VenantKirchhoffMaterialNonLinearPenalized< MeshType > Class Template Reference

#include <VenantKirchhoffMaterialNonLinearPenalized.hpp>

Inheritance diagram for VenantKirchhoffMaterialNonLinearPenalized< MeshType >:

Collaboration diagram for VenantKirchhoffMaterialNonLinearPenalized< MeshType >:

Protected Member Functions
void	setupVectorsParameters (void)
	construct the vectors for the parameters More...

Protected Attributes
vectorPtr_Type	M_stiff
	Vector: stiffness non-linear. More...
matrixSmall_Type	M_identity
Protected Attributes inherited from StructuralIsotropicConstitutiveLaw< MeshType >
dataPtr_Type	M_dataMaterial
	Protected Members. More...
FESpacePtr_Type	M_dispFESpace
ETFESpacePtr_Type	M_dispETFESpace
std::shared_ptr< const MapEpetra >	M_localMap
matrixPtr_Type	M_jacobian
	Matrix jacobian. More...
UInt	M_offset
	The Offset parameter. More...
vectorsParametersPtr_Type	M_vectorsParameters
	Map between markers and volumes on the mesh. More...

Type definitions
typedef StructuralIsotropicConstitutiveLaw< MeshType >	super
typedef super::data_Type	data_Type
typedef super::vector_Type	vector_Type
typedef super::matrix_Type	matrix_Type
typedef super::matrixPtr_Type	matrixPtr_Type
typedef super::vectorPtr_Type	vectorPtr_Type
typedef super::dataPtr_Type	dataPtr_Type
typedef super::displayerPtr_Type	displayerPtr_Type
typedef super::mapMarkerVolumesPtr_Type	mapMarkerVolumesPtr_Type
typedef super::mapMarkerVolumes_Type	mapMarkerVolumes_Type
typedef mapMarkerVolumes_Type::const_iterator	mapIterator_Type
typedef super::vectorVolumes_Type	vectorVolumes_Type
typedef std::shared_ptr< vectorVolumes_Type >	vectorVolumesPtr_Type
typedef super::mapMarkerIndexesPtr_Type	mapMarkerIndexesPtr_Type
typedef super::mapMarkerIndexes_Type	mapMarkerIndexes_Type
typedef mapMarkerIndexes_Type::const_iterator	mapIteratorIndex_Type
typedef std::vector< UInt >	vectorIndexes_Type
typedef std::shared_ptr< vectorIndexes_Type >	vectorIndexesPtr_Type
typedef super::FESpacePtr_Type	FESpacePtr_Type
typedef super::ETFESpacePtr_Type	ETFESpacePtr_Type
typedef super::vectorsParameters_Type	vectorsParameters_Type
typedef super::vectorsParametersPtr_Type	vectorsParametersPtr_Type
typedef MatrixSmall< 3, 3 >	matrixSmall_Type
typedef super::tensorF_Type	tensorF_Type
typedef super::determinantF_Type	determinantF_Type
typedef super::tensorC_Type	tensorC_Type
typedef super::minusT_Type	minusT_Type
typedef super::traceTensor_Type	traceTensor_Type
typedef ExpressionDefinitions::traceSquaredTensor_Type	traceSquaredTensor_Type

Constructor & Destructor
	VenantKirchhoffMaterialNonLinearPenalized ()
virtual	~VenantKirchhoffMaterialNonLinearPenalized ()

