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resolution_augmented_lagrangian.hh
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/**
* @file resolution_augmented_lagrangian.hh
*
* @author Alejandro M. Aragón <alejandro.aragon@epfl.ch>
*
* @date creation: Mon Sep 15 2014
* @date last modification: Mon Sep 15 2014
*
* @brief contact resolution classes
*
* @section LICENSE
*
* Copyright (©) 2014 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/>.
*
*/
/* -------------------------------------------------------------------------- */
#ifndef __AKANTU_RESOLUTION_AUGMENTED_LAGRANGIAN_HH__
#define __AKANTU_RESOLUTION_AUGMENTED_LAGRANGIAN_HH__
#include <map>
#include "search.hh"
#include "aka_common.hh"
#include "contact_common.hh"
#include "aka_array.hh"
#include "dumpable_inline_impl.hh"
//#include "dumper_iohelper_tmpl.hh"
#include "solid_mechanics_model_element.hh"
#include "aka_optimize.hh"
#include "parsable.hh"
#define __LOC__ \
std::cout << "File " << __FILE__ << ", line " << __LINE__ << std::endl;
__BEGIN_AKANTU__
template <int Dim>
class ContactResolution<Dim, _static,
_augmented_lagrangian> : public ContactParameters,
public Parsable {
typedef SolidMechanicsModel model_type;
typedef ModelElement<model_type> element_type;
typedef std::map<UInt, element_type> slave_master_map;
typedef std::map<UInt, Real> real_map;
typedef typename real_map::iterator real_iterator;
typedef std::map<UInt, Real> gap_map;
typedef Point<Dim> point_type;
typedef array::Array<1, Real> vector_type;
typedef array::Array<2, Real> matrix_type;
model_type &model_;
slave_master_map sm_;
real_map areas_, gaps_;
real_map multipliers_, penalty_;
size_t uiter_, niter_;
Array<Real> multiplier_dumper_, pressure_dumper_;
std::map<UInt, bool> contact_status_;
std::map<UInt, int> status_change_;
protected:
//! Initialize function that's called after the derived Contact's constructor
virtual void initialize();
public:
//! Parameter constructor
ContactResolution(model_type &m);
//! Add slave
void addSlave(UInt s) { sm_[s] = element_type(); }
//! Add slave-master pair
void addPair(UInt s, element_type el) { sm_[s] = el; }
//! Add area to a slave node
void addArea(UInt n, Real a) {
if (a != 0.)
areas_[n] = a;
}
//! Implementation of the contact step
template <ContactImplementationMethod i>
void solveContactStep(SearchBase *sp) {
solveContactStepImpl(sp, Int2Type<i>());
}
//! Get contact force (sum of Lagrange multipliers)
Real getForce() {
Real f = 0.;
for (auto v : multipliers_)
f += v.second;
return f;
}
//! Get maximum value of contact pressure
Real getMaxPressure() {
Real p = 0.;
for (auto v : multipliers_) {
auto slave = v.first;
auto it = areas_.find(slave);
if (it != areas_.end())
p = std::max(p, v.second / it->second); // max(p, lambda/area)
}
return p;
}
private:
//! Compute penalty parameter values for each slave node automatically
void getPenaltyValues();
//! Add stiffness matrix and force vector contributions due to contact
bool computeTangentAndResidual(real_map &lambda_new, SearchBase *cp,
Real &error, Int2Type<_uzawa>);
bool computeTangentAndResidual(Array<Real> &solution, Array<Real> &rhs,
SearchBase *cp, Real &error,
Int2Type<_generalized_newton>);
//! Implementation of the contact step using Uzawa's method
void solveContactStepImpl(SearchBase *sp, Int2Type<_uzawa>);
//! Implementation of the contact step using Uzawa's method
void solveContactStepImpl(SearchBase *sp, Int2Type<_generalized_newton>);
protected:
//! Dump of Paraview files including contact information
void dump();
//! Provide standard output of resolution object
template <int D>
friend std::ostream &operator<<(
std::ostream &os,
const ContactResolution<D, _static, _augmented_lagrangian> &);
};
__END_AKANTU__
#endif /* __AKANTU_RESOLUTION_AUGMENTED_LAGRANGIAN_HH__ */

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