#include <CompressibleMooneyRivlinMaterialLaw.hpp>

Inheritance diagram for CompressibleMooneyRivlinMaterialLaw< DIM >:

Collaboration diagram for CompressibleMooneyRivlinMaterialLaw< DIM >:

Public Member Functions
double	Get_dW_dI1 (double I1, double I2, double I3)

double	Get_dW_dI2 (double I1, double I2, double I3)

double	Get_dW_dI3 (double I1, double I2, double I3)

double	Get_d2W_dI1 (double I1, double I2, double I3)

double	Get_d2W_dI2 (double I1, double I2, double I3)

double	Get_d2W_dI3 (double I1, double I2, double I3)

double	Get_d2W_dI2I3 (double I1, double I2, double I3)

double	Get_d2W_dI1I3 (double I1, double I2, double I3)

double	Get_d2W_dI1I2 (double I1, double I2, double I3)

double	GetC1 ()

double	GetC3 ()

	CompressibleMooneyRivlinMaterialLaw (double c1, double c3)

void	ScaleMaterialParameters (double scaleFactor)

Public Member Functions inherited from AbstractIsotropicCompressibleMaterialLaw< DIM >
void	ComputeStressAndStressDerivative (c_matrix< double, DIM, DIM > &rC, c_matrix< double, DIM, DIM > &rInvC, double pressure, c_matrix< double, DIM, DIM > &rT, FourthOrderTensor< DIM, DIM, DIM, DIM > &rDTdE, bool computeDTdE)

virtual	~AbstractIsotropicCompressibleMaterialLaw ()

Public Member Functions inherited from AbstractCompressibleMaterialLaw< DIM >
	AbstractCompressibleMaterialLaw ()

Public Member Functions inherited from AbstractMaterialLaw< DIM >
	AbstractMaterialLaw ()

virtual	~AbstractMaterialLaw ()

void	ComputeCauchyStress (c_matrix< double, DIM, DIM > &rF, double pressure, c_matrix< double, DIM, DIM > &rSigma)

void	Compute1stPiolaKirchoffStress (c_matrix< double, DIM, DIM > &rF, double pressure, c_matrix< double, DIM, DIM > &rS)

void	Compute2ndPiolaKirchoffStress (c_matrix< double, DIM, DIM > &rC, double pressure, c_matrix< double, DIM, DIM > &rT)

void	SetChangeOfBasisMatrix (c_matrix< double, DIM, DIM > &rChangeOfBasisMatrix)

void	ResetToNoChangeOfBasisMatrix ()

Private Attributes
double	mC1

double	mC3

Static Private Attributes
static const double	msMinusOneOverDimension = -1.0/DIM

Additional Inherited Members
Protected Member Functions inherited from AbstractMaterialLaw< DIM >
void	ComputeTransformedDeformationTensor (c_matrix< double, DIM, DIM > &rC, c_matrix< double, DIM, DIM > &rInvC, c_matrix< double, DIM, DIM > &rCTransformed, c_matrix< double, DIM, DIM > &rInvCTransformed)

void	TransformStressAndStressDerivative (c_matrix< double, DIM, DIM > &rT, FourthOrderTensor< DIM, DIM, DIM, DIM > &rDTdE, bool transformDTdE)

Protected Attributes inherited from AbstractMaterialLaw< DIM >
c_matrix< double, DIM, DIM > *	mpChangeOfBasisMatrix

Detailed Description

template<unsigned DIM>
class CompressibleMooneyRivlinMaterialLaw< DIM >

CompressibleMooneyRivlinMaterialLaw

A Mooney-Rivlin isotropic compressible hyperelastic material law for finite elasticity

The law is given by a strain energy function W(I1,I2,I3) = c1 ( dev(I1)-3 ) + c3(J-1)^2

where (assuming Ii are the principal invariants of C, the Lagrangian deformation tensor, I1=trace(C), I2=0.5(trace(C)^2-trace(C^2)), I3=det(C)): J = det(F) = sqrt(I3) dev(I1) = I1 * J^(-2/DIM) is the first invariant of the deviatoric part of C

Note T(E=0) = 0 regardless of choice of c1, c3.

NOTE: this is really just a NEO-HOOKEAN law at present - the c2 (dev(I2)-3) term hasn't been added yet...

Definition at line 64 of file CompressibleMooneyRivlinMaterialLaw.hpp.