elastic_tensor_decomposition.h

Go to the documentation of this file.

/*
 Copyright (C) 2023 - 2024 by the authors of the ASPECT code.
 This file is part of ASPECT.
 ASPECT is free software; you can redistribute it and/or modify
 it under the terms of the GNU General Public License as published by
 the Free Software Foundation; either version 2, or (at your option)
 any later version.
 ASPECT is distributed in the hope that it will be useful,
 but WITHOUT ANY WARRANTY; without even the implied warranty of
 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
 GNU General Public License for more details.
 You should have received a copy of the GNU General Public License
 along with ASPECT; see the file LICENSE.  If not see
 <http://www.gnu.org/licenses/>.
 */

#ifndef _aspect_particle_property_elastic_tensor_decomposition_h
#define _aspect_particle_property_elastic_tensor_decomposition_h

#include <aspect/particle/property/interface.h>
#include <aspect/simulator_access.h>

namespace aspect
{
  namespace Particle
  {
    namespace Property
    {
      namespace Utilities
      {
        using namespace aspect::Utilities;

        std::array<unsigned int, 3>
        indexed_even_permutation(const unsigned int index);

        SymmetricTensor<2,3>
        compute_voigt_stiffness_tensor(const SymmetricTensor<2,6> &elastic_tensor);

        SymmetricTensor<2,3>
        compute_dilatation_stiffness_tensor(const SymmetricTensor<2,6> &elastic_tensor);

        Tensor<2,3> compute_unpermutated_SCCS(const SymmetricTensor<2,3> &dilatation_stiffness_tensor,
                                              const SymmetricTensor<2,3> &voigt_stiffness_tensor);

        std::array<std::array<double,3>,7>
        compute_elastic_tensor_SCCS_decompositions(
          const Tensor<2,3> &unpermutated_SCCS,
          const SymmetricTensor<2,6> &elastic_matrix);


        static const SymmetricTensor<2,21> 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> 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> 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> 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> 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.         }
        })
        );
      }

      template <int dim>
      class ElasticTensorDecomposition : public Interface<dim>, public ::aspect::SimulatorAccess<dim>
      {
        public:
          ElasticTensorDecomposition() = default;

          void
          initialize () override;

          void
          initialize_one_particle_property (const Point<dim> &position,
                                            std::vector<double> &particle_properties) const override;

          void
          update_particle_properties (const ParticleUpdateInputs<dim> &inputs,
                                      typename ParticleHandler<dim>::particle_iterator_range &particles) const override;

          UpdateTimeFlags
          need_update () const override;

          std::vector<std::pair<std::string, unsigned int>>
          get_property_information() const override;

        private:
          unsigned int cpo_elastic_tensor_data_position;
      };
    }
  }
}

#endif