CompressibleMooneyRivlinMaterialLaw< DIM > Class Template Reference

#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 66 of file CompressibleMooneyRivlinMaterialLaw.hpp.

Constructor & Destructor Documentation

template<unsigned DIM>

CompressibleMooneyRivlinMaterialLaw< DIM >::CompressibleMooneyRivlinMaterialLaw ( double  c1, double  c3  )

inline

Constructor, taking in parameters c1 and c3.

Parameters

c1	parameter c1
c3	parameter c3

Definition at line 216 of file CompressibleMooneyRivlinMaterialLaw.hpp.

References CompressibleMooneyRivlinMaterialLaw< DIM >::mC1, and CompressibleMooneyRivlinMaterialLaw< DIM >::mC3.

Member Function Documentation

template<unsigned DIM>

double CompressibleMooneyRivlinMaterialLaw< DIM >::Get_d2W_dI1 ( double  I1, double  I2, double  I3  )

inlinevirtual

Returns

the second derivative d^2W/dI1^2.

Parameters

I1	first principal invariant of C
I2	second principal invariant of C
I3	third principal invariant of C

Implements AbstractIsotropicCompressibleMaterialLaw< DIM >.

Definition at line 125 of file CompressibleMooneyRivlinMaterialLaw.hpp.

template<unsigned DIM>

double CompressibleMooneyRivlinMaterialLaw< DIM >::Get_d2W_dI1I2 ( double  I1, double  I2, double  I3  )

inlinevirtual

Returns

the second derivative d^2W/dI1dI2.

Parameters

I1	first principal invariant of C
I2	second principal invariant of C
I3	third principal invariant of C

Implements AbstractIsotropicCompressibleMaterialLaw< DIM >.

Definition at line 192 of file CompressibleMooneyRivlinMaterialLaw.hpp.

template<unsigned DIM>

double CompressibleMooneyRivlinMaterialLaw< DIM >::Get_d2W_dI1I3 ( double  I1, double  I2, double  I3  )

inlinevirtual

Returns

the second derivative d^2W/dI1dI3.

Parameters

I1	first principal invariant of C
I2	second principal invariant of C
I3	third principal invariant of C

Implements AbstractIsotropicCompressibleMaterialLaw< DIM >.

Definition at line 179 of file CompressibleMooneyRivlinMaterialLaw.hpp.

References CompressibleMooneyRivlinMaterialLaw< DIM >::mC1, and CompressibleMooneyRivlinMaterialLaw< DIM >::msMinusOneOverDimension.

template<unsigned DIM>

double CompressibleMooneyRivlinMaterialLaw< DIM >::Get_d2W_dI2 ( double  I1, double  I2, double  I3  )

inlinevirtual

Returns

the second derivative d^2W/dI2^2.

Parameters

I1	first principal invariant of C
I2	second principal invariant of C
I3	third principal invariant of C

Implements AbstractIsotropicCompressibleMaterialLaw< DIM >.

Definition at line 138 of file CompressibleMooneyRivlinMaterialLaw.hpp.

template<unsigned DIM>

double CompressibleMooneyRivlinMaterialLaw< DIM >::Get_d2W_dI2I3 ( double  I1, double  I2, double  I3  )

inlinevirtual

Returns

the second derivative d^2W/dI2dI3.

Parameters

I1	first principal invariant of C
I2	second principal invariant of C
I3	third principal invariant of C

Implements AbstractIsotropicCompressibleMaterialLaw< DIM >.

Definition at line 166 of file CompressibleMooneyRivlinMaterialLaw.hpp.

template<unsigned DIM>

double CompressibleMooneyRivlinMaterialLaw< DIM >::Get_d2W_dI3 ( double  I1, double  I2, double  I3  )

inlinevirtual

Returns

the second derivative d^2W/dI3^2.

Parameters

I1	first principal invariant of C
I2	second principal invariant of C
I3	third principal invariant of C

Implements AbstractIsotropicCompressibleMaterialLaw< DIM >.

Definition at line 151 of file CompressibleMooneyRivlinMaterialLaw.hpp.

References CompressibleMooneyRivlinMaterialLaw< DIM >::mC1, CompressibleMooneyRivlinMaterialLaw< DIM >::mC3, and CompressibleMooneyRivlinMaterialLaw< DIM >::msMinusOneOverDimension.

template<unsigned DIM>

double CompressibleMooneyRivlinMaterialLaw< DIM >::Get_dW_dI1 ( double  I1, double  I2, double  I3  )

inlinevirtual

Returns

the first derivative dW/dI1.

Parameters

I1	first principal invariant of C
I2	second principal invariant of C
I3	third principal invariant of C

Implements AbstractIsotropicCompressibleMaterialLaw< DIM >.

Definition at line 88 of file CompressibleMooneyRivlinMaterialLaw.hpp.

