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structural_element_kirchhoff_shell.hh
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structural_element_kirchhoff_shell.hh
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/**
* @file structural_element_kirchhoff_shell.hh
*
* @author Fabian Barras <fabian.barras@epfl.ch>
* @author Lucas Frerot <lucas.frerot@epfl.ch>
* @author Sébastien Hartmann <sebastien.hartmann@epfl.ch>
* @author Nicolas Richart <nicolas.richart@epfl.ch>
* @author Damien Spielmann <damien.spielmann@epfl.ch>
*
* @date creation: Wed Oct 11 2017
* @date last modification: Fri Feb 05 2021
*
* @brief Specific functions for bernoulli kirchhoff shell
*
*
* @section LICENSE
*
* Copyright (©) 2016-2021 EPFL (Ecole Polytechnique Fédérale de Lausanne)
* Laboratory (LSMS - Laboratoire de Simulation en Mécanique des Solides)
*
* Akantu is free software: you can redistribute it and/or modify it under the
* terms of the GNU Lesser General Public License as published by the Free
* Software Foundation, either version 3 of the License, or (at your option) any
* later version.
*
* Akantu 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 Lesser General Public License for more
* details.
*
* You should have received a copy of the GNU Lesser General Public License
* along with Akantu. If not, see <http://www.gnu.org/licenses/>.
*
*/
/* -------------------------------------------------------------------------- */
#ifndef AKANTU_STRUCTURAL_ELEMENT_BERNOULLI_KIRCHHOFF_SHELL_HH_
#define AKANTU_STRUCTURAL_ELEMENT_BERNOULLI_KIRCHHOFF_SHELL_HH_
#include "structural_mechanics_model.hh"
namespace akantu {
/* -------------------------------------------------------------------------- */
template <>
void StructuralMechanicsModel::computeTangentModuli<
_discrete_kirchhoff_triangle_18>(Array<Real> & tangent_moduli) {
auto tangent_size =
ElementClass<_discrete_kirchhoff_triangle_18>::getNbStressComponents();
auto nb_quad =
getFEEngine().getNbIntegrationPoints(_discrete_kirchhoff_triangle_18);
auto H_it = tangent_moduli.begin(tangent_size, tangent_size);
for (UInt mat :
element_material(_discrete_kirchhoff_triangle_18, _not_ghost)) {
auto & m = materials[mat];
for (UInt q = 0; q < nb_quad; ++q, ++H_it) {
auto & H = *H_it;
H.zero();
Matrix<Real> D = {{1, m.nu, 0}, {m.nu, 1, 0}, {0, 0, (1 - m.nu) / 2}};
D *= m.E * m.t / (1 - m.nu * m.nu);
H.block(D, 0, 0); // in plane membrane behavior
H.block(D * Math::pow<3>(m.t) / 12., 3, 3); // bending behavior
}
}
}
} // namespace akantu
#endif /* AKANTU_STRUCTURAL_ELEMENT_BERNOULLI_DISCRETE_KIRCHHOFF_TRIANGLE_18_HH_ \
*/

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