic energy density. More...

virtual MoFEMErrorCode	calculatesIGma_EshelbyStress (const BlockData block_data, boost::shared_ptr< const NumeredEntFiniteElement > fe_ptr)
	Calculate Eshelby stress. More...

virtual MoFEMErrorCode	getDataOnPostProcessor (std::map< std::string, std::vector< VectorDouble >> &field_map, std::map< std::string, std::vector< MatrixDouble >> &grad_map)
	Do operations when pre-process. More...

Public Attributes
FTensor::Index< 'i', 3 >	i

FTensor::Index< 'j', 3 >	j

FTensor::Index< 'k', 3 >	k

double	lambda

double	mu

MatrixBoundedArray< TYPE, 9 >	F

MatrixBoundedArray< TYPE, 9 >	C

MatrixBoundedArray< TYPE, 9 >	E

MatrixBoundedArray< TYPE, 9 >	S

MatrixBoundedArray< TYPE, 9 >	invF

MatrixBoundedArray< TYPE, 9 >	P

MatrixBoundedArray< TYPE, 9 >	sIGma

MatrixBoundedArray< TYPE, 9 >	h

MatrixBoundedArray< TYPE, 9 >	H

MatrixBoundedArray< TYPE, 9 >	invH

MatrixBoundedArray< TYPE, 9 >	sigmaCauchy

FTensor::Tensor2< FTensor::PackPtr< TYPE *, 0 >, 3, 3 >	t_F

FTensor::Tensor2< FTensor::PackPtr< TYPE *, 0 >, 3, 3 >	t_C

FTensor::Tensor2< FTensor::PackPtr< TYPE *, 0 >, 3, 3 >	t_E

FTensor::Tensor2< FTensor::PackPtr< TYPE *, 0 >, 3, 3 >	t_S

FTensor::Tensor2< FTensor::PackPtr< TYPE *, 0 >, 3, 3 >	t_invF

FTensor::Tensor2< FTensor::PackPtr< TYPE *, 0 >, 3, 3 >	t_P

FTensor::Tensor2< FTensor::PackPtr< TYPE *, 0 >, 3, 3 >	t_sIGma

FTensor::Tensor2< FTensor::PackPtr< TYPE *, 0 >, 3, 3 >	t_h

FTensor::Tensor2< FTensor::PackPtr< TYPE *, 0 >, 3, 3 >	t_H

FTensor::Tensor2< FTensor::PackPtr< TYPE *, 0 >, 3, 3 >	t_invH

FTensor::Tensor2< FTensor::PackPtr< TYPE *, 0 >, 3, 3 >	t_sigmaCauchy

TYPE	J

TYPE	eNergy

TYPE	detH

TYPE	detF

int	gG
	Gauss point number. More...

CommonData *	commonDataPtr

MoFEM::VolumeElementForcesAndSourcesCore::UserDataOperator *	opPtr
	pointer to finite element tetrahedral operator More...

Static Protected Member Functions
static auto	resizeAndSet (MatrixBoundedArray< TYPE, 9 > &m)

Detailed Description

template<typename TYPE>
struct NonlinearElasticElement::FunctionsToCalculatePiolaKirchhoffI< TYPE >

Implementation of elastic (non-linear) St. Kirchhoff equation.

Examples: NeoHookean.hpp, and nonlinear_elastic.cpp.

Definition at line 79 of file NonLinearElasticElement.hpp.

Constructor & Destructor Documentation

◆ FunctionsToCalculatePiolaKirchhoffI()

template<typename TYPE >

NonlinearElasticElement::FunctionsToCalculatePiolaKirchhoffI< TYPE >::FunctionsToCalculatePiolaKirchhoffI ( )

inline

Definition at line 136 of file NonLinearElasticElement.hpp.

         : t_F(resizeAndSet(F)), t_C(resizeAndSet(C)), t_E(resizeAndSet(E)),
           t_S(resizeAndSet(S)), t_invF(resizeAndSet(invF)),
           t_P(resizeAndSet(P)), t_sIGma(resizeAndSet(sIGma)),
           t_h(resizeAndSet(h)), t_H(resizeAndSet(H)),
           t_invH(resizeAndSet(invH)), t_sigmaCauchy(resizeAndSet(sigmaCauchy)) {
     }

◆ ~FunctionsToCalculatePiolaKirchhoffI()

template<typename TYPE >

virtual NonlinearElasticElement::FunctionsToCalculatePiolaKirchhoffI< TYPE >::~FunctionsToCalculatePiolaKirchhoffI ( )

virtualdefault

Member Function Documentation

◆ calculateC_CauchyDeformationTensor()

template<typename TYPE >

MoFEMErrorCode NonlinearElasticElement::FunctionsToCalculatePiolaKirchhoffI< TYPE >::calculateC_CauchyDeformationTensor ( )

inline

Examples: NeoHookean.hpp.

