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test_solid_mechanics_model_kinetic_energy.cc
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rAKA akantu
test_solid_mechanics_model_kinetic_energy.cc
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/**
* @file test_solid_mechanics_model_kinetic_energy.cc
*
* @author Tobias Brink <tobias.brink@epfl.ch>
*
* @date creation: Tue Nov 15 2017
* @date last modification: Tue Nov 15 2017
*
* @brief test kinetic energy
*
* @section description
*
* This test uses a linear elastic material with density = 1, Young's
* modulus = 1, and Poisson's ratio = 0 and imposes a uniform velocity
* of 1. The volume of the mesh is 1 and thus we have a mass of 1 and
* therefore a kinetic energy of 0.5*m*v² = 0.5. The kind of
* constitutive law should not matter for this test, so we use linear
* elastic. We perform 5 timesteps and check the solution every time.
*
* @section LICENSE
*
* Copyright (©) 2017 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_solid_mechanics_model_fixture.hh"
/* -------------------------------------------------------------------------- */
using
namespace
akantu
;
namespace
{
void
test_body
(
SolidMechanicsModel
&
model
,
AnalysisMethod
analysis_method
)
{
const
auto
spatial_dimension
=
model
.
getSpatialDimension
();
getStaticParser
().
parse
(
"test_solid_mechanics_model_"
"kinetic_energy_material.dat"
);
model
.
initFull
(
SolidMechanicsModelOptions
(
analysis_method
));
model
.
assembleMassLumped
();
/// impose initial velocity of 1, it should remain constant
auto
&
velo
=
model
.
getVelocity
();
for
(
auto
&&
velov
:
make_view
(
velo
,
spatial_dimension
))
{
velov
(
_x
)
=
1
;
}
/// set up timestep
auto
time_step
=
model
.
getStableTimeStep
()
*
0.8
;
model
.
setTimeStep
(
time_step
);
/// run five times and look at the kinetic energy
for
(
uint
i
=
0
;
i
<
5
;
++
i
)
{
/// make a step
model
.
solveStep
();
/// compare energy to analytical solution
const
Real
E_ref
=
0.5
;
auto
E_kin
=
model
.
getEnergy
(
"kinetic"
);
EXPECT_NEAR
(
E_ref
,
E_kin
,
1e-8
);
}
}
TYPED_TEST
(
TestSMMFixture
,
KineticEnergyImplicit
)
{
test_body
(
*
(
this
->
model
),
_implicit_dynamic
);
}
TYPED_TEST
(
TestSMMFixture
,
KineticEnergyExplicit
)
{
test_body
(
*
(
this
->
model
),
_explicit_lumped_mass
);
}
}
// namespace
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