Methods
void	setup (const FESpacePtr_Type &dFESpace, const ETFESpacePtr_Type &dETFESpace, const std::shared_ptr< const MapEpetra > &monolithicMap, const UInt offset, const dataPtr_Type &dataMaterial)
	Setup the created object of the class StructuralIsotropicConstitutiveLaw. More...
void	computeLinearStiff (dataPtr_Type &, const mapMarkerVolumesPtr_Type, const mapMarkerIndexesPtr_Type)
	Compute the Stiffness matrix in StructuralSolver::buildSystem() More...
void	updateJacobianMatrix (const vector_Type &sol, const dataPtr_Type &dataMaterial, const mapMarkerVolumesPtr_Type mapsMarkerVolumes, const mapMarkerIndexesPtr_Type mapsMarkerIndexes, const displayerPtr_Type &displayer)
	Updates the Jacobian matrix in StructualSolver::updateJacobian. More...
void	updateNonLinearJacobianTerms (matrixPtr_Type &jacobian, const vector_Type &sol, const dataPtr_Type &dataMaterial, const mapMarkerVolumesPtr_Type, const mapMarkerIndexesPtr_Type, const displayerPtr_Type &displayer)
	Updates the nonlinear terms in the Jacobian matrix in StructualSolver::updateJacobian. More...
void	computeStiffness (const vector_Type &sol, Real factor, const dataPtr_Type &dataMaterial, const mapMarkerVolumesPtr_Type, const mapMarkerIndexesPtr_Type, const displayerPtr_Type &displayer)
	Interface method to compute the new Stiffness matrix in StructuralSolver::evalResidual and in StructuralSolver::updateSystem since the matrix is the expression of the matrix is the same. More...
void	computeKinematicsVariables (const VectorElemental &dk_loc)
	Computes the new Stiffness vector for Neo-Hookean and VK-Penalized materials in StructuralSolver given a certain displacement field. More...
void	showMe (std::string const &fileNameVectStiff, std::string const &fileNameJacobain)
	Computes the deformation Gradient F, the cofactor of F Cof(F), the determinant of F J = det(F), the trace of C Tr(C). More...
void	computeLocalFirstPiolaKirchhoffTensor (Epetra_SerialDenseMatrix &firstPiola, const Epetra_SerialDenseMatrix &tensorF, const Epetra_SerialDenseMatrix &cofactorF, const std::vector< Real > &invariants, const UInt marker)
	Compute the First Piola Kirchhoff Tensor. More...
void	computeCauchyStressTensor (const vectorPtr_Type disp, const QuadratureRule &evalQuad, vectorPtr_Type sigma_1, vectorPtr_Type sigma_2, vectorPtr_Type sigma_3)
	Compute the First Piola Kirchhoff Tensor. More...

Get Methods
matrixPtr_Type const	stiffMatrix () const
	Get the Stiffness matrix. More...
vectorPtr_Type const	stiffVector () const
	Get the stiffness vector. More...
void	apply (const vector_Type &sol, vector_Type &res, const mapMarkerVolumesPtr_Type mapsMarkerVolumes, const mapMarkerIndexesPtr_Type mapsMarkerIndexes, const displayerPtr_Type displayer)

Additional Inherited Members
Public Types inherited from StructuralIsotropicConstitutiveLaw< MeshType >
typedef StructuralConstitutiveLawData	data_Type
typedef MatrixEpetra< Real >	matrix_Type
typedef std::shared_ptr< matrix_Type >	matrixPtr_Type
typedef VectorEpetra	vector_Type
typedef std::shared_ptr< vector_Type >	vectorPtr_Type
typedef std::shared_ptr< data_Type >	dataPtr_Type
typedef std::shared_ptr< const Displayer >	displayerPtr_Type
typedef FactorySingleton< Factory< StructuralIsotropicConstitutiveLaw< MeshType >, std::string > >	StructureIsotropicMaterialFactory
typedef std::vector< typename MeshType::element_Type *>	vectorVolumes_Type
typedef std::map< UInt, vectorVolumes_Type >	mapMarkerVolumes_Type
typedef std::shared_ptr< mapMarkerVolumes_Type >	mapMarkerVolumesPtr_Type
typedef std::vector< UInt >	vectorIndexes_Type
typedef std::map< UInt, vectorIndexes_Type >	mapMarkerIndexes_Type
typedef std::shared_ptr< mapMarkerIndexes_Type >	mapMarkerIndexesPtr_Type
typedef ETFESpace< MeshType, MapEpetra, 3, 3 >	ETFESpace_Type
typedef std::shared_ptr< ETFESpace_Type >	ETFESpacePtr_Type
typedef FESpace< MeshType, MapEpetra >	FESpace_Type
typedef std::shared_ptr< FESpace_Type >	FESpacePtr_Type
typedef std::vector< std::vector< Real > >	vectorsParameters_Type
typedef std::shared_ptr< vectorsParameters_Type >	vectorsParametersPtr_Type
typedef ExpressionDefinitions::deformationGradient_Type	tensorF_Type
typedef ExpressionDefinitions::determinantTensorF_Type	determinantF_Type
typedef ExpressionDefinitions::rightCauchyGreenTensor_Type	tensorC_Type
typedef ExpressionDefinitions::minusTransposedTensor_Type	minusT_Type
typedef ExpressionDefinitions::traceTensor_Type	traceTensor_Type
Public Member Functions inherited from StructuralIsotropicConstitutiveLaw< MeshType >
	StructuralIsotropicConstitutiveLaw ()
virtual	~StructuralIsotropicConstitutiveLaw ()
MapEpetra const &	map () const
	Getters Get the Epetramap. More...
FESpace_Type &	dFESpace ()
	Get the FESpace object. More...
matrixPtr_Type const	jacobian () const
	Get the Stiffness matrix. More...

