SchmidCostaExponentialLaw2d Class Reference

#include <SchmidCostaExponentialLaw2d.hpp>

Inherits AbstractIncompressibleMaterialLaw< 2 >.

Collaboration diagram for SchmidCostaExponentialLaw2d:

Public Member Functions
	SchmidCostaExponentialLaw2d ()
void	ComputeStressAndStressDerivative (c_matrix< double, 2, 2 > &rC, c_matrix< double, 2, 2 > &rInvC, double pressure, c_matrix< double, 2, 2 > &rT, FourthOrderTensor< 2, 2, 2, 2 > &rDTdE, bool computeDTdE)
double	GetA ()
std::vector< std::vector < double > >	GetB ()
double	GetZeroStrainPressure ()
Private Attributes
double	mA
std::vector< std::vector < double > >	mB
c_matrix< double, 2, 2 >	mIdentity

Detailed Description

A 2d version of the material law in Costa, Holmes, McCulloch "Modelling Cardiac Mechanical Properties in Three Dimensions" Philo. Trans. R. Soc.

W = a[exp(Q)-1]/2 where Q = bff*Eff^2 + bfs*Efs^2 + bsf*Esf^2 + bss*Ess^2

where the parameters are taken from the fitting in Schmid,Nash,Young,Hunter "Myocardial Material Parameter Estimation - A Comparative Study for Simple Shear" Transactions of the ASME.

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 58 of file SchmidCostaExponentialLaw2d.hpp.

Constructor & Destructor Documentation

SchmidCostaExponentialLaw2d::SchmidCostaExponentialLaw2d ( )

Constructor.

Definition at line 38 of file SchmidCostaExponentialLaw2d.cpp.

References mA, mB, and mIdentity.

Member Function Documentation

void SchmidCostaExponentialLaw2d::ComputeStressAndStressDerivative	(	c_matrix< double, 2, 2 > &	rC,
		c_matrix< double, 2, 2 > &	rInvC,
		double	pressure,
		c_matrix< double, 2, 2 > &	rT,
		FourthOrderTensor< 2, 2, 2, 2 > &	rDTdE,
		bool	computeDTdE
	)

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.