#include <AbstractIsotropicCompressibleMaterialLaw.hpp>

Inheritance diagram for AbstractIsotropicCompressibleMaterialLaw< DIM >:

Collaboration diagram for AbstractIsotropicCompressibleMaterialLaw< DIM >:

Public Member Functions
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	~AbstractIsotropicCompressibleMaterialLaw ()

Public Member Functions inherited from AbstractCompressibleMaterialLaw< DIM >
	AbstractCompressibleMaterialLaw ()

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 ()

Protected Member Functions
virtual double	Get_dW_dI1 (double I1, double I2, double I3)=0

virtual double	Get_dW_dI2 (double I1, double I2, double I3)=0

virtual double	Get_dW_dI3 (double I1, double I2, double I3)=0

virtual double	Get_d2W_dI1 (double I1, double I2, double I3)=0

virtual double	Get_d2W_dI2 (double I1, double I2, double I3)=0

virtual double	Get_d2W_dI3 (double I1, double I2, double I3)=0

virtual double	Get_d2W_dI2I3 (double I1, double I2, double I3)=0

virtual double	Get_d2W_dI1I3 (double I1, double I2, double I3)=0

virtual double	Get_d2W_dI1I2 (double I1, double I2, double I3)=0

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)

Additional Inherited Members
Protected Attributes inherited from AbstractMaterialLaw< DIM >
c_matrix< double, DIM, DIM > *	mpChangeOfBasisMatrix

Detailed Description

template<unsigned DIM>
class AbstractIsotropicCompressibleMaterialLaw< DIM >

AbstractIsotropicCompressibleMaterialLaw

An isotropic COMPRESSIBLE hyper-elastic material law for finite elasticity, of the form W(E) = W(I1,I2,I3) where I1,I2,I3 are the principal invariants of C, the Lagrangian deformation tensor. (NOT the deviatoric versions of these scalars), and the derivatives with respect to these invariants need to be prescribed by the concrete class.

(I1=trace(C), I2=0.5(trace(C)^2-trace(C^2)), I3=det(C)).

Definition at line 54 of file AbstractIsotropicCompressibleMaterialLaw.hpp.

Constructor & Destructor Documentation

template<unsigned DIM>

AbstractIsotropicCompressibleMaterialLaw< DIM >::~AbstractIsotropicCompressibleMaterialLaw ( )

virtual

Destructor.

Definition at line 39 of file AbstractIsotropicCompressibleMaterialLaw.cpp.

Member Function Documentation

template<unsigned DIM>

void AbstractIsotropicCompressibleMaterialLaw< DIM >::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

Compute the (2nd Piola Kirchoff) stress T and the stress derivative dT/dE for a given strain.

NOTE: the strain E is not expected to be passed in, instead the Lagrangian deformation tensor C is required (recall, E = 0.5(C-I)

dT/dE is a fourth-order tensor, where dT/dE(M,N,P,Q) = dT^{MN}/dE_{PQ}

Parameters

rC	The Lagrangian deformation tensor (F^T F)
rInvC	The inverse of C. Should be computed by the user. (Change this?)
pressure	the current pressure – NOT USED AS COMPRESSIBLE LAW
rT	the stress will be returned in this parameter
rDTdE	the stress derivative will be returned in this parameter, assuming the final parameter is true
computeDTdE	a boolean flag saying whether the stress derivative is required or not.

This is the implemtation for an isotropic material law, so the stress etc is computed by calling methods returning dW/dI1, dW/dI2 etc.

Implements AbstractMaterialLaw< DIM >.

Definition at line 44 of file AbstractIsotropicCompressibleMaterialLaw.cpp.

References Determinant(), SecondInvariant(), and Trace().

template<unsigned DIM>

virtual double AbstractIsotropicCompressibleMaterialLaw< DIM >::Get_d2W_dI1	(	double	I1,
		double	I2,
		double	I3
	)

protectedpure virtual

Returns: 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

Implemented in CompressibleMooneyRivlinMaterialLaw< DIM >.

template<unsigned DIM>

virtual double AbstractIsotropicCompressibleMaterialLaw< DIM >::Get_d2W_dI1I2	(	double	I1,
		double	I2,
		double	I3
	)

protectedpure virtual

Returns: 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

Implemented in CompressibleMooneyRivlinMaterialLaw< DIM >.

template<unsigned DIM>

virtual double AbstractIsotropicCompressibleMaterialLaw< DIM >::Get_d2W_dI1I3	(	double	I1,
		double	I2,
		double	I3
	)

protectedpure virtual

Returns: 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

Implemented in CompressibleMooneyRivlinMaterialLaw< DIM >.

template<unsigned DIM>

virtual double AbstractIsotropicCompressibleMaterialLaw< DIM >::Get_d2W_dI2	(	double	I1,
		double	I2,
		double	I3
	)

protectedpure virtual

Returns: 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

Implemented in CompressibleMooneyRivlinMaterialLaw< DIM >.

template<unsigned DIM>

virtual double AbstractIsotropicCompressibleMaterialLaw< DIM >::Get_d2W_dI2I3	(	double	I1,
		double	I2,
		double	I3
	)

protectedpure virtual

Returns: 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

Implemented in CompressibleMooneyRivlinMaterialLaw< DIM >.

template<unsigned DIM>

virtual double AbstractIsotropicCompressibleMaterialLaw< DIM >::Get_d2W_dI3	(	double	I1,
		double	I2,
		double	I3
	)

protectedpure virtual

Returns: 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

Implemented in CompressibleMooneyRivlinMaterialLaw< DIM >.

template<unsigned DIM>

virtual double AbstractIsotropicCompressibleMaterialLaw< DIM >::Get_dW_dI1	(	double	I1,
		double	I2,
		double	I3
	)

protectedpure virtual

Returns: the first derivative dW/dI1.

Parameters

I1	first principal invariant of C
I2	second principal invariant of C
I3	third principal invariant of C

Implemented in CompressibleMooneyRivlinMaterialLaw< DIM >.

template<unsigned DIM>

virtual double AbstractIsotropicCompressibleMaterialLaw< DIM >::Get_dW_dI2	(	double	I1,
		double	I2,
		double	I3
	)

protectedpure virtual

Returns: the first derivative dW/dI2.

Parameters

I1	first principal invariant of C
I2	second principal invariant of C
I3	third principal invariant of C

Implemented in CompressibleMooneyRivlinMaterialLaw< DIM >.

template<unsigned DIM>

virtual double AbstractIsotropicCompressibleMaterialLaw< DIM >::Get_dW_dI3	(	double	I1,
		double	I2,
		double	I3
	)

protectedpure virtual

Returns: the first derivative dW/dI3.

Parameters

I1	first principal invariant of C
I2	second principal invariant of C
I3	third principal invariant of C

Implemented in CompressibleMooneyRivlinMaterialLaw< DIM >.

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

continuum_mechanics/src/problem/material_laws/AbstractIsotropicCompressibleMaterialLaw.hpp
continuum_mechanics/src/problem/material_laws/AbstractIsotropicCompressibleMaterialLaw.cpp

Public Member Functions

Protected Member Functions

Additional Inherited Members

Detailed Description

template<unsigned DIM> class AbstractIsotropicCompressibleMaterialLaw< DIM >

Constructor & Destructor Documentation

Member Function Documentation

template<unsigned DIM>
class AbstractIsotropicCompressibleMaterialLaw< DIM >