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rAKA/model/structural_mechanics/structural_mechanics_model_inline_impl.cc
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structural_mechanics_model_inline_impl.cc
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/**
* @file structural_mechanics_model_inline_impl.cc
* @author Fabian Barras <fabian.barras@epfl.ch>
* @date Thu May 5 19:48:07 2011
*
* @brief
*
* @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/>.
*
*/
/* -------------------------------------------------------------------------- */
template<ElementType type>
inline UInt StructuralMechanicsModel::getTangentStiffnessVoigtSize() {
AKANTU_DEBUG_TO_IMPLEMENT();
}
template<>
inline UInt StructuralMechanicsModel::getTangentStiffnessVoigtSize<_bernoulli_beam_2>() {
return 2;
}
/* -------------------------------------------------------------------------- */
template <ElementType type>
void StructuralMechanicsModel::assembleStiffnessMatrix() {
AKANTU_DEBUG_IN();
SparseMatrix & K = *stiffness_matrix;
// const Vector<Int> & equation_number = *equation_number;
// const Vector<Real> * shapes_derivatives;
UInt nb_element = getFEM().getMesh().getNbElement(type);
UInt nb_nodes_per_element = Mesh::getNbNodesPerElement(type);
UInt nb_quadrature_points = getFEM().getNbQuadraturePoints(type);
UInt tangent_size = getTangentStiffnessVoigtSize<type>();
Vector<Real> * tangent_stiffness_matrix =
new Vector<Real>(nb_element*nb_quadrature_points, tangent_size * tangent_size,
"tangent_stiffness_matrix");
computeTangentStiffness<type>(*tangent_stiffness_matrix);
/// compute @f$\mathbf{B}^t * \mathbf{D} * \mathbf{B}@f$
UInt bt_d_b_size = nb_degre_of_freedom * nb_nodes_per_element;
Vector<Real> * bt_d_b = new Vector<Real>(nb_element*nb_quadrature_points,
bt_d_b_size * bt_d_b_size,
"B^t*D*B");
Vector<Real> * b = new Vector<Real>(nb_element*nb_quadrature_points,
tangent_size*bt_d_b_size,
"B");
transferBMatrixToSymVoigtBMatrix<type>(*b);
types::Matrix Bt_D(bt_d_b_size, tangent_size);
Vector<Real>::iterator<types::Matrix> B = b->begin(tangent_size, bt_d_b_size);
Vector<Real>::iterator<types::Matrix> D = tangent_stiffness_matrix->begin(tangent_size, tangent_size);
Vector<Real>::iterator<types::Matrix> Bt_D_B = bt_d_b->begin(bt_d_b_size, bt_d_b_size);
for (UInt e = 0; e < nb_element; ++e) {
for (UInt q = 0; q < nb_quadrature_points; ++q) {
Bt_D.mul<true, false>(*B, *D);
Bt_D_B->mul<false, false>(Bt_D, *B);
++B;
++D;
++Bt_D_B;
}
}
delete b;
delete tangent_stiffness_matrix;
/// compute @f$ k_e = \int_e \mathbf{B}^t * \mathbf{D} * \mathbf{B}@f$
Vector<Real> * int_bt_d_b = new Vector<Real>(0,
bt_d_b_size * bt_d_b_size,
"int_B^t*D*B");
getFEM().integrate(*bt_d_b, *int_bt_d_b,
bt_d_b_size * bt_d_b_size,
type);
delete bt_d_b;
getFEM().assembleMatrix(*int_bt_d_b, K, nb_degre_of_freedom, type);
delete int_bt_d_b;
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
template<ElementType type>
void StructuralMechanicsModel::computeTangentStiffness(Vector<Real> & tangent_stiffness_matrix) {
AKANTU_DEBUG_TO_IMPLEMENT();
}
/* -------------------------------------------------------------------------- */
template<ElementType type>
void StructuralMechanicsModel::transferBMatrixToSymVoigtBMatrix(Vector<Real> & b) {
AKANTU_DEBUG_TO_IMPLEMENT();
}
/* -------------------------------------------------------------------------- */
template<ElementType type>
void StructuralMechanicsModel::computeStressOnQuad() {
AKANTU_DEBUG_IN();
Vector<Real> & sigma = *stress(type, _not_ghost);
sigma.clear();
UInt nb_element = getFEM().getMesh().getNbElement(type);
UInt nb_nodes_per_element = Mesh::getNbNodesPerElement(type);
UInt nb_quadrature_points = getFEM().getNbQuadraturePoints(type);
const Vector<UInt> & connect = getFEM().getMesh().getConnectivity(type);
UInt tangent_size = getTangentStiffnessVoigtSize<type>();
Vector<Real> * tangent_stiffness_matrix =
new Vector<Real>(nb_element*nb_quadrature_points, tangent_size * tangent_size,
"tangent_stiffness_matrix");
computeTangentStiffness<type>(*tangent_stiffness_matrix);
/// compute DB
UInt d_b_size = nb_degre_of_freedom * nb_nodes_per_element;
Vector<Real> * d_b = new Vector<Real>(nb_element*nb_quadrature_points,
d_b_size * tangent_size,
"D*B");
Vector<Real> * b = new Vector<Real>(nb_element*nb_quadrature_points,
tangent_size*d_b_size,
"B");
transferBMatrixToSymVoigtBMatrix<type>(*b);
Vector<Real>::iterator<types::Matrix> B = b->begin(tangent_size, d_b_size);
Vector<Real>::iterator<types::Matrix> D = tangent_stiffness_matrix->begin(tangent_size, tangent_size);
Vector<Real>::iterator<types::Matrix> D_B = d_b->begin(tangent_size, d_b_size);
for (UInt e = 0; e < nb_element; ++e) {
for (UInt q = 0; q < nb_quadrature_points; ++q) {
D_B->mul<false, false>(*D, *B);
++B;
++D;
++D_B;
}
}
delete b;
delete tangent_stiffness_matrix;
/// compute DBu
D_B = d_b->begin(tangent_size, d_b_size);
Vector<Real>::iterator< types::RVector> DBu = sigma.begin(tangent_size);
types::RVector U (d_b_size);
for (UInt e = 0; e < nb_element; ++e) {
for (UInt n = 0; n < nb_nodes_per_element; ++n) {
memcpy(U.storage()+n*nb_degre_of_freedom,
displacement_rotation->values+connect(e,n)*nb_degre_of_freedom,
nb_degre_of_freedom*sizeof(Real));
}
for (UInt q = 0; q < nb_quadrature_points; ++q) {
DBu ->mul<false>(*D_B,U);
++D_B;
++DBu;
}
}
delete d_b;
AKANTU_DEBUG_OUT();
}
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