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rAKA/src/model/structural_mechanics/structural_elements/structural_element_bernoulli_beam_2.hh
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/**
* @file structural_element_bernoulli_beam_2.hh
*
* @author Fabian Barras <fabian.barras@epfl.ch>
* @author Sébastien Hartmann <sebastien.hartmann@epfl.ch>
* @author Nicolas Richart <nicolas.richart@epfl.ch>
*
* @date creation Tue Sep 19 2017
*
* @brief Specific functions for bernoulli beam 2d
*
* @section LICENSE
*
* Copyright (©) 2010-2011 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/>.
*
*/
/* -------------------------------------------------------------------------- */
#include "aka_common.hh"
#include "structural_mechanics_model.hh"
/* -------------------------------------------------------------------------- */
#ifndef __AKANTU_STRUCTURAL_ELEMENT_BERNOULLI_BEAM_2_HH__
#define __AKANTU_STRUCTURAL_ELEMENT_BERNOULLI_BEAM_2_HH__
namespace akantu {
/* -------------------------------------------------------------------------- */
template <>
inline void StructuralMechanicsModel::assembleMass<_bernoulli_beam_2>() {
AKANTU_DEBUG_IN();
const ElementType type = _bernoulli_beam_2;
auto & fem = getFEEngineClass<MyFEEngineType>();
auto nb_element = mesh.getNbElement(type);
auto nb_nodes_per_element = mesh.getNbNodesPerElement(type);
auto nb_quadrature_points = fem.getNbIntegrationPoints(type);
auto nb_fields_to_interpolate = ElementClass<type>::getVoigtSize();
auto nt_n_field_size = nb_degree_of_freedom * nb_nodes_per_element;
Array<Real> n(nb_element * nb_quadrature_points,
nb_fields_to_interpolate * nt_n_field_size, "N");
const auto & N_star = fem.getShapes(type);
// for
Array<Real> * rho_field =
new Array<Real>(nb_element * nb_quadrature_points, 1, "Rho");
rho_field->clear();
computeRho(*rho_field, type, _not_ghost);
bool sign = true;
for (auto ghost_type : ghost_types) {
// fem.computeShapesMatrix(type, nb_degree_of_freedom, nb_nodes_per_element,
// n,
// 0, 0, 0, sign, ghost_type); // Ni ui -> u
// fem.computeShapesMatrix(type, nb_degree_of_freedom, nb_nodes_per_element,
// n,
// 1, 1, 1, sign, ghost_type); // Mi vi -> v
// fem.computeShapesMatrix(type, nb_degree_of_freedom, nb_nodes_per_element,
// n,
// 2, 2, 1, sign, ghost_type); // Li Theta_i -> v
// fem.assembleFieldMatrix(*rho_field, nb_degree_of_freedom, *mass_matrix,
// n,
// rotation_matrix, type, ghost_type);
}
// delete n;
delete rho_field;
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
template <>
void StructuralMechanicsModel::computeRotationMatrix<_bernoulli_beam_2>(
Array<Real> & rotations) {
auto type = _bernoulli_beam_2;
auto nb_element = mesh.getNbElement(type);
auto connec_it = mesh.getConnectivity(type).begin(2);
auto nodes_it = mesh.getNodes().begin(spatial_dimension);
auto R_it = rotations.begin(nb_degree_of_freedom, nb_degree_of_freedom);
for (UInt e = 0; e < nb_element; ++e, ++R_it, ++connec_it) {
auto & R = *R_it;
auto & connec = *connec_it;
Vector<Real> x2 = nodes_it[connec(1)]; // X2
Vector<Real> x1 = nodes_it[connec(0)]; // X1
auto le = x1.distance(x2);
auto c = (x2(0) - x1(0)) / le;
auto s = (x2(1) - x1(1)) / le;
/// Definition of the rotation matrix
R = {{c, s, 0.}, {-s, c, 0.}, {0., 0., 1.}};
}
}
/* -------------------------------------------------------------------------- */
template <>
void StructuralMechanicsModel::computeTangentModuli<_bernoulli_beam_2>(
Array<Real> & tangent_moduli) {
auto nb_element = getFEEngine().getMesh().getNbElement(_bernoulli_beam_2);
auto nb_quadrature_points =
getFEEngine().getNbIntegrationPoints(_bernoulli_beam_2);
auto tangent_size = 2;
auto D_it = tangent_moduli.begin(tangent_size, tangent_size);
auto el_mat = element_material(_bernoulli_beam_2, _not_ghost).begin();
for (auto & mat : element_material(_bernoulli_beam_2, _not_ghost)) {
auto E = materials[mat].E;
auto A = materials[mat].A;
auto I = materials[mat].I;
for (UInt q = 0; q < nb_quadrature_points; ++q, ++D_it) {
auto & D = *D_it;
D(0, 0) = E * A;
D(1, 1) = E * I;
}
}
}
} // namespace akantu
#endif /* __AKANTU_STRUCTURAL_ELEMENT_BERNOULLI_BEAM_2_HH__ */
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