Detailed Description

template<typename MeshType>
class LifeV::VenantKirchhoffMaterialNonLinearPenalized< MeshType >

Definition at line 50 of file VenantKirchhoffMaterialNonLinearPenalized.hpp.

Member Typedef Documentation

super

typedef StructuralIsotropicConstitutiveLaw<MeshType> super

Definition at line 56 of file VenantKirchhoffMaterialNonLinearPenalized.hpp.

data_Type

typedef super::data_Type data_Type

Definition at line 58 of file VenantKirchhoffMaterialNonLinearPenalized.hpp.

vector_Type

typedef super::vector_Type vector_Type

Definition at line 60 of file VenantKirchhoffMaterialNonLinearPenalized.hpp.

matrix_Type

typedef super::matrix_Type matrix_Type

Definition at line 61 of file VenantKirchhoffMaterialNonLinearPenalized.hpp.

matrixPtr_Type

typedef super::matrixPtr_Type matrixPtr_Type

Definition at line 63 of file VenantKirchhoffMaterialNonLinearPenalized.hpp.

vectorPtr_Type

typedef super::vectorPtr_Type vectorPtr_Type

Definition at line 64 of file VenantKirchhoffMaterialNonLinearPenalized.hpp.

dataPtr_Type

typedef super::dataPtr_Type dataPtr_Type

Definition at line 65 of file VenantKirchhoffMaterialNonLinearPenalized.hpp.

displayerPtr_Type

typedef super::displayerPtr_Type displayerPtr_Type

Definition at line 66 of file VenantKirchhoffMaterialNonLinearPenalized.hpp.

mapMarkerVolumesPtr_Type

typedef super::mapMarkerVolumesPtr_Type mapMarkerVolumesPtr_Type

Definition at line 68 of file VenantKirchhoffMaterialNonLinearPenalized.hpp.

mapMarkerVolumes_Type

typedef super::mapMarkerVolumes_Type mapMarkerVolumes_Type

Definition at line 69 of file VenantKirchhoffMaterialNonLinearPenalized.hpp.

mapIterator_Type

typedef mapMarkerVolumes_Type::const_iterator mapIterator_Type

Definition at line 70 of file VenantKirchhoffMaterialNonLinearPenalized.hpp.

vectorVolumes_Type

typedef super::vectorVolumes_Type vectorVolumes_Type

Definition at line 72 of file VenantKirchhoffMaterialNonLinearPenalized.hpp.

vectorVolumesPtr_Type

typedef std::shared_ptr<vectorVolumes_Type> vectorVolumesPtr_Type

Definition at line 73 of file VenantKirchhoffMaterialNonLinearPenalized.hpp.

mapMarkerIndexesPtr_Type

typedef super::mapMarkerIndexesPtr_Type mapMarkerIndexesPtr_Type

Definition at line 75 of file VenantKirchhoffMaterialNonLinearPenalized.hpp.

mapMarkerIndexes_Type

typedef super::mapMarkerIndexes_Type mapMarkerIndexes_Type

Definition at line 76 of file VenantKirchhoffMaterialNonLinearPenalized.hpp.

mapIteratorIndex_Type

typedef mapMarkerIndexes_Type::const_iterator mapIteratorIndex_Type

Definition at line 77 of file VenantKirchhoffMaterialNonLinearPenalized.hpp.

vectorIndexes_Type

typedef std::vector<UInt> vectorIndexes_Type

Definition at line 79 of file VenantKirchhoffMaterialNonLinearPenalized.hpp.

vectorIndexesPtr_Type

typedef std::shared_ptr<vectorIndexes_Type> vectorIndexesPtr_Type

Definition at line 80 of file VenantKirchhoffMaterialNonLinearPenalized.hpp.

FESpacePtr_Type

typedef super::FESpacePtr_Type FESpacePtr_Type

Definition at line 82 of file VenantKirchhoffMaterialNonLinearPenalized.hpp.

