ExponentialMaterialLaw< DIM > Class Template Reference

#include <ExponentialMaterialLaw.hpp>

Inheritance diagram for ExponentialMaterialLaw< DIM >:

Collaboration diagram for ExponentialMaterialLaw< 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	GetA ()
double	GetB ()
	ExponentialMaterialLaw (double a, double b)
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 ()
template<>
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)
virtual void	ScaleMaterialParameters (double scaleFactor)
void	SetChangeOfBasisMatrix (c_matrix< double, DIM, DIM > &rChangeOfBasisMatrix)
void	ResetToNoChangeOfBasisMatrix ()

Private Attributes
double	mA
double	mB

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 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 62 of file ExponentialMaterialLaw.hpp.

Constructor & Destructor Documentation

template<unsigned DIM>

ExponentialMaterialLaw< DIM >::ExponentialMaterialLaw	(	double	a,
		double	b
	)

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

Parameters

a	the parameter a
b	the parameter b

Definition at line 39 of file ExponentialMaterialLaw.cpp.

References EXCEPTION.

Member Function Documentation

template<unsigned DIM>

double ExponentialMaterialLaw< 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 83 of file ExponentialMaterialLaw.cpp.

template<unsigned DIM>

double ExponentialMaterialLaw< 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 103 of file ExponentialMaterialLaw.cpp.

template<unsigned DIM>

double ExponentialMaterialLaw< 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 89 of file ExponentialMaterialLaw.cpp.

template<unsigned DIM>

double ExponentialMaterialLaw< 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 63 of file ExponentialMaterialLaw.cpp.

template<unsigned DIM>

double ExponentialMaterialLaw< 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 69 of file ExponentialMaterialLaw.cpp.

template<unsigned DIM>

double ExponentialMaterialLaw< DIM >::GetA

(

)

Returns

mA.

Definition at line 51 of file ExponentialMaterialLaw.cpp.

template<unsigned DIM>

double ExponentialMaterialLaw< DIM >::GetB

(

)

Returns

mB.

Definition at line 57 of file ExponentialMaterialLaw.cpp.

Member Data Documentation

template<unsigned DIM>

double ExponentialMaterialLaw< DIM >::mA

private

Parameter a.

Definition at line 67 of file ExponentialMaterialLaw.hpp.

template<unsigned DIM>

double ExponentialMaterialLaw< DIM >::mB

private

Parameter b.

Definition at line 70 of file ExponentialMaterialLaw.hpp.

---

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

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