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test_structural_mechanics_model_discrete_kirchhoff_triangle_18.cc
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rAKA akantu
test_structural_mechanics_model_discrete_kirchhoff_triangle_18.cc
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/**
* Copyright (©) 2011-2023 EPFL (Ecole Polytechnique Fédérale de Lausanne)
* Laboratory (LSMS - Laboratoire de Simulation en Mécanique des Solides)
*
* This file is part of Akantu
*
* 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 "sparse_matrix.hh"
#include "test_structural_mechanics_model_fixture.hh"
/* -------------------------------------------------------------------------- */
#include <gtest/gtest.h>
using
namespace
akantu
;
/* -------------------------------------------------------------------------- */
class
TestStructDKT18
:
public
TestStructuralFixture
<
element_type_t
<
_discrete_kirchhoff_triangle_18
>>
{
using
parent
=
TestStructuralFixture
<
element_type_t
<
_discrete_kirchhoff_triangle_18
>>
;
public
:
void
addMaterials
()
override
{
mat
.
E
=
1
;
mat
.
t
=
1
;
mat
.
nu
=
0.3
;
this
->
model
->
addMaterial
(
mat
);
}
void
assignMaterials
()
override
{
auto
&
materials
=
this
->
model
->
getElementMaterial
(
parent
::
type
);
std
::
fill
(
materials
.
begin
(),
materials
.
end
(),
0
);
}
void
setDirichletBCs
()
override
{
this
->
model
->
getBlockedDOFs
().
set
(
true
);
auto
center_node
=
this
->
model
->
getBlockedDOFs
().
end
(
parent
::
ndof
)
-
1
;
*
center_node
<<
false
,
false
,
false
,
false
,
false
,
true
;
this
->
model
->
getDisplacement
().
zero
();
auto
disp
=
++
this
->
model
->
getDisplacement
().
begin
(
parent
::
ndof
);
// Displacement field from Batoz Vol. 2 p. 392
// with theta to beta correction from discrete Kirchhoff condition
// see also the master thesis of Michael Lozano
// clang-format off
// This displacement field tests membrane and bending modes
*
disp
<<
40
,
20
,
-
800
,
-
20
,
40
,
0
;
++
disp
;
*
disp
<<
50
,
40
,
-
1400
,
-
40
,
50
,
0
;
++
disp
;
*
disp
<<
10
,
20
,
-
200
,
-
20
,
10
,
0
;
++
disp
;
// This displacement tests the bending mode
// *disp = {0, 0, -800 , -20, 40, 0}; ++disp;
// *disp = {0, 0, -1400, -40, 50, 0}; ++disp;
// *disp = {0, 0, -200 , -20, 10, 0}; ++disp;
// This displacement tests the membrane mode
// *disp = {40, 20, 0, 0, 0, 0}; ++disp;
// *disp = {50, 40, 0, 0, 0, 0}; ++disp;
// *disp = {10, 20, 0, 0, 0, 0}; ++disp;
// clang-format on
}
void
setNeumannBCs
()
override
{}
protected
:
StructuralMaterial
mat
;
};
/* -------------------------------------------------------------------------- */
// Batoz Vol 2. patch test, ISBN 2-86601-259-3
TEST_F
(
TestStructDKT18
,
TestDisplacements
)
{
model
->
solveStep
();
Vector
<
Real
>
solution
=
Vector
<
Real
>
{
22.5
,
22.5
,
-
337.5
,
-
22.5
,
22.5
,
0
};
auto
nb_nodes
=
this
->
model
->
getDisplacement
().
size
();
Vector
<
Real
>
center_node_disp
=
model
->
getDisplacement
().
begin
(
solution
.
size
())[
nb_nodes
-
1
];
auto
error
=
solution
-
center_node_disp
;
EXPECT_NEAR
(
error
.
norm
(),
0.
,
1e-12
);
}
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