elastic_tensor_decomposition.h File Reference

Include dependency graph for elastic_tensor_decomposition.h:

Go to the source code of this file.

Classes
class	aspect::Particle::Property::ElasticTensorDecomposition< dim >

Namespaces
	aspect
	aspect::Particle
	aspect::Particle::Property
	aspect::Particle::Property::Utilities

Functions
std::array< unsigned int, 3 >	aspect::Particle::Property::Utilities::indexed_even_permutation (const unsigned int index)
SymmetricTensor< 2, 3 >	aspect::Particle::Property::Utilities::compute_voigt_stiffness_tensor (const SymmetricTensor< 2, 6 > &elastic_tensor)
SymmetricTensor< 2, 3 >	aspect::Particle::Property::Utilities::compute_dilatation_stiffness_tensor (const SymmetricTensor< 2, 6 > &elastic_tensor)
Tensor< 2, 3 >	aspect::Particle::Property::Utilities::compute_unpermutated_SCCS (const SymmetricTensor< 2, 3 > &dilatation_stiffness_tensor, const SymmetricTensor< 2, 3 > &voigt_stiffness_tensor)
std::array< std::array< double, 3 >, 7 >	aspect::Particle::Property::Utilities::compute_elastic_tensor_SCCS_decompositions (const Tensor< 2, 3 > &unpermutated_SCCS, const SymmetricTensor< 2, 6 > &elastic_matrix)
static const SymmetricTensor< 2, 21 >	aspect::Particle::Property::Utilities::projection_matrix_triclinic_to_monoclinic (Tensor< 2, 21 >({ {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1}, }))
static const SymmetricTensor< 2, 9 >	aspect::Particle::Property::Utilities::projection_matrix_monoclinic_to_orthorhombic (Tensor< 2, 9 >({ {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1} }))
static const SymmetricTensor< 2, 9 >	aspect::Particle::Property::Utilities::projection_matrix_orthorhombic_to_tetragonal (Tensor< 2, 9 >({ {0.5, 0.5, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0}, {0.5, 0.5, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0}, {0.0, 0.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0}, {0.0, 0.0, 0.0, 0.5, 0.5, 0.0, 0.0, 0.0, 0.0}, {0.0, 0.0, 0.0, 0.5, 0.5, 0.0, 0.0, 0.0, 0.0}, {0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, 0.0}, {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.5, 0.5, 0.0}, {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.5, 0.5, 0.0}, {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0} }))
static const SymmetricTensor< 2, 9 >	aspect::Particle::Property::Utilities::projection_matrix_tetragonal_to_hexagonal (Tensor< 2, 9 >({ {3./8., 3./8., 0.0, 0.0, 0.0, 1./(4.*sqrt(2.)), 0.0, 0.0, 1./4. }, {3./8., 3./8., 0.0, 0.0, 0.0, 1./(4.*sqrt(2.)), 0.0, 0.0, 1./4. }, {0.0, 0.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 }, {0.0, 0.0, 0.0, 0.5, 0.5, 0.0, 0.0, 0.0, 0.0 }, {0.0, 0.0, 0.0, 0.5, 0.5, 0.0, 0.0, 0.0, 0.0 }, {1./(4.*sqrt(2.)), 1./(4.*sqrt(2.)), 0.0, 0.0, 0.0, 3./4., 0.0, 0.0, -1./(2.*sqrt(2.))}, {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.5, 0.5, 0.0 }, {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.5, 0.5, 0.0 }, {1./4., 1./4., 0.0, 0.0, 0.0, -1./(2.*sqrt(2.)), 0.0, 0.0, 0.5 } }))
static const SymmetricTensor< 2, 9 >	aspect::Particle::Property::Utilities::projection_matrix_hexagonal_to_isotropic (Tensor< 2, 9 >({ {3./15., 3./15., 3./15., sqrt(2.)/15., sqrt(2.)/15., sqrt(2.)/15., 2./15., 2./15., 2./15. }, {3./15., 3./15., 3./15., sqrt(2.)/15., sqrt(2.)/15., sqrt(2.)/15., 2./15., 2./15., 2./15. }, {3./15., 3./15., 3./15., sqrt(2.)/15., sqrt(2.)/15., sqrt(2.)/15., 2./15., 2./15., 2./15. }, {sqrt(2.)/15., sqrt(2.)/15., sqrt(2.)/15., 4./15., 4./15., 4./15., -sqrt(2.)/15., -sqrt(2.)/15., -sqrt(2.)/15. }, {sqrt(2.)/15., sqrt(2.)/15., sqrt(2.)/15., 4./15., 4./15., 4./15., -sqrt(2.)/15., -sqrt(2.)/15., -sqrt(2.)/15. }, {sqrt(2.)/15., sqrt(2.)/15., sqrt(2.)/15., 4./15., 4./15., 4./15., -sqrt(2.)/15., -sqrt(2.)/15., -sqrt(2.)/15. }, {2./15., 2./15., 2./15., -sqrt(2.)/15., -sqrt(2.)/15., -sqrt(2.)/15., 1./5., 1./5., 1./5. }, {2./15., 2./15., 2./15., -sqrt(2.)/15., -sqrt(2.)/15., -sqrt(2.)/15., 1./5., 1./5., 1./5. }, {2./15., 2./15., 2./15., -sqrt(2.)/15., -sqrt(2.)/15., -sqrt(2.)/15., 1./5., 1./5., 1./5. } }))