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element_class_structural.hh
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/**
* @file element_class_structural.hh
*
* @author Fabian Barras <fabian.barras@epfl.ch>
* @author Nicolas Richart <nicolas.richart@epfl.ch>
* @author Damien Spielmann <damien.spielmann@epfl.ch>
*
* @date creation: Thu Feb 21 2013
* @date last modification: Thu Oct 22 2015
*
* @brief Specialization of the element classes for structural elements
*
* @section LICENSE
*
* Copyright (©) 2014, 2015 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 "element_class.hh"
/* -------------------------------------------------------------------------- */
#ifndef __AKANTU_ELEMENT_CLASS_STRUCTURAL_HH__
#define __AKANTU_ELEMENT_CLASS_STRUCTURAL_HH__
namespace akantu {
/// Macro to generate the InterpolationProperty structures for different
/// interpolation types
#define AKANTU_DEFINE_STRUCTURAL_INTERPOLATION_TYPE_PROPERTY( \
itp_type, parent_type, ndim, ndof) \
template <> struct InterpolationProperty<itp_type> { \
static const InterpolationKind kind{_itk_structural}; \
static const UInt nb_nodes_per_element{ \
InterpolationProperty<parent_type>::nb_nodes_per_element}; \
static const InterpolationType parent_element_type{parent_type}; \
static const UInt natural_space_dimension{ndim}; \
static const UInt nb_degree_of_freedom{ndof}; \
}
/* -------------------------------------------------------------------------- */
template <InterpolationType interpolation_type>
class InterpolationElement<interpolation_type, _itk_structural> {
public:
using interpolation_property = InterpolationProperty<interpolation_type>;
/// compute the shape values for a given set of points in natural coordinates
static inline void computeShapes(const Matrix<Real> & natural_coord,
Tensor3<Real> & N,
const Matrix<Real> & real_nodal_coord) {
UInt nb_points = natural_coord.cols();
for (UInt p = 0; p < nb_points; ++p) {
Matrix<Real> Np = N(p);
computeShapes(natural_coord(p), Np, real_nodal_coord);
}
}
/// compute the shape values for a given point in natural coordinates
static inline void computeShapes(const Vector<Real> & natural_coord,
Matrix<Real> & N,
const Matrix<Real> & real_nodal_coord);
/**
* compute @f$ B_{ij} = \frac{\partial N_j}{\partial S_i} @f$ the variation of
* shape functions along with variation of natural coordinates on a given set
* of points in natural coordinates
*/
static inline void computeDNDS(const Matrix<Real> & natural_coord,
Tensor3<Real> & dnds,
const Matrix<Real> & real_nodal_coord) {
for (UInt i = 0; i < natural_coord.cols(); ++i) {
Matrix<Real> dnds_t = dnds(i);
computeDNDS(natural_coord(i), dnds_t, real_nodal_coord);
}
}
/**
* compute @f$ B_{ij} = \frac{\partial N_j}{\partial S_i} @f$ the variation of
* shape functions along with
* variation of natural coordinates on a given point in natural
* coordinates
*/
static inline void computeDNDS(const Vector<Real> & natural_coord,
Matrix<Real> & dnds,
const Matrix<Real> & real_nodal_coord);
public:
static AKANTU_GET_MACRO_NOT_CONST(
NbNodesPerInterpolationElement,
interpolation_property::nb_nodes_per_element, UInt);
static AKANTU_GET_MACRO_NOT_CONST(
ShapeSize,
(interpolation_property::nb_nodes_per_element *
interpolation_property::nb_degree_of_freedom *
interpolation_property::nb_degree_of_freedom),
UInt);
static AKANTU_GET_MACRO_NOT_CONST(
ShapeDerivativesSize,
(interpolation_property::nb_nodes_per_element *
interpolation_property::nb_degree_of_freedom *
interpolation_property::natural_space_dimension),
UInt);
static AKANTU_GET_MACRO_NOT_CONST(
NaturalSpaceDimension, interpolation_property::natural_space_dimension,
UInt);
static AKANTU_GET_MACRO_NOT_CONST(
NbDegreeOfFreedom,
interpolation_property::nb_degree_of_freedom, UInt);
};
/// Macro to generate the element class structures for different structural
/// element types
/* -------------------------------------------------------------------------- */
#define AKANTU_DEFINE_STRUCTURAL_ELEMENT_CLASS_PROPERTY( \
elem_type, geom_type, interp_type, parent_el_type, elem_kind, sp, \
gauss_int_type, min_int_order) \
template <> struct ElementClassProperty<elem_type> { \
static const GeometricalType geometrical_type{geom_type}; \
static const InterpolationType interpolation_type{interp_type}; \
static const ElementType parent_element_type{parent_el_type}; \
static const ElementKind element_kind{elem_kind}; \
static const UInt spatial_dimension{sp}; \
static const GaussIntegrationType gauss_integration_type{gauss_int_type}; \
static const UInt polynomial_degree{min_int_order}; \
}
/* -------------------------------------------------------------------------- */
/* ElementClass for structural elements */
/* -------------------------------------------------------------------------- */
template <ElementType element_type>
class ElementClass<element_type, _ek_structural>
: public GeometricalElement<
ElementClassProperty<element_type>::geometrical_type>,
public InterpolationElement<
ElementClassProperty<element_type>::interpolation_type> {
protected:
using geometrical_element =
GeometricalElement<ElementClassProperty<element_type>::geometrical_type>;
using interpolation_element = InterpolationElement<
ElementClassProperty<element_type>::interpolation_type>;
using parent_element =
ElementClass<ElementClassProperty<element_type>::parent_element_type>;
public:
/// compute shape derivatives (input is dxds) for a set of points
static inline void
computeShapeDerivatives(const Matrix<Real> & natural_coord,
Tensor3<Real> & shape_deriv,
const Matrix<Real> & real_nodal_coord) {
UInt nb_points = natural_coord.cols();
for (UInt p = 0; p < nb_points; ++p) {
Matrix<Real> shape_deriv_p = shape_deriv(p);
interpolation_element::computeDNDS(natural_coord(p), shape_deriv_p,
real_nodal_coord);
}
}
/// compute jacobian (or integration variable change factor) for a given point
static inline void computeJacobian(const Matrix<Real> & natural_coords,
const Matrix<Real> & nodal_coords,
Vector<Real> & jacobians) {
parent_element::computeJacobian(natural_coords, nodal_coords, jacobians);
}
public:
static AKANTU_GET_MACRO_NOT_CONST(Kind, _ek_structural, ElementKind);
static AKANTU_GET_MACRO_NOT_CONST(P1ElementType, _not_defined, ElementType);
static AKANTU_GET_MACRO_NOT_CONST(FacetType, _not_defined, ElementType);
static ElementType getFacetType(__attribute__((unused)) UInt t = 0) {
return _not_defined;
}
static AKANTU_GET_MACRO_NOT_CONST(
SpatialDimension, ElementClassProperty<element_type>::spatial_dimension,
UInt);
static ElementType * getFacetTypeInternal() { return NULL; }
};
} // namespace akantu
#include "element_classes/element_class_bernoulli_beam_inline_impl.cc"
#include "element_classes/element_class_kirchhoff_shell_inline_impl.cc"
#endif /* __AKANTU_ELEMENT_CLASS_STRUCTURAL_HH__ */
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