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test_structural_mechanics_model_bernoulli_beam_2.cc
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Tue, Aug 27, 10:39
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rAKA akantu
test_structural_mechanics_model_bernoulli_beam_2.cc
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/**
* @file test_structural_mechanics_model_bernoulli_beam_2.cc
*
* @author Fabian Barras <fabian.barras@epfl.ch>
* @author Lucas Frerot <lucas.frerot@epfl.ch>
*
* @date creation: Fri Jul 15 2011
* @date last modification: Fri Feb 09 2018
*
* @brief Computation of the analytical exemple 1.1 in the TGC vol 6
*
* @section LICENSE
*
* Copyright (©) 2010-2018 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 "test_structural_mechanics_model_fixture.hh"
/* -------------------------------------------------------------------------- */
#include <gtest/gtest.h>
using
namespace
akantu
;
/* -------------------------------------------------------------------------- */
class
TestStructBernoulli2
:
public
TestStructuralFixture
<
element_type_t
<
_bernoulli_beam_2
>>
{
using
parent
=
TestStructuralFixture
<
element_type_t
<
_bernoulli_beam_2
>>
;
public
:
void
addMaterials
()
override
{
mat
.
E
=
3e10
;
mat
.
I
=
0.0025
;
mat
.
A
=
0.01
;
this
->
model
->
addMaterial
(
mat
);
mat
.
E
=
3e10
;
mat
.
I
=
0.00128
;
mat
.
A
=
0.01
;
this
->
model
->
addMaterial
(
mat
);
}
void
assignMaterials
()
override
{
auto
&
materials
=
this
->
model
->
getElementMaterial
(
parent
::
type
);
materials
(
0
)
=
0
;
materials
(
1
)
=
1
;
}
void
setDirichlets
()
override
{
auto
boundary
=
this
->
model
->
getBlockedDOFs
().
begin
(
parent
::
ndof
);
// clang-format off
*
boundary
=
{
true
,
true
,
true
};
++
boundary
;
*
boundary
=
{
false
,
true
,
false
};
++
boundary
;
*
boundary
=
{
false
,
true
,
false
};
++
boundary
;
// clang-format on
}
void
setNeumanns
()
override
{
Real
M
=
3600
;
// Nm
Real
q
=
-
6000
;
// kN/m
Real
L
=
10
;
// m
auto
&
forces
=
this
->
model
->
getExternalForce
();
forces
(
2
,
2
)
=
-
M
;
// moment on last node
#if 1
// as long as integration is not available
forces
(
0
,
1
)
=
q
*
L
/
2
;
forces
(
0
,
2
)
=
q
*
L
*
L
/
12
;
forces
(
1
,
1
)
=
q
*
L
/
2
;
forces
(
1
,
2
)
=
-
q
*
L
*
L
/
12
;
#else
auto
&
group
=
mesh
.
createElementGroup
(
"lin_force"
);
group
.
add
({
type
,
0
,
_not_ghost
});
Vector
<
Real
>
lin_force
=
{
0
,
q
,
0
};
// a linear force is not actually a *boundary* condition
// it is equivalent to a volume force
model
.
applyBC
(
BC
::
Neumann
::
FromSameDim
(
lin_force
),
group
);
#endif
forces
(
2
,
0
)
=
mat
.
E
*
mat
.
A
/
18
;
}
protected
:
StructuralMaterial
mat
;
};
/* -------------------------------------------------------------------------- */
TEST_F
(
TestStructBernoulli2
,
TestDisplacements
)
{
model
->
solveStep
();
auto
d1
=
model
->
getDisplacement
()(
1
,
2
);
auto
d2
=
model
->
getDisplacement
()(
2
,
2
);
auto
d3
=
model
->
getDisplacement
()(
1
,
0
);
Real
tol
=
Math
::
getTolerance
();
EXPECT_NEAR
(
d1
,
5.6
/
4800
,
tol
);
// first rotation
EXPECT_NEAR
(
d2
,
-
3.7
/
4800
,
tol
);
// second rotation
EXPECT_NEAR
(
d3
,
10.
/
18
,
tol
);
// axial deformation
}
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