Definition at line 160 of file NonLinearElasticElement.hpp.

                                                         {
       MoFEMFunctionBeginHot;
       t_C(i, j) = t_F(k, i) * t_F(k, j);
       MoFEMFunctionReturnHot(0);
     }

◆ calculateCauchyStress()

template<typename TYPE >

virtual MoFEMErrorCode NonlinearElasticElement::FunctionsToCalculatePiolaKirchhoffI< TYPE >::calculateCauchyStress	(	const BlockData	block_data,
		boost::shared_ptr< const NumeredEntFiniteElement >	fe_ptr
	)

inlinevirtual

Function overload to implement user material.

Calculation of Piola Kirchhoff I is implemented by user. Tangent matrix user implemented physical equation is calculated using automatic differentiation.

\(\mathbf{S} = \lambda\textrm{tr}[\mathbf{E}]\mathbf{I}+2\mu\mathbf{E}\)

Notes:
Number of actual Gauss point is accessed from variable gG.
Access to operator data structures is available by variable opPtr.
Access to common data is by commonDataPtr.

Parameters

block_data	used to give access to material parameters
fe_ptr	pointer to element data structures

For details look to:
NONLINEAR CONTINUUM MECHANICS FOR FINITE ELEMENT ANALYSIS, Javier Bonet, Richard D. Wood

Definition at line 240 of file NonLinearElasticElement.hpp.

                                                                {
       MoFEMFunctionBegin;
       sigmaCauchy.resize(3, 3);
       t_sigmaCauchy(i, j) = t_P(i, k) * t_F(j, k);
       t_sigmaCauchy(i, j) /= determinantTensor3by3(t_F);
       MoFEMFunctionReturn(0);
     }

◆ calculateE_GreenStrain()

template<typename TYPE >

MoFEMErrorCode NonlinearElasticElement::FunctionsToCalculatePiolaKirchhoffI< TYPE >::calculateE_GreenStrain ( )

inline

Definition at line 166 of file NonLinearElasticElement.hpp.

                                             {
       MoFEMFunctionBeginHot;
       constexpr auto t_kd = FTensor::Kronecker_Delta<double>();
       t_E(i, j) = 0.5 * (t_C(i, j) - t_kd(i, j));
       MoFEMFunctionReturnHot(0);
     }

◆ calculateElasticEnergy()

template<typename TYPE >

virtual MoFEMErrorCode NonlinearElasticElement::FunctionsToCalculatePiolaKirchhoffI< TYPE >::calculateElasticEnergy	(	const BlockData	block_data,
		boost::shared_ptr< const NumeredEntFiniteElement >	fe_ptr
	)

inlinevirtual

Calculate elastic energy density.

\[\Psi = \frac{1}{2}\lambda(\textrm{tr}[\mathbf{E}])^2+\mu\mathbf{E}:\mathbf{E}\]

Reimplemented in SmallStrainTranverslyIsotropic< TYPE >, SmallStrainTranverslyIsotropic< double >, SmallStrainTranverslyIsotropic< adouble >, NeoHookean< TYPE >, and Hooke< TYPE >.

Definition at line 292 of file NonLinearElasticElement.hpp.

                                                                {
       MoFEMFunctionBegin;
       lambda = LAMBDA(block_data.E, block_data.PoissonRatio);
       mu = MU(block_data.E, block_data.PoissonRatio);
       CHKERR calculateC_CauchyDeformationTensor();
       CHKERR calculateE_GreenStrain();
       TYPE trace = 0;
       eNergy = 0;
       for (int ii = 0; ii < 3; ii++) {
         trace += E(ii, ii);
         for (int jj = 0; jj < 3; jj++) {
           TYPE e = E(ii, jj);
           eNergy += mu * e * e;
         }
       }
       eNergy += 0.5 * lambda * trace * trace;
       MoFEMFunctionReturn(0);
     }

◆ calculateP_PiolaKirchhoffI()

template<typename TYPE >

virtual MoFEMErrorCode NonlinearElasticElement::FunctionsToCalculatePiolaKirchhoffI< TYPE >::calculateP_PiolaKirchhoffI	(	const BlockData	block_data,
		boost::shared_ptr< const NumeredEntFiniteElement >	fe_ptr
	)

inlinevirtual

Function overload to implement user material.

