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material_hyper_elastic.hh
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/**
* file material_hyper_elastic.hh
*
* @author Till Junge <till.junge@epfl.ch>
*
* @date 01 May 2017
*
* @brief Hyperelastic material law as used in Section 4 of
* de Geus et al. / Comput. Methods in Appl. Mech. Engrg.
* 318, (2017), 412–430 https://doi.org/10.1016/j.cma.2016.12.032
*
* @section LICENCE
*
* Copyright (C) 2017 Till Junge
*
* µSpectre is free software; you can redistribute it and/or
* modify it under the terms of the GNU General Public License as
* published by the Free Software Foundation, either version 3, or (at
* your option) any later version.
*
* µSpectre 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
* General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with GNU Emacs; see the file COPYING. If not, write to the
* Free Software Foundation, Inc., 59 Temple Place - Suite 330,
* Boston, MA 02111-1307, USA.
*/
#include "material.hh"
#include <unsupported/Eigen/CXX11/Tensor>
#include <Eigen/Dense>
#include "materials/materials_toolbox.hh"
#ifndef MATERIAL_HYPER_ELASTIC_H
#define MATERIAL_HYPER_ELASTIC_H
namespace muSpectre {
template<Dim_t DimS, Dim_t DimM>
class MaterialHyperElastic:
public MaterialBase<DimS, DimM> {
public:
using parent = MaterialBase<DimS, DimM>;
using SecondArray = typename parent::SecondArray;
using FourthArray = typename parent::FourthArray;
using SecondArrayMap = typename parent::SecondArrayMap;
using FourthArrayMap = typename parent::FourthArrayMap;
using VoigtConv = typename parent::VoigtConv;
using SecondTens = typename parent::SecondTens;
using SecondMap = typename parent::SecondMap;
using FourthMap = typename parent::FourthMap;
using FourthTens = typename parent::FourthTens;
//! Default constructor
MaterialHyperElastic(std::string name, Real Young, Real Poisson);
void initialize() override final;
void compute_First_Piola_Kirchhoff_stress(const SecondArrayMap & F,
SecondArrayMap & P,
FourthArrayMap & K) override final;
private:
const static bool sym = false;
protected:
Real Young;
Real Poisson;
Real lambda;
Real mu;
Tensors::Tens4_t<DimM> C;
//! Gradient, asymmetric Voigt
Eigen::Tensor<Real, 3> gradF;
//! second Piola-Kirchhoff stresses
Eigen::Tensor<Real, 3> stressS;
//! first Piola-Kirchhoff stresses
Eigen::Tensor<Real, 3> stressP;
//! Stiffness tensors
Eigen::Tensor<Real, 5> stiffnessK;
};
} // muSpectre
#endif /* MATERIAL_HYPER_ELASTIC_H */

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