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rAKA/src/model/nonlinear_beam/newmark-beta-NL-beam.cc
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newmark-beta-NL-beam.cc
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/**
* @file newmark-beta.cc
*
* @author David Simon Kammer <david.kammer@epfl.ch>
* @author Nicolas Richart <nicolas.richart@epfl.ch>
*
* @date creation: Fri Oct 23 2015
* @date last modification: Wed Mar 27 2019
*
* @brief implementation of the newmark-@f$\beta@f$ integration scheme. This
* implementation is taken from Méthodes numériques en mécanique des solides by
* Alain Curnier \note{ISBN: 2-88074-247-1}
*
*
* @section LICENSE
*
* Copyright (©) 2015-2021 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/>.
*
*/
/* -------------------------------------------------------------------------- */
#include "newmark-beta-NL-beam.hh"
#include "dof_manager.hh"
#include "sparse_matrix.hh"
#include "aka_types.hh"
/* -------------------------------------------------------------------------- */
namespace akantu {
/* -------------------------------------------------------------------------- */
NewmarkBetaNLBeam::NewmarkBetaNLBeam(DOFManager & dof_manager, const ID & dof_id)
: CentralDifference(dof_manager, dof_id) {
}
/* -------------------------------------------------------------------------- */
void NewmarkBetaNLBeam::predictor(Real delta_t, Array<Real> & u, Array<Real> & u_dot,
Array<Real> & u_dot_dot,
const Array<bool> & blocked_dofs) const {
AKANTU_DEBUG_IN();
UInt nb_nodes = u.size();
UInt nb_degree_of_freedom = u.getNbComponent() * nb_nodes;
Real * u_dot_val = u_dot.storage();
Real * u_dot_dot_val = u_dot_dot.storage();
bool * blocked_dofs_val = blocked_dofs.storage();
for (UInt d = 0; d < nb_degree_of_freedom; d++) {
if (!(*blocked_dofs_val)) {
*u_dot_val = *u_dot_val + delta_t / 2 * *u_dot_dot_val;
}
u_dot_val++;
u_dot_dot_val++;
blocked_dofs_val++;
}
UInt dim = u.getNbComponent() / 2;
for(auto && data : zip(make_view(blocked_dofs, dim, 2), make_view(u,dim, 2), make_view(u_dot,dim,2))) {
Vector<bool> blocked_u = std::get<0>(data)(0);
Vector<bool> blocked_theta = std::get<0>(data)(1);
Vector<Real> disp = std::get<1>(data)(0);
Vector<Real> theta = std::get<1>(data)(1);
Vector<Real> vel = std::get<2>(data)(0);
Vector<Real> rv = std::get<2>(data)(1);
disp += delta_t * vel;
theta = logMap(expMap(delta_t * rv) * expMap(theta));
}
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
void NewmarkBetaNLBeam::corrector(Real delta_t,
Array<Real> & u, Array<Real> & u_dot,
Array<Real> & u_dot_dot,
const Array<bool> & blocked_dofs) const {
AKANTU_DEBUG_IN();
UInt nb_nodes = u.size();
UInt nb_degree_of_freedom = u.getNbComponent() * nb_nodes;
Real * u_dot_val = u_dot.storage();
Real * u_dot_dot_val = u_dot_dot.storage();
bool * blocked_dofs_val = blocked_dofs.storage();
for (UInt d = 0; d < nb_degree_of_freedom; d++) {
if (!(*blocked_dofs_val)) {
*u_dot_val = *u_dot_val + delta_t / 2 * *u_dot_dot_val;
}
u_dot_val++;
u_dot_dot_val++;
blocked_dofs_val++;
}
AKANTU_DEBUG_OUT();
}
} // namespace akantu
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