Calculation of Piola Kirchhoff I is implemented by user. Tangent matrix user implemented physical equation is calculated using automatic differentiation.

\(\mathbf{S} = \lambda\textrm{tr}[\mathbf{E}]\mathbf{I}+2\mu\mathbf{E}\)

Notes:
Number of actual Gauss point is accessed from variable gG.
Access to operator data structures is available by variable opPtr.
Access to common data is by commonDataPtr.

Parameters

block_data	used to give access to material parameters
fe_ptr	pointer to element data structures

For details look to:
NONLINEAR CONTINUUM MECHANICS FOR FINITE ELEMENT ANALYSIS, Javier Bonet, Richard D. Wood

Reimplemented in SmallStrainTranverslyIsotropic< TYPE >, SmallStrainTranverslyIsotropic< double >, SmallStrainTranverslyIsotropic< adouble >, VolumeLengthQuality< TYPE >, VolumeLengthQuality< TYPE >, NeoHookean< TYPE >, and Hooke< TYPE >.

Definition at line 204 of file NonLinearElasticElement.hpp.

                                                                {
       MoFEMFunctionBegin;
       lambda = LAMBDA(block_data.E, block_data.PoissonRatio);
       mu = MU(block_data.E, block_data.PoissonRatio);
       CHKERR calculateC_CauchyDeformationTensor();
       CHKERR calculateE_GreenStrain();
       CHKERR calculateS_PiolaKirchhoffII();
       t_P(i, j) = t_F(i, k) * t_S(k, j);
       MoFEMFunctionReturn(0);
     }

◆ calculateS_PiolaKirchhoffII()

template<typename TYPE >

MoFEMErrorCode NonlinearElasticElement::FunctionsToCalculatePiolaKirchhoffI< TYPE >::calculateS_PiolaKirchhoffII ( )

inline

Definition at line 174 of file NonLinearElasticElement.hpp.

                                                  {
       MoFEMFunctionBegin;
       constexpr auto t_kd = FTensor::Kronecker_Delta<double>();
       t_S(i, j) = (2 * mu) * t_E(i, j) + (lambda * t_E(k, k)) * t_kd(i, j);
       MoFEMFunctionReturn(0);
     }

◆ calculatesIGma_EshelbyStress()

template<typename TYPE >

virtual MoFEMErrorCode NonlinearElasticElement::FunctionsToCalculatePiolaKirchhoffI< TYPE >::calculatesIGma_EshelbyStress	(	const BlockData	block_data,
		boost::shared_ptr< const NumeredEntFiniteElement >	fe_ptr
	)

inlinevirtual

Calculate Eshelby stress.

Definition at line 315 of file NonLinearElasticElement.hpp.

                                                                {
       MoFEMFunctionBegin;
       CHKERR calculateP_PiolaKirchhoffI(block_data, fe_ptr);
       CHKERR calculateElasticEnergy(block_data, fe_ptr);
       constexpr auto t_kd = FTensor::Kronecker_Delta<double>();
       t_sIGma(i, j) = t_kd(i, j) * eNergy - t_F(k, i) * t_P(k, j);
       MoFEMFunctionReturn(0);
     }

◆ getDataOnPostProcessor()

template<typename TYPE >

virtual MoFEMErrorCode NonlinearElasticElement::FunctionsToCalculatePiolaKirchhoffI< TYPE >::getDataOnPostProcessor	(	std::map< std::string, std::vector< VectorDouble >> &	field_map,
		std::map< std::string, std::vector< MatrixDouble >> &	grad_map
	)

inlinevirtual

Do operations when pre-process.

Definition at line 328 of file NonLinearElasticElement.hpp.

                                                               {
       MoFEMFunctionBeginHot;
       MoFEMFunctionReturnHot(0);
     }

◆ resizeAndSet()

template<typename TYPE >

static auto NonlinearElasticElement::FunctionsToCalculatePiolaKirchhoffI< TYPE >::resizeAndSet ( MatrixBoundedArray< TYPE, 9 > & m )

inlinestaticprotected

Examples: NeoHookean.hpp.

Definition at line 336 of file NonLinearElasticElement.hpp.

