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test_interpolate_stress.cc
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rAKA akantu
test_interpolate_stress.cc
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/**
* @file test_interpolate_stress.cc
*
* @author Marco Vocialta <marco.vocialta@epfl.ch>
*
* @date creation: Sun Oct 19 2014
* @date last modification: Tue Sep 08 2020
*
* @brief Test for the stress interpolation function
*
*
* @section LICENSE
*
* Copyright (©) 2010-2021 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 <fstream>
#include <iostream>
#include <limits>
/* -------------------------------------------------------------------------- */
#include "integrator_gauss.hh"
#include "mesh_utils.hh"
#include "shape_lagrange.hh"
#include "solid_mechanics_model.hh"
/* -------------------------------------------------------------------------- */
using
namespace
akantu
;
Real
function
(
Real
x
,
Real
y
,
Real
z
)
{
return
100.
+
2.
*
x
+
3.
*
y
+
4
*
z
;
}
int
main
(
int
argc
,
char
*
argv
[])
{
initialize
(
"material_interpolate.dat"
,
argc
,
argv
);
debug
::
setDebugLevel
(
dblWarning
);
const
UInt
spatial_dimension
=
3
;
const
ElementType
type
=
_tetrahedron_10
;
Mesh
mesh
(
spatial_dimension
);
mesh
.
read
(
"interpolation.msh"
);
const
ElementType
type_facet
=
mesh
.
getFacetType
(
type
);
Mesh
&
mesh_facets
=
mesh
.
initMeshFacets
(
"mesh_facets"
);
MeshUtils
::
buildAllFacets
(
mesh
,
mesh_facets
);
SolidMechanicsModel
model
(
mesh
);
/// model initialization
model
.
initFull
();
Array
<
Real
>
&
position
=
mesh
.
getNodes
();
UInt
nb_facet
=
mesh_facets
.
getNbElement
(
type_facet
);
UInt
nb_element
=
mesh
.
getNbElement
(
type
);
/// compute quadrature points positions on facets
typedef
FEEngineTemplate
<
IntegratorGauss
,
ShapeLagrange
>
MyFEEngineType
;
model
.
registerFEEngineObject
<
MyFEEngineType
>
(
"FacetsFEEngine"
,
mesh_facets
,
spatial_dimension
-
1
);
model
.
getFEEngine
(
"FacetsFEEngine"
).
initShapeFunctions
();
UInt
nb_quad_per_facet
=
model
.
getFEEngine
(
"FacetsFEEngine"
).
getNbIntegrationPoints
(
type_facet
);
UInt
nb_tot_quad
=
nb_quad_per_facet
*
nb_facet
;
Array
<
Real
>
quad_facets
(
nb_tot_quad
,
spatial_dimension
);
model
.
getFEEngine
(
"FacetsFEEngine"
)
.
interpolateOnIntegrationPoints
(
position
,
quad_facets
,
spatial_dimension
,
type_facet
);
auto
&&
facet_to_element
=
mesh_facets
.
getSubelementToElement
(
type
);
UInt
nb_facet_per_elem
=
facet_to_element
.
getNbComponent
();
ElementTypeMapArray
<
Real
>
element_quad_facet
;
element_quad_facet
.
alloc
(
nb_element
*
nb_facet_per_elem
*
nb_quad_per_facet
,
spatial_dimension
,
type
);
ElementTypeMapArray
<
Real
>
interpolated_stress
(
"interpolated_stress"
,
""
);
interpolated_stress
.
initialize
(
mesh
,
_nb_component
=
spatial_dimension
*
spatial_dimension
,
_spatial_dimension
=
spatial_dimension
);
Array
<
Real
>
&
interp_stress
=
interpolated_stress
(
type
);
interp_stress
.
resize
(
nb_element
*
nb_facet_per_elem
*
nb_quad_per_facet
);
Array
<
Real
>
&
el_q_facet
=
element_quad_facet
(
type
);
for
(
UInt
el
=
0
;
el
<
nb_element
;
++
el
)
{
for
(
UInt
f
=
0
;
f
<
nb_facet_per_elem
;
++
f
)
{
UInt
global_facet
=
facet_to_element
(
el
,
f
).
element
;
for
(
UInt
q
=
0
;
q
<
nb_quad_per_facet
;
++
q
)
{
for
(
UInt
s
=
0
;
s
<
spatial_dimension
;
++
s
)
{
el_q_facet
(
el
*
nb_facet_per_elem
*
nb_quad_per_facet
+
f
*
nb_quad_per_facet
+
q
,
s
)
=
quad_facets
(
global_facet
*
nb_quad_per_facet
+
q
,
s
);
}
}
}
}
/// compute quadrature points position of the elements
UInt
nb_quad_per_element
=
model
.
getFEEngine
().
getNbIntegrationPoints
(
type
);
UInt
nb_tot_quad_el
=
nb_quad_per_element
*
nb_element
;
Array
<
Real
>
quad_elements
(
nb_tot_quad_el
,
spatial_dimension
);
model
.
getFEEngine
().
interpolateOnIntegrationPoints
(
position
,
quad_elements
,
spatial_dimension
,
type
);
/// assign some values to stresses
Array
<
Real
>
&
stress
=
const_cast
<
Array
<
Real
>
&>
(
model
.
getMaterial
(
0
).
getStress
(
type
));
for
(
UInt
q
=
0
;
q
<
nb_tot_quad_el
;
++
q
)
{
for
(
UInt
s
=
0
;
s
<
spatial_dimension
*
spatial_dimension
;
++
s
)
{
stress
(
q
,
s
)
=
s
*
function
(
quad_elements
(
q
,
0
),
quad_elements
(
q
,
1
),
quad_elements
(
q
,
2
));
}
}
/// interpolate stresses on facets' quadrature points
model
.
getMaterial
(
0
).
initElementalFieldInterpolation
(
element_quad_facet
);
model
.
getMaterial
(
0
).
interpolateStress
(
interpolated_stress
);
Real
tolerance
=
1.e-10
;
/// check results
for
(
UInt
el
=
0
;
el
<
nb_element
;
++
el
)
{
for
(
UInt
f
=
0
;
f
<
nb_facet_per_elem
;
++
f
)
{
for
(
UInt
q
=
0
;
q
<
nb_quad_per_facet
;
++
q
)
{
for
(
UInt
s
=
0
;
s
<
spatial_dimension
*
spatial_dimension
;
++
s
)
{
Real
x
=
el_q_facet
(
el
*
nb_facet_per_elem
*
nb_quad_per_facet
+
f
*
nb_quad_per_facet
+
q
,
0
);
Real
y
=
el_q_facet
(
el
*
nb_facet_per_elem
*
nb_quad_per_facet
+
f
*
nb_quad_per_facet
+
q
,
1
);
Real
z
=
el_q_facet
(
el
*
nb_facet_per_elem
*
nb_quad_per_facet
+
f
*
nb_quad_per_facet
+
q
,
2
);
Real
theoretical
=
s
*
function
(
x
,
y
,
z
);
Real
numerical
=
interp_stress
(
el
*
nb_facet_per_elem
*
nb_quad_per_facet
+
f
*
nb_quad_per_facet
+
q
,
s
);
if
(
std
::
abs
(
theoretical
-
numerical
)
>
tolerance
)
{
std
::
cout
<<
"Theoretical and numerical values aren't coincident!"
<<
std
::
endl
;
return
EXIT_FAILURE
;
}
}
}
}
}
std
::
cout
<<
"OK: Stress interpolation test passed."
<<
std
::
endl
;
return
EXIT_SUCCESS
;
}
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