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structural_element_kirchhoff_shell.hh
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rAKA akantu
structural_element_kirchhoff_shell.hh
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/**
* @file structural_element_kirchhoff_shell.hh
*
* @author Fabian Barras <fabian.barras@epfl.ch>
* @author Lucas Frerot <lucas.frerot@epfl.ch>
* @author Sébastien Hartmann <sebastien.hartmann@epfl.ch>
* @author Nicolas Richart <nicolas.richart@epfl.ch>
* @author Damien Spielmann <damien.spielmann@epfl.ch>
*
* @date creation: Wed Oct 11 2017
* @date last modification: Fri Feb 05 2021
*
* @brief Specific functions for bernoulli kirchhoff shell
*
*
* @section LICENSE
*
* Copyright (©) 2016-2021 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/>.
*
*/
/* -------------------------------------------------------------------------- */
#ifndef AKANTU_STRUCTURAL_ELEMENT_BERNOULLI_KIRCHHOFF_SHELL_HH_
#define AKANTU_STRUCTURAL_ELEMENT_BERNOULLI_KIRCHHOFF_SHELL_HH_
#include "structural_mechanics_model.hh"
namespace
akantu
{
/* -------------------------------------------------------------------------- */
template
<>
void
StructuralMechanicsModel
::
computeTangentModuli
<
_discrete_kirchhoff_triangle_18
>
(
Array
<
Real
>
&
tangent_moduli
)
{
auto
tangent_size
=
ElementClass
<
_discrete_kirchhoff_triangle_18
>::
getNbStressComponents
();
auto
nb_quad
=
getFEEngine
().
getNbIntegrationPoints
(
_discrete_kirchhoff_triangle_18
);
auto
H_it
=
tangent_moduli
.
begin
(
tangent_size
,
tangent_size
);
for
(
UInt
mat
:
element_material
(
_discrete_kirchhoff_triangle_18
,
_not_ghost
))
{
auto
&
m
=
materials
[
mat
];
for
(
UInt
q
=
0
;
q
<
nb_quad
;
++
q
,
++
H_it
)
{
auto
&
H
=
*
H_it
;
H
.
zero
();
Matrix
<
Real
>
D
=
{{
1
,
m
.
nu
,
0
},
{
m
.
nu
,
1
,
0
},
{
0
,
0
,
(
1
-
m
.
nu
)
/
2
}};
D
*=
m
.
E
*
m
.
t
/
(
1
-
m
.
nu
*
m
.
nu
);
H
.
block
(
D
,
0
,
0
);
// in plane membrane behavior
H
.
block
(
D
*
Math
::
pow
<
3
>
(
m
.
t
)
/
12.
,
3
,
3
);
// bending behavior
}
}
}
}
// namespace akantu
#endif
/* AKANTU_STRUCTURAL_ELEMENT_BERNOULLI_DISCRETE_KIRCHHOFF_TRIANGLE_18_HH_ \
*/
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