                                                                       {
         m.resize(3, 3, false);
         return getFTensor2FromArray3by3(m, FTensor::Number<0>(), 0);
       };

◆ setUserActiveVariables() [1/2]

template<typename TYPE >

virtual MoFEMErrorCode NonlinearElasticElement::FunctionsToCalculatePiolaKirchhoffI< TYPE >::setUserActiveVariables ( int & nb_active_variables )

inlinevirtual

add additional active variables

Note: This member function if used should be implement by template member function Specialization, different implementation needed for TYPE=double or TYPE=adouble

More complex physical models depend on gradient of defamation and some additional variables. For example can depend on temperature. This function adds additional independent variables to the model.

Parameters

nb_active_variables number of active variables

Returns: error code

Reimplemented in SmallStrainTranverslyIsotropicADouble, and MyMat< TYPE >.

Definition at line 264 of file NonLinearElasticElement.hpp.

                                                                             {
       MoFEMFunctionBeginHot;
       MoFEMFunctionReturnHot(0);
     }

◆ setUserActiveVariables() [2/2]

template<typename TYPE >

virtual MoFEMErrorCode NonlinearElasticElement::FunctionsToCalculatePiolaKirchhoffI< TYPE >::setUserActiveVariables ( VectorDouble & activeVariables )

inlinevirtual

Add additional independent variables More complex physical models depend on gradient of defamation and some additional variables. For example can depend on temperature. This function adds additional independent variables to the model.

/note First 9 elements are reserved for gradient of deformation.

Parameters

activeVariables vector of deepened variables, values after index 9 should be add.

Returns: error code

Reimplemented in SmallStrainTranverslyIsotropicADouble, and MyMat< TYPE >.

Definition at line 282 of file NonLinearElasticElement.hpp.

                                                           {
       MoFEMFunctionBeginHot;
       MoFEMFunctionReturnHot(0);
     }

Member Data Documentation

◆ C

template<typename TYPE >

MatrixBoundedArray<TYPE, 9> NonlinearElasticElement::FunctionsToCalculatePiolaKirchhoffI< TYPE >::C

Examples: NeoHookean.hpp.

Definition at line 147 of file NonLinearElasticElement.hpp.

◆ commonDataPtr

template<typename TYPE >

CommonData* NonlinearElasticElement::FunctionsToCalculatePiolaKirchhoffI< TYPE >::commonDataPtr

common data shared between entities (f.e. field values at Gauss pts.)

Definition at line 155 of file NonLinearElasticElement.hpp.

◆ detF

template<typename TYPE >

TYPE NonlinearElasticElement::FunctionsToCalculatePiolaKirchhoffI< TYPE >::detF

Definition at line 152 of file NonLinearElasticElement.hpp.

◆ detH

template<typename TYPE >

TYPE NonlinearElasticElement::FunctionsToCalculatePiolaKirchhoffI< TYPE >::detH

Definition at line 152 of file NonLinearElasticElement.hpp.

◆ E

template<typename TYPE >

MatrixBoundedArray<TYPE, 9> NonlinearElasticElement::FunctionsToCalculatePiolaKirchhoffI< TYPE >::E

Definition at line 147 of file NonLinearElasticElement.hpp.

◆ eNergy

template<typename TYPE >

TYPE NonlinearElasticElement::FunctionsToCalculatePiolaKirchhoffI< TYPE >::eNergy

Examples: NeoHookean.hpp.

Definition at line 152 of file NonLinearElasticElement.hpp.

◆ F

template<typename TYPE >

MatrixBoundedArray<TYPE, 9> NonlinearElasticElement::FunctionsToCalculatePiolaKirchhoffI< TYPE >::F

Examples: NeoHookean.hpp.

Definition at line 147 of file NonLinearElasticElement.hpp.

◆ gG

template<typename TYPE >

int NonlinearElasticElement::FunctionsToCalculatePiolaKirchhoffI< TYPE >::gG

Gauss point number.

Definition at line 154 of file NonLinearElasticElement.hpp.

◆ h

template<typename TYPE >

MatrixBoundedArray<TYPE, 9> NonlinearElasticElement::FunctionsToCalculatePiolaKirchhoffI< TYPE >::h

Definition at line 147 of file NonLinearElasticElement.hpp.

◆ H

template<typename TYPE >

MatrixBoundedArray<TYPE, 9> NonlinearElasticElement::FunctionsToCalculatePiolaKirchhoffI< TYPE >::H

Definition at line 147 of file NonLinearElasticElement.hpp.

