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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: Tue Sep 29 2020
*
* @brief ShapeCohesive inline implementation
*
*
* @section LICENSE
*
* Copyright (©) 2010-2021 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,
Int spatial_dimension,
const ID & id)
: ShapeLagrangeBase(mesh, spatial_dimension, _ek_cohesive, id) {}
/* -------------------------------------------------------------------------- */
inline void ShapeLagrange<_ek_cohesive>::initShapeFunctions(
const Array<Real> & nodes, const Matrix<Real> & integration_points,
ElementType type, GhostType ghost_type) {
tuple_dispatch<ElementTypes_t<_ek_cohesive>>(
[&](auto && enum_type) {
constexpr ElementType type = aka::decay_v<decltype(enum_type)>;
this->setIntegrationPointsByType<type>(integration_points, ghost_type);
this->precomputeShapesOnIntegrationPoints<type>(nodes, ghost_type);
this->precomputeShapeDerivativesOnIntegrationPoints<type>(nodes,
ghost_type);
},
type);
}
/* -------------------------------------------------------------------------- */
template <ElementType type>
void ShapeLagrange<_ek_cohesive>::computeShapeDerivativesOnIntegrationPoints(
const Array<Real> &, const Matrix<Real> & integration_points,
Array<Real> & shape_derivatives, GhostType ghost_type,
const Array<Idx> & filter_elements) const {
AKANTU_DEBUG_IN();
auto size_of_shapesd = ElementClass<type>::getShapeDerivativesSize();
auto spatial_dimension = ElementClass<type>::getNaturalSpaceDimension();
auto nb_nodes_per_element =
ElementClass<type>::getNbNodesPerInterpolationElement();
auto nb_points = integration_points.cols();
auto 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);
auto * shapesd_val = shape_derivatives.data();
auto compute = [&](const auto & el) {
auto ptr = shapesd_val + el * nb_points * size_of_shapesd;
Tensor3Proxy<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 Ref<const MatrixXr> integration_points,
Array<Real> & shape_derivatives, ElementType type, GhostType ghost_type,
const Array<Idx> & filter_elements) const {
tuple_dispatch<ElementTypes_t<_ek_cohesive>>(
[&](auto && enum_type) {
constexpr ElementType type = aka::decay_v<decltype(enum_type)>;
this->computeShapeDerivativesOnIntegrationPoints<type>(
nodes, integration_points, shape_derivatives, ghost_type,
filter_elements);
},
type);
}
/* -------------------------------------------------------------------------- */
template <ElementType type>
void ShapeLagrange<_ek_cohesive>::precomputeShapesOnIntegrationPoints(
const Array<Real> & nodes, GhostType ghost_type) {
AKANTU_DEBUG_IN();
auto itp_type = ElementClassProperty<type>::interpolation_type;
auto & natural_coords = integration_points(type, ghost_type);
auto size_of_shapes = ElementClass<type>::getShapeSize();
auto & 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();
auto itp_type = ElementClassProperty<type>::interpolation_type;
auto & natural_coords = integration_points(type, ghost_type);
auto size_of_shapesd = ElementClass<type>::getShapeDerivativesSize();
auto & 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<Idx> & filter_elements) const {
AKANTU_DEBUG_IN();
auto nb_nodes_per_itp_element =
ElementClass<type>::getNbNodesPerInterpolationElement();
auto nb_degree_of_freedom = nodal_f.getNbComponent();
auto nb_element = this->mesh.getNbElement(type, ghost_type);
const auto & conn_array = this->mesh.getConnectivity(type, ghost_type);
auto conn = make_view(conn_array, conn_array.getNbComponent() / 2, 2).begin();
if (filter_elements != empty_filter) {
nb_element = filter_elements.size();
}
elemental_f.resize(nb_element);
auto u_it =
make_view(elemental_f, nb_degree_of_freedom, nb_nodes_per_itp_element)
.begin();
auto nodal_f_it = make_view(nodal_f, nb_degree_of_freedom).begin();
ReduceFunction reduce_function;
auto compute = [&](const auto & el) {
auto && u = *u_it;
auto && el_conn = conn[el];
// compute the average/difference of the nodal field loaded from cohesive
// element
for (Int n = 0; n < el_conn.rows(); ++n) {
auto node_plus = el_conn(n, 0);
auto node_minus = el_conn(n, 1);
u(n) = reduce_function(nodal_f_it[node_plus], nodal_f_it[node_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, Int nb_degree_of_freedom,
GhostType ghost_type, const Array<Idx> & filter_elements) const {
AKANTU_DEBUG_IN();
auto 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));
auto 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, Int nb_degree_of_freedom,
GhostType ghost_type, const Array<Idx> & 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));
auto 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<Idx> & filter_elements) const {
AKANTU_DEBUG_IN();
auto nb_element = this->mesh.getNbElement(type, ghost_type);
auto nb_points = this->integration_points(type, ghost_type).cols();
auto 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);
}
if (spatial_dimension == 3) {
for (auto && data :
zip(make_view<3>(normals_u), make_view<3, 2>(tangents_u))) {
auto && n = std::get<0>(data);
auto && ts = std::get<1>(data);
n = (ts(0).cross(ts(1))).normalized();
}
} else if (spatial_dimension == 2) {
for (auto && data :
zip(make_view<2>(normals_u), make_view<2>(tangents_u))) {
auto && n = std::get<0>(data);
auto && t = std::get<1>(data);
n(0) = -t(1);
n(1) = t(0);
n.normalize();
}
} 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);
Matrix<Real> barycenter(1, 2);
for (auto el : arange(nb_element)) {
if (filter_elements != empty_filter) {
el = filter_elements(el);
}
for (Int p = 0; p < 2; ++p) {
const Element & facet = facets(el, p);
const Element & segment = segments(facet.element)[0];
mesh.getBarycenter(segment, barycenter(p));
}
Real difference = barycenter(0, 0) - barycenter(0, 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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