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test_phase_solid_coupling.cc
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rAKA akantu
test_phase_solid_coupling.cc
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/**
* @file test_phase_solid_coupling.cc
*
* @author Mohit Pundir <mohit.pundir@epfl.ch>
*
* @date creation: Sun Jan 06 2019
* @date last modification: Wed Mar 03 2021
*
* @brief test of the class PhaseFieldModel on the 2d square
*
*
* @section LICENSE
*
* Copyright (©) 2018-2021 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 "aka_common.hh"
#include "material.hh"
#include "material_phasefield.hh"
#include "non_linear_solver.hh"
#include "phase_field_model.hh"
#include "solid_mechanics_model.hh"
/* -------------------------------------------------------------------------- */
#include <fstream>
#include <iostream>
/* -------------------------------------------------------------------------- */
using
namespace
akantu
;
const
UInt
spatial_dimension
=
2
;
/* -------------------------------------------------------------------------- */
void
applyDisplacement
(
SolidMechanicsModel
&
,
Real
&
);
void
computeStrainOnQuadPoints
(
SolidMechanicsModel
&
,
PhaseFieldModel
&
,
const
GhostType
&
);
void
computeDamageOnQuadPoints
(
SolidMechanicsModel
&
,
PhaseFieldModel
&
,
const
GhostType
&
);
void
gradUToEpsilon
(
const
Matrix
<
Real
>
&
,
Matrix
<
Real
>
&
);
/* -------------------------------------------------------------------------- */
int
main
(
int
argc
,
char
*
argv
[])
{
std
::
ofstream
os
(
"data.csv"
);
os
<<
"#strain stress damage analytical_sigma analytical_damage"
<<
std
::
endl
;
initialize
(
"material_coupling.dat"
,
argc
,
argv
);
Mesh
mesh
(
spatial_dimension
);
mesh
.
read
(
"test_one_element.msh"
);
SolidMechanicsModel
model
(
mesh
);
model
.
initFull
(
_analysis_method
=
_static
);
PhaseFieldModel
phase
(
mesh
);
auto
&&
selector
=
std
::
make_shared
<
MeshDataPhaseFieldSelector
<
std
::
string
>>
(
"physical_names"
,
phase
);
phase
.
setPhaseFieldSelector
(
selector
);
phase
.
initFull
(
_analysis_method
=
_static
);
model
.
setBaseName
(
"phase_solid"
);
model
.
addDumpField
(
"stress"
);
model
.
addDumpField
(
"grad_u"
);
model
.
addDumpFieldVector
(
"displacement"
);
model
.
addDumpField
(
"damage"
);
model
.
dump
();
UInt
nbSteps
=
1000
;
Real
increment
=
1e-4
;
auto
&
stress
=
model
.
getMaterial
(
0
).
getArray
<
Real
>
(
"stress"
,
_quadrangle_4
);
auto
&
damage
=
model
.
getMaterial
(
0
).
getArray
<
Real
>
(
"damage"
,
_quadrangle_4
);
Real
analytical_damage
{
0.
};
Real
analytical_sigma
{
0.
};
auto
&
phasefield
=
phase
.
getPhaseField
(
0
);
const
Real
E
=
phasefield
.
getParam
(
"E"
);
const
Real
nu
=
phasefield
.
getParam
(
"nu"
);
Real
c22
=
E
*
(
1
-
nu
)
/
((
1
+
nu
)
*
(
1
-
2
*
nu
));
const
Real
gc
=
phasefield
.
getParam
(
"gc"
);
const
Real
l0
=
phasefield
.
getParam
(
"l0"
);
Real
error_stress
{
0.
};
Real
error_damage
{
0.
};
for
(
UInt
s
=
0
;
s
<
nbSteps
;
++
s
)
{
Real
axial_strain
=
increment
*
s
;
applyDisplacement
(
model
,
axial_strain
);
model
.
solveStep
();
computeStrainOnQuadPoints
(
model
,
phase
,
_not_ghost
);
phase
.
solveStep
();
computeDamageOnQuadPoints
(
model
,
phase
,
_not_ghost
);
model
.
assembleInternalForces
();
analytical_damage
=
axial_strain
*
axial_strain
*
c22
/
(
gc
/
l0
+
axial_strain
*
axial_strain
*
c22
);
analytical_sigma
=
c22
*
axial_strain
*
(
1
-
analytical_damage
)
*
(
1
-
analytical_damage
);
error_stress
=
std
::
abs
(
analytical_sigma
-
stress
(
0
,
3
))
/
analytical_sigma
;
error_damage
=
std
::
abs
(
analytical_damage
-
damage
(
0
))
/
analytical_damage
;
if
(
error_damage
>
1e-8
and
error_stress
>
1e-8
)
{
return
EXIT_FAILURE
;
}
os
<<
axial_strain
<<
" "
<<
stress
(
0
,
3
)
<<
" "
<<
damage
(
0
)
<<
" "
<<
analytical_sigma
<<
" "
<<
analytical_damage
<<
" "
<<
error_stress
<<
" "
<<
error_damage
<<
std
::
endl
;
model
.
dump
();
}
os
.
close
();
finalize
();
return
EXIT_SUCCESS
;
}
/* -------------------------------------------------------------------------- */
void
applyDisplacement
(
SolidMechanicsModel
&
model
,
Real
&
increment
)
{
auto
&
displacement
=
model
.
getDisplacement
();
auto
&
positions
=
model
.
getMesh
().
