CompressibleMooneyRivlinMaterialLaw< DIM > Class Template Reference

#include <CompressibleMooneyRivlinMaterialLaw.hpp>

Inherits AbstractIsotropicCompressibleMaterialLaw< DIM >.

Collaboration diagram for CompressibleMooneyRivlinMaterialLaw< DIM >:

[legend]

List of all members.

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)
Private Attributes
double	mC1
double	mC3
Static Private Attributes
static const double	mMinusOneOverDimension = -1.0/DIM

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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 59 of file CompressibleMooneyRivlinMaterialLaw.hpp.

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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 209 of file CompressibleMooneyRivlinMaterialLaw.hpp.

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

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Member Function Documentation

template<unsigned DIM>

double CompressibleMooneyRivlinMaterialLaw< DIM >::Get_d2W_dI1	(	double	I1,
		double	I2,
		double	I3
	)			[inline, virtual]

Get 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 118 of file CompressibleMooneyRivlinMaterialLaw.hpp.

template<unsigned DIM>

double CompressibleMooneyRivlinMaterialLaw< DIM >::Get_d2W_dI1I2	(	double	I1,
		double	I2,
		double	I3
	)			[inline, virtual]

Get 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 185 of file CompressibleMooneyRivlinMaterialLaw.hpp.

template<unsigned DIM>

double CompressibleMooneyRivlinMaterialLaw< DIM >::Get_d2W_dI1I3	(	double	I1,
		double	I2,
		double	I3
	)			[inline, virtual]

Get 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 172 of file CompressibleMooneyRivlinMaterialLaw.hpp.

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

template<unsigned DIM>

double CompressibleMooneyRivlinMaterialLaw< DIM >::Get_d2W_dI2	(	double	I1,
		double	I2,
		double	I3
	)			[inline, virtual]

Get 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 131 of file CompressibleMooneyRivlinMaterialLaw.hpp.

template<unsigned DIM>

double CompressibleMooneyRivlinMaterialLaw< DIM >::Get_d2W_dI2I3	(	double	I1,
		double	I2,
		double	I3
	)			[inline, virtual]

Get 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 159 of file CompressibleMooneyRivlinMaterialLaw.hpp.

template<unsigned DIM>

double CompressibleMooneyRivlinMaterialLaw< DIM >::Get_d2W_dI3	(	double	I1,
		double	I2,
		double	I3
	)			[inline, virtual]

Get 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 144 of file CompressibleMooneyRivlinMaterialLaw.hpp.

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

template<unsigned DIM>

double CompressibleMooneyRivlinMaterialLaw< DIM >::Get_dW_dI1	(	double	I1,
		double	I2,
		double	I3
	)			[inline, virtual]

Get 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 81 of file CompressibleMooneyRivlinMaterialLaw.hpp.

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

template<unsigned DIM>

double CompressibleMooneyRivlinMaterialLaw< DIM >::Get_dW_dI2	(	double	I1,
		double	I2,
		double	I3
	)			[inline, virtual]

Get 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 93 of file CompressibleMooneyRivlinMaterialLaw.hpp.

template<unsigned DIM>

double CompressibleMooneyRivlinMaterialLaw< DIM >::Get_dW_dI3	(	double	I1,
		double	I2,
		double	I3
	)			[inline, virtual]

Get 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 105 of file CompressibleMooneyRivlinMaterialLaw.hpp.

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

template<unsigned DIM>

double CompressibleMooneyRivlinMaterialLaw< DIM >::GetC1

(

)

[inline]

Get method for mC1.

Definition at line 192 of file CompressibleMooneyRivlinMaterialLaw.hpp.

References CompressibleMooneyRivlinMaterialLaw< DIM >::mC1.

template<unsigned DIM>

double CompressibleMooneyRivlinMaterialLaw< DIM >::GetC3

(

)

[inline]

Get method for mC3.

Definition at line 198 of file CompressibleMooneyRivlinMaterialLaw.hpp.

References CompressibleMooneyRivlinMaterialLaw< DIM >::mC3.

template<unsigned DIM>

void CompressibleMooneyRivlinMaterialLaw< DIM >::ScaleMaterialParameters

(

double

scaleFactor

)

[inline, virtual]

Scale the dimensional material parameters.

Parameters:

scaleFactor

Reimplemented from AbstractMaterialLaw< DIM >.

Definition at line 221 of file CompressibleMooneyRivlinMaterialLaw.hpp.

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

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Member Data Documentation

template<unsigned DIM>

double CompressibleMooneyRivlinMaterialLaw< DIM >::mC1 [private]

Parameter c1.

Definition at line 64 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 67 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 >::mMinusOneOverDimension = -1.0/DIM [static, private]

-1.0/DIM

Definition at line 70 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