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material_elastic_linear_anisotropic.hh
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rAKA akantu
material_elastic_linear_anisotropic.hh
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/**
* @file material_elastic_linear_anisotropic.hh
*
* @author Till Junge <till.junge@epfl.ch>
*
* @date creation: Wed Sep 25 2013
* @date last modification: Fri Sep 19 2014
*
* @brief Orthotropic elastic material
*
* @section LICENSE
*
* Copyright (©) 2014 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__
__BEGIN_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
virtual
Material
{
/* ------------------------------------------------------------------------ */
/* Constructors/Destructors */
/* ------------------------------------------------------------------------ */
public
:
MaterialElasticLinearAnisotropic
(
SolidMechanicsModel
&
model
,
const
ID
&
id
=
""
,
bool
symmetric
=
true
);
~
MaterialElasticLinearAnisotropic
();
/* ------------------------------------------------------------------------ */
/* Methods */
/* ------------------------------------------------------------------------ */
public
:
virtual
void
initMaterial
();
/// constitutive law for all element of a type
virtual
void
computeStress
(
ElementType
el_type
,
GhostType
ghost_type
=
_not_ghost
);
/// compute the tangent stiffness matrix for an element type
void
computeTangentModuli
(
const
ElementType
&
el_type
,
Array
<
Real
>
&
tangent_matrix
,
GhostType
ghost_type
=
_not_ghost
);
virtual
void
updateInternalParameters
();
protected
:
// compute C from Cprime
void
rotateCprime
();
/* ------------------------------------------------------------------------ */
/* Accessors */
/* ------------------------------------------------------------------------ */
public
:
/// compute max wave celerity
virtual
Real
getCelerity
(
const
Element
&
element
)
const
;
/* ------------------------------------------------------------------------ */
/* Class Members */
/* ------------------------------------------------------------------------ */
protected
:
const
static
VoigtHelper
<
Dim
>
voigt_h
;
/// direction matrix and vectors
std
::
vector
<
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
;
};
__END_AKANTU__
#endif
/* __AKANTU_MATERIAL_ELASTIC_LINEAR_ANISOTROPIC_HH__ */
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