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shape_cohesive_inline_impl.hh
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/**
* @file shape_cohesive_inline_impl.hh
*
* @author Nicolas Richart <nicolas.richart@epfl.ch>
* @author Marco Vocialta <marco.vocialta@epfl.ch>
*
* @date creation: Fri Feb 03 2012
* @date last modification: Mon Feb 19 2018
*
* @brief ShapeCohesive inline implementation
*
*
* 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 "mesh_iterators.hh"
#include "shape_cohesive.hh"
/* -------------------------------------------------------------------------- */
#ifndef AKANTU_SHAPE_COHESIVE_INLINE_IMPL_HH_
#define AKANTU_SHAPE_COHESIVE_INLINE_IMPL_HH_
namespace akantu {
/* -------------------------------------------------------------------------- */
inline ShapeLagrange<_ek_cohesive>::ShapeLagrange(const Mesh & mesh,
UInt spatial_dimension,
const ID & id)
: ShapeLagrangeBase(mesh, spatial_dimension, _ek_cohesive, 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,
ElementType type, GhostType ghost_type) {
AKANTU_BOOST_COHESIVE_ELEMENT_SWITCH(INIT_SHAPE_FUNCTIONS);
}
/* -------------------------------------------------------------------------- */
/* -------------------------------------------------------------------------- */
template <ElementType type>
void ShapeLagrange<_ek_cohesive>::computeShapeDerivativesOnIntegrationPoints(
const Array<Real> & /*unused*/, const Matrix<Real> & integration_points,
Array<Real> & shape_derivatives, GhostType ghost_type,
const Array<UInt> & filter_elements) const {
AKANTU_DEBUG_IN();
UInt size_of_shapesd = ElementClass<type>::getShapeDerivativesSize();
UInt spatial_dimension = ElementClass<type>::getNaturalSpaceDimension();
UInt nb_nodes_per_element =
ElementClass<type>::getNbNodesPerInterpolationElement();
UInt nb_points = integration_points.cols();
UInt nb_element = mesh.getConnectivity(type, ghost_type).size();
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();
auto compute = [&](const auto & el) {
auto ptr = shapesd_val + el * nb_points * size_of_shapesd;
Tensor3<Real> B(ptr, spatial_dimension, nb_nodes_per_element, nb_points);
ElementClass<type>::computeDNDS(integration_points, B);
};
for_each_element(nb_element, filter_elements, compute);
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
inline void
ShapeLagrange<_ek_cohesive>::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 {
#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,
GhostType ghost_type, const Array<UInt> & filter_elements) const {
AKANTU_DEBUG_IN();
UInt nb_nodes_per_itp_element =
ElementClass<type>::getNbNodesPerInterpolationElement();
UInt nb_degree_of_freedom = nodal_f.getNbComponent();
UInt nb_element = this->mesh.getNbElement(type, ghost_type);
const auto & conn_array = this->mesh.getConnectivity(type, ghost_type);
auto conn = conn_array.begin(conn_array.getNbComponent() / 2, 2);
if (filter_elements != empty_filter) {
nb_element = filter_elements.size();
}
elemental_f.resize(nb_element);
Array<Real>::matrix_iterator u_it =
elemental_f.begin(nb_degree_of_freedom, nb_nodes_per_itp_element);
ReduceFunction reduce_function;
auto compute = [&](const auto & el) {
Matrix<Real> & u = *u_it;
Matrix<UInt> el_conn(conn[el]);
// compute the average/difference of the nodal field loaded from cohesive
// element
for (UInt n = 0; n < el_conn.rows(); ++n) {
UInt node_plus = el_conn(n, 0);
UInt node_minus = el_conn(n, 1);
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);
}
}
++u_it;
};
for_each_element(nb_element, filter_elements, compute);
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.size();
}
normals_u.resize(nb_points * nb_element);
Array<Real> tangents_u(0, (spatial_dimension * (spatial_dimension - 1)));
if (spatial_dimension > 1) {
tangents_u.resize(nb_element * nb_points);
this->template variationOnIntegrationPoints<type, ReduceFunction>(
u, tangents_u, spatial_dimension, ghost_type, filter_elements);
}
Real * tangent = tangents_u.storage();
if (spatial_dimension == 3) {
for (auto & normal : make_view(normals_u, spatial_dimension)) {
Math::vectorProduct3(tangent, tangent + spatial_dimension,
normal.storage());
normal /= normal.norm();
tangent += spatial_dimension * 2;
}
} else if (spatial_dimension == 2) {
for (auto & normal : make_view(normals_u, spatial_dimension)) {
Vector<Real> a1(tangent, spatial_dimension);
normal(0) = -a1(1);
normal(1) = a1(0);
normal.normalize();
tangent += spatial_dimension;
}
} else if (spatial_dimension == 1) {
const auto facet_type = Mesh::getFacetType(type);
const auto & mesh_facets = mesh.getMeshFacets();
const auto & facets = mesh_facets.getSubelementToElement(type, ghost_type);
const auto & segments =
mesh_facets.getElementToSubelement(facet_type, ghost_type);
Real values[2];
for (auto el : arange(nb_element)) {
if (filter_elements != empty_filter) {
el = filter_elements(el);
}
for (UInt p = 0; p < 2; ++p) {
Element facet = facets(el, p);
Element segment = segments(facet.element)[0];
Vector<Real> barycenter(values + p, 1);
mesh.getBarycenter(segment, barycenter);
}
Real difference = values[0] - values[1];
AKANTU_DEBUG_ASSERT(difference != 0.,
"Error in normal computation for cohesive elements");
normals_u(el) = difference / std::abs(difference);
}
}
AKANTU_DEBUG_OUT();
}
} // namespace akantu
#endif /* AKANTU_SHAPE_COHESIVE_INLINE_IMPL_HH_ */

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