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material_neohookean.hh
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/**
* @file material_neohookean.hh
*
* @author Daniel Pino Muñoz <daniel.pinomunoz@epfl.ch>
*
* @date creation: Fri Jun 18 2010
* @date last modification: Thu Feb 20 2020
*
* @brief Material isotropic elastic
*
*
* @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 "material.hh"
#include "plane_stress_toolbox.hh"
/* -------------------------------------------------------------------------- */
#ifndef AKANTU_MATERIAL_NEOHOOKEAN_HH_
#define AKANTU_MATERIAL_NEOHOOKEAN_HH_
namespace akantu {
/**
* Material elastic isotropic
*
* parameters in the material files :
* - rho : density (default: 0)
* - 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 MaterialNeohookean : public PlaneStressToolbox<spatial_dimension> {
/* ------------------------------------------------------------------------ */
/* Constructors/Destructors */
/* ------------------------------------------------------------------------ */
public:
MaterialNeohookean(SolidMechanicsModel & model, const ID & id = "");
~MaterialNeohookean() override = default;
/* ------------------------------------------------------------------------ */
/* Methods */
/* ------------------------------------------------------------------------ */
public:
/// initialize the material computed parameter
void initMaterial() override;
/// constitutive law for all element of a type
void computeStress(ElementType el_type,
GhostType ghost_type = _not_ghost) override;
/// Computation of the cauchy stress for plane strain materials
void
computeCauchyStressPlaneStress(ElementType el_type,
GhostType ghost_type = _not_ghost) override;
/// Non linear computation of the third direction strain in 2D plane stress
/// case
void computeThirdAxisDeformation(ElementType el_type,
GhostType ghost_type = _not_ghost) override;
/// compute the elastic potential energy
void computePotentialEnergy(ElementType el_type) override;
/// compute the tangent stiffness matrix for an element type
void computeTangentModuli(ElementType el_type, Array<Real> & tangent_matrix,
GhostType ghost_type = _not_ghost) 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;
MatrixType getTangentType() override { return _symmetric; }
protected:
/// constitutive law for a given quadrature point
inline void computePiolaKirchhoffOnQuad(const Matrix<Real> & E,
Matrix<Real> & S);
/// constitutive law for a given quadrature point (first piola)
inline void computeFirstPiolaKirchhoffOnQuad(const Matrix<Real> & grad_u,
const Matrix<Real> & S,
Matrix<Real> & P);
/// constitutive law for a given quadrature point
inline void computeDeltaStressOnQuad(const Matrix<Real> & grad_u,
const Matrix<Real> & grad_delta_u,
Matrix<Real> & delta_S);
/// constitutive law for a given quadrature point
inline void computeStressOnQuad(Matrix<Real> & grad_u, Matrix<Real> & S,
const Real & C33 = 1.0);
/// constitutive law for a given quadrature point
inline void computeThirdAxisDeformationOnQuad(Matrix<Real> & grad_u,
Real & c33_value);
/// constitutive law for a given quadrature point
// inline void updateStressOnQuad(const Matrix<Real> & sigma,
// Matrix<Real> & cauchy_sigma);
/// compute the potential energy for a quadrature point
inline void computePotentialEnergyOnQuad(const Matrix<Real> & grad_u,
Real & epot);
/// compute the tangent stiffness matrix for an element
void computeTangentModuliOnQuad(Matrix<Real> & tangent, Matrix<Real> & grad_u,
const Real & C33 = 1.0);
/// recompute the lame coefficient if E or nu changes
void updateInternalParameters() override;
/* ------------------------------------------------------------------------ */
/* Accessors */
/* ------------------------------------------------------------------------ */
public:
/* ------------------------------------------------------------------------ */
/* Class Members */
/* ------------------------------------------------------------------------ */
protected:
/// the young modulus
Real E;
/// Poisson coefficient
Real nu;
/// First Lamé coefficient
Real lambda;
/// Second Lamé coefficient (shear modulus)
Real mu;
/// Bulk modulus
Real kpa;
};
} // namespace akantu
/* -------------------------------------------------------------------------- */
/* inline functions */
/* -------------------------------------------------------------------------- */
#include "material_neohookean_inline_impl.hh"
#endif /* AKANTU_MATERIAL_NEOHOOKEAN_HH_ */

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