ETFESpacePtr_Type

typedef super::ETFESpacePtr_Type ETFESpacePtr_Type

Definition at line 83 of file VenantKirchhoffMaterialNonLinearPenalized.hpp.

vectorsParameters_Type

typedef super::vectorsParameters_Type vectorsParameters_Type

Definition at line 86 of file VenantKirchhoffMaterialNonLinearPenalized.hpp.

vectorsParametersPtr_Type

typedef super::vectorsParametersPtr_Type vectorsParametersPtr_Type

Definition at line 87 of file VenantKirchhoffMaterialNonLinearPenalized.hpp.

matrixSmall_Type

typedef MatrixSmall<3, 3> matrixSmall_Type

Definition at line 89 of file VenantKirchhoffMaterialNonLinearPenalized.hpp.

tensorF_Type

typedef super::tensorF_Type tensorF_Type

Definition at line 92 of file VenantKirchhoffMaterialNonLinearPenalized.hpp.

determinantF_Type

typedef super::determinantF_Type determinantF_Type

Definition at line 93 of file VenantKirchhoffMaterialNonLinearPenalized.hpp.

tensorC_Type

typedef super::tensorC_Type tensorC_Type

Definition at line 94 of file VenantKirchhoffMaterialNonLinearPenalized.hpp.

minusT_Type

typedef super::minusT_Type minusT_Type

Definition at line 95 of file VenantKirchhoffMaterialNonLinearPenalized.hpp.

traceTensor_Type

typedef super::traceTensor_Type traceTensor_Type

Definition at line 96 of file VenantKirchhoffMaterialNonLinearPenalized.hpp.

traceSquaredTensor_Type

typedef ExpressionDefinitions::traceSquaredTensor_Type traceSquaredTensor_Type

Definition at line 97 of file VenantKirchhoffMaterialNonLinearPenalized.hpp.

Constructor & Destructor Documentation

VenantKirchhoffMaterialNonLinearPenalized()

VenantKirchhoffMaterialNonLinearPenalized

(

)

Definition at line 286 of file VenantKirchhoffMaterialNonLinearPenalized.hpp.

~VenantKirchhoffMaterialNonLinearPenalized()

~VenantKirchhoffMaterialNonLinearPenalized ( )

virtual

Definition at line 298 of file VenantKirchhoffMaterialNonLinearPenalized.hpp.

Member Function Documentation

setup()

void setup ( const FESpacePtr_Type &  dFESpace, const ETFESpacePtr_Type &  dETFESpace, const std::shared_ptr< const MapEpetra > &  monolithicMap, const UInt  offset, const dataPtr_Type &  dataMaterial  )

virtual

Setup the created object of the class StructuralIsotropicConstitutiveLaw.

Parameters

dFespace	the FiniteElement Space
monolithicMap	the MapEpetra
offset	the offset parameter used assembling the matrices

Implements StructuralIsotropicConstitutiveLaw< MeshType >.

Definition at line 307 of file VenantKirchhoffMaterialNonLinearPenalized.hpp.

computeLinearStiff()

void computeLinearStiff ( dataPtr_Type &  , const mapMarkerVolumesPtr_Type  , const mapMarkerIndexesPtr_Type    )

virtual

Compute the Stiffness matrix in StructuralSolver::buildSystem()

Parameters

dataMaterial

the class with Material properties data

Empty method for this law

Implements StructuralIsotropicConstitutiveLaw< MeshType >.

Definition at line 381 of file VenantKirchhoffMaterialNonLinearPenalized.hpp.

updateJacobianMatrix()

void updateJacobianMatrix ( const vector_Type &  sol, const dataPtr_Type &  dataMaterial, const mapMarkerVolumesPtr_Type  mapsMarkerVolumes, const mapMarkerIndexesPtr_Type  mapsMarkerIndexes, const displayerPtr_Type &  displayer  )

virtual

Updates the Jacobian matrix in StructualSolver::updateJacobian.

Parameters

disp	solution at the k-th iteration of NonLinearRichardson Method
dataMaterial	a pointer to the dataType member in StructuralSolver class to get the material coefficients (e.g. Young modulus, Poisson ratio..)
displayer	a pointer to the Dysplaier member in the StructuralSolver class

Implements StructuralIsotropicConstitutiveLaw< MeshType >.

