MooneyRivlinMaterialLaw< DIM > Class Template Reference

#include <MooneyRivlinMaterialLaw.hpp>

Inheritance diagram for MooneyRivlinMaterialLaw< DIM >:

Collaboration diagram for MooneyRivlinMaterialLaw< DIM >:

Public Member Functions
double	Get_dW_dI1 (double I1, double I2)
double	Get_dW_dI2 (double I1, double I2)
double	Get_d2W_dI1 (double I1, double I2)
double	Get_d2W_dI2 (double I1, double I2)
double	Get_d2W_dI1I2 (double I1, double I2)
double	GetC1 ()
double	GetC2 ()
	MooneyRivlinMaterialLaw (double c1, double c2=MINUS_LARGE)
void	ScaleMaterialParameters (double scaleFactor)
Public Member Functions inherited from AbstractIsotropicIncompressibleMaterialLaw< 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	~AbstractIsotropicIncompressibleMaterialLaw ()
double	GetZeroStrainPressure ()
Public Member Functions inherited from AbstractIncompressibleMaterialLaw< DIM >
	AbstractIncompressibleMaterialLaw ()
virtual	~AbstractIncompressibleMaterialLaw ()
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	mC2

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 MooneyRivlinMaterialLaw< DIM >

MooneyRivlinMaterialLaw

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

The law is given by a strain energy function W(I_1,I_2,I_3) = c1(I_1-3) + c2(I_2-3) - p/2 C^{-1} in 3d, or W(I_1,I_3) = c1(I_1-2) - p/2 C^{-1} in 2d.

Here I_i are the principal invariants of C, the Lagrangian deformation tensor. (I1=trace(C), I2=trace(C)^2-trace(C^2), I3=det(C)).

Note: only dimension equals 2 or 3 is permitted.

Definition at line 64 of file MooneyRivlinMaterialLaw.hpp.

Constructor & Destructor Documentation

MooneyRivlinMaterialLaw()

template<unsigned DIM>

MooneyRivlinMaterialLaw< DIM >::MooneyRivlinMaterialLaw	(	double	c1,
		double	c2 = MINUS_LARGE
	)

Constructor, Taking in mooney-rivlin parameters c1 and c2. Note: c2 is not used if the dimension is 2. Just pass in c1 if 2d.

Parameters

c1	parameter c1
c2	parameter c2 (defaults to MINUS_LARGE)

Definition at line 85 of file MooneyRivlinMaterialLaw.cpp.

References EXCEPTION.

Member Function Documentation

Get_d2W_dI1()

template<unsigned DIM>

double MooneyRivlinMaterialLaw< DIM >::Get_d2W_dI1 ( double  I1, double  I2  )

virtual

Returns

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

Todo:

The name of this method should not include underscores.

Parameters

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

Implements AbstractIsotropicIncompressibleMaterialLaw< DIM >.

Definition at line 52 of file MooneyRivlinMaterialLaw.cpp.

Get_d2W_dI1I2()

template<unsigned DIM>

double MooneyRivlinMaterialLaw< DIM >::Get_d2W_dI1I2 ( double  I1, double  I2  )

virtual

Returns

the second derivative d^2W/dI1dI2.

Todo:

The name of this method should not include underscores.

Parameters

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

Implements AbstractIsotropicIncompressibleMaterialLaw< DIM >.

Definition at line 65 of file MooneyRivlinMaterialLaw.cpp.

Get_d2W_dI2()

template<unsigned DIM>

double MooneyRivlinMaterialLaw< DIM >::Get_d2W_dI2 ( double  I1, double  I2  )

virtual

Returns

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

Todo:

The name of this method should not include underscores.

Parameters

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

Implements AbstractIsotropicIncompressibleMaterialLaw< DIM >.

Definition at line 58 of file MooneyRivlinMaterialLaw.cpp.

Get_dW_dI1()

template<unsigned DIM>

double MooneyRivlinMaterialLaw< DIM >::Get_dW_dI1 ( double  I1, double  I2  )

virtual

Returns

the first derivative dW/dI1.

Todo:

The name of this method should not include underscores.

Parameters

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

Implements AbstractIsotropicIncompressibleMaterialLaw< DIM >.

Definition at line 39 of file MooneyRivlinMaterialLaw.cpp.

Get_dW_dI2()

template<unsigned DIM>

double MooneyRivlinMaterialLaw< DIM >::Get_dW_dI2 ( double  I1, double  I2  )

virtual

Returns

the first derivative dW/dI2.

Todo:

The name of this method should not include underscores.

Parameters

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

Implements AbstractIsotropicIncompressibleMaterialLaw< DIM >.

Definition at line 45 of file MooneyRivlinMaterialLaw.cpp.

GetC1()

template<unsigned DIM>

double MooneyRivlinMaterialLaw< DIM >::GetC1

(

)

Returns

mC1.

Definition at line 72 of file MooneyRivlinMaterialLaw.cpp.

GetC2()

template<unsigned DIM>

double MooneyRivlinMaterialLaw< DIM >::GetC2

(

)

Returns

mC2.

Definition at line 78 of file MooneyRivlinMaterialLaw.cpp.

ScaleMaterialParameters()

template<unsigned DIM>

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

virtual

Scale the dimensional material parameters.

Parameters

scaleFactor

Reimplemented from AbstractMaterialLaw< DIM >.

Definition at line 104 of file MooneyRivlinMaterialLaw.cpp.

Member Data Documentation

mC1

template<unsigned DIM>

double MooneyRivlinMaterialLaw< DIM >::mC1

private

Parameter c1.

Definition at line 69 of file MooneyRivlinMaterialLaw.hpp.

mC2

template<unsigned DIM>

double MooneyRivlinMaterialLaw< DIM >::mC2

private

Parameter c2.

Definition at line 72 of file MooneyRivlinMaterialLaw.hpp.

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

• continuum_mechanics/src/problem/material_laws/MooneyRivlinMaterialLaw.hpp
• continuum_mechanics/src/problem/material_laws/MooneyRivlinMaterialLaw.cpp