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structural_element_kirchhoff_shell.hh
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Thu, May 23, 12:17

structural_element_kirchhoff_shell.hh
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/**
* Copyright (©) 2017-2023 EPFL (Ecole Polytechnique Fédérale de Lausanne)
* Laboratory (LSMS - Laboratoire de Simulation en Mécanique des Solides)
*
* This file is part of Akantu
*
* 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 (Int mat :
element_material(_discrete_kirchhoff_triangle_18, _not_ghost)) {
auto & m = materials[mat];
Matrix<Real, 3, 3> 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);
for (Int q = 0; q < nb_quad; ++q, ++H_it) {
auto & H = *H_it;
H.zero();
H.block<3, 3>(0, 0) = D; // in plane membrane behavior
H.block<3, 3>(3, 3) = D * Math::pow<3>(m.t) / 12.; // bending behavior
}
}
}
} // namespace akantu
#endif /* AKANTU_STRUCTURAL_ELEMENT_BERNOULLI_DISCRETE_KIRCHHOFF_TRIANGLE_18_HH_ \
*/

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