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test_cohesive_extrinsic_tetrahedron.cc
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rAKA akantu
test_cohesive_extrinsic_tetrahedron.cc
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/**
* @file test_cohesive_extrinsic_tetrahedron.cc
*
* @author Marco Vocialta <marco.vocialta@epfl.ch>
*
* @date creation: Tue May 08 2012
* @date last modification: Tue Aug 22 2017
*
* @brief Test for serial extrinsic cohesive elements for tetrahedron
*
* @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 <fstream>
#include <iostream>
#include <limits>
/* -------------------------------------------------------------------------- */
#include "material_cohesive_linear.hh"
#include "solid_mechanics_model_cohesive.hh"
/* -------------------------------------------------------------------------- */
using
namespace
akantu
;
Real
function
(
Real
constant
,
Real
x
,
Real
y
,
Real
z
)
{
return
constant
+
2.
*
x
+
3.
*
y
+
4
*
z
;
}
int
main
(
int
argc
,
char
*
argv
[])
{
initialize
(
"material.dat"
,
argc
,
argv
);
// const UInt max_steps = 1000;
// Real increment = 0.005;
const
UInt
spatial_dimension
=
3
;
Math
::
setTolerance
(
1.e-12
);
ElementType
type
=
_tetrahedron_10
;
ElementType
type_facet
=
Mesh
::
getFacetType
(
type
);
ElementType
type_cohesive
=
FEEngine
::
getCohesiveElementType
(
type_facet
);
Mesh
mesh
(
spatial_dimension
);
mesh
.
read
(
"tetrahedron.msh"
);
SolidMechanicsModelCohesive
model
(
mesh
);
/// model initialization
model
.
initFull
(
SolidMechanicsModelCohesiveOptions
(
_explicit_lumped_mass
,
true
));
const
MaterialCohesiveLinear
<
3
>
&
mat_cohesive
=
dynamic_cast
<
const
MaterialCohesiveLinear
<
3
>
&>
(
model
.
getMaterial
(
1
));
std
::
cout
<<
mat_cohesive
<<
std
::
endl
;
std
::
cout
<<
model
.
getMaterial
(
2
)
<<
std
::
endl
;
const
Real
sigma_c
=
mat_cohesive
.
get
(
"sigma_c"
);
const
Real
beta
=
mat_cohesive
.
get
(
"beta"
);
std
::
cout
<<
sigma_c
<<
" "
<<
beta
<<
std
::
endl
;
Array
<
Real
>
&
position
=
mesh
.
getNodes
();
/* ------------------------------------------------------------------------ */
/* Facet part */
/* ------------------------------------------------------------------------ */
/// compute quadrature points positions on facets
const
Mesh
&
mesh_facets
=
model
.
getMeshFacets
();
UInt
nb_facet
=
mesh_facets
.
getNbElement
(
type_facet
);
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
);
/* ------------------------------------------------------------------------ */
/* End of facet part */
/* ------------------------------------------------------------------------ */
/// compute quadrature points position of the elements
UInt
nb_quad_per_element
=
model
.
getFEEngine
().
getNbIntegrationPoints
(
type
);
UInt
nb_element
=
mesh
.
getNbElement
(
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
));
Array
<
Real
>::
iterator
<
Matrix
<
Real
>>
stress_it
=
stress
.
begin
(
spatial_dimension
,
spatial_dimension
);
for
(
UInt
q
=
0
;
q
<
nb_tot_quad_el
;
++
q
,
++
stress_it
)
{
/// compute values
for
(
UInt
i
=
0
;
i
<
spatial_dimension
;
++
i
)
{
for
(
UInt
j
=
i
;
j
<
spatial_dimension
;
++
j
)
{
UInt
index
=
i
*
spatial_dimension
+
j
;
(
*
stress_it
)(
i
,
j
)
=
index
*
function
(
sigma_c
*
5
,
quad_elements
(
q
,
0
),
quad_elements
(
q
,
1
),
quad_elements
(
q
,
2
));
}
}
/// fill symmetrical part
for
(
UInt
i
=
0
;
i
<
spatial_dimension
;
++
i
)
{
for
(
UInt
j
=
0
;
j
<
i
;
++
j
)
{
(
*
stress_it
)(
i
,
j
)
=
(
*
stress_it
)(
j
,
i
);
}
}
}
/// compute stress on facet quads
Array
<
Real
>
stress_facets
(
nb_tot_quad
,
spatial_dimension
*
spatial_dimension
);
Array
<
Real
>::
iterator
<
Matrix
<
Real
>>
stress_facets_it
=
stress_facets
.
