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shape_structural.hh
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/**
* Copyright (©) 2011-2023 EPFL (Ecole Polytechnique Fédérale de Lausanne)
* Laboratory (LSMS - Laboratoire de Simulation en Mécanique des Solides)
*
* This file is part of Akantu
*
* 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 "shape_functions.hh"
/* -------------------------------------------------------------------------- */
#ifndef AKANTU_SHAPE_STRUCTURAL_HH_
#define AKANTU_SHAPE_STRUCTURAL_HH_
namespace akantu {
template <ElementKind kind> class ShapeStructural : public ShapeFunctions {
/* ------------------------------------------------------------------------ */
/* Constructors/Destructors */
/* ------------------------------------------------------------------------ */
// Ctors/Dtors should be explicitely implemented for _ek_structural
public:
ShapeStructural(Mesh & mesh, Int spatial_dimension,
const ID & id = "shape_structural");
~ShapeStructural() override;
/* ------------------------------------------------------------------------ */
/* Methods */
/* ------------------------------------------------------------------------ */
public:
/// function to print the contain of the class
void printself(std::ostream & stream, int indent = 0) const override {
std::string space(indent, AKANTU_INDENT);
stream << space << "ShapesStructural [" << std::endl;
rotation_matrices.printself(stream, indent + 1);
ShapeFunctions::printself(stream, indent + 1);
stream << space << "]" << std::endl;
}
private:
template <ElementType type>
void computeShapesOnIntegrationPointsInternal(
const Array<Real> & nodes, const Matrix<Real> & integration_points,
Array<Real> & shapes, GhostType ghost_type,
const Array<Idx> & filter_elements = empty_filter,
bool mass = false) const;
public:
/// compute shape functions on given integration points
template <ElementType type>
void computeShapesOnIntegrationPoints(
const Array<Real> & nodes, const Matrix<Real> & integration_points,
Array<Real> & shapes, GhostType ghost_type,
const Array<Idx> & filter_elements = empty_filter) const {
this->template computeShapesOnIntegrationPointsInternal<type>(
nodes, integration_points, shapes, ghost_type, filter_elements, false);
}
template <ElementType type>
void computeShapesMassOnIntegrationPoints(
const Array<Real> & nodes, const Matrix<Real> & integration_points,
Array<Real> & shapes, GhostType ghost_type,
const Array<Idx> & filter_elements = empty_filter) const {
this->template computeShapesOnIntegrationPointsInternal<type>(
nodes, integration_points, shapes, ghost_type, filter_elements, true);
}
/// initialization function for structural elements
inline void initShapeFunctions(const Array<Real> & nodes,
const Matrix<Real> & integration_points,
ElementType type, GhostType ghost_type);
/// precompute the rotation matrices for the elements dofs
template <ElementType type>
void precomputeRotationMatrices(const Array<Real> & nodes,
GhostType ghost_type);
/// pre compute all shapes on the element integration points from natural
/// coordinates
template <ElementType type>
void precomputeShapesOnIntegrationPoints(const Array<Real> & nodes,
GhostType ghost_type);
/// pre compute all shapes on the element integration points from natural
/// coordinates
template <ElementType type>
void precomputeShapeDerivativesOnIntegrationPoints(const Array<Real> & nodes,
GhostType ghost_type);
/// interpolate nodal values on the integration points
template <ElementType type>
void interpolateOnIntegrationPoints(
const Array<Real> & u, Array<Real> & uq, Int nb_dof,
GhostType ghost_type = _not_ghost,
const Array<Idx> & filter_elements = empty_filter) const;
/// compute the gradient of u on the integration points
template <ElementType type>
void gradientOnIntegrationPoints(
const Array<Real> & u, Array<Real> & nablauq, Int nb_dof,
GhostType ghost_type = _not_ghost,
const Array<Idx> & filter_elements = empty_filter) const;
/// interpolate on physical point
template <ElementType type, typename D1, typename D2, typename D3,
aka::enable_if_t<aka::are_vectors<D1, D3>::value> * = nullptr>
void interpolate(const Eigen::MatrixBase<D1> & /*real_coords*/, Idx /*elem*/,
const Eigen::MatrixBase<D2> & /*nodal_values*/,
Eigen::MatrixBase<D3> & /*interpolated*/,
GhostType /*ghost_type*/) const {
AKANTU_TO_IMPLEMENT();
}
/// compute the shapes on a provided point
template <ElementType type, typename D1, typename D2,
aka::enable_if_t<aka::are_vectors<D1, D2>::value> * = nullptr>
void computeShapes(const Eigen::MatrixBase<D1> & /*real_coords*/,
Idx /*elem*/, Eigen::MatrixBase<D2> & /*shapes*/,
GhostType /*ghost_type*/) const {
AKANTU_TO_IMPLEMENT();
}
/// compute the shape derivatives on a provided point
template <ElementType type, typename D1>
void computeShapeDerivatives(const Eigen::MatrixBase<D1> & /*real_coords*/,
Idx /*elem*/, Tensor3Base<Real> & /*shapes*/,
GhostType /*ghost_type*/) const {
AKANTU_TO_IMPLEMENT();
}
/// get the rotations vector
inline const Array<Real> &
getRotations(ElementType el_type,
GhostType /*ghost_type*/ = _not_ghost) const {
return rotation_matrices(el_type);
}
/* ------------------------------------------------------------------------ */
template <ElementType type>
void computeBtD(const Array<Real> & /*Ds*/, Array<Real> & /*BtDs*/,
GhostType /*ghost_type*/,
const Array<Idx> & /*filter_elements*/) const {
AKANTU_TO_IMPLEMENT();
}
template <ElementType type>
void computeBtDB(const Array<Real> & /*Ds*/, Array<Real> & /*BtDBs*/,
Int /*order_d*/, GhostType /*ghost_type*/,
const Array<Idx> & /*filter_elements*/) const {
AKANTU_TO_IMPLEMENT();
}
template <ElementType type>
void computeNtbN(const Array<Real> & /*bs*/, Array<Real> & /*NtbNs*/,
GhostType /*ghost_type*/,
const Array<Idx> & /*filter_elements*/) const {
AKANTU_TO_IMPLEMENT();
}
/// multiply a field by shape functions
template <ElementType type>
void computeNtb(const Array<Real> & /*bs*/, Array<Real> & /*Ntbs*/,
GhostType /*ghost_type*/,
const Array<Idx> & /*filter_elements*/ = empty_filter) const {
AKANTU_TO_IMPLEMENT();
}
protected:
ElementTypeMapArray<Real> rotation_matrices;
};
} // namespace akantu
#include "shape_structural_inline_impl.hh"
#endif /* AKANTU_SHAPE_STRUCTURAL_HH_ */

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