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rAKA/src/fe_engine/shape_cohesive_inline_impl.cc
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shape_cohesive_inline_impl.cc
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/**
* @file shape_cohesive_inline_impl.cc
*
* @author Nicolas Richart <nicolas.richart@epfl.ch>
* @author Marco Vocialta <marco.vocialta@epfl.ch>
*
* @date creation: Fri Feb 03 2012
* @date last modification: Thu Oct 15 2015
*
* @brief ShapeCohesive inline implementation
*
* @section LICENSE
*
* Copyright (©) 2010-2012, 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 "shape_cohesive.hh"
/* -------------------------------------------------------------------------- */
#ifndef __AKANTU_SHAPE_COHESIVE_INLINE_IMPL_CC__
#define __AKANTU_SHAPE_COHESIVE_INLINE_IMPL_CC__
namespace akantu {
/* -------------------------------------------------------------------------- */
inline ShapeLagrange<_ek_cohesive>::ShapeLagrange(const Mesh & mesh,
const ID & id,
const MemoryID & memory_id)
: ShapeLagrangeBase(mesh, _ek_cohesive, id, memory_id) {}
#define INIT_SHAPE_FUNCTIONS(type) \
setIntegrationPointsByType<type>(integration_points, ghost_type); \
precomputeShapesOnIntegrationPoints<type>(nodes, ghost_type); \
precomputeShapeDerivativesOnIntegrationPoints<type>(nodes, ghost_type);
/* -------------------------------------------------------------------------- */
inline void ShapeLagrange<_ek_cohesive>::initShapeFunctions(
const Array<Real> & nodes, const Matrix<Real> & integration_points,
const ElementType & type, const GhostType & ghost_type) {
AKANTU_BOOST_COHESIVE_ELEMENT_SWITCH(INIT_SHAPE_FUNCTIONS);
}
/* -------------------------------------------------------------------------- */
/* -------------------------------------------------------------------------- */
template <ElementType type>
void ShapeLagrange<_ek_cohesive>::computeShapeDerivativesOnIntegrationPoints(
const Array<Real> &, const Matrix<Real> & integration_points,
Array<Real> & shape_derivatives, const GhostType & ghost_type,
const Array<UInt> & filter_elements) const {
AKANTU_DEBUG_IN();
UInt spatial_dimension = mesh.getSpatialDimension();
UInt nb_nodes_per_element =
ElementClass<type>::getNbNodesPerInterpolationElement();
UInt nb_points = integration_points.cols();
UInt nb_element = mesh.getConnectivity(type, ghost_type).getSize();
UInt size_of_shapesd = ElementClass<type>::getShapeDerivativesSize();
AKANTU_DEBUG_ASSERT(shape_derivatives.getNbComponent() == size_of_shapesd,
"The shapes_derivatives array does not have the correct "
<< "number of component");
shape_derivatives.resize(nb_element * nb_points);
Real * shapesd_val = shape_derivatives.storage();
if (filter_elements == empty_filter)
nb_element = filter_elements.getSize();
for (UInt elem = 0; elem < nb_element; ++elem) {
Tensor3<Real> B(shapesd_val, spatial_dimension, nb_nodes_per_element,
nb_points);
ElementClass<type>::computeDNDS(integration_points, B);
if (filter_elements != empty_filter)
shapesd_val += size_of_shapesd * nb_points;
else {
shapesd_val = shape_derivatives.storage() +
filter_elements(elem) * size_of_shapesd * nb_points;
}
}
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
inline void
ShapeLagrange<_ek_cohesive>::computeShapeDerivativesOnIntegrationPoints(
const Array<Real> & nodes, const Matrix<Real> & integration_points,
Array<Real> & shape_derivatives, const ElementType & type,
