MooneyRivlinMaterialLaw< DIM > Class Template Reference

#include <MooneyRivlinMaterialLaw.hpp>

Inheritance diagram for MooneyRivlinMaterialLaw< DIM >:

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Collaboration diagram for MooneyRivlinMaterialLaw< DIM >:

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List of all members.

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)
Private Attributes
double	mC1
double	mC2

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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 57 of file MooneyRivlinMaterialLaw.hpp.

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Constructor & Destructor Documentation

template<unsigned DIM>

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

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 90 of file MooneyRivlinMaterialLaw.cpp.

References EXCEPTION.

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Member Function Documentation

template<unsigned DIM>

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

Get 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 32 of file MooneyRivlinMaterialLaw.cpp.

References MooneyRivlinMaterialLaw< DIM >::mC1.

template<unsigned DIM>

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

Get 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 38 of file MooneyRivlinMaterialLaw.cpp.

References MooneyRivlinMaterialLaw< DIM >::mC2.

template<unsigned DIM>

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

Get 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 49 of file MooneyRivlinMaterialLaw.cpp.

template<unsigned DIM>

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

Get 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 55 of file MooneyRivlinMaterialLaw.cpp.

template<unsigned DIM>

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

Get 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 66 of file MooneyRivlinMaterialLaw.cpp.

template<unsigned DIM>

double MooneyRivlinMaterialLaw< DIM >::GetC1

(

)

[inline]

Get method for mC1.

Definition at line 77 of file MooneyRivlinMaterialLaw.cpp.

References MooneyRivlinMaterialLaw< DIM >::mC1.

template<unsigned DIM>

double MooneyRivlinMaterialLaw< DIM >::GetC2

(

)

[inline]

Get method for mC2.

Definition at line 83 of file MooneyRivlinMaterialLaw.cpp.

References MooneyRivlinMaterialLaw< DIM >::mC2.

template<unsigned DIM>

void MooneyRivlinMaterialLaw< DIM >::ScaleMaterialParameters

(

double

scaleFactor

)

[inline, virtual]

Scale the dimensional material parameters.

Parameters:

scaleFactor

Reimplemented from AbstractMaterialLaw< DIM >.

Definition at line 109 of file MooneyRivlinMaterialLaw.cpp.

References MooneyRivlinMaterialLaw< DIM >::mC1, and MooneyRivlinMaterialLaw< DIM >::mC2.

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Member Data Documentation

template<unsigned DIM>

double MooneyRivlinMaterialLaw< DIM >::mC1 [private]

Parameter c1.

Definition at line 62 of file MooneyRivlinMaterialLaw.hpp.

Referenced by MooneyRivlinMaterialLaw< DIM >::Get_dW_dI1(), MooneyRivlinMaterialLaw< DIM >::GetC1(), and MooneyRivlinMaterialLaw< DIM >::ScaleMaterialParameters().

template<unsigned DIM>

double MooneyRivlinMaterialLaw< DIM >::mC2 [private]

Parameter c2.

Definition at line 65 of file MooneyRivlinMaterialLaw.hpp.

Referenced by MooneyRivlinMaterialLaw< DIM >::Get_dW_dI2(), MooneyRivlinMaterialLaw< DIM >::GetC2(), and MooneyRivlinMaterialLaw< DIM >::ScaleMaterialParameters().

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

• pde/src/problem/MooneyRivlinMaterialLaw.hpp
• pde/src/problem/MooneyRivlinMaterialLaw.cpp