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structural_element_bernoulli_beam_3.hh
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rAKA akantu
structural_element_bernoulli_beam_3.hh
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/**
* @file structural_element_bernoulli_beam_3.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: Tue Feb 20 2018
*
* @brief Specific functions for bernoulli beam 3d
*
* @section LICENSE
*
* Copyright (©) 2016-2018 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/>.
*
*/
/* -------------------------------------------------------------------------- */
#ifndef __AKANTU_STRUCTURAL_ELEMENT_BERNOULLI_BEAM_3_HH__
#define __AKANTU_STRUCTURAL_ELEMENT_BERNOULLI_BEAM_3_HH__
#include "structural_mechanics_model.hh"
namespace
akantu
{
/* -------------------------------------------------------------------------- */
template
<>
inline
void
StructuralMechanicsModel
::
assembleMass
<
_bernoulli_beam_3
>
()
{
AKANTU_DEBUG_IN
();
#if 0
GhostType ghost_type = _not_ghost;
ElementType type = _bernoulli_beam_3;
MyFEEngineType & fem = getFEEngineClass<MyFEEngineType>();
UInt nb_element = getFEEngine().getMesh().getNbElement(type);
UInt nb_nodes_per_element = Mesh::getNbNodesPerElement(type);
UInt nb_quadrature_points = getFEEngine().getNbIntegrationPoints(type);
UInt nb_fields_to_interpolate =
getTangentStiffnessVoigtSize<_bernoulli_beam_3>();
UInt nt_n_field_size = nb_degree_of_freedom * nb_nodes_per_element;
Array<Real> * n =
new Array<Real>(nb_element * nb_quadrature_points,
nb_fields_to_interpolate * nt_n_field_size, "N");
n->clear();
Array<Real> * rho_field =
new Array<Real>(nb_element * nb_quadrature_points, "Rho");
rho_field->clear();
computeRho(*rho_field, type, _not_ghost);
/* --------------------------------------------------------------------------
*/
fem.computeShapesMatrix(type, nb_degree_of_freedom, nb_nodes_per_element, n,
0, 0, 0, true, ghost_type); // Ni ui -> u
fem.computeShapesMatrix(type, nb_degree_of_freedom, nb_nodes_per_element, n,
1, 1, 1, true, ghost_type); // Mi vi -> v
fem.computeShapesMatrix(type, nb_degree_of_freedom, nb_nodes_per_element, n,
2, 5, 1, true, ghost_type); // Li Theta_z_i -> v
fem.computeShapesMatrix(type, nb_degree_of_freedom, nb_nodes_per_element, n,
1, 2, 2, true, ghost_type); // Mi wi -> w
fem.computeShapesMatrix(type, nb_degree_of_freedom, nb_nodes_per_element, n,
2, 4, 2, false, ghost_type); // -Li Theta_y_i -> w
fem.computeShapesMatrix(type, nb_degree_of_freedom, nb_nodes_per_element, n,
0, 3, 3, true, ghost_type); // Ni Theta_x_i->Theta_x
/* --------------------------------------------------------------------------
*/
fem.assembleFieldMatrix(*rho_field, nb_degree_of_freedom, *mass_matrix, n,
rotation_matrix, type, ghost_type);
delete n;
delete rho_field;
#endif
AKANTU_DEBUG_OUT
();
}
/* -------------------------------------------------------------------------- */
template
<>
void
StructuralMechanicsModel
::
computeRotationMatrix
<
_bernoulli_beam_3
>
(
Array
<
Real
>
&
rotations
)
{
ElementType
type
=
_bernoulli_beam_3
;
Mesh
&
mesh
=
getFEEngine
().
getMesh
();
UInt
nb_element
=
mesh
.
getNbElement
(
type
);
auto
n_it
=
mesh
.
getNormals
(
type
).
begin
(
spatial_dimension
);
Array
<
UInt
>::
iterator
<
Vector
<
UInt
>>
connec_it
=
mesh
.
getConnectivity
(
type
).
begin
(
2
);
auto
nodes_it
=
mesh
.
getNodes
().
