Page Menu
Home
c4science
Search
Configure Global Search
Log In
Files
F73212812
resolution.cc
No One
Temporary
Actions
Download File
Edit File
Delete File
View Transforms
Subscribe
Mute Notifications
Award Token
Subscribers
None
File Metadata
Details
File Info
Storage
Attached
Created
Fri, Jul 19, 16:09
Size
9 KB
Mime Type
text/x-c
Expires
Sun, Jul 21, 16:09 (1 d, 23 h)
Engine
blob
Format
Raw Data
Handle
19162158
Attached To
rAKA akantu
resolution.cc
View Options
/**
* @file resolution.cc
*
* @author Mohit Pundir <mohit.pundir@epfl.ch>
*
* @date creation: Mon Jan 7 2019
* @date last modification: Mon Jan 7 2019
*
* @brief Implementation of common part of the contact resolution 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 "resolution.hh"
#include "contact_mechanics_model.hh"
/* -------------------------------------------------------------------------- */
namespace akantu {
/* -------------------------------------------------------------------------- */
Resolution::Resolution(ContactMechanicsModel & model, const ID & id)
: Memory(id, model.getMemoryID()), Parsable(ParserType::_contact_resolution, id),
fem(model.getFEEngine()),
name(""), model(model),
spatial_dimension(model.getMesh().getSpatialDimension()){
AKANTU_DEBUG_IN();
this->initialize();
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
Resolution::~Resolution() = default;
/* -------------------------------------------------------------------------- */
void Resolution::initialize() {
registerParam("name", name, std::string(), _pat_parsable | _pat_readable);
registerParam("mu", mu, Real(0.), _pat_parsable | _pat_modifiable,
"Friciton Coefficient");
}
/* -------------------------------------------------------------------------- */
void Resolution::printself(std::ostream & stream, int indent) const {
std::string space;
for (Int i = 0; i < indent; i++, space += AKANTU_INDENT)
;
std::string type = getID().substr(getID().find_last_of(':') + 1);
stream << space << "Contact Resolution " << type << " [" << std::endl;
Parsable::printself(stream, indent);
stream << space << "]" << std::endl;
}
/* -------------------------------------------------------------------------- */
void Resolution::assembleInternalForces(GhostType ghost_type) {
AKANTU_DEBUG_IN();
const Array<Int> & equation_array =
model.getDOFManager().getEquationsNumbers();
auto & internal_force =
const_cast<Array<Real> &>(model.getInternalForce());
auto & contact_map = model.getContactMap();
const auto slave_nodes = model.getMesh().getNodeGroup(name);
for (auto & slave: slave_nodes) {
auto & master = contact_map[slave].master;
auto & gap = contact_map[slave].gap;
auto & projection = contact_map[slave].projection;
UInt nb_nodes_master = Mesh::getNbNodesPerElement(master.type)
Vector<Real> shapes(nb_nodes_master);
fem.computeShapes(projection, master, master.type, shapes, ghost_type);
Matrix<Real> shapes_derivatives(spatial_dimension - 1, nb_nodes_master);
fem.computeShapeDerivatives(projection, master, master.type, shapes_derivatives, ghost_type);
const auto & connectivity = contact_map[slave].connectivity;
Vector<Real> elementary_force(connectivity.size() * spatial_dimension);
Array<Real> * tangents =
new Array<Real>(spatial_dimension - 1, spatial_dimension, "surface_tangents");
Array<Real> * global_coords =
new Array<Real>(nb_nodes_master, spatial_dimension);
computeCoordinates(master.type, *global_coords);
computeTangents(shapes_derivatives, *global_coords, *tangents);
Matrix<Real> surface_matrix(spatial_dimension - 1, spatial_dimension - 1);
computeSurfaceMatrix(*tangents, surface_matrix);
computeN(*n, shapes, normal);
computeNormalForce(elementary_force, *n, gap);
computeTalpha(*t_alpha, shapes, *tangents);
computeNalpha(*n_alpha, *shapes_derivatives, normal);
computeDalpha(*d_alpha, *n_alpha, *t_alpha, surface_matrix);
computeFrictionForce(elementary_force, *d_alpha, gap);
for (UInt i = 0; i < connectivity.size(); ++i) {
for (UInt j = 0; j < spatial_dimension; ++j) {
UInt offset_node = connectivity(i) * spatial_dimension + j;
auto & equation_num = equation_array(offset_node);
internal_force(equation_num) += elementary_force(i + j);
}
}
}
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
void Resolution::assembleStiffnessMatrix(GhostType ghost_type) {
