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resolution_penalty.hh
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/**
* @file resolution_penalty.hh
*
* @author Mohit Pundir <mohit.pundir@epfl.ch>
*
* @date creation: Fri Jun 18 2010
* @date last modification: Wed Jun 09 2021
*
* @brief Linear Penalty Resolution for Contact Mechanics Model
*
*
* @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 "aka_common.hh"
#include "resolution.hh"
/* -------------------------------------------------------------------------- */
#ifndef __AKANTU_RESOLUTION_PENALTY_HH__
#define __AKANTU_RESOLUTION_PENALTY_HH__
namespace akantu {
class ResolutionPenalty : public Resolution {
/* ------------------------------------------------------------------------ */
/* Constructors/Destructors */
/* ------------------------------------------------------------------------ */
public:
ResolutionPenalty(ContactMechanicsModel & model, const ID & id = "");
~ResolutionPenalty() override = default;
/* ------------------------------------------------------------------------ */
/* Methods */
/* ------------------------------------------------------------------------ */
protected:
/// initialize the resolution
void initialize();
/* ------------------------------------------------------------------------ */
/* Methods for stiffness computation */
/* ------------------------------------------------------------------------ */
protected:
/// local computaion of stiffness matrix due to stick state
void computeStickModuli(const ContactElement & element,
Matrix<Real> & stiffness);
/// local computation of stiffness matrix due to slip state
void computeSlipModuli(const ContactElement & element,
Matrix<Real> & stiffness);
public:
/// local computation of tangent moduli due to normal traction
void computeNormalModuli(const ContactElement & element,
Matrix<Real> & stiffness) override;
/// local computation of tangent moduli due to tangential traction
void computeTangentialModuli(const ContactElement & element,
Matrix<Real> & stiffness) override;
/* ------------------------------------------------------------------------ */
/* Methods for force computation */
/* ------------------------------------------------------------------------ */
public:
/// local computation of normal force due to normal contact
void computeNormalForce(const ContactElement & element,
Vector<Real> & force) override;
/// local computation of tangential force due to frictional traction
void computeTangentialForce(const ContactElement & element,
Vector<Real> & force) override;
protected:
/// local computation of normal traction due to penetration
virtual Real computeNormalTraction(const Real & gap) const;
/// local computation of trial tangential traction due to friction
template <typename D>
void computeTrialTangentialTraction(const ContactElement & element,
const Matrix<Real> & covariant_basis,
Eigen::MatrixBase<D> & traction);
/// local computation of tangential traction due to stick
template <typename D1, typename D2>
void
computeStickTangentialTraction(const ContactElement & unused,
Eigen::MatrixBase<D1> & traction_trial,
Eigen::MatrixBase<D2> & traction_tangential);
/// local computation of tangential traction due to slip
template <typename D1, typename D2>
void
computeSlipTangentialTraction(const ContactElement & element,
const Matrix<Real> & covariant_basis,
Eigen::MatrixBase<D1> & traction_trial,
Eigen::MatrixBase<D2> & traction_tangential);
/// local computation of tangential traction due to friction
template <typename D>
void computeTangentialTraction(const ContactElement & element,
const Matrix<Real> & covariant_basis,
Eigen::MatrixBase<D> & traction_tangential);
public:
void beforeSolveStep() override;
void afterSolveStep(bool converged = true) override;
/* ------------------------------------------------------------------------ */
/* Class Members */
/* ------------------------------------------------------------------------ */
protected:
/// penalty parameter for normal traction
Real epsilon_n;
/// penalty parameter for tangential traction
Real epsilon_t;
};
} // namespace akantu
#endif /* __AKANTU_RESOLUTION_PENALTY_HH__ */

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