const GhostType & ghost_type, const Array<UInt> & filter_elements) const {
#define AKANTU_COMPUTE_SHAPES(type) \
computeShapeDerivativesOnIntegrationPoints<type>( \
nodes, integration_points, shape_derivatives, ghost_type, \
filter_elements);
AKANTU_BOOST_COHESIVE_ELEMENT_SWITCH(AKANTU_COMPUTE_SHAPES);
#undef AKANTU_COMPUTE_SHAPES
}
/* -------------------------------------------------------------------------- */
template <ElementType type>
void ShapeLagrange<_ek_cohesive>::precomputeShapesOnIntegrationPoints(
const Array<Real> & nodes, GhostType ghost_type) {
AKANTU_DEBUG_IN();
InterpolationType itp_type = ElementClassProperty<type>::interpolation_type;
Matrix<Real> & natural_coords = integration_points(type, ghost_type);
UInt size_of_shapes = ElementClass<type>::getShapeSize();
Array<Real> & shapes_tmp =
shapes.alloc(0, size_of_shapes, itp_type, ghost_type);
this->computeShapesOnIntegrationPoints<type>(nodes, natural_coords,
shapes_tmp, ghost_type);
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
template <ElementType type>
void ShapeLagrange<_ek_cohesive>::precomputeShapeDerivativesOnIntegrationPoints(
const Array<Real> & nodes, GhostType ghost_type) {
AKANTU_DEBUG_IN();
InterpolationType itp_type = ElementClassProperty<type>::interpolation_type;
Matrix<Real> & natural_coords = integration_points(type, ghost_type);
UInt size_of_shapesd = ElementClass<type>::getShapeDerivativesSize();
Array<Real> & shapes_derivatives_tmp =
shapes_derivatives.alloc(0, size_of_shapesd, itp_type, ghost_type);
this->computeShapeDerivativesOnIntegrationPoints<type>(
nodes, natural_coords, shapes_derivatives_tmp, ghost_type);
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
template <ElementType type, class ReduceFunction>
void ShapeLagrange<_ek_cohesive>::extractNodalToElementField(
const Array<Real> & nodal_f, Array<Real> & elemental_f,
const GhostType & ghost_type, const Array<UInt> & filter_elements) const {
AKANTU_DEBUG_IN();
UInt nb_nodes_per_itp_element =
ElementClass<type>::getNbNodesPerInterpolationElement();
UInt nb_nodes_per_element = ElementClass<type>::getNbNodesPerElement();
UInt nb_degree_of_freedom = nodal_f.getNbComponent();
UInt nb_element = this->mesh.getNbElement(type, ghost_type);
UInt * conn_val = this->mesh.getConnectivity(type, ghost_type).storage();
if (filter_elements != empty_filter) {
nb_element = filter_elements.getSize();
}
elemental_f.resize(nb_element);
Array<Real>::matrix_iterator u_it =
elemental_f.begin(nb_degree_of_freedom, nb_nodes_per_itp_element);
UInt * el_conn;
ReduceFunction reduce_function;
for (UInt el = 0; el < nb_element; ++el, ++u_it) {
Matrix<Real> & u = *u_it;
if (filter_elements != empty_filter)
el_conn = conn_val + filter_elements(el) * nb_nodes_per_element;
else
el_conn = conn_val + el * nb_nodes_per_element;
// compute the average/difference of the nodal field loaded from cohesive
// element
for (UInt n = 0; n < nb_nodes_per_itp_element; ++n) {
UInt node_plus = *(el_conn + n);
UInt node_minus = *(el_conn + n + nb_nodes_per_itp_element);
for (UInt d = 0; d < nb_degree_of_freedom; ++d) {
Real u_plus = nodal_f(node_plus, d);
Real u_minus = nodal_f(node_minus, d);
u(d, n) = reduce_function(u_plus, u_minus);
}
}
}
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
template <ElementType type, class ReduceFunction>
void ShapeLagrange<_ek_cohesive>::interpolateOnIntegrationPoints(