AKANTU_DEBUG_IN();
const auto slave_nodes = model.getMesh().getNodeGroup(name);
auto & contact_map = model.getContactMap();
for (auto & slave: slave_nodes) {
auto & master = contact_map[slave].master;
auto & gap = contact_map[slave].gap;
auto & projection = contact_map[slave].projection;
Vector<Real> shapes(master.nb_nodes);
fem.computeShapes(projection, master, master.type, shapes, ghost_type);
Vector<Real> shapes_derivatives(master.nb_nodes * spatial_dimension);
fem.computeShapeDerivatives(projection, master, master.type, shapes_derivatives, ghost_type);
const auto & connectivity = contact_map[slave].connectivity;
Matrix<Real> elementary_stiffness(connectivity.size() * spatial_dimension,
connectivity.size() * spatial_dimension);
Array<Real> * tangents =
new Array<Real>(spatial_dimension - 1, spatial_dimension, "surface_tangents");
Array<Real> * global_coords =
new Array<Real>(nb_nodes_master, spatial_dimension);
computeCoordinates(master.type, *global_coords);
computeTangents(shapes_derivatives, *global_coords, *tangents);
Matrix<Real> surface_matrix(spatial_dimension - 1, spatial_dimension - 1);
computeSurfaceMatrix(*tangents, surface_matrix);
computeN( *n, shapes, normal);
computeTalpha(*t_alpha, shapes, *tangents);
computeNalpha(*n_alpha, *shapes_derivatives, normal);
computeDalpha(*d_alpha, *n_alpha, *t_alpha, surface_matrix);
computeTangentModuli(*n, *n_alpha, *t_alpha, *d_alpha, gap);
}
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
void Resolution::computeTangents(Matrix<Real> & shapes_derivatives, Array<Real> & global_coords,
Array<Real> & tangents) {
UInt i = 0;
for (auto && values : zip(make_view(tangents, spatial_dimension))) {
auto & tangent = std::get<0>(values);
for (UInt n : arange(global_coords.nb_components)) {
tangent += shapes_derivaties(n, i) * global_coords(n);
}
++i;
}
}
/* -------------------------------------------------------------------------- */
void Resolution::computeSurfaceMatrix(Array<Real> & tangents, Matrix<Real> & surface_matrix) {
for (UInt i : arange(spatial_dimension - 1)) {
for (UInt j : arange(spatial_dimension -1 )) {
surface_matrix(i, j) = tangents(i) * tangents(j);
}
}
inverse(surface_matrix);
}
/* -------------------------------------------------------------------------- */
void Resolution::computeN(Array<Real> & n, Vector<Real> & shapes, Vector<Real> & normal) {
UInt dim = normal.size();
for (UInt i = 0; i < dim; ++i) {
n[i] = normal[i] * tn;
for (UInt j = 0; j < shapes.size(); ++j) {
n[(1 + j) * dim + i] = -normal[i] * shapes[j];
}
}
}
/* -------------------------------------------------------------------------- */
void Resolution::computeTalpha(Array<Real> & t_alpha, Vector<Real> & shapes,
Array<Real> & tangents) {
for (auto && values:
zip(make_view(tangents, spatial_dimension),
make_view(t_alpha, t_alpha.size()))) {
auto & tangent = std::get<0>(values);
auto & t = std::get<1>(values);
for (UInt i : arange(spatial_dimension)) {
t[i] = -tangent[i];
for (UInt j : arange(shapes.size())) {
t[(1 + j)*spatial_dimension + i] = -shapes[j] * tangent[i];
}
}
}
}
/* -------------------------------------------------------------------------- */
void Resolution::computeNalpha(Array<Real> & n_alpha, Array<Real> & shapes_derivatives,
Vector<Real> & normal) {
for (auto && values:
zip(make_view(shapes_derivatives, shapes_derivatives.size(),
n_alpha, n_alpha.size()))) {
auto & shape_derivative = std::get<0>(values);
auto & n = std::get<1>(values);
for (UInt i : arange(spatial_dimension)) {
n[i] = 0;
for (UInt j : arange(shapes.size())) {
n[(1 + j)*spatial_dimension + i] = -shape_derivative[j]*normal[i];
}
}
}
}
/* -------------------------------------------------------------------------- */
void Resolution::computeDalpha(Array<Real> & d_alpha, Array<Real> & n_alpha,
Array<Real> & t_alpha, Matrix<Real> & surface_matrix, Real gap) {
}
/* -------------------------------------------------------------------------- */
void Resolution::computeCoordiantes(const Element & el, Array<Real> & coords) {
UInt nb_nodes_per_element = Mesh::getNbNodesPerElement(el.type);
Vector<UInt> connect = model.getMesh().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);
}
}
}
Event Timeline
Log In to Comment