Definition at line 393 of file VenantKirchhoffMaterialNonLinearPenalized.hpp.

updateNonLinearJacobianTerms()

void updateNonLinearJacobianTerms	(	matrixPtr_Type &	jacobian,
		const vector_Type &	sol,
		const dataPtr_Type &	dataMaterial,
		const mapMarkerVolumesPtr_Type	mapsMarkerVolumes,
		const mapMarkerIndexesPtr_Type	mapsMarkerIndexes,
		const displayerPtr_Type &	displayer
	)

Updates the nonlinear terms in the Jacobian matrix in StructualSolver::updateJacobian.

Parameters

stiff	stiffness matrix provided from outside
disp	solution at the k-th iteration of NonLinearRichardson Method
dataMaterial	a pointer to the dataType member in StructuralSolver class to get the material coefficients (e.g. Young modulus, Poisson ratio..)
displayer	a pointer to the Dysplaier member in the StructuralSolver class

Nonlinear part of jacobian loop on volumes (i)

Stiffness for non-linear terms of the VK-Penalized model

The results of the integrals are stored at each step into elmatK, until to build K matrix of the bilinear form

VOLUMETRIC PART

1. Stiffness matrix: int { 1/2 * bulk * ( 2 - 1/J + 1/J^2 ) * ( CofF : ) (CofF : v) }
2. Stiffness matrix: int { 1/2 * bulk * ( 1/J- 1 - log(J)/J^2 ) * ( CofF1 [ ]^t CofF ) : v }

ISOCHORIC PART 0. Stiffness matrix : int { -(2.0/3.0) * Jk^(-2.0/3.0) * ( (lambda/2) * Ic_isok - ( (3/2)*lambda + mu ) ) * F^-T: ) * ( F - (1.0/3.0) * Ic_k * F^-T ): }

1. Stiffness matrix : int { ( -4.0/3.0) * ( mu * J^(-4/3) ) * ( F^-T: ) * ( F C ) : v }
2. Stiffness matrix : int { ( mu * J^(-4/3) ) * ( (-4.0/3.0) * ( FkCk : ) ) * F^-T : v ) }

Definition at line 412 of file VenantKirchhoffMaterialNonLinearPenalized.hpp.

computeStiffness()

void computeStiffness ( const vector_Type &  sol, Real  factor, const dataPtr_Type &  dataMaterial, const mapMarkerVolumesPtr_Type  mapsMarkerVolumes, const mapMarkerIndexesPtr_Type  mapsMarkerIndexes, const displayerPtr_Type &  displayer  )

virtual

Interface method to compute the new Stiffness matrix in StructuralSolver::evalResidual and in StructuralSolver::updateSystem since the matrix is the expression of the matrix is the same.

Parameters

sol	the solution vector
factor	scaling factor used in FSI
dataMaterial	a pointer to the dataType member in StructuralSolver class to get the material coefficients (e.g. Young modulus, Poisson ratio..)
displayer	a pointer to the Dysplaier member in the StructuralSolver class

Stiffness for non-linear terms of the Neo-Hookean model Volumetric part : int { bulk /2* (J1^2 - J1 + log(J1) ) * 1/J1 * (CofF1 : v) }

Isochoric part : int { J^(-2.0/3.0) * ( {lambda}{2}*Ic_isoK - {3}{2}*lambda - mu )*

Isochoric part second term

Source term P2iso_VKPenalized: int { ( mu * Jk^(-4.0/3.0) )* ( (F*C : v) - 1/3 * (Ic_squared) * (F1^-T : v) ) }

Implements StructuralIsotropicConstitutiveLaw< MeshType >.

Definition at line 652 of file VenantKirchhoffMaterialNonLinearPenalized.hpp.

computeKinematicsVariables()

void computeKinematicsVariables ( const VectorElemental &  dk_loc )

virtual

Computes the new Stiffness vector for Neo-Hookean and VK-Penalized materials in StructuralSolver given a certain displacement field.

This function is used both in StructuralSolver::evalResidual and in StructuralSolver::updateSystem since the matrix is the expression of the matrix is the same.

Parameters

sol	the solution vector
factor	scaling factor used in FSI
dataMaterial	a pointer to the dataType member in StructuralSolver class to get the material coefficients (e.g. Young modulus, Poisson ratio..)
displayer	a pointer to the Dysplaier member in the StructuralSolver classComputes the deformation gradient F, the cofactor matrix Cof(F), the determinant of F (J = det(F)), the trace of right Cauchy-Green tensor tr(C) This function is used in StructuralIsotropicConstitutiveLaw::computeStiffness
dk_loc	the elemental displacement

Implements StructuralIsotropicConstitutiveLaw< MeshType >.

