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Chaste Commit::333233612e3dcc941d260418acd7b5ccdc30390e
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#include <PolynomialMaterialLaw3d.hpp>
Static Public Member Functions | |
static std::vector< std::vector< double > > | GetZeroedAlpha (unsigned n) |
Private Attributes | |
unsigned | mN |
std::vector< std::vector< double > > | mAlpha |
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 |
An incompressible, isotropic, hyperelastic material law with a polynomial form
W(I_1,I_2) = Sigma_{0<p+q<=N} alpha_{pq} (I_1-3)^p (I_2-3)^q - (pressure/2) C^{-1}
For example, if N=1, this reduces to the Mooney Rivlin law W(I_1,I_2) = alpha_{10} (I_1-3) + alpha_{01} (I_2-3) - (pressure/2) C^{-1} ie the matrix alpha has the form [ 0 c1 ] [ c2 0 ] where c1 and c2 is the usual notation for the Mooney-Rivlin constants
The polynomial is specified by passing in N and the matrix (actually a std::vector of std::vector<double>s) alpha. alpha should be of size N+1 by N+1, with the bottom right hand block (ie the components such that p+q>N) all zero. alpha[0][0] should really also be 0, but, being since alpha[0][0] (I1_3)^0 (I2-3)^0 is a constant and disappears when the strain energy W is differentiated to obtain the stress, it is not used. An exception is thrown if alpha[p][q]!=0 for p+q > N though.
Definition at line 64 of file PolynomialMaterialLaw3d.hpp.
PolynomialMaterialLaw3d::PolynomialMaterialLaw3d | ( | unsigned | n, |
std::vector< std::vector< double > > | alpha | ||
) |
Constructor.
n | the parameter n |
alpha | the matrix of parameters alpha |
Definition at line 130 of file PolynomialMaterialLaw3d.cpp.
I1 | first principal invariant of C |
I2 | second principal invariant of C |
Implements AbstractIsotropicIncompressibleMaterialLaw< 3 >.
Definition at line 71 of file PolynomialMaterialLaw3d.cpp.
I1 | first principal invariant of C |
I2 | second principal invariant of C |
Implements AbstractIsotropicIncompressibleMaterialLaw< 3 >.
Definition at line 105 of file PolynomialMaterialLaw3d.cpp.
I1 | first principal invariant of C |
I2 | second principal invariant of C |
Implements AbstractIsotropicIncompressibleMaterialLaw< 3 >.
Definition at line 88 of file PolynomialMaterialLaw3d.cpp.
I1 | first principal invariant of C |
I2 | second principal invariant of C |
Implements AbstractIsotropicIncompressibleMaterialLaw< 3 >.
Definition at line 38 of file PolynomialMaterialLaw3d.cpp.
I1 | first principal invariant of C |
I2 | second principal invariant of C |
Implements AbstractIsotropicIncompressibleMaterialLaw< 3 >.
Definition at line 55 of file PolynomialMaterialLaw3d.cpp.
i | index i |
j | index j |
Definition at line 122 of file PolynomialMaterialLaw3d.cpp.
Resize the matrix alpha to be of size (n+1)*(n+1) and zero all entries.
n | the parameter n |
Definition at line 159 of file PolynomialMaterialLaw3d.cpp.
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private |
Matrix of parameters alpha.
Definition at line 72 of file PolynomialMaterialLaw3d.hpp.
Referenced by PolynomialMaterialLaw3d(), Get_d2W_dI1(), Get_d2W_dI1I2(), Get_d2W_dI2(), Get_dW_dI1(), Get_dW_dI2(), and GetAlpha().
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private |
Parameter N.
Definition at line 69 of file PolynomialMaterialLaw3d.hpp.
Referenced by PolynomialMaterialLaw3d(), Get_d2W_dI1(), Get_d2W_dI1I2(), Get_d2W_dI2(), Get_dW_dI1(), Get_dW_dI2(), and GetAlpha().