◆ i

template<typename TYPE >

FTensor::Index<'i', 3> NonlinearElasticElement::FunctionsToCalculatePiolaKirchhoffI< TYPE >::i

Definition at line 132 of file NonLinearElasticElement.hpp.

◆ invF

template<typename TYPE >

MatrixBoundedArray<TYPE, 9> NonlinearElasticElement::FunctionsToCalculatePiolaKirchhoffI< TYPE >::invF

Definition at line 147 of file NonLinearElasticElement.hpp.

◆ invH

template<typename TYPE >

MatrixBoundedArray<TYPE, 9> NonlinearElasticElement::FunctionsToCalculatePiolaKirchhoffI< TYPE >::invH

Definition at line 147 of file NonLinearElasticElement.hpp.

◆ j

template<typename TYPE >

FTensor::Index<'j', 3> NonlinearElasticElement::FunctionsToCalculatePiolaKirchhoffI< TYPE >::j

Definition at line 133 of file NonLinearElasticElement.hpp.

◆ J

template<typename TYPE >

TYPE NonlinearElasticElement::FunctionsToCalculatePiolaKirchhoffI< TYPE >::J

Examples: NeoHookean.hpp.

Definition at line 152 of file NonLinearElasticElement.hpp.

◆ k

template<typename TYPE >

FTensor::Index<'k', 3> NonlinearElasticElement::FunctionsToCalculatePiolaKirchhoffI< TYPE >::k

Definition at line 134 of file NonLinearElasticElement.hpp.

◆ lambda

template<typename TYPE >

double NonlinearElasticElement::FunctionsToCalculatePiolaKirchhoffI< TYPE >::lambda

Examples: NeoHookean.hpp.

Definition at line 146 of file NonLinearElasticElement.hpp.

◆ mu

template<typename TYPE >

double NonlinearElasticElement::FunctionsToCalculatePiolaKirchhoffI< TYPE >::mu

Examples: NeoHookean.hpp.

Definition at line 146 of file NonLinearElasticElement.hpp.

◆ opPtr

template<typename TYPE >

MoFEM::VolumeElementForcesAndSourcesCore::UserDataOperator* NonlinearElasticElement::FunctionsToCalculatePiolaKirchhoffI< TYPE >::opPtr

pointer to finite element tetrahedral operator

Definition at line 158 of file NonLinearElasticElement.hpp.

◆ P

template<typename TYPE >

MatrixBoundedArray<TYPE, 9> NonlinearElasticElement::FunctionsToCalculatePiolaKirchhoffI< TYPE >::P

Definition at line 147 of file NonLinearElasticElement.hpp.

◆ S

template<typename TYPE >

MatrixBoundedArray<TYPE, 9> NonlinearElasticElement::FunctionsToCalculatePiolaKirchhoffI< TYPE >::S

Definition at line 147 of file NonLinearElasticElement.hpp.

◆ sIGma

template<typename TYPE >

MatrixBoundedArray<TYPE, 9> NonlinearElasticElement::FunctionsToCalculatePiolaKirchhoffI< TYPE >::sIGma

Definition at line 147 of file NonLinearElasticElement.hpp.

◆ sigmaCauchy

template<typename TYPE >

MatrixBoundedArray<TYPE, 9> NonlinearElasticElement::FunctionsToCalculatePiolaKirchhoffI< TYPE >::sigmaCauchy

Definition at line 148 of file NonLinearElasticElement.hpp.

◆ t_C

template<typename TYPE >

FTensor::Tensor2<FTensor::PackPtr<TYPE *, 0>, 3, 3> NonlinearElasticElement::FunctionsToCalculatePiolaKirchhoffI< TYPE >::t_C

Examples: NeoHookean.hpp.

Definition at line 149 of file NonLinearElasticElement.hpp.

◆ t_E

template<typename TYPE >

FTensor::Tensor2<FTensor::PackPtr<TYPE *, 0>, 3, 3> NonlinearElasticElement::FunctionsToCalculatePiolaKirchhoffI< TYPE >::t_E

Definition at line 149 of file NonLinearElasticElement.hpp.

◆ t_F

template<typename TYPE >

FTensor::Tensor2<FTensor::PackPtr<TYPE *, 0>, 3, 3> NonlinearElasticElement::FunctionsToCalculatePiolaKirchhoffI< TYPE >::t_F

Examples: NeoHookean.hpp.