begin
(
spatial_dimension
,
spatial_dimension
);
for
(
UInt
q
=
0
;
q
<
nb_tot_quad
;
++
q
,
++
stress_facets_it
)
{
/// compute values
for
(
UInt
i
=
0
;
i
<
spatial_dimension
;
++
i
)
{
for
(
UInt
j
=
i
;
j
<
spatial_dimension
;
++
j
)
{
UInt
index
=
i
*
spatial_dimension
+
j
;
(
*
stress_facets_it
)(
i
,
j
)
=
index
*
function
(
sigma_c
*
5
,
quad_facets
(
q
,
0
),
quad_facets
(
q
,
1
),
quad_facets
(
q
,
2
));
}
}
/// fill symmetrical part
for
(
UInt
i
=
0
;
i
<
spatial_dimension
;
++
i
)
{
for
(
UInt
j
=
0
;
j
<
i
;
++
j
)
{
(
*
stress_facets_it
)(
i
,
j
)
=
(
*
stress_facets_it
)(
j
,
i
);
}
}
}
/// insert cohesive elements
model
.
checkCohesiveStress
();
/// check insertion stress
const
Array
<
Real
>
&
normals
=
model
.
getFEEngine
(
"FacetsFEEngine"
)
.
getNormalsOnIntegrationPoints
(
type_facet
);
const
Array
<
Real
>
&
tangents
=
model
.
getTangents
(
type_facet
);
const
Array
<
Real
>
&
sigma_c_eff
=
mat_cohesive
.
getInsertionTraction
(
type_cohesive
);
Vector
<
Real
>
normal_stress
(
spatial_dimension
);
const
Array
<
std
::
vector
<
Element
>>
&
coh_element_to_facet
=
mesh_facets
.
getElementToSubelement
(
type_facet
);
Array
<
Real
>::
iterator
<
Matrix
<
Real
>>
quad_facet_stress
=
stress_facets
.
begin
(
spatial_dimension
,
spatial_dimension
);
Array
<
Real
>::
const_iterator
<
Vector
<
Real
>>
quad_normal
=
normals
.
begin
(
spatial_dimension
);
Array
<
Real
>::
const_iterator
<
Vector
<
Real
>>
quad_tangents
=
tangents
.
begin
(
tangents
.
getNbComponent
());
for
(
UInt
f
=
0
;
f
<
nb_facet
;
++
f
)
{
const
Element
&
cohesive_element
=
coh_element_to_facet
(
f
)[
1
];
for
(
UInt
q
=
0
;
q
<
nb_quad_per_facet
;
++
q
,
++
quad_facet_stress
,
++
quad_normal
,
++
quad_tangents
)
{
if
(
cohesive_element
==
ElementNull
)
continue
;
normal_stress
.
mul
<
false
>
(
*
quad_facet_stress
,
*
quad_normal
);
Real
normal_contrib
=
normal_stress
.
dot
(
*
quad_normal
);
Real
first_tangent_contrib
=
0
;
for
(
UInt
dim
=
0
;
dim
<
spatial_dimension
;
++
dim
)
first_tangent_contrib
+=
normal_stress
(
dim
)
*
(
*
quad_tangents
)(
dim
);
Real
second_tangent_contrib
=
0
;
for
(
UInt
dim
=
0
;
dim
<
spatial_dimension
;
++
dim
)
second_tangent_contrib
+=
normal_stress
(
dim
)
*
(
*
quad_tangents
)(
dim
+
spatial_dimension
);
Real
tangent_contrib
=
std
::
sqrt
(
first_tangent_contrib
*
first_tangent_contrib
+
second_tangent_contrib
*
second_tangent_contrib
);
normal_contrib
=
std
::
max
(
0.
,
normal_contrib
);
Real
effective_norm
=
std
::
sqrt
(
normal_contrib
*
normal_contrib
+
tangent_contrib
*
tangent_contrib
/
beta
/
beta
);
if
(
effective_norm
<
sigma_c
)
continue
;
if
(
!
Math
::
are_float_equal
(
effective_norm
,
sigma_c_eff
(
cohesive_element
.
element
*
nb_quad_per_facet
+
q
)))
{
std
::
cout
<<
"Insertion tractions do not match"
<<
std
::
endl
;
finalize
();
return
EXIT_FAILURE
;
}
}
}
finalize
();
std
::
cout
<<
"OK: test_cohesive_extrinsic was passed!"
<<
std
::
endl
;
return
EXIT_SUCCESS
;
}
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