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shape_cohesive.hh
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/**
* @file shape_cohesive.hh
*
* @author Marco Vocialta <marco.vocialta@epfl.ch>
* @author Nicolas Richart <nicolas.richart@epfl.ch>
*
* @date creation: Fri Feb 03 2012
* @date last modification: Fri Jun 13 2014
*
* @brief shape functions for cohesive elements description
*
* @section LICENSE
*
* Copyright (©) 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/>.
*
*/
/* -------------------------------------------------------------------------- */
#include "aka_array.hh"
#include "shape_functions.hh"
/* -------------------------------------------------------------------------- */
#ifndef __AKANTU_SHAPE_COHESIVE_HH__
#define __AKANTU_SHAPE_COHESIVE_HH__
__BEGIN_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 ShapeFunctions {
/* ------------------------------------------------------------------------ */
/* Constructors/Destructors */
/* ------------------------------------------------------------------------ */
public:
ShapeLagrange(const Mesh & mesh,
const ID & id = "shape_cohesive",
const MemoryID & memory_id = 0);
virtual ~ShapeLagrange() { }
/* ------------------------------------------------------------------------ */
/* Methods */
/* ------------------------------------------------------------------------ */
public:
inline void initShapeFunctions(const Array<Real> & nodes,
const Matrix<Real> & control_points,
const ElementType & type,
const 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,
const GhostType & ghost_type = _not_ghost,
const Array<UInt> & filter_elements = empty_filter) const;
/// pre compute all shapes on the element control points from natural coordinates
template <ElementType type>
void precomputeShapesOnControlPoints(const Array<Real> & nodes,
GhostType ghost_type);
/// pre compute all shape derivatives on the element control points from natural coordinates
template <ElementType type>
void precomputeShapeDerivativesOnControlPoints(const Array<Real> & nodes,
GhostType ghost_type);
/// interpolate nodal values on the control points
template <ElementType type, class ReduceFunction>
void interpolateOnControlPoints(const Array<Real> &u,
Array<Real> &uq,
UInt nb_degree_of_freedom,
const GhostType ghost_type = _not_ghost,
const Array<UInt> & filter_elements = empty_filter) const;
template <ElementType type>
void interpolateOnControlPoints(const Array<Real> &u,
Array<Real> &uq,
UInt nb_degree_of_freedom,
const GhostType ghost_type = _not_ghost,
const Array<UInt> & filter_elements = empty_filter) const {
interpolateOnControlPoints<type, CohesiveReduceFunctionMean>(u, uq, nb_degree_of_freedom, ghost_type, filter_elements);
}
/// compute the gradient of u on the control points in the natural coordinates
template <ElementType type>
void gradientOnControlPoints(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 {
variationOnControlPoints<type, CohesiveReduceFunctionMean>(u, nablauq, nb_degree_of_freedom, ghost_type, filter_elements);
}
/// compute the gradient of u on the control points
template <ElementType type, class ReduceFunction>
void variationOnControlPoints(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;
template <ElementType type, class ReduceFunction>
void computeNormalsOnControlPoints(const Array<Real> &u,
Array<Real> &normals_u,
GhostType ghost_type = _not_ghost,
const Array<UInt> & filter_elements = empty_filter) const;
/// multiply a field by shape functions
template <ElementType type>
void fieldTimesShapes(const Array<Real> & field,
Array<Real> & fiedl_times_shapes,
GhostType ghost_type) const {
AKANTU_DEBUG_TO_IMPLEMENT();
}
/* ------------------------------------------------------------------------ */
/* Accessors */
/* ------------------------------------------------------------------------ */
public:
/// get a the shapes vector
inline const Array<Real> & getShapes(const ElementType & el_type,
const GhostType & ghost_type = _not_ghost) const;
/// get a the shapes derivatives vector
inline const Array<Real> & getShapesDerivatives(const ElementType & el_type,
const GhostType & ghost_type = _not_ghost) const;
/* ------------------------------------------------------------------------ */
/* Class Members */
/* ------------------------------------------------------------------------ */
protected:
/// shape functions for all elements
ElementTypeMapArray<Real, InterpolationType> shapes;
/// shape functions derivatives for all elements
ElementTypeMapArray<Real, InterpolationType> shapes_derivatives;
};
// __END_AKANTU__
// #include "shape_lagrange.hh"
// __BEGIN_AKANTU__
// template<>
// class ShapeLagrange<_ek_cohesive> : public ShapeCohesive< ShapeLagrange<_ek_regular> > {
// public:
// ShapeLagrange(const Mesh & mesh,
// const ID & id = "shape_cohesive",
// const MemoryID & memory_id = 0) :
// ShapeCohesive< ShapeLagrange<_ek_regular> >(mesh, id, memory_id) { }
// virtual ~ShapeLagrange() { };
// };
/* -------------------------------------------------------------------------- */
/* inline functions */
/* -------------------------------------------------------------------------- */
#include "shape_cohesive_inline_impl.cc"
/// standard output stream operator
template <class ShapeFunction>
inline std::ostream & operator <<(std::ostream & stream, const ShapeCohesive<ShapeFunction> & _this)
{
_this.printself(stream);
return stream;
}
__END_AKANTU__
#endif /* __AKANTU_SHAPE_COHESIVE_HH__ */

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