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material_elastic_linear_anisotropic.hh
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/**
* @file material_elastic_linear_anisotropic.hh
*
* @author Till Junge <till.junge@epfl.ch>
* @author Enrico Milanese <enrico.milanese@epfl.ch>
*
* @date creation: Fri Jun 18 2010
* @date last modification: Fri Feb 16 2018
*
* @brief Orthotropic elastic material
*
*
* 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 "material.hh"
#include "material_elastic.hh"
/* -------------------------------------------------------------------------- */
#include <vector>
/* -------------------------------------------------------------------------- */
#ifndef AKANTU_MATERIAL_ELASTIC_LINEAR_ANISOTROPIC_HH_
#define AKANTU_MATERIAL_ELASTIC_LINEAR_ANISOTROPIC_HH_
namespace akantu {
/**
* General linear anisotropic elastic material
* The only constraint on the elastic tensor is that it can be represented
* as a symmetric 6x6 matrix (3D) or 3x3 (2D).
*
* parameters in the material files :
* - rho : density (default: 0)
* - C_ij : entry on the stiffness
*/
template <UInt Dim> class MaterialElasticLinearAnisotropic : public Material {
/* ------------------------------------------------------------------------ */
/* Constructors/Destructors */
/* ------------------------------------------------------------------------ */
public:
MaterialElasticLinearAnisotropic(SolidMechanicsModel & model,
const ID & id = "", bool symmetric = true);
/* ------------------------------------------------------------------------ */
/* 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(ElementType el_type,
Array<Real> & tangent_matrix,
GhostType ghost_type = _not_ghost) override;
/// compute the elastic potential energy
void computePotentialEnergy(ElementType el_type) override;
void updateInternalParameters() override;
bool hasStiffnessMatrixChanged() override {
return (not was_stiffness_assembled);
}
MatrixType getTangentType() override {
return _symmetric;
}
protected:
// compute C from Cprime
void rotateCprime();
/// constitutive law for a given quadrature point
inline void computeStressOnQuad(const Matrix<Real> & grad_u,
Matrix<Real> & sigma) const;
/// tangent matrix for a given quadrature point
inline void computeTangentModuliOnQuad(Matrix<Real> & tangent) const;
inline void computePotentialEnergyOnQuad(const Matrix<Real> & grad_u,
const Matrix<Real> & sigma,
Real & epot);
/* ------------------------------------------------------------------------ */
/* Accessors */
/* ------------------------------------------------------------------------ */
public:
/// compute max wave celerity
Real getCelerity(const Element & element) const override;
AKANTU_GET_MACRO(VoigtStiffness, C, Matrix<Real>);
/* ------------------------------------------------------------------------ */
/* Class Members */
/* ------------------------------------------------------------------------ */
protected:
using voigt_h = VoigtHelper<Dim>;
/// direction matrix and vectors
std::vector<std::unique_ptr<Vector<Real>>> dir_vecs;
Matrix<Real> rot_mat;
/// Elastic stiffness tensor in material frame and full vectorised notation
Matrix<Real> Cprime;
/// Elastic stiffness tensor in voigt notation
Matrix<Real> C;
/// eigenvalues of stiffness tensor
Vector<Real> eigC;
bool symmetric;
/// viscous proportion
Real alpha;
/// defines if the stiffness was computed
bool was_stiffness_assembled;
};
} // namespace akantu
#include "material_elastic_linear_anisotropic_inline_impl.hh"
#endif /* AKANTU_MATERIAL_ELASTIC_LINEAR_ANISOTROPIC_HH_ */

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