Definition at line 748 of file VenantKirchhoffMaterialNonLinearPenalized.hpp.

showMe()

void showMe ( std::string const &  fileNameVectStiff, std::string const &  fileNameJacobain  )

virtual

Computes the deformation Gradient F, the cofactor of F Cof(F), the determinant of F J = det(F), the trace of C Tr(C).

Parameters

dk_loc

local displacement vectorShowMe method of the class (saved on a file the stiffness vector and the jacobian)

Implements StructuralIsotropicConstitutiveLaw< MeshType >.

Definition at line 890 of file VenantKirchhoffMaterialNonLinearPenalized.hpp.

computeLocalFirstPiolaKirchhoffTensor()

void computeLocalFirstPiolaKirchhoffTensor ( Epetra_SerialDenseMatrix &  firstPiola, const Epetra_SerialDenseMatrix &  tensorF, const Epetra_SerialDenseMatrix &  cofactorF, const std::vector< Real > &  invariants, const UInt  marker  )

virtual

Compute the First Piola Kirchhoff Tensor.

Parameters

firstPiola	Epetra_SerialDenseMatrix that has to be filled
tensorF	Epetra_SerialDenseMatrix the deformation gradient
cofactorF	Epetra_SerialDenseMatrix cofactor of F
invariants	std::vector with the invariants of C and the detF
material	UInt number to get the material parameteres form the VenantElasticData class

Implements StructuralIsotropicConstitutiveLaw< MeshType >.

Definition at line 908 of file VenantKirchhoffMaterialNonLinearPenalized.hpp.

computeCauchyStressTensor()

void computeCauchyStressTensor ( const vectorPtr_Type  disp, const QuadratureRule &  evalQuad, vectorPtr_Type  sigma_1, vectorPtr_Type  sigma_2, vectorPtr_Type  sigma_3  )

virtual

Compute the First Piola Kirchhoff Tensor.

Parameters

disp	the displacement field from which we compute the fisrt piola-Kirchhoff tensor
sigma_1	the first column of the Cauchy stress tensor
sigma_2	the second column of the Cauchy stress tensor
sigma_3	the third column of the Cauchy stress tensor

Implements StructuralIsotropicConstitutiveLaw< MeshType >.

Definition at line 977 of file VenantKirchhoffMaterialNonLinearPenalized.hpp.

stiffMatrix()

matrixPtr_Type const stiffMatrix ( ) const

inlinevirtual

Get the Stiffness matrix.

Implements StructuralIsotropicConstitutiveLaw< MeshType >.

Definition at line 244 of file VenantKirchhoffMaterialNonLinearPenalized.hpp.

stiffVector()

vectorPtr_Type const stiffVector ( ) const

inlinevirtual

Get the stiffness vector.

Implements StructuralIsotropicConstitutiveLaw< MeshType >.

Definition at line 251 of file VenantKirchhoffMaterialNonLinearPenalized.hpp.

apply()

void apply ( const vector_Type &  sol, vector_Type &  res, const mapMarkerVolumesPtr_Type  mapsMarkerVolumes, const mapMarkerIndexesPtr_Type  mapsMarkerIndexes, const displayerPtr_Type  displayer  )

virtual

Implements StructuralIsotropicConstitutiveLaw< MeshType >.

Definition at line 899 of file VenantKirchhoffMaterialNonLinearPenalized.hpp.

setupVectorsParameters()

void setupVectorsParameters ( void  )

protectedvirtual

construct the vectors for the parameters

Parameters

VOID

Returns

VOID

Implements StructuralIsotropicConstitutiveLaw< MeshType >.

Definition at line 341 of file VenantKirchhoffMaterialNonLinearPenalized.hpp.

Field Documentation

M_stiff

vectorPtr_Type M_stiff

protected

Vector: stiffness non-linear.

Definition at line 275 of file VenantKirchhoffMaterialNonLinearPenalized.hpp.

M_identity

matrixSmall_Type M_identity

protected

Definition at line 278 of file VenantKirchhoffMaterialNonLinearPenalized.hpp.

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

• VenantKirchhoffMaterialNonLinearPenalized.hpp