Definition at line 149 of file NonLinearElasticElement.hpp.

◆ t_h

template<typename TYPE >

FTensor::Tensor2<FTensor::PackPtr<TYPE *, 0>, 3, 3> NonlinearElasticElement::FunctionsToCalculatePiolaKirchhoffI< TYPE >::t_h

Definition at line 150 of file NonLinearElasticElement.hpp.

◆ t_H

template<typename TYPE >

FTensor::Tensor2<FTensor::PackPtr<TYPE *, 0>, 3, 3> NonlinearElasticElement::FunctionsToCalculatePiolaKirchhoffI< TYPE >::t_H

Definition at line 150 of file NonLinearElasticElement.hpp.

◆ t_invF

template<typename TYPE >

FTensor::Tensor2<FTensor::PackPtr<TYPE *, 0>, 3, 3> NonlinearElasticElement::FunctionsToCalculatePiolaKirchhoffI< TYPE >::t_invF

Definition at line 150 of file NonLinearElasticElement.hpp.

◆ t_invH

template<typename TYPE >

FTensor::Tensor2<FTensor::PackPtr<TYPE *, 0>, 3, 3> NonlinearElasticElement::FunctionsToCalculatePiolaKirchhoffI< TYPE >::t_invH

Definition at line 150 of file NonLinearElasticElement.hpp.

◆ t_P

template<typename TYPE >

FTensor::Tensor2<FTensor::PackPtr<TYPE *, 0>, 3, 3> NonlinearElasticElement::FunctionsToCalculatePiolaKirchhoffI< TYPE >::t_P

Examples: NeoHookean.hpp.

Definition at line 150 of file NonLinearElasticElement.hpp.

◆ t_S

template<typename TYPE >

FTensor::Tensor2<FTensor::PackPtr<TYPE *, 0>, 3, 3> NonlinearElasticElement::FunctionsToCalculatePiolaKirchhoffI< TYPE >::t_S

Examples: NeoHookean.hpp.

Definition at line 149 of file NonLinearElasticElement.hpp.

◆ t_sIGma

template<typename TYPE >

FTensor::Tensor2<FTensor::PackPtr<TYPE *, 0>, 3, 3> NonlinearElasticElement::FunctionsToCalculatePiolaKirchhoffI< TYPE >::t_sIGma

Definition at line 150 of file NonLinearElasticElement.hpp.

◆ t_sigmaCauchy

template<typename TYPE >

FTensor::Tensor2<FTensor::PackPtr<TYPE *, 0>, 3, 3> NonlinearElasticElement::FunctionsToCalculatePiolaKirchhoffI< TYPE >::t_sigmaCauchy

Definition at line 150 of file NonLinearElasticElement.hpp.

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

users_modules/basic_finite_elements/src/NonLinearElasticElement.hpp

Public Member Functions

Public Attributes

Static Protected Member Functions

Detailed Description

template<typename TYPE> struct NonlinearElasticElement::FunctionsToCalculatePiolaKirchhoffI< TYPE >

Constructor & Destructor Documentation

◆ FunctionsToCalculatePiolaKirchhoffI()

◆ ~FunctionsToCalculatePiolaKirchhoffI()

Member Function Documentation

◆ calculateC_CauchyDeformationTensor()

◆ calculateCauchyStress()

◆ calculateE_GreenStrain()

◆ calculateElasticEnergy()

◆ calculateP_PiolaKirchhoffI()

◆ calculateS_PiolaKirchhoffII()

◆ calculatesIGma_EshelbyStress()

◆ getDataOnPostProcessor()

◆ resizeAndSet()

◆ setUserActiveVariables() [1/2]

◆ setUserActiveVariables() [2/2]

Member Data Documentation

◆ C

◆ commonDataPtr

◆ detF

◆ detH

◆ E

◆ eNergy

◆ F

◆ gG

◆ h

◆ H

◆ i

◆ invF

◆ invH

◆ j

◆ J

◆ k

◆ lambda

◆ mu

◆ opPtr

◆ P

◆ S

◆ sIGma

◆ sigmaCauchy

◆ t_C

◆ t_E

◆ t_F

◆ t_h

◆ t_H

◆ t_invF

◆ t_invH

◆ t_P

◆ t_S

◆ t_sIGma

◆ t_sigmaCauchy

template<typename TYPE>
struct NonlinearElasticElement::FunctionsToCalculatePiolaKirchhoffI< TYPE >