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test_fe_engine_precomputation_bernoulli_3.cc
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Sun, Oct 20, 06:15
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rAKA akantu
test_fe_engine_precomputation_bernoulli_3.cc
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/**
* @file test_fe_engine_precomputation_bernoulli_3.cc
*
* @author Lucas Frerot <lucas.frerot@epfl.ch>
* @author Nicolas Richart <nicolas.richart@epfl.ch>
*
* @date creation: Wed Jan 24 2018
*
* @brief test of the fem class
*
* @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/>.
*
*/
/* -------------------------------------------------------------------------- */
#include "fe_engine.hh"
#include "integrator_gauss.hh"
#include "shape_structural.hh"
/* -------------------------------------------------------------------------- */
#include <cmath>
#include <functional>
#include <iostream>
/* -------------------------------------------------------------------------- */
using
namespace
akantu
;
/**
* Reference: p. 285, example 5.7 - A First Course in the Finite Elements Method
* Logan, 6th Edition, 2016
* ISBN-13: 978-1-305-63734-4
*/
Matrix
<
Real
>
rotationReference
()
{
return
{{
3.
/
13
,
4.
/
13
,
12.
/
13
},
{
-
4.
/
5
,
3.
/
5
,
0
},
{
-
36.
/
65
,
-
48.
/
65
,
5.
/
13
}};
}
int
main
(
int
argc
,
char
*
argv
[])
{
akantu
::
initialize
(
argc
,
argv
);
// debug::setDebugLevel(dblTest);
constexpr
ElementType
type
=
_bernoulli_beam_3
;
UInt
dim
=
ElementClass
<
type
>::
getSpatialDimension
();
Mesh
mesh
(
dim
);
// Pushing nodes
Vector
<
Real
>
node
=
{
0
,
0
,
0
};
mesh
.
getNodes
().
push_back
(
node
);
node
=
{
3
,
4
,
12
};
mesh
.
getNodes
().
push_back
(
node
);
// Pushing connectivity
mesh
.
addConnectivityType
(
type
);
auto
&
connectivity
=
mesh
.
getConnectivity
(
type
);
Vector
<
UInt
>
elem
=
{
0
,
1
};
connectivity
.
push_back
(
elem
);
// Pushing normals
auto
&
normals
=
mesh
.
registerElementalData
<
Real
>
(
"extra_normal"
).
alloc
(
0
,
dim
,
type
,
_not_ghost
);
Vector
<
Real
>
normal
=
{
-
36.
/
65
,
-
48.
/
65
,
5.
/
13
};
normals
.
push_back
(
normal
);
normals
.
push_back
(
normal
);
using
FE
=
FEEngineTemplate
<
IntegratorGauss
,
ShapeStructural
,
_ek_structural
>
;
using
ShapeStruct
=
ShapeStructural
<
_ek_structural
>
;
auto
fem
=
std
::
make_unique
<
FE
>
(
mesh
,
dim
,
"test_fem"
);
fem
->
initShapeFunctions
();
auto
&
shape
=
dynamic_cast
<
const
ShapeStruct
&>
(
fem
->
getShapeFunctions
());
Matrix
<
Real
>
rot_ref
=
rotationReference
();
Matrix
<
Real
>
solution
(
6
,
6
);
solution
.
block
(
rot_ref
,
0
,
0
);
solution
.
block
(
rot_ref
,
3
,
3
);
for
(
auto
&&
rot
:
make_view
(
shape
.
getRotations
(
type
),
6
,
6
))
{
if
(
!
Math
::
are_vector_equal
(
6
*
6
,
solution
.
storage
(),
rot
.
storage
()))
return
1
;
}
/// TODO check shape functions and shape derivatives
finalize
();
return
0
;
}
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