#include <MarmotMaterialHyperElastic.h>

Inheritance diagram for MarmotMaterialHyperElastic:

Public Member Functions
virtual void	computeStress (double S, double dSdE, const double FOld, const double FNew, const double *timeOld, const double dT, double &pNewDT) override

virtual void	computeStressPK2 (double S, double dSdE, const double E, const double timeOld, const double dT, double &pNewDT)=0

virtual void	computePlaneStressPK2 (double S2D, double dSdE2D, const double E2D, const double timeOld, const double dT, double &pNewDT)

virtual void	computeUniaxialStressPK2 (double S1D, double dSdE1D, const double E1D, const double timeOld, const double dT, double &pNewDT)

Public Member Functions inherited from MarmotMaterialMechanical
virtual void	computePlaneStress (double stress2D, double dStress_dF2DNew, const double FOld2D, const double FNew2D, const double *timeOld, const double dT, double &pNewDT)

virtual void	computeUniaxialStress (double stress1D, double dStress1D_dF1DNew, const double F1DOld, const double F1DNew, const double *timeOld, const double dT, double &pNewDT)

	MarmotMaterial (const double *materialProperties, int nMaterialProperties, int materialNumber)

Public Member Functions inherited from MarmotMaterial
	MarmotMaterial (const double *materialProperties, int nMaterialProperties, int materialNumber)

virtual	~MarmotMaterial ()

virtual int	getNumberOfRequiredStateVars ()=0

virtual void	assignStateVars (double *stateVars, int nStateVars)

virtual StateView	getStateView (const std::string &stateName)=0

double *	getAssignedStateVars ()

int	getNumberOfAssignedStateVars ()

virtual void	initializeYourself ()

virtual double	getDensity ()

Additional Inherited Members
Public Attributes inherited from MarmotMaterial
const int	materialNumber

Protected Attributes inherited from MarmotMaterial
const double *	materialProperties

const int	nMaterialProperties

double *	stateVars

int	nStateVars

Detailed Description

Derived abstract base class for simple, purely hyperelastic materials to be used for finite elements based on the total lagrangian kinematic description (TL elements). The second Piola - Kirchhoff stress tensor \( S \) will be derived by

\[ \displaystyle S = \frac{\partial f(\boldsymbol{E},t )}{\partial \boldsymbol{E}} \]

with the Green - Lagrange strain tensor \( \boldsymbol{E} \)

\[ \displaystyle E = \frac{1}{2}\,\left(\boldsymbol{F}^T\cdot \boldsymbol{F} - \boldsymbol{I} \right) \]

as work conjugated measure and the variable \( \boldsymbol{F} \) denoting the deformation gradient. The algorithmic tangent will be calculated by

\[ \displaystyle \frac{d \boldsymbol{S}}{d \boldsymbol{E}} \]

Member Function Documentation

◆ computeStress()

void MarmotMaterialHyperElastic::computeStress	(	double *	S,
		double *	dSdE,
		const double *	FOld,
		const double *	FNew,
		const double *	timeOld,
		const double	dT,
		double &	pNewDT
	)

overridevirtual

For a given deformation gradient at the old and the current time, compute the 2nd Piola-Kirchhoff stress and the algorithmic tangent \(\frac{\partial\boldsymbol{S}^{(n+1)}}{\partial\boldsymbol{E}^{(n+1)}}\).

Todo:: A default implementation is provided.

Parameters

[in,out]	S	2nd Piola-Kirchhoff stress
[in,out]	dSdE	Algorithmic tangent representing the derivative of the 2nd Piola-Kirchhoff stress tensor with respect to the Green-Lagrange strain tensor \(\boldsymbol{E}\).
[in]	FOld	Deformation gradient at the old (pseudo-)time
[in]	FNew	Deformation gradient at the current (pseudo-)time
[in]	timeOld	Old (pseudo-)time
[in]	dt	(Pseudo-)time increment from the old (pseudo-)time to the current (pseudo-)time
[in,out]	pNewDT	Suggestion for a new time increment

Implements MarmotMaterialMechanical.

◆ computeStressPK2()

virtual void MarmotMaterialHyperElastic::computeStressPK2	(	double *	S,
		double *	dSdE,
		const double *	E,
		const double *	timeOld,
		const double	dT,
		double &	pNewDT
	)

pure virtual

For a given Green-Lagrange strain, compute the 2nd Piola-Kirchhoff stress and the algorithmic tangent \(\frac{\partial\boldsymbol{S}^{(n+1)}}{\partial\boldsymbol{E}^{(n+1)}}\).

Todo:: Should we use function overloading in this case and simple also use computeStress for the function name?

Parameters

[in,out]	S	2nd Piola-Kirchhoff stress
[in,out]	dSdE	Algorithmic tangent representing the derivative of the 2nd Piola-Kirchhoff stress tensor with respect to the Green-Lagrange strain tensor \(\boldsymbol{E}\).
[in]	deltaE	Green-Lagrange strain increment
[in]	timeOld	Old (pseudo-)time
[in]	dt	(Pseudo-)time increment from the old (pseudo-)time to the current (pseudo-)time
[in,out]	pNewDT	Suggestion for a new time increment

◆ computePlaneStressPK2()

void MarmotMaterialHyperElastic::computePlaneStressPK2	(	double *	S2D,
		double *	dSdE2D,
		const double *	E2D,
		const double *	timeOld,
		const double	dT,
		double &	pNewDT
	)

virtual

Plane stress implementation of computeStressPK2.

◆ computeUniaxialStressPK2()

void MarmotMaterialHyperElastic::computeUniaxialStressPK2	(	double *	S1D,
		double *	dSdE1D,
		const double *	E1D,
		const double *	timeOld,
		const double	dT,
		double &	pNewDT
	)

virtual

Uniaxial stress implementation of computeStressPK2.

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

modules/core/MarmotMechanicsCore/include/Marmot/MarmotMaterialHyperElastic.h
modules/core/MarmotMechanicsCore/src/MarmotMaterialHyperElastic.cpp