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rAKA/src/model/solid_mechanics/materials/material_embedded/material_reinforcement_inline_impl.cc
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material_reinforcement_inline_impl.cc
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/**
* @file material_reinforcement_inline_impl.cc
*
* @author Lucas Frérot <lucas.frerot@epfl.ch>
*
* @date creation: Thu Mar 12 2015
* @date last modification: Thu Mar 12 2015
*
* @brief Reinforcement material
*
* @section LICENSE
*
* Copyright (©) 2010-2012, 2014 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/>.
*
*/
/* -------------------------------------------------------------------------- */
/**
* The structure of the directing cosines matrix is :
* \f{eqnarray*}{
* C_{1,\cdot} & = & (l^2, m^2, n^2, mn, ln, lm) \\
* C_{i,j} & = & 0
* \f}
*
* with :
* \f[
* (l, m, n) = \frac{1}{\|\frac{\mathrm{d}\vec{r}(s)}{\mathrm{d}s}\|} \cdot \frac{\mathrm{d}\vec{r}(s)}{\mathrm{d}s}
* \f]
*/
template<UInt dim>
inline void MaterialReinforcement<dim>::computeDirectingCosinesOnQuad(const Matrix<Real> & nodes,
Matrix<Real> & cosines) {
AKANTU_DEBUG_IN();
AKANTU_DEBUG_ASSERT(nodes.cols() == 2, "Higher order reinforcement elements not implemented");
const Vector<Real> & a = nodes(0), b = nodes(1);
Vector<Real> delta = b - a;
cosines.clear();
Real sq_length = 0.;
for (UInt i = 0 ; i < dim ; i++) {
sq_length += Math::pow<2, Real>(delta(i));
}
if (dim == 2) {
cosines(0, 0) = Math::pow<2, Real>(delta(0)); // l^2
cosines(0, 1) = Math::pow<2, Real>(delta(1)); // m^2
cosines(0, 2) = delta(0) * delta(1); // lm
} else if (dim == 3) {
cosines(0, 0) = Math::pow<2, Real>(delta(0)); // l^2
cosines(0, 1) = Math::pow<2, Real>(delta(1)); // m^2
cosines(0, 2) = Math::pow<2, Real>(delta(2)); // n^2
cosines(0, 3) = delta(1) * delta(2); // mn
cosines(0, 4) = delta(0) * delta(2); // ln
cosines(0, 5) = delta(0) * delta(1); // lm
}
cosines /= sq_length;
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
template<UInt dim>
inline void MaterialReinforcement<dim>::stressTensorToVoigtVector(const Matrix<Real> & tensor,
Vector<Real> & vector) {
AKANTU_DEBUG_IN();
for (UInt i = 0; i < dim; i++) {
vector(i) = tensor(i, i);
}
if (dim == 2) {
vector(2) = tensor(0, 1);
} else if (dim == 3) {
vector(3) = tensor(1, 2);
vector(4) = tensor(0, 2);
vector(5) = tensor(0, 1);
}
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
template<UInt dim>
inline void MaterialReinforcement<dim>::strainTensorToVoigtVector(const Matrix<Real> & tensor,
Vector<Real> & vector) {
AKANTU_DEBUG_IN();
for (UInt i = 0; i < dim; i++) {
vector(i) = tensor(i, i);
}
if (dim == 2) {
vector(2) = 2 * tensor(0, 1);
} else if (dim == 3) {
vector(3) = 2 * tensor(1, 2);
vector(4) = 2 * tensor(0, 2);
vector(5) = 2 * tensor(0, 1);
}
AKANTU_DEBUG_OUT();
}
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