begin
(
spatial_dimension
);
Matrix
<
Real
>
Pe
(
spatial_dimension
,
spatial_dimension
);
Matrix
<
Real
>
Pg
(
spatial_dimension
,
spatial_dimension
);
Matrix
<
Real
>
inv_Pg
(
spatial_dimension
,
spatial_dimension
);
Vector
<
Real
>
x_n
(
spatial_dimension
);
// x vect n
Array
<
Real
>::
matrix_iterator
R_it
=
rotations
.
begin
(
nb_degree_of_freedom
,
nb_degree_of_freedom
);
for
(
UInt
e
=
0
;
e
<
nb_element
;
++
e
,
++
n_it
,
++
connec_it
,
++
R_it
)
{
Vector
<
Real
>
&
n
=
*
n_it
;
Matrix
<
Real
>
&
R
=
*
R_it
;
Vector
<
UInt
>
&
connec
=
*
connec_it
;
Vector
<
Real
>
x
;
x
=
nodes_it
[
connec
(
1
)];
// X2
Vector
<
Real
>
y
;
y
=
nodes_it
[
connec
(
0
)];
// X1
Real
l
=
x
.
distance
(
y
);
x
-=
y
;
// X2 - X1
x_n
.
crossProduct
(
x
,
n
);
Pe
.
eye
();
Pe
(
0
,
0
)
*=
l
;
Pe
(
1
,
1
)
*=
-
l
;
Pg
(
0
,
0
)
=
x
(
0
);
Pg
(
0
,
1
)
=
x_n
(
0
);
Pg
(
0
,
2
)
=
n
(
0
);
Pg
(
1
,
0
)
=
x
(
1
);
Pg
(
1
,
1
)
=
x_n
(
1
);
Pg
(
1
,
2
)
=
n
(
1
);
Pg
(
2
,
0
)
=
x
(
2
);
Pg
(
2
,
1
)
=
x_n
(
2
);
Pg
(
2
,
2
)
=
n
(
2
);
inv_Pg
.
inverse
(
Pg
);
Pe
*=
inv_Pg
;
for
(
UInt
i
=
0
;
i
<
spatial_dimension
;
++
i
)
{
for
(
UInt
j
=
0
;
j
<
spatial_dimension
;
++
j
)
{
R
(
i
,
j
)
=
Pe
(
i
,
j
);
R
(
i
+
spatial_dimension
,
j
+
spatial_dimension
)
=
Pe
(
i
,
j
);
}
}
}
}
/* -------------------------------------------------------------------------- */
template
<>
void
StructuralMechanicsModel
::
computeTangentModuli
<
_bernoulli_beam_3
>
(
Array
<
Real
>
&
tangent_moduli
)
{
UInt
nb_element
=
getFEEngine
().
getMesh
().
getNbElement
(
_bernoulli_beam_3
);
UInt
nb_quadrature_points
=
getFEEngine
().
getNbIntegrationPoints
(
_bernoulli_beam_3
);
UInt
tangent_size
=
4
;
tangent_moduli
.
clear
();
Array
<
Real
>::
matrix_iterator
D_it
=
tangent_moduli
.
begin
(
tangent_size
,
tangent_size
);
for
(
UInt
e
=
0
;
e
<
nb_element
;
++
e
)
{
UInt
mat
=
element_material
(
_bernoulli_beam_3
,
_not_ghost
)(
e
);
Real
E
=
materials
[
mat
].
E
;
Real
A
=
materials
[
mat
].
A
;
Real
Iz
=
materials
[
mat
].
Iz
;
Real
Iy
=
materials
[
mat
].
Iy
;
Real
GJ
=
materials
[
mat
].
GJ
;
for
(
UInt
q
=
0
;
q
<
nb_quadrature_points
;
++
q
,
++
D_it
)
{
Matrix
<
Real
>
&
D
=
*
D_it
;
D
(
0
,
0
)
=
E
*
A
;
D
(
1
,
1
)
=
E
*
Iz
;
D
(
2
,
2
)
=
E
*
Iy
;
D
(
3
,
3
)
=
GJ
;
}
}
}
}
// namespace akantu
#endif
/* __AKANTU_STRUCTURAL_ELEMENT_BERNOULLI_BEAM_3_HH__ */
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