Page MenuHomec4science
Files F69774419

element_class_segment_2_inline_impl.hh
No OneTemporary
Actions

File Metadata

Created
Wed, Jul 3, 10:32

element_class_segment_2_inline_impl.hh
View Options

/**
* @file element_class_segment_2_inline_impl.hh
*
* @author Emil Gallyamov <emil.gallyamov@epfl.ch>
* @author Mohit Pundir <mohit.pundir@epfl.ch>
* @author Nicolas Richart <nicolas.richart@epfl.ch>
*
* @date creation: Fri Jul 16 2010
* @date last modification: Fri Dec 11 2020
*
* @brief Specialization of the element_class class for the type _segment_2
*
*
* @section LICENSE
*
* Copyright (©) 2010-2021 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/>.
*
*/
/**
* @verbatim
q
--x--------|--------x---> x
-1 0 1
@endverbatim
*
* @f{eqnarray*}{
* w_1(x) &=& 1/2(1 - x) \\
* w_2(x) &=& 1/2(1 + x)
* @f}
*
* @f{eqnarray*}{
* x_{q} &=& 0
* @f}
*/
/* -------------------------------------------------------------------------- */
#include "element_class.hh"
/* -------------------------------------------------------------------------- */
namespace akantu {
/* -------------------------------------------------------------------------- */
AKANTU_DEFINE_ELEMENT_CLASS_PROPERTY(_segment_2, _gt_segment_2,
_itp_lagrange_segment_2, _ek_regular, 1,
_git_segment, 1);
/* -------------------------------------------------------------------------- */
template <>
template <class D1, class D2,
aka::enable_if_t<aka::are_vectors<D1, D2>::value> *>
inline void InterpolationElement<_itp_lagrange_segment_2>::computeShapes(
const Eigen::MatrixBase<D1> & natural_coords, Eigen::MatrixBase<D2> & N) {
/// natural coordinate
Real c = natural_coords(0);
/// shape functions
N(0) = 0.5 * (1 - c);
N(1) = 0.5 * (1 + c);
}
/* -------------------------------------------------------------------------- */
template <>
template <class D1, class D2>
inline void InterpolationElement<_itp_lagrange_segment_2>::computeDNDS(
const Eigen::MatrixBase<D1> & /*natural_coords*/,
Eigen::MatrixBase<D2> & dnds) {
/// dN1/de
dnds(0, 0) = -.5;
/// dN2/de
dnds(0, 1) = .5;
}
/* -------------------------------------------------------------------------- */
template <>
template <class vector_type, class matrix_type>
inline void InterpolationElement<_itp_lagrange_segment_2>::computeD2NDS2(
const vector_type & /*natural_coords*/, matrix_type & d2nds2) {
d2nds2.zero();
}
/* -------------------------------------------------------------------------- */
template <>
template <class D>
inline Real GeometricalElement<_gt_segment_2>::getInradius(
const Eigen::MatrixBase<D> & coord) {
auto a{coord(0)};
auto b{coord(1)};
return (b - a).norm();
}
/* -------------------------------------------------------------------------- */
template <>
template <class D1, class D2>
inline void GeometricalElement<_gt_segment_2>::getNormal(
const Eigen::MatrixBase<D1> & coord, Eigen::MatrixBase<D2> & normal) {
AKANTU_DEBUG_ASSERT(normal.size() == 2,
"The normal is only uniquely defined in 2D");
Math::normal(coord.col(0) - coord.col(1), normal);
}
/* -------------------------------------------------------------------------- */
} // namespace akantu

Event Timeline

c4science · Help