#include <PoleZeroMaterialLaw.hpp>

Inheritance diagram for PoleZeroMaterialLaw< DIM >:

Collaboration diagram for PoleZeroMaterialLaw< DIM >:

Public Member Functions
	PoleZeroMaterialLaw (std::vector< std::vector< double > > k, std::vector< std::vector< double > > a, std::vector< std::vector< double > > b)

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)

double	GetZeroStrainPressure ()

void	ScaleMaterialParameters (double scaleFactor)

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)

void	SetChangeOfBasisMatrix (c_matrix< double, DIM, DIM > &rChangeOfBasisMatrix)

void	ResetToNoChangeOfBasisMatrix ()

Protected Member Functions
	PoleZeroMaterialLaw ()

void	SetParameters (std::vector< std::vector< double > > k, std::vector< std::vector< double > > a, std::vector< std::vector< double > > b)

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)

Private Attributes
std::vector< std::vector< double > >	mK

std::vector< std::vector< double > >	mA

std::vector< std::vector< double > >	mB

c_matrix< double, DIM, DIM >	mIdentity

Friends
class	TestMaterialLaws

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

Detailed Description

template<unsigned DIM>
class PoleZeroMaterialLaw< DIM >

Pole-zero material law, as stated in: "Computational mechanics of the heart: from tissue structure to ventricular function" Nash, Hunter, J. Elasticity, 2000; or in Chapter 41 of "Cardiac Mechano-Electric Feedback and Arrhythmias: from Pipette to Patient" (eds Franz, Kohl, Sachs), Remme, Nash and Hunter, 2005.

W = Sum_{M,N=1..3} k_{MN} E_{MN}^2 / (a_{MN} - E_{MN})^b_{MN}

This class doesn't set parameter values, see NashHunterPoleZeroLaw for a derived class which sets cardiac parameter values.

Not isotropic, so inherits directly from AbstractIncompressibleMaterialLaw

Note, by default, the fibre direction is assumed to be THE X-DIRECTION, and the sheet direction the Y-DIRECTION (ie sheets in the XY plane). Call SetChangeOfBasisMatrix() before ComputeStressAndStressDerivative(), with the matrix P = [fibre_vec, sheet_vec, normal_vec] if this is not the case.

Definition at line 63 of file PoleZeroMaterialLaw.hpp.

Constructor & Destructor Documentation

template<unsigned DIM>

PoleZeroMaterialLaw< DIM >::PoleZeroMaterialLaw ( )

protected

Protected default constructor doing nothing. Just saw inherited classes can be instantiated and THEN set up the parameters

Definition at line 39 of file PoleZeroMaterialLaw.cpp.

template<unsigned DIM>

PoleZeroMaterialLaw< DIM >::PoleZeroMaterialLaw	(	std::vector< std::vector< double > >	k,
		std::vector< std::vector< double > >	a,
		std::vector< std::vector< double > >	b
	)

Constructor, taking in parameters k_i, a_i, b_i as matrices. These matrices must be of size DIM-by-DIM and must be symmetric

Note: using the k_1..k_6 convention, k_4 = 2*k[0][1] = 2*k[1][0], etc

Parameters

k	the parameter k
a	the parameter a
b	the parameter b

Definition at line 85 of file PoleZeroMaterialLaw.cpp.

Member Function Documentation

template<unsigned DIM>

void PoleZeroMaterialLaw< 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
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.

Implements AbstractMaterialLaw< DIM >.

Definition at line 93 of file PoleZeroMaterialLaw.cpp.

References EXCEPTION.

template<unsigned DIM>

double PoleZeroMaterialLaw< DIM >::GetZeroStrainPressure ( )

virtual

Returns: the pressure corresponding to E=0, ie C=identity.

Implements AbstractIncompressibleMaterialLaw< DIM >.

Definition at line 176 of file PoleZeroMaterialLaw.cpp.

template<unsigned DIM>

void PoleZeroMaterialLaw< DIM >::ScaleMaterialParameters ( double scaleFactor )

virtual

Scale the dimensional material parameters (ie the K's).

Parameters

scaleFactor

Reimplemented from AbstractMaterialLaw< DIM >.

Definition at line 182 of file PoleZeroMaterialLaw.cpp.

template<unsigned DIM>

void PoleZeroMaterialLaw< DIM >::SetParameters	(	std::vector< std::vector< double > >	k,
		std::vector< std::vector< double > >	a,
		std::vector< std::vector< double > >	b
	)

protected

Set k, a, and b. To be called by the constuctor or a child class Set comments for constructor.

Parameters

k	the parameter k
a	the parameter a
b	the parameter b

Definition at line 44 of file PoleZeroMaterialLaw.cpp.

References EXCEPTION.

Member Data Documentation

template<unsigned DIM>

std::vector<std::vector<double> > PoleZeroMaterialLaw< DIM >::mA

private

Matrix of parameters a.

Definition at line 73 of file PoleZeroMaterialLaw.hpp.

template<unsigned DIM>

std::vector<std::vector<double> > PoleZeroMaterialLaw< DIM >::mB

private

Matrix of parameters b.

Definition at line 76 of file PoleZeroMaterialLaw.hpp.

template<unsigned DIM>

c_matrix<double,DIM,DIM> PoleZeroMaterialLaw< DIM >::mIdentity

private

Identity matrix.

Definition at line 79 of file PoleZeroMaterialLaw.hpp.

template<unsigned DIM>

std::vector<std::vector<double> > PoleZeroMaterialLaw< DIM >::mK

private

Matrix of parameters k.

Definition at line 70 of file PoleZeroMaterialLaw.hpp.

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

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

Public Member Functions

Protected Member Functions

Private Attributes

Friends

Additional Inherited Members

Detailed Description

template<unsigned DIM> class PoleZeroMaterialLaw< DIM >

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation

template<unsigned DIM>
class PoleZeroMaterialLaw< DIM >