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shape_cohesive.hh
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shape_cohesive.hh
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/**
* @file shape_cohesive.hh
*
* @author Nicolas Richart <nicolas.richart@epfl.ch>
* @author Marco Vocialta <marco.vocialta@epfl.ch>
*
* @date creation: Tue Feb 15 2011
* @date last modification: Tue Feb 20 2018
*
* @brief shape functions for cohesive elements description
*
*
* Copyright (©) 2010-2018 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 "aka_array.hh"
#include "shape_lagrange.hh"
/* -------------------------------------------------------------------------- */
#ifndef AKANTU_SHAPE_COHESIVE_HH_
#define AKANTU_SHAPE_COHESIVE_HH_
namespace akantu {
struct CohesiveReduceFunctionMean {
inline Real operator()(Real u_plus, Real u_minus) {
return .5 * (u_plus + u_minus);
}
};
struct CohesiveReduceFunctionOpening {
inline Real operator()(Real u_plus, Real u_minus) {
return (u_plus - u_minus);
}
};
template <> class ShapeLagrange<_ek_cohesive> : public ShapeLagrangeBase {
/* ------------------------------------------------------------------------ */
/* Constructors/Destructors */
/* ------------------------------------------------------------------------ */
public:
ShapeLagrange(const Mesh & mesh, UInt spatial_dimension,
const ID & id = "shape_cohesive");
~ShapeLagrange() override = default;
/* ------------------------------------------------------------------------ */
/* Methods */
/* ------------------------------------------------------------------------ */
public:
inline void initShapeFunctions(const Array<Real> & nodes,
const Matrix<Real> & integration_points,
ElementType type,
GhostType ghost_type);
/// extract the nodal values and store them per element
template <ElementType type, class ReduceFunction>
void extractNodalToElementField(
const Array<Real> & nodal_f, Array<Real> & elemental_f,
GhostType ghost_type = _not_ghost,
const Array<UInt> & filter_elements = empty_filter) const;
/// computes the shape functions derivatives for given interpolation points
template <ElementType type>
void computeShapeDerivativesOnIntegrationPoints(
const Array<Real> & nodes, const Matrix<Real> & integration_points,
Array<Real> & shape_derivatives, GhostType ghost_type,
const Array<UInt> & filter_elements = empty_filter) const;
void computeShapeDerivativesOnIntegrationPoints(
const Array<Real> & nodes, const Matrix<Real> & integration_points,
Array<Real> & shape_derivatives, ElementType type,
GhostType ghost_type,
const Array<UInt> & filter_elements) const override;
/// 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 shape derivatives 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, class ReduceFunction>
void interpolateOnIntegrationPoints(
const Array<Real> & u, Array<Real> & uq, UInt nb_degree_of_freedom,
GhostType ghost_type = _not_ghost,
const Array<UInt> & filter_elements = empty_filter) const;
template <ElementType type>
void interpolateOnIntegrationPoints(
const Array<Real> & u, Array<Real> & uq, UInt nb_degree_of_freedom,
GhostType ghost_type = _not_ghost,
const Array<UInt> & filter_elements = empty_filter) const {
interpolateOnIntegrationPoints<type, CohesiveReduceFunctionMean>(
u, uq, nb_degree_of_freedom, ghost_type, filter_elements);
}
/// compute the gradient of u on the integration points in the natural
/// coordinates
template <ElementType type>
void gradientOnIntegrationPoints(
const Array<Real> & u, Array<Real> & nablauq, UInt nb_degree_of_freedom,
GhostType ghost_type = _not_ghost,
const Array<UInt> & filter_elements = empty_filter) const {
variationOnIntegrationPoints<type, CohesiveReduceFunctionMean>(
u, nablauq, nb_degree_of_freedom, ghost_type, filter_elements);
}
/* ------------------------------------------------------------------------ */
template <ElementType type>
void computeBtD(const Array<Real> & /*Ds*/, Array<Real> & /*BtDs*/,
GhostType /*ghost_type*/,
const Array<UInt> & /*filter_elements*/) const {
AKANTU_TO_IMPLEMENT();
}
template <ElementType type>
void computeBtDB(const Array<Real> & /*Ds*/, Array<Real> & /*BtDBs*/,
UInt /*order_d*/, GhostType/*ghost_type*/,
const Array<UInt> & /*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<UInt> & /*filter_elements*/ = empty_filter) const {
AKANTU_TO_IMPLEMENT();
}
/* ------------------------------------------------------------------------ */
/// compute the gradient of u on the integration points
template <ElementType type, class ReduceFunction>
void variationOnIntegrationPoints(
const Array<Real> & u, Array<Real> & nablauq, UInt nb_degree_of_freedom,
GhostType ghost_type = _not_ghost,
const Array<UInt> & filter_elements = empty_filter) const;
/// compute the normals to the field u on integration points
template <ElementType type, class ReduceFunction>
void computeNormalsOnIntegrationPoints(
const Array<Real> & u, Array<Real> & normals_u,
GhostType ghost_type = _not_ghost,
const Array<UInt> & filter_elements = empty_filter) const;
};
/// standard output stream operator
template <class ShapeFunction>
inline std::ostream & operator<<(std::ostream & stream,
const ShapeCohesive<ShapeFunction> & _this) {
_this.printself(stream);
return stream;
}
} // namespace akantu
#include "shape_cohesive_inline_impl.hh"
#endif /* AKANTU_SHAPE_COHESIVE_HH_ */

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