References CompressibleMooneyRivlinMaterialLaw< DIM >::mC1, and CompressibleMooneyRivlinMaterialLaw< DIM >::msMinusOneOverDimension.

template<unsigned DIM>

double CompressibleMooneyRivlinMaterialLaw< DIM >::Get_dW_dI2 ( double  I1, double  I2, double  I3  )

inlinevirtual

Returns

the first derivative dW/dI2.

Parameters

I1	first principal invariant of C
I2	second principal invariant of C
I3	third principal invariant of C

Implements AbstractIsotropicCompressibleMaterialLaw< DIM >.

Definition at line 100 of file CompressibleMooneyRivlinMaterialLaw.hpp.

template<unsigned DIM>

double CompressibleMooneyRivlinMaterialLaw< DIM >::Get_dW_dI3 ( double  I1, double  I2, double  I3  )

inlinevirtual

Returns

the first derivative dW/dI3.

Parameters

I1	first principal invariant of C
I2	second principal invariant of C
I3	third principal invariant of C

Implements AbstractIsotropicCompressibleMaterialLaw< DIM >.

Definition at line 112 of file CompressibleMooneyRivlinMaterialLaw.hpp.

References CompressibleMooneyRivlinMaterialLaw< DIM >::mC1, CompressibleMooneyRivlinMaterialLaw< DIM >::mC3, and CompressibleMooneyRivlinMaterialLaw< DIM >::msMinusOneOverDimension.

template<unsigned DIM>

double CompressibleMooneyRivlinMaterialLaw< DIM >::GetC1 ( )

inline

Returns

mC1.

Definition at line 199 of file CompressibleMooneyRivlinMaterialLaw.hpp.

References CompressibleMooneyRivlinMaterialLaw< DIM >::mC1.

template<unsigned DIM>

double CompressibleMooneyRivlinMaterialLaw< DIM >::GetC3 ( )

inline

Returns

mC3.

Definition at line 205 of file CompressibleMooneyRivlinMaterialLaw.hpp.

References CompressibleMooneyRivlinMaterialLaw< DIM >::mC3.

template<unsigned DIM>

void CompressibleMooneyRivlinMaterialLaw< DIM >::ScaleMaterialParameters ( double  scaleFactor )

inlinevirtual

Scale the dimensional material parameters.

Parameters

scaleFactor

Reimplemented from AbstractMaterialLaw< DIM >.

Definition at line 229 of file CompressibleMooneyRivlinMaterialLaw.hpp.

References CompressibleMooneyRivlinMaterialLaw< DIM >::mC1, and CompressibleMooneyRivlinMaterialLaw< DIM >::mC3.

Member Data Documentation

template<unsigned DIM>

double CompressibleMooneyRivlinMaterialLaw< DIM >::mC1

private

Parameter c1.

Definition at line 71 of file CompressibleMooneyRivlinMaterialLaw.hpp.

Referenced by CompressibleMooneyRivlinMaterialLaw< DIM >::CompressibleMooneyRivlinMaterialLaw(), CompressibleMooneyRivlinMaterialLaw< DIM >::Get_d2W_dI1I3(), CompressibleMooneyRivlinMaterialLaw< DIM >::Get_d2W_dI3(), CompressibleMooneyRivlinMaterialLaw< DIM >::Get_dW_dI1(), CompressibleMooneyRivlinMaterialLaw< DIM >::Get_dW_dI3(), CompressibleMooneyRivlinMaterialLaw< DIM >::GetC1(), and CompressibleMooneyRivlinMaterialLaw< DIM >::ScaleMaterialParameters().

template<unsigned DIM>

double CompressibleMooneyRivlinMaterialLaw< DIM >::mC3

private

Parameter c3

Definition at line 74 of file CompressibleMooneyRivlinMaterialLaw.hpp.

Referenced by CompressibleMooneyRivlinMaterialLaw< DIM >::CompressibleMooneyRivlinMaterialLaw(), CompressibleMooneyRivlinMaterialLaw< DIM >::Get_d2W_dI3(), CompressibleMooneyRivlinMaterialLaw< DIM >::Get_dW_dI3(), CompressibleMooneyRivlinMaterialLaw< DIM >::GetC3(), and CompressibleMooneyRivlinMaterialLaw< DIM >::ScaleMaterialParameters().

template<unsigned DIM>

const double CompressibleMooneyRivlinMaterialLaw< DIM >::msMinusOneOverDimension = -1.0/DIM

staticprivate

Initialised to -1.0/DIM

Definition at line 77 of file CompressibleMooneyRivlinMaterialLaw.hpp.

Referenced by CompressibleMooneyRivlinMaterialLaw< DIM >::Get_d2W_dI1I3(), CompressibleMooneyRivlinMaterialLaw< DIM >::Get_d2W_dI3(), CompressibleMooneyRivlinMaterialLaw< DIM >::Get_dW_dI1(), and CompressibleMooneyRivlinMaterialLaw< DIM >::Get_dW_dI3().

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

• continuum_mechanics/src/problem/material_laws/CompressibleMooneyRivlinMaterialLaw.hpp