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test_material_damage_iterative_non_local_serial.cc
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rAKA akantu
test_material_damage_iterative_non_local_serial.cc
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/**
* @file test_material_damage_iterative_non_local_serial.cc
* @author Aurelia Isabel Cuba Ramos <aurelia.cubaramos@epfl.ch>
* @date Thu Nov 26 12:20:15 2015
*
* @brief test the material damage iterative non local in serial
*
* @section LICENSE
*
* Copyright (©) 2010-2011 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 "material_damage_iterative_non_local.hh"
#include "solid_mechanics_model.hh"
/* -------------------------------------------------------------------------- */
using
namespace
akantu
;
/* -------------------------------------------------------------------------- */
/* Main */
/* -------------------------------------------------------------------------- */
int
main
(
int
argc
,
char
*
argv
[])
{
Math
::
setTolerance
(
1e-13
);
debug
::
setDebugLevel
(
dblWarning
);
initialize
(
"material_non_local.dat"
,
argc
,
argv
);
const
UInt
spatial_dimension
=
2
;
ElementType
element_type
=
_triangle_3
;
/// read the mesh and partion it
Mesh
mesh
(
spatial_dimension
);
mesh
.
read
(
"plate.msh"
);
/// model creation
SolidMechanicsModel
model
(
mesh
);
/// initialization of the model
model
.
initFull
(
SolidMechanicsModelOptions
(
_static
));
/// boundary conditions
/// Dirichlet BC
mesh
.
createGroupsFromMeshData
<
std
::
string
>
(
"physical_names"
);
// creates groups from mesh names
model
.
applyBC
(
BC
::
Dirichlet
::
FixedValue
(
0
,
_x
),
"left"
);
model
.
applyBC
(
BC
::
Dirichlet
::
FixedValue
(
0
,
_y
),
"bottom"
);
model
.
applyBC
(
BC
::
Dirichlet
::
FixedValue
(
2.
,
_y
),
"top"
);
/// add fields that should be dumped
model
.
setBaseName
(
"material_damage_iterative_test"
);
model
.
addDumpFieldVector
(
"displacement"
);
;
model
.
addDumpField
(
"stress"
);
model
.
addDumpField
(
"blocked_dofs"
);
model
.
addDumpField
(
"residual"
);
model
.
addDumpField
(
"grad_u"
);
model
.
addDumpField
(
"grad_u non local"
);
model
.
addDumpField
(
"damage"
);
model
.
addDumpField
(
"partitions"
);
model
.
addDumpField
(
"material_index"
);
model
.
addDumpField
(
"Sc"
);
model
.
addDumpField
(
"force"
);
model
.
addDumpField
(
"equivalent_stress"
);
model
.
dump
();
MaterialDamageIterativeNonLocal
<
spatial_dimension
>
&
material
=
dynamic_cast
<
MaterialDamageIterativeNonLocal
<
spatial_dimension
>
&>
(
model
.
getMaterial
(
0
));
Real
error
;
bool
converged
=
false
;
Real
max_eq_stress
=
0
;
/// solve the system
converged
=
model
.
solveStep
<
_scm_newton_raphson_tangent_modified
,
SolveConvergenceCriteria
::
_increment
>
(
1e-4
,
error
,
2
);
if
(
converged
==
false
)
{
std
::
cout
<<
"The error is: "
<<
error
<<
std
::
endl
;
AKANTU_DEBUG_ASSERT
(
converged
,
"Did not converge"
);
}
model
.
dump
();
/// check the non-local grad_u: since grad_u is constant everywhere
/// also the grad_u non-local has to be constant
Array
<
Real
>
&
grad_u_nl
=
material
.
getInternal
<
Real
>
(
"grad_u non local"
)(
element_type
,
_not_ghost
);
Array
<
Real
>::
const_matrix_iterator
grad_u_nl_it
=
grad_u_nl
.
begin
(
spatial_dimension
,
spatial_dimension
);
Array
<
Real
>::
const_matrix_iterator
grad_u_nl_end
=
grad_u_nl
.
end
(
spatial_dimension
,
spatial_dimension
);
Real
diff
=
0.
;
Matrix
<
Real
>
diff_matrix
(
spatial_dimension
,
spatial_dimension
);
Matrix
<
Real
>
const_grad_u
(
spatial_dimension
,
spatial_dimension
,
0.
);
const_grad_u
(
1
,
1
)
=
1.
;
for
(;
grad_u_nl_it
!=
grad_u_nl_end
;
++
grad_u_nl_it
)
{
diff_matrix
=
(
*
grad_u_nl_it
)
-
const_grad_u
;
diff
+=
diff_matrix
.
norm
<
L_2
>
();
}
if
(
diff
>
10.e-13
)
{
std
::
cout
<<
"Error in the non-local grad_u computation"
<<
std
::
endl
;
return
EXIT_FAILURE
;
}
/// change the displacement in one node to modify grad_u
Array
<
Real
>
&
displ
=
model
.
getDisplacement
();
displ
(
0
,
1
)
=
2.6
;
/// compute stresses: this will average grad_u and compute the max. eq. stress
model
.
updateResidual
();
model
.
dump
();
/// due to the change in the displacement element 33 and 37 will
/// have a grad_u different then one
const
Array
<
Real
>
&
grad_u
=
material
.
getInternal
<
Real
>
(
"grad_u"
)(
element_type
,
_not_ghost
);
Array
<
Real
>::
const_matrix_iterator
grad_u_it
=
grad_u
.
begin
(
spatial_dimension
,
spatial_dimension
);
Array
<
Real
>::
const_matrix_iterator
grad_u_end
=
grad_u
.
end
(
spatial_dimension
,
spatial_dimension
);
diff
=
0.