const Array<Real> & in_u, Array<Real> & out_uq, UInt nb_degree_of_freedom,
GhostType ghost_type, const Array<UInt> & filter_elements) const {
AKANTU_DEBUG_IN();
InterpolationType itp_type = ElementClassProperty<type>::interpolation_type;
AKANTU_DEBUG_ASSERT(this->shapes.exists(itp_type, ghost_type),
"No shapes for the type "
<< this->shapes.printType(itp_type, ghost_type));
UInt nb_nodes_per_element =
ElementClass<type>::getNbNodesPerInterpolationElement();
Array<Real> u_el(0, nb_degree_of_freedom * nb_nodes_per_element);
this->extractNodalToElementField<type, ReduceFunction>(in_u, u_el, ghost_type,
filter_elements);
this->template interpolateElementalFieldOnIntegrationPoints<type>(
u_el, out_uq, ghost_type, shapes(itp_type, ghost_type), filter_elements);
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
template <ElementType type, class ReduceFunction>
void ShapeLagrange<_ek_cohesive>::variationOnIntegrationPoints(
const Array<Real> & in_u, Array<Real> & nablauq, UInt nb_degree_of_freedom,
GhostType ghost_type, const Array<UInt> & filter_elements) const {
AKANTU_DEBUG_IN();
InterpolationType itp_type = ElementClassProperty<type>::interpolation_type;
AKANTU_DEBUG_ASSERT(
this->shapes_derivatives.exists(itp_type, ghost_type),
"No shapes for the type "
<< this->shapes_derivatives.printType(itp_type, ghost_type));
UInt nb_nodes_per_element =
ElementClass<type>::getNbNodesPerInterpolationElement();
Array<Real> u_el(0, nb_degree_of_freedom * nb_nodes_per_element);
this->extractNodalToElementField<type, ReduceFunction>(in_u, u_el, ghost_type,
filter_elements);
this->template gradientElementalFieldOnIntegrationPoints<type>(
u_el, nablauq, ghost_type, shapes_derivatives(itp_type, ghost_type),
filter_elements);
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
template <ElementType type, class ReduceFunction>
void ShapeLagrange<_ek_cohesive>::computeNormalsOnIntegrationPoints(
const Array<Real> & u, Array<Real> & normals_u, GhostType ghost_type,
const Array<UInt> & filter_elements) const {
AKANTU_DEBUG_IN();
UInt nb_element = this->mesh.getNbElement(type, ghost_type);
UInt nb_points = this->integration_points(type, ghost_type).cols();
UInt spatial_dimension = this->mesh.getSpatialDimension();
if (filter_elements != empty_filter)
nb_element = filter_elements.getSize();
normals_u.resize(nb_points * nb_element);
Array<Real> tangents_u(nb_element * nb_points,
(spatial_dimension * (spatial_dimension - 1)));
this->template variationOnIntegrationPoints<type, ReduceFunction>(
u, tangents_u, spatial_dimension, ghost_type, filter_elements);
Array<Real>::vector_iterator normal = normals_u.begin(spatial_dimension);
Array<Real>::vector_iterator normal_end = normals_u.end(spatial_dimension);
Real * tangent = tangents_u.storage();
if (spatial_dimension == 3)
for (; normal != normal_end; ++normal) {
Math::vectorProduct3(tangent, tangent + spatial_dimension,
normal->storage());
(*normal) /= normal->norm();
tangent += spatial_dimension * 2;
}
else if (spatial_dimension == 2)
for (; normal != normal_end; ++normal) {
Vector<Real> a1(tangent, spatial_dimension);
(*normal)(0) = -a1(1);
(*normal)(1) = a1(0);
(*normal) /= normal->norm();
tangent += spatial_dimension;
}
AKANTU_DEBUG_OUT();
}
} // namespace akantu
#endif /* __AKANTU_SHAPE_COHESIVE_INLINE_IMPL_CC__ */
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