ExponentialMaterialLaw< DIM > Class Template Reference

#include <ExponentialMaterialLaw.hpp>

Inheritance diagram for ExponentialMaterialLaw< DIM >:

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Collaboration diagram for ExponentialMaterialLaw< 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	GetA ()
double	GetB ()
	ExponentialMaterialLaw (double a, double b)
Private Attributes
double	mA
double	mB

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Detailed Description

template<unsigned DIM>
class ExponentialMaterialLaw< DIM >

ExponentialMaterialLaw

An exponential isotropic incompressible hyperelastic material law for finite elasticity

The law is given by a strain energy function W(I_1,I_2,I_3) = a exp( b(I_1-3) ) - p/2 C^{-1} in 3d, or W(I_1,I_2,I_3) = a exp( b(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 55 of file ExponentialMaterialLaw.hpp.

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Constructor & Destructor Documentation

template<unsigned DIM>

ExponentialMaterialLaw< DIM >::ExponentialMaterialLaw	(	double	a,
		double	b
	)			[inline]

Constructor, taking in the parameters a and b. a must be positive.

Parameters:

	a	the parameter a
	b	the parameter b

Definition at line 32 of file ExponentialMaterialLaw.cpp.

References EXCEPTION.

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Member Function Documentation

template<unsigned DIM>

double ExponentialMaterialLaw< 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 56 of file ExponentialMaterialLaw.cpp.

References ExponentialMaterialLaw< DIM >::mA, and ExponentialMaterialLaw< DIM >::mB.

template<unsigned DIM>

double ExponentialMaterialLaw< 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 62 of file ExponentialMaterialLaw.cpp.

template<unsigned DIM>

double ExponentialMaterialLaw< 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 74 of file ExponentialMaterialLaw.cpp.

References ExponentialMaterialLaw< DIM >::mA, and ExponentialMaterialLaw< DIM >::mB.

template<unsigned DIM>

double ExponentialMaterialLaw< 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 80 of file ExponentialMaterialLaw.cpp.

template<unsigned DIM>

double ExponentialMaterialLaw< 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 92 of file ExponentialMaterialLaw.cpp.

template<unsigned DIM>

double ExponentialMaterialLaw< DIM >::GetA

(

)

[inline]

Get method for mA.

Definition at line 44 of file ExponentialMaterialLaw.cpp.

References ExponentialMaterialLaw< DIM >::mA.

template<unsigned DIM>

double ExponentialMaterialLaw< DIM >::GetB

(

)

[inline]

Get method for mB.

Definition at line 50 of file ExponentialMaterialLaw.cpp.

References ExponentialMaterialLaw< DIM >::mB.

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Member Data Documentation

template<unsigned DIM>

double ExponentialMaterialLaw< DIM >::mA [private]

Parameter a.

Definition at line 60 of file ExponentialMaterialLaw.hpp.

Referenced by ExponentialMaterialLaw< DIM >::Get_d2W_dI1(), ExponentialMaterialLaw< DIM >::Get_dW_dI1(), and ExponentialMaterialLaw< DIM >::GetA().

template<unsigned DIM>

double ExponentialMaterialLaw< DIM >::mB [private]

Parameter b.

Definition at line 63 of file ExponentialMaterialLaw.hpp.

Referenced by ExponentialMaterialLaw< DIM >::Get_d2W_dI1(), ExponentialMaterialLaw< DIM >::Get_dW_dI1(), and ExponentialMaterialLaw< DIM >::GetB().

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

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