;
diff_matrix
.
clear
();
UInt
counter
=
0
;
for
(;
grad_u_it
!=
grad_u_end
;
++
grad_u_it
)
{
diff_matrix
=
(
*
grad_u_it
)
-
const_grad_u
;
if
(
counter
==
34
||
counter
==
38
)
{
if
((
diff_matrix
.
norm
<
L_2
>
())
<
0.1
)
{
std
::
cout
<<
"Error in the grad_u computation"
<<
std
::
endl
;
return
EXIT_FAILURE
;
}
}
else
diff
+=
diff_matrix
.
norm
<
L_2
>
();
++
counter
;
}
if
(
diff
>
10.e-13
)
{
std
::
cout
<<
"Error in the grad_u computation"
<<
std
::
endl
;
return
EXIT_FAILURE
;
}
/// check that the non-local grad_u
diff
=
0.
;
diff_matrix
.
clear
();
Real
nl_radius
=
1.0
;
/// same values as in material file
grad_u_nl_it
=
grad_u_nl
.
begin
(
spatial_dimension
,
spatial_dimension
);
ElementTypeMapReal
quad_coords
(
"quad_coords"
);
mesh
.
initElementTypeMapArray
(
quad_coords
,
spatial_dimension
,
spatial_dimension
,
false
,
_ek_regular
,
true
);
model
.
getFEEngine
().
computeIntegrationPointsCoordinates
(
quad_coords
);
UInt
nb_elements
=
mesh
.
getNbElement
(
element_type
,
_not_ghost
);
UInt
nb_quads
=
model
.
getFEEngine
().
getNbIntegrationPoints
(
element_type
);
Array
<
Real
>
&
coords
=
quad_coords
(
element_type
,
_not_ghost
);
auto
coord_it
=
coords
.
begin
(
spatial_dimension
);
Vector
<
Real
>
q1
(
spatial_dimension
);
Vector
<
Real
>
q2
(
spatial_dimension
);
q1
=
coord_it
[
34
];
q2
=
coord_it
[
38
];
for
(
UInt
e
=
0
;
e
<
nb_elements
;
++
e
)
{
for
(
UInt
q
=
0
;
q
<
nb_quads
;
++
q
,
++
coord_it
,
++
grad_u_nl_it
)
{
diff_matrix
=
(
*
grad_u_nl_it
)
-
const_grad_u
;
if
((
q1
.
distance
(
*
coord_it
)
<=
(
nl_radius
+
Math
::
getTolerance
()))
||
(
q2
.
distance
(
*
coord_it
)
<=
(
nl_radius
+
Math
::
getTolerance
())))
{
if
((
diff_matrix
.
norm
<
L_2
>
())
<
1.e-6
)
{
std
::
cout
<<
(
diff_matrix
.
norm
<
L_2
>
())
<<
std
::
endl
;
std
::
cout
<<
"Error in the non-local grad_u computation"
<<
std
::
endl
;
return
EXIT_FAILURE
;
}
}
else
diff
+=
diff_matrix
.
norm
<
L_2
>
();
}
}
if
(
diff
>
10.e-13
)
{
std
::
cout
<<
"Error in the non-local grad_u computation"
<<
std
::
endl
;
return
EXIT_FAILURE
;
}
/// make sure that the normalized equivalent stress is based on the
/// non-local grad_u for this test check the elements that have the
/// constant stress of 1 but different non-local gradu because they
/// are in the neighborhood of the modified elements
coord_it
=
coords
.
begin
(
spatial_dimension
);
const
Array
<
Real
>
&
eq_stress
=
material
.
getInternal
<
Real
>
(
"equivalent_stress"
)(
element_type
,
_not_ghost
);
Array
<
Real
>::
const_scalar_iterator
eq_stress_it
=
eq_stress
.
begin
();
counter
=
0
;
for
(
UInt
e
=
0
;
e
<
nb_elements
;
++
e
)
{
for
(
UInt
q
=
0
;
q
<
nb_quads
;
++
q
,
++
coord_it
,
++
grad_u_nl_it
,
++
eq_stress_it
)
{
if
(
counter
==
34
||
counter
==
38
)
continue
;
if
(((
q1
.
distance
(
*
coord_it
)
<=
(
nl_radius
+
Math
::
getTolerance
()))
||
(
q2
.
distance
(
*
coord_it
)
<=
(
nl_radius
+
Math
::
getTolerance
())))
&&
Math
::
are_float_equal
(
*
eq_stress_it
,
0.1
))
{
std
::
cout
<<
"the normalized equivalent stress is most likely based on "
"the local, not the non-local grad_u!!!!"
<<
std
::
endl
;
finalize
();
return
EXIT_FAILURE
;
}
++
counter
;
}
}
max_eq_stress
=
material
.
getNormMaxEquivalentStress
();
if
(
!
Math
::
are_float_equal
(
max_eq_stress
,
0.1311267235941873
))
{
std
::
cout
<<
"the maximum equivalent stress is wrong"
<<
std
::
endl
;
finalize
();
return
EXIT_FAILURE
;
}
model
.
dump
();
finalize
();
return
EXIT_SUCCESS
;
}
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