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structural_element_bernoulli_beam_2.hh
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rAKA akantu
structural_element_bernoulli_beam_2.hh
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/**
* @file structural_element_bernoulli_beam_2.hh
*
* @author Fabian Barras <fabian.barras@epfl.ch>
* @author Sébastien Hartmann <sebastien.hartmann@epfl.ch>
* @author Nicolas Richart <nicolas.richart@epfl.ch>
*
* @date creation Tue Sep 19 2017
*
* @brief Specific functions for bernoulli beam 2d
*
* @section LICENSE
*
* Copyright (©) 2010-2011 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 "structural_mechanics_model.hh"
/* -------------------------------------------------------------------------- */
#ifndef __AKANTU_STRUCTURAL_ELEMENT_BERNOULLI_BEAM_2_HH__
#define __AKANTU_STRUCTURAL_ELEMENT_BERNOULLI_BEAM_2_HH__
namespace
akantu
{
/* -------------------------------------------------------------------------- */
template
<>
inline
void
StructuralMechanicsModel
::
assembleMass
<
_bernoulli_beam_2
>
()
{
AKANTU_DEBUG_IN
();
const
ElementType
type
=
_bernoulli_beam_2
;
auto
&
fem
=
getFEEngineClass
<
MyFEEngineType
>
();
auto
nb_element
=
mesh
.
getNbElement
(
type
);
auto
nb_nodes_per_element
=
mesh
.
getNbNodesPerElement
(
type
);
auto
nb_quadrature_points
=
fem
.
getNbIntegrationPoints
(
type
);
auto
nb_fields_to_interpolate
=
ElementClass
<
type
>::
getVoigtSize
();
auto
nt_n_field_size
=
nb_degree_of_freedom
*
nb_nodes_per_element
;
Array
<
Real
>
n
(
nb_element
*
nb_quadrature_points
,
nb_fields_to_interpolate
*
nt_n_field_size
,
"N"
);
const
auto
&
N_star
=
fem
.
getShapes
(
type
);
// for
Array
<
Real
>
*
rho_field
=
new
Array
<
Real
>
(
nb_element
*
nb_quadrature_points
,
1
,
"Rho"
);
rho_field
->
clear
();
computeRho
(
*
rho_field
,
type
,
_not_ghost
);
bool
sign
=
true
;
for
(
auto
ghost_type
:
ghost_types
)
{
// fem.computeShapesMatrix(type, nb_degree_of_freedom, nb_nodes_per_element,
// n,
// 0, 0, 0, sign, ghost_type); // Ni ui -> u
// fem.computeShapesMatrix(type, nb_degree_of_freedom, nb_nodes_per_element,
// n,
// 1, 1, 1, sign, ghost_type); // Mi vi -> v
// fem.computeShapesMatrix(type, nb_degree_of_freedom, nb_nodes_per_element,
// n,
// 2, 2, 1, sign, ghost_type); // Li Theta_i -> v
// fem.assembleFieldMatrix(*rho_field, nb_degree_of_freedom, *mass_matrix,
// n,
// rotation_matrix, type, ghost_type);
}
// delete n;
delete
rho_field
;
AKANTU_DEBUG_OUT
();
}
/* -------------------------------------------------------------------------- */
template
<>
void
StructuralMechanicsModel
::
computeRotationMatrix
<
_bernoulli_beam_2
>
(
Array
<
Real
>
&
rotations
)
{
auto
type
=
_bernoulli_beam_2
;
auto
nb_element
=
mesh
.
getNbElement
(
type
);
auto
connec_it
=
mesh
.
getConnectivity
(
type
).
begin
(
2
);
auto
nodes_it
=
mesh
.
getNodes
().
begin
(
spatial_dimension
);
auto
R_it
=
rotations
.
begin
(
nb_degree_of_freedom
,
nb_degree_of_freedom
);
for
(
UInt
e
=
0
;
e
<
nb_element
;
++
e
,
++
R_it
,
++
connec_it
)
{
auto
&
R
=
*
R_it
;
auto
&
connec
=
*
connec_it
;
Vector
<
Real
>
x2
=
nodes_it
[
connec
(
1
)];
// X2
Vector
<
Real
>
x1
=
nodes_it
[
connec
(
0
)];
// X1
auto
le
=
x1
.
distance
(
x2
);
auto
c
=
(
x2
(
0
)
-
x1
(
0
))
/
le
;
auto
s
=
(
x2
(
1
)
-
x1
(
1
))
/
le
;
/// Definition of the rotation matrix
R
=
{{
c
,
s
,
0.
},
{
-
s
,
c
,
0.
},
{
0.
,
0.
,
1.
}};
}
}
/* -------------------------------------------------------------------------- */
template
<>
void
StructuralMechanicsModel
::
computeTangentModuli
<
_bernoulli_beam_2
>
(
Array
<
Real
>
&
tangent_moduli
)
{
auto
nb_element
=
getFEEngine
().
getMesh
().
getNbElement
(
_bernoulli_beam_2
);
auto
nb_quadrature_points
=
getFEEngine
().
getNbIntegrationPoints
(
_bernoulli_beam_2
);
auto
tangent_size
=
2
;
auto
D_it
=
tangent_moduli
.
begin
(
tangent_size
,
tangent_size
);
auto
el_mat
=
element_material
(
_bernoulli_beam_2
,
_not_ghost
).
begin
();
for
(
auto
&
mat
:
element_material
(
_bernoulli_beam_2
,
_not_ghost
))
{
auto
E
=
materials
[
mat
].
E
;
auto
A
=
materials
[
mat
].
A
;
auto
I
=
materials
[
mat
].
I
;
for
(
UInt
q
=
0
;
q
<
nb_quadrature_points
;
++
q
,
++
D_it
)
{
auto
&
D
=
*
D_it
;
D
(
0
,
0
)
=
E
*
A
;
D
(
1
,
1
)
=
E
*
I
;
}
}
}
}
// namespace akantu
#endif
/* __AKANTU_STRUCTURAL_ELEMENT_BERNOULLI_BEAM_2_HH__ */
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