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Chaste Commit::333233612e3dcc941d260418acd7b5ccdc30390e
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#include <SchmidCostaExponentialLaw2d.hpp>
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 () |
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AbstractIncompressibleMaterialLaw () | |
virtual | ~AbstractIncompressibleMaterialLaw () |
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AbstractMaterialLaw () | |
virtual | ~AbstractMaterialLaw () |
virtual 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)=0 |
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 |
std::vector< std::vector< double > > | mB |
c_matrix< double, 2, 2 > | mIdentity |
Additional Inherited Members | |
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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) |
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c_matrix< double, DIM, DIM > * | mpChangeOfBasisMatrix |
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.
SchmidCostaExponentialLaw2d::SchmidCostaExponentialLaw2d | ( | ) |
Constructor.
Definition at line 38 of file SchmidCostaExponentialLaw2d.cpp.
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 | ||
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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}
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. |
Definition at line 66 of file SchmidCostaExponentialLaw2d.cpp.
References AbstractMaterialLaw< DIM >::ComputeTransformedDeformationTensor(), mA, mB, mIdentity, AbstractMaterialLaw< DIM >::TransformStressAndStressDerivative(), and FourthOrderTensor< DIM1, DIM2, DIM3, DIM4 >::Zero().
double SchmidCostaExponentialLaw2d::GetA | ( | ) |
std::vector< std::vector< double > > SchmidCostaExponentialLaw2d::GetB | ( | ) |
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virtual |
Implements AbstractIncompressibleMaterialLaw< 2 >.
Definition at line 135 of file SchmidCostaExponentialLaw2d.cpp.
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private |
Parameter a. (kPa)
Definition at line 63 of file SchmidCostaExponentialLaw2d.hpp.
Referenced by SchmidCostaExponentialLaw2d(), ComputeStressAndStressDerivative(), and GetA().
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private |
Matrix of parameters b (dimensionless).
Definition at line 66 of file SchmidCostaExponentialLaw2d.hpp.
Referenced by SchmidCostaExponentialLaw2d(), ComputeStressAndStressDerivative(), and GetB().
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private |
2D identity matrix.
Definition at line 69 of file SchmidCostaExponentialLaw2d.hpp.
Referenced by SchmidCostaExponentialLaw2d(), and ComputeStressAndStressDerivative().