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material_elastic.hh
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/**
* @file material_elastic.hh
*
* @author Lucas Frerot <lucas.frerot@epfl.ch>
* @author Daniel Pino Muñoz <daniel.pinomunoz@epfl.ch>
* @author Nicolas Richart <nicolas.richart@epfl.ch>
*
* @date creation: Fri Jun 18 2010
* @date last modification: Sun Nov 15 2015
*
* @brief Material isotropic elastic
*
* @section LICENSE
*
* Copyright (©) 2010-2012, 2014, 2015 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 "material_thermal.hh"
#include "plane_stress_toolbox.hh"
/* -------------------------------------------------------------------------- */
#ifndef __AKANTU_MATERIAL_ELASTIC_HH__
#define __AKANTU_MATERIAL_ELASTIC_HH__
namespace akantu {
/**
* Material elastic isotropic
*
* parameters in the material files :
* - E : Young's modulus (default: 0)
* - nu : Poisson's ratio (default: 1/2)
* - Plane_Stress : if 0: plane strain, else: plane stress (default: 0)
*/
template <UInt spatial_dimension>
class MaterialElastic
: public PlaneStressToolbox<spatial_dimension,
MaterialThermal<spatial_dimension>> {
/* ------------------------------------------------------------------------ */
/* Constructors/Destructors */
/* ------------------------------------------------------------------------ */
private:
typedef PlaneStressToolbox<spatial_dimension,
MaterialThermal<spatial_dimension>>
Parent;
public:
MaterialElastic(SolidMechanicsModel & model, const ID & id = "");
MaterialElastic(SolidMechanicsModel & model, UInt dim, const Mesh & mesh,
FEEngine & fe_engine, const ID & id = "");
~MaterialElastic() override = default;
protected:
void initialize();
/* ------------------------------------------------------------------------ */
/* Methods */
/* ------------------------------------------------------------------------ */
public:
void initMaterial() override;
/// constitutive law for all element of a type
void computeStress(ElementType el_type,
GhostType ghost_type = _not_ghost) override;
/// compute the tangent stiffness matrix for an element type
void computeTangentModuli(const ElementType & el_type,
Array<Real> & tangent_matrix,
GhostType ghost_type = _not_ghost) override;
/// compute the elastic potential energy
void computePotentialEnergy(ElementType el_type,
GhostType ghost_type = _not_ghost) override;
void
computePotentialEnergyByElement(ElementType type, UInt index,
Vector<Real> & epot_on_quad_points) override;
/// compute the p-wave speed in the material
Real getPushWaveSpeed(const Element & element) const override;
/// compute the s-wave speed in the material
Real getShearWaveSpeed(const Element & element) const override;
protected:
/// constitutive law for a given quadrature point
inline void computeStressOnQuad(const Matrix<Real> & grad_u,
Matrix<Real> & sigma,
const Real sigma_th = 0) const;
/// compute the tangent stiffness matrix for an element
inline void computeTangentModuliOnQuad(Matrix<Real> & tangent) const;
/// recompute the lame coefficient if E or nu changes
void updateInternalParameters() override;
static inline void computePotentialEnergyOnQuad(const Matrix<Real> & grad_u,
const Matrix<Real> & sigma,
Real & epot);
bool hasStiffnessMatrixChanged() override {
return (! was_stiffness_assembled);
}
/* ------------------------------------------------------------------------ */
/* Accessors */
/* ------------------------------------------------------------------------ */
public:
/// get first Lame constant
AKANTU_GET_MACRO(Lambda, lambda, Real);
/// get second Lame constant
AKANTU_GET_MACRO(Mu, mu, Real);
/// get bulk modulus
AKANTU_GET_MACRO(Kappa, kpa, Real);
/* ------------------------------------------------------------------------ */
/* Class Members */
/* ------------------------------------------------------------------------ */
protected:
/// First Lamé coefficient
Real lambda;
/// Second Lamé coefficient (shear modulus)
Real mu;
/// Bulk modulus
Real kpa;
/// defines if the stiffness was computed
bool was_stiffness_assembled;
};
} // akantu
#include "material_elastic_inline_impl.cc"
#endif /* __AKANTU_MATERIAL_ELASTIC_HH__ */

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