getNodes
();
auto
&
blocked_dofs
=
model
.
getBlockedDOFs
();
for
(
UInt
n
=
0
;
n
<
model
.
getMesh
().
getNbNodes
();
++
n
)
{
if
(
positions
(
n
,
1
)
==
-
0.5
)
{
displacement
(
n
,
0
)
=
0
;
displacement
(
n
,
1
)
=
0
;
blocked_dofs
(
n
,
0
)
=
true
;
blocked_dofs
(
n
,
1
)
=
true
;
}
else
{
displacement
(
n
,
0
)
=
0
;
displacement
(
n
,
1
)
=
increment
;
blocked_dofs
(
n
,
0
)
=
true
;
blocked_dofs
(
n
,
1
)
=
true
;
}
}
}
/* -------------------------------------------------------------------------- */
void
computeStrainOnQuadPoints
(
SolidMechanicsModel
&
solid
,
PhaseFieldModel
&
phase
,
const
GhostType
&
ghost_type
)
{
auto
&
mesh
=
solid
.
getMesh
();
auto
nb_materials
=
solid
.
getNbMaterials
();
auto
nb_phasefields
=
phase
.
getNbPhaseFields
();
AKANTU_DEBUG_ASSERT
(
nb_phasefields
==
nb_materials
,
"The number of phasefields and materials should be equal"
);
for
(
auto
index
:
arange
(
nb_materials
))
{
auto
&
material
=
solid
.
getMaterial
(
index
);
for
(
auto
index2
:
arange
(
nb_phasefields
))
{
auto
&
phasefield
=
phase
.
getPhaseField
(
index2
);
if
(
phasefield
.
getName
()
==
material
.
getName
())
{
auto
&
strain_on_qpoints
=
phasefield
.
getStrain
();
auto
&
gradu_on_qpoints
=
material
.
getGradU
();
for
(
auto
&
type
:
mesh
.
elementTypes
(
spatial_dimension
,
ghost_type
))
{
auto
&
strain_on_qpoints_vect
=
strain_on_qpoints
(
type
,
ghost_type
);
auto
&
gradu_on_qpoints_vect
=
gradu_on_qpoints
(
type
,
ghost_type
);
for
(
auto
&&
values
:
zip
(
make_view
(
strain_on_qpoints_vect
,
spatial_dimension
,
spatial_dimension
),
make_view
(
gradu_on_qpoints_vect
,
spatial_dimension
,
spatial_dimension
)))
{
auto
&
strain
=
std
::
get
<
0
>
(
values
);
auto
&
grad_u
=
std
::
get
<
1
>
(
values
);
gradUToEpsilon
(
grad_u
,
strain
);
}
}
break
;
}
}
}
}
/* -------------------------------------------------------------------------- */
void
computeDamageOnQuadPoints
(
SolidMechanicsModel
&
solid
,
PhaseFieldModel
&
phase
,
const
GhostType
&
ghost_type
)
{
auto
&
fem
=
phase
.
getFEEngine
();
auto
&
mesh
=
phase
.
getMesh
();
auto
nb_materials
=
solid
.
getNbMaterials
();
auto
nb_phasefields
=
phase
.
getNbPhaseFields
();
AKANTU_DEBUG_ASSERT
(
nb_phasefields
==
nb_materials
,
"The number of phasefields and materials should be equal"
);
for
(
auto
index
:
arange
(
nb_materials
))
{
auto
&
material
=
solid
.
getMaterial
(
index
);
for
(
auto
index2
:
arange
(
nb_phasefields
))
{
auto
&
phasefield
=
phase
.
getPhaseField
(
index2
);
if
(
phasefield
.
getName
()
==
material
.
getName
())
{
switch
(
spatial_dimension
)
{
case
1
:
{
auto
&
mat
=
static_cast
<
MaterialPhaseField
<
1
>
&>
(
material
);
auto
&
solid_damage
=
mat
.
getDamage
();
for
(
auto
&
type
:
mesh
.
elementTypes
(
spatial_dimension
,
ghost_type
))
{
auto
&
damage_on_qpoints_vect
=
solid_damage
(
type
,
ghost_type
);
fem
.
interpolateOnIntegrationPoints
(
phase
.
getDamage
(),
damage_on_qpoints_vect
,
1
,
type
,
ghost_type
);
}
break
;
}
case
2
:
{
auto
&
mat
=
static_cast
<
MaterialPhaseField
<
2
>
&>
(
material
);
auto
&
solid_damage
=
mat
.
getDamage
();
for
(
auto
&
type
:
mesh
.
elementTypes
(
spatial_dimension
,
ghost_type
))
{
auto
&
damage_on_qpoints_vect
=
solid_damage
(
type
,
ghost_type
);
fem
.
interpolateOnIntegrationPoints
(
phase
.
getDamage
(),
damage_on_qpoints_vect
,
1
,
type
,
ghost_type
);
}
break
;
}
default
:
break
;
}
}
}
}
}
/* -------------------------------------------------------------------------- */
void
gradUToEpsilon
(
const
Matrix
<
Real
>
&
grad_u
,
Matrix
<
Real
>
&
epsilon
)
{
for
(
UInt
i
=
0
;
i
<
spatial_dimension
;
++
i
)
{
for
(
UInt
j
=
0
;
j
<
spatial_dimension
;
++
j
)
epsilon
(
i
,
j
)
=
0.5
*
(
grad_u
(
i
,
j
)
+
grad_u
(
j
,
i
));
}
}
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