#include <MarmotMaterialGradientEnhancedHypoElastic.h>

Inheritance diagram for MarmotMaterialGradientEnhancedHypoElastic:

Public Member Functions
virtual void	computeStress (double stress, double &KLocal, double &nonLocalRadius, double dStress_dDeformationGradient, double dKLocal_dDeformationGradient, double dStress_dK, const double FOld, const double FNew, const double KOld, const double dK, const double *timeOld, const double dT, double &pNewDT) override

virtual void	computeStress (double stress, double &K_local, double &nonLocalRadius, double dStressDDStrain, double dK_localDDStrain, double dStressDK, const double dStrain, double KOld, double dK, const double timeOld, const double dT, double &pNewDT)=0

virtual void	computePlaneStress (double stress2D, double &KLocal2D, double &nonLocalRadius, double dStress_DStrain2D, double dKLocal_dStrain2D, double dStress_dK2D, const double dStrain2D, double KOld, double dK, const double timeOld, const double dT, double &pNewDT)

virtual void	computePlaneStress (double stress, double &K_local, double &nonLocalRadius, double dStressDDFNew, double dK_localDDFNew, double dStressDK, const double FOld, const double FNew, double KOld, double dK, const double *timeOld, const double dT, double &pNewDT)

Public Member Functions inherited from MarmotMaterialGradientEnhancedMechanical
virtual void	computePlaneStress (double stress, double &K_local, double &nonLocalRadius, double dStressDDFNew, double dK_localDDFNew, double dStressDK, const double FOld, const double FNew, double KOld, double dK, const double *timeOld, const double dT, double &pNewDT)

virtual void	computeUniaxialStress (double stress, double &K_local, double &nonLocalRadius, double dStressDDFNew, double dK_localDDFNew, double dStressDK, const double FOld, const double FNew, double KOld, double dK, 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 ()

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 gradient-enhanced hypo-elastic materials expressed purely in rate form.

In general, the nominal stress rate tensor \( \sigRate \) can be written as a function of the nominal stress tensor \( \sig \), the stretching rate tensor \( \epsRate \) the local variable \(\kappa\), the nonlocal variable \(\bar{\kappa}\), internal variables \(\boldsymbol{x}\) and the time \( t \)

\[ \displaystyle \sigRate = f( \sig, \kappa, \epsRate, \dot{\bar{\kappa}}, \boldsymbol{x}, t, ...) \]

In course of numerical time integration, this relation will be formulated incrementally as

\[ \displaystyle \Delta \sig = f ( \sig_n, \kappa_n, \Delta\eps, \Delta\bar{\kappa}, \boldsymbol{x}_n, \Delta t, t_n, ...) \]

with

\[ \displaystyle \Delta\eps = \epsRate\, \Delta t \]

\[ \displaystyle \Delta\bar{\kappa} = \dot{\bar{\kappa}}\, \Delta t \]

and the algorithmic tangents

\[ \displaystyle \frac{d \sig }{d \eps } = \frac{d \Delta \sig }{d \Delta \eps } \]

\[ \displaystyle \frac{d \sig }{d \bar{\kappa}} = \frac{d \Delta \sig }{d \Delta \bar{\kappa}} \]

\[ \displaystyle \frac{d \kappa }{d \eps }= \frac{d \Delta \kappa }{d \Delta \eps } \]

\[ \displaystyle \frac{d \kappa }{d \bar{\kappa}}= \frac{d \Delta \kappa }{d \Delta \bar{\kappa}} = l_{\text{nonlocal}} \]

Member Function Documentation

◆ computeStress() [1/2]

void MarmotMaterialGradientEnhancedHypoElastic::computeStress	(	double *	stress,
		double &	KLocal,
		double &	nonLocalRadius,
		double *	dStress_dDeformationGradient,
		double *	dKLocal_dDeformationGradient,
		double *	dStress_dK,
		const double *	FOld,
		const double *	FNew,
		const double	KOld,
		const double	dK,
		const double *	timeOld,
		const double	dT,
		double &	pNewDT
	)

overridevirtual

For a given deformation gradient and a nonlocal variable at the old and the current time, compute the Cauchy stress and the local variable and the algorithmic tangents.

Parameters

[in,out]	stress	Cauchy stress
[in,out]	K_local	local variable
[in,out]	nonLocalRadius	nonlocal radius representing the tangent \(\frac{d \Delta \kappa }{d \Delta \bar{\kappa}}\)
[in,out]	dStressDDDeformationGradient	Derivative of the Cauchy stress tensor with respect to the deformation gradient \(\boldsymbol{F}\)
[in,out]	dK_localDDeformationGradient	Derivative of the local variable with respect to the deformation gradient \(\boldsymbol{F}\)
[in,out]	dStressDK	Derivative of the Cauchy stress tensor with respect to the nonlocal variable
[in]	FOld	Deformation gradient at the old (pseudo-)time
[in]	FNew	Deformation gradient at the current (pseudo-)time
[in]	KOld	Local variable at the old (pseudo-)time
[in]	dK	Increment of the local variable
[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 MarmotMaterialGradientEnhancedMechanical.

◆ computeStress() [2/2]

virtual void MarmotMaterialGradientEnhancedHypoElastic::computeStress	(	double *	stress,
		double &	K_local,
		double &	nonLocalRadius,
		double *	dStressDDStrain,
		double *	dK_localDDStrain,
		double *	dStressDK,
		const double *	dStrain,
		double	KOld,
		double	dK,
		const double *	timeOld,
		const double	dT,
		double &	pNewDT
	)

pure virtual

For a given deformation gradient and a nonlocal variable at the old and the current time, compute the Cauchy stress and the local variable and the algorithmic tangents.

Parameters

[in,out]	stress	Cauchy stress
[in,out]	K_local	local variable
[in,out]	nonLocalRadius	nonlocal radius representing the tangent \(\frac{d \Delta \kappa }{d \Delta \bar{\kappa}}\)
[in,out]	dStressDDstrain	Algorithmic tangent representing the derivative of the Cauchy stress tensor with respect to the linearized strain
[in,out]	dK_localDDStrain	Derivative of the local variable with respect to the linearized strain
[in,out]	dStressDK	Derivative of the Cauchy stress tensor with respect to the nonlocal variable
[in]	KOld	Local variable at the old (pseudo-)time
[in]	dK	Increment of the local variable
[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

◆ computePlaneStress() [1/2]

void MarmotMaterialGradientEnhancedHypoElastic::computePlaneStress	(	double *	stress2D,
		double &	KLocal2D,
		double &	nonLocalRadius,
		double *	dStress_DStrain2D,
		double *	dKLocal_dStrain2D,
		double *	dStress_dK2D,
		const double *	dStrain2D,
		double	KOld,
		double	dK,
		const double *	timeOld,
		const double	dT,
		double &	pNewDT
	)

virtual

Plane stress implementation of computeStress.

◆ computePlaneStress() [2/2]

virtual void MarmotMaterialGradientEnhancedMechanical::computePlaneStress

inline