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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_bernoulli_kirchhoff_shell.hh
*
* @author Fabian Barras <fabian.barras@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 Tue Sep 19 2017
*
* @brief Specific functions for bernoulli kirchhoff shell
*
* @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/>.
*
*/
/* -------------------------------------------------------------------------- */
#ifndef __AKANTU_STRUCTURAL_ELEMENT_BERNOULLI_KIRCHHOFF_SHELL_HH__
#define __AKANTU_STRUCTURAL_ELEMENT_BERNOULLI_KIRCHHOFF_SHELL_HH__
namespace akantu {
/* -------------------------------------------------------------------------- */
template <>
inline void StructuralMechanicsModel::assembleMass<_discrete_kirchhoff_triangle_18>() {
AKANTU_DEBUG_TO_IMPLEMENT();
}
/* -------------------------------------------------------------------------- */
template <>
void StructuralMechanicsModel::computeRotationMatrix<_discrete_kirchhoff_triangle_18>(
Array<Real> & rotations) {
ElementType type = _discrete_kirchhoff_triangle_18;
Mesh & mesh = getFEEngine().getMesh();
UInt nb_element = mesh.getNbElement(type);
Array<UInt>::iterator<Vector<UInt> > connec_it =
mesh.getConnectivity(type).begin(3);
Array<Real>::vector_iterator nodes_it =
mesh.getNodes().begin(spatial_dimension);
Matrix<Real> Pe(spatial_dimension, spatial_dimension);
Matrix<Real> Pg(spatial_dimension, spatial_dimension);
Matrix<Real> inv_Pg(spatial_dimension, spatial_dimension);
Array<Real>::matrix_iterator R_it =
rotations.begin(nb_degree_of_freedom, nb_degree_of_freedom);
for (UInt e = 0; e < nb_element; ++e, ++connec_it, ++R_it) {
Pe.eye();
Matrix<Real> & R = *R_it;
Vector<UInt> & connec = *connec_it;
Vector<Real> x2;
x2 = nodes_it[connec(1)]; // X2
Vector<Real> x1;
x1 = nodes_it[connec(0)]; // X1
Vector<Real> x3;
x3 = nodes_it[connec(2)]; // X3
Vector<Real> Pg_col_1 = x2 - x1;
Vector<Real> Pg_col_2 = x3 - x1;
Vector<Real> Pg_col_3(spatial_dimension);
Pg_col_3.crossProduct(Pg_col_1, Pg_col_2);
for (UInt i = 0; i < spatial_dimension; ++i) {
Pg(i, 0) = Pg_col_1(i);
Pg(i, 1) = Pg_col_2(i);
Pg(i, 2) = Pg_col_3(i);
}
inv_Pg.inverse(Pg);
// Pe *= inv_Pg;
Pe.eye();
for (UInt i = 0; i < spatial_dimension; ++i) {
for (UInt j = 0; j < spatial_dimension; ++j) {
R(i, j) = Pe(i, j);
R(i + spatial_dimension, j + spatial_dimension) = Pe(i, j);
}
}
}
}
} // akantu
#endif /* __AKANTU_STRUCTURAL_ELEMENT_BERNOULLI_DISCRETE_KIRCHHOFF_TRIANGLE_18_HH__ */

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