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rAKA/src/model/contact_mechanics/resolution_utils.hh
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resolution_utils.hh
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/**
* @file resolution_utils.hh
*
* @author Mohit Pundir <mohit.pundir@epfl.ch>
*
* @date creation: Mon May 20 2019
* @date last modification: Mon May 20 2019
*
* @brief All resolution utils necessary for various tasks
*
* @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 "aka_common.hh"
#include "contact_mechanics_model.hh"
#include "contact_element.hh"
#include "fe_engine.hh"
/* -------------------------------------------------------------------------- */
#ifndef __AKANTU_RESOLUTION_UTILS_HH__
#define __AKANTU_RESOLUTION_UTILS_HH__
/* -------------------------------------------------------------------------- */
namespace akantu {
class ResolutionUtils {
/* ------------------------------------------------------------------------ */
/* Methods */
/* ------------------------------------------------------------------------ */
public:
/// computes the first covariant metric tensor (@f$A_{\alpha\beta}@f$) where @f$\alpha,
/// \beta@f$ are surface directions
static void computeMetricTensor(Matrix<Real> & metric_tensor,
const Matrix<Real> & tangents);
/// computes the second covariant metric tensor
/// (@f$H_{\alpha\beta}@f$)
static void computeSecondMetricTensor(const ContactElement &, const Matrix<Real> &,
const Vector<Real> &, Matrix<Real> &);
/// computes the first variation of normal gap
static void firstVariationNormalGap(const ContactElement & , const Vector<Real> &,
const Vector<Real> &, Vector<Real> &);
/// computes the seond variation of normal gap
static void secondVariationNormalGap(const ContactElement & , const Matrix<Real> & ,
const Matrix<Real> &, const Vector<Real> &,
const Vector<Real> &, Real &,
Matrix<Real> & );
/// computes (@f$N_{\alpha}@f$) where \alpha is surface dimension
/// and it is shape derivatives times normal
static void computeNalpha(const ContactElement & , const Vector<Real> &,
const Vector<Real> &, Array<Real> & );
/// computes (@f$T_{\alpha}@f$) where @f$\alpha@f$ is surface
/// dimension and it is shape functions times the tangents
static void computeTalpha(const ContactElement &, const Matrix<Real> &,
const Vector<Real> &, Array<Real> & );
/// computes (@f$\nabla \xi_{\alpha}@f$) where @f$\alpha@f$ is surface
/// dimension
static void firstVariationNaturalCoordinate(const ContactElement &, const Matrix<Real> &,
const Vector<Real> &, const Vector<Real> &,
const Real &, Array<Real> &);
///computes second variation of surface parameter
static void secondvariationNaturalCoordinate();
/// computes @f$T_{\alpha\beta} @f$ which is shape derivatives
/// times the tangents
static void computeTalphabeta(Array<Real> & t_alpha_beta,
ContactElement & element);
/// computes @f$N_{\alpha\beta} @f$ which is shape 2nd derivatives times
/// the normal
static void computeNalphabeta(Array<Real> & n_alpha_beta,
ContactElement & element);
/// computes @f$P_{\alpha} @f$
static void computePalpha(Array<Real> & p_alpha, ContactElement & element);
/// computes @f$G_{\alpha}@f$
static void computeGalpha(Array<Real> & g_alpha, Array<Real> & t_alpha_beta,
Array<Real> & d_alpha, Matrix<Real> & phi,
ContactElement &);
static void assembleToInternalForce(Vector<Real> & local_array,
Array<Real> & global_array,
Array<Real> & nodal_area,
ContactElement & element, bool is_master_deformable);
static void assembleToStiffnessMatrix(Matrix<Real> & local_matrix,
Matrix<Real> & global_matrix,
Array<Real> & nodal_area,
ContactElement & element);
/* ------------------------------------------------------------------------ */
/* Accessors */
/* ------------------------------------------------------------------------ */
public:
/* ------------------------------------------------------------------------ */
/* Class members */
/* ------------------------------------------------------------------------ */
private:
};
} // namespace akantu
#endif /* __AKANTU_RESOLUTION_UTILS_HH__ */
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