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rAKA/src/model/contact_mechanics/contact_detector_inline_impl.cc
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contact_detector_inline_impl.cc
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/**
* @file contact_detection.hh
*
* @author Mohit Pundir <mohit.pundir@epfl.ch>
*
* @date creation: Mon Apr 29 2019
* @date last modification: Mon Apr 29 2019
*
* @brief inine implementation of the contact detector class
*
* @section LICENSE
*
* 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 "contact_detector.hh"
/* -------------------------------------------------------------------------- */
#ifndef __AKANTU_CONTACT_DETECTOR_INLINE_IMPL_CC__
#define __AKANTU_CONTACT_DETECTOR_INLINE_IMPL_CC__
namespace akantu {
/* -------------------------------------------------------------------------- */
inline bool ContactDetector::checkValidityOfProjection(Vector<Real> & projection) {
UInt nb_xi_inside = 0;
Real epsilon = 1e-3;
for (auto xi : projection) {
if (xi >= -1.0 - epsilon and xi <= 1.0 + epsilon)
nb_xi_inside++;
}
if (nb_xi_inside == projection.size())
return true;
return false;
}
/* -------------------------------------------------------------------------- */
inline void ContactDetector::coordinatesOfElement(const Element & el, Matrix<Real> & coords) {
UInt nb_nodes_per_element = Mesh::getNbNodesPerElement(el.type);
Vector<UInt> connect = mesh.getConnectivity(el.type, _not_ghost)
.begin(nb_nodes_per_element)[el.element];
for (UInt n = 0; n < nb_nodes_per_element; ++n) {
UInt node = connect[n];
for (UInt s: arange(spatial_dimension)) {
coords(s, n) = this->positions(node, s);
}
}
}
/* -------------------------------------------------------------------------- */
inline void ContactDetector::computeCellSpacing(Vector<Real> & spacing) {
for (UInt s: arange(spatial_dimension))
spacing(s) = std::sqrt(2.0) * max_dd;
}
/* -------------------------------------------------------------------------- */
inline void ContactDetector::constructBoundingBox(BBox & bbox, const Array<UInt> & nodes_list) {
auto to_bbox = [&](UInt node) {
Vector<Real> pos(spatial_dimension);
for (UInt s: arange(spatial_dimension)) {
pos(s) = this->positions(node, s);
}
bbox += pos;
};
std::for_each(nodes_list.begin(), nodes_list.end(), to_bbox);
auto & lower_bound = bbox.getLowerBounds();
auto & upper_bound = bbox.getUpperBounds();
for (UInt s: arange(spatial_dimension)) {
lower_bound(s) -= this->max_bb;
upper_bound(s) += this->max_bb;
}
AKANTU_DEBUG_INFO("BBox" << bbox);
}
/* -------------------------------------------------------------------------- */
inline void ContactDetector::constructGrid(SpatialGrid<UInt> & grid, BBox & bbox,
const Array<UInt> & nodes_list) {
auto to_grid = [&](UInt node) {
Vector<Real> pos(spatial_dimension);
for (UInt s: arange(spatial_dimension)) {
pos(s) = this->positions(node, s);
}
if (bbox.contains(pos)) {
grid.insert(node, pos);
}
};
std::for_each(nodes_list.begin(), nodes_list.end(), to_grid);
}
/* -------------------------------------------------------------------------- */
template<Surface id>
inline std::string ContactDetector::getSurfaceId() {
return surfaces[id];
}
/* -------------------------------------------------------------------------- */
template<Surface id>
inline void ContactDetector::setSurfaceId(const std::string name) {
surfaces[id] = name;
}
/* -------------------------------------------------------------------------- */
inline void ContactDetector::computeMaximalDetectionDistance() {
AKANTU_DEBUG_IN();
Real elem_size;
Real max_elem_size = std::numeric_limits<Real>::min();
auto & master_group =
mesh.getElementGroup(surfaces[Surface::master]);
for (auto type:
master_group.elementTypes(spatial_dimension - 1, _not_ghost, _ek_regular)) {
const auto & element_ids = master_group.getElements(type);
UInt nb_nodes_per_element = mesh.getNbNodesPerElement(type);
Element elem;
elem.type = type;
for (auto el : element_ids) {
elem.element = el;
Matrix<Real> elem_coords(spatial_dimension, nb_nodes_per_element);
this->coordinatesOfElement(elem, elem_coords);
elem_size = FEEngine::getElementInradius(elem_coords, type);
max_elem_size = std::max(max_elem_size, elem_size);
}
AKANTU_DEBUG_INFO("The maximum element size : "
<< max_elem_size );
}
this->max_dd = max_elem_size;
this->max_bb = max_elem_size;
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
inline Vector<UInt> ContactDetector::constructConnectivity(UInt & slave, const Element & master) {
Vector<UInt> master_conn = this->mesh.getConnectivity(master);
Vector<UInt> elem_conn(master_conn.size() + 1);
elem_conn[0] = slave;
for (UInt i = 1; i < elem_conn.size(); ++i) {
elem_conn[i] = master_conn[i-1];
}
return elem_conn;
}
/* -------------------------------------------------------------------------- */
inline void ContactDetector::computeNormalOnElement(const Element & element, Vector<Real> & normal) {
Matrix<Real> vectors(spatial_dimension, spatial_dimension - 1);
this->vectorsAlongElement(element, vectors);
switch (this->spatial_dimension) {
case 2: {
Math::normal2(vectors.storage(), normal.storage());
break;
}
case 3: {
Math::normal3(vectors(0).storage(), vectors(1).storage(), normal.storage());
break;
}
default: { AKANTU_ERROR("Unknown dimension : " << spatial_dimension); }
}
// to ensure that normal is always outwards from master surface
const auto & element_to_subelement =
mesh.getElementToSubelement(element.type)(element.element);
Vector<Real> outside(spatial_dimension);
mesh.getBarycenter(element, outside);
Vector<Real> inside(spatial_dimension);
mesh.getBarycenter(element_to_subelement[0], inside);
Vector<Real> inside_to_outside = outside - inside;
auto projection = inside_to_outside.dot(normal);
if (projection < 0) {
normal *= -1.0;
}
}
/* -------------------------------------------------------------------------- */
inline void ContactDetector::vectorsAlongElement(const Element & el, Matrix<Real> & vectors) {
UInt nb_nodes_per_element = Mesh::getNbNodesPerElement(el.type);
Matrix<Real> coords(spatial_dimension, nb_nodes_per_element);
this->coordinatesOfElement(el, coords);
switch (spatial_dimension) {
case 2: {
vectors(0) = Vector<Real>(coords(1)) - Vector<Real>(coords(0));
break;
}
case 3: {
vectors(0) = Vector<Real>(coords(1)) - Vector<Real>(coords(0));
vectors(1) = Vector<Real>(coords(2)) - Vector<Real>(coords(0));
break;
}
default: { AKANTU_ERROR("Unknown dimension : " << spatial_dimension); }
}
}
/* -------------------------------------------------------------------------- */
inline Real ContactDetector::computeGap(Vector<Real> & slave, Vector<Real> & master, Vector<Real> & normal) {
Vector<Real> slave_to_master(spatial_dimension);
slave_to_master = master - slave;
Real gap = slave_to_master.norm();
auto projection = slave_to_master.dot(normal);
// if slave node is beneath th master surface
if (projection > 0) {
gap *= -1.0;
}
return gap;
}
/* -------------------------------------------------------------------------- */
} //akantu
#endif /* __AKANTU_CONTACT_DETECTOR_INLINE_IMPL_CC__ */
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