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test_cohesive_friction.cc
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rAKA akantu
test_cohesive_friction.cc
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/**
* @file test_cohesive_friction.cc
*
* @author Mauro Corrado <mauro.corrado@epfl.ch>
*
* @date creation: Thu Jan 14 2016
* @date last modification: Tue Feb 20 2018
*
* @brief testing the correct behavior of the friction law included in
* the cohesive linear law, in implicit
*
*
* Copyright (©) 2015-2018 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 "solid_mechanics_model_cohesive.hh"
/* -------------------------------------------------------------------------- */
#include <cmath>
#include <fstream>
#include <iomanip>
#include <iostream>
#include <string>
#include <time.h>
/* -------------------------------------------------------------------------- */
using
namespace
akantu
;
int
main
(
int
argc
,
char
*
argv
[])
{
initialize
(
"material.dat"
,
argc
,
argv
);
Math
::
setTolerance
(
1.e-15
);
UInt
spatial_dimension
=
2
;
const
ElementType
type
=
_cohesive_2d_4
;
Mesh
mesh
(
spatial_dimension
);
mesh
.
read
(
"mesh_cohesive_friction.msh"
);
// Create the model
SolidMechanicsModelCohesive
model
(
mesh
);
// Model initialization
model
.
initFull
(
SolidMechanicsModelCohesiveOptions
(
_static
,
true
));
// CohesiveElementInserter inserter(mesh);
model
.
limitInsertion
(
_y
,
-
0.001
,
0.001
);
model
.
updateAutomaticInsertion
();
Real
eps
=
1e-10
;
Array
<
Real
>
&
pos
=
mesh
.
getNodes
();
Array
<
Real
>
&
disp
=
model
.
getDisplacement
();
Array
<
bool
>
&
boun
=
model
.
getBlockedDOFs
();
const
Array
<
Real
>
&
residual
=
model
.
getInternalForce
();
Array
<
Real
>
&
cohe_opening
=
const_cast
<
Array
<
Real
>
&>
(
model
.
getMaterial
(
"interface"
).
getInternal
<
Real
>
(
"opening"
)(
type
));
Array
<
Real
>
&
friction_force
=
const_cast
<
Array
<
Real
>
&>
(
model
.
getMaterial
(
"interface"
).
getInternal
<
Real
>
(
"friction_force"
)(
type
));
// Boundary conditions
for
(
UInt
i
=
0
;
i
<
mesh
.
getNbNodes
();
++
i
)
{
if
(
pos
(
i
,
1
)
<
-
0.49
||
pos
(
i
,
1
)
>
0.49
)
{
boun
(
i
,
0
)
=
true
;
boun
(
i
,
1
)
=
true
;
}
}
bool
passed
=
true
;
Real
tolerance
=
1e-13
;
Real
error
;
bool
load_reduction
=
false
;
Real
tol_increase_factor
=
1e5
;
Real
increment
=
1.0e-4
;
model
.
synchronizeBoundaries
();
model
.
updateResidual
();
/* -------------------------------------------- */
/* LOADING PHASE to introduce cohesive elements */
/* -------------------------------------------- */
for
(
UInt
nstep
=
0
;
nstep
<
100
;
++
nstep
)
{
for
(
UInt
n
=
0
;
n
<
mesh
.
getNbNodes
();
++
n
)
{
if
(
pos
(
n
,
1
)
>
0.49
)
disp
(
n
,
1
)
+=
increment
;
}
model
.
solveStepCohesive
<
_scm_newton_raphson_tangent
,
SolveConvergenceCriteria
::
_increment
>
(
tolerance
,
error
,
25
,
load_reduction
,
tol_increase_factor
);
if
(
error
>
tolerance
)
{
AKANTU_ERROR
(
"Convergence not reached in the mode I loading phase"
);
passed
=
false
;
}
}
/* --------------------------------------------------------- */
/* UNLOADING PHASE to bring cohesive elements in compression */
/* --------------------------------------------------------- */
for
(
UInt
nstep
=
0
;
nstep
<
110
;
++
nstep
)
{
for
(
UInt
n
=
0
;
n
<
mesh
.
getNbNodes
();
++
n
)
{
if
(
pos
(
n
,
1
)
>
0.49
)
disp
(
n
,
1
)
-=
increment
;
}
model
.
solveStepCohesive
<
_scm_newton_raphson_tangent
,
SolveConvergenceCriteria
::
_increment
>
(
tolerance
,
error
,
25
,
load_reduction
,
tol_increase_factor
);
if
(
error
>
tolerance
)
{
AKANTU_ERROR
(
"Convergence not reached in the mode I unloading phase"
);
passed
=
false
;
}
}
/* -------------------------------------------------- */
/* SHEAR PHASE - displacement towards right */
/* -------------------------------------------------- */
increment
*=
2
;
for
(
UInt
nstep
=
0
;
nstep
<
30
;
++
nstep
)
{
for
(
UInt
n
=
0
;
n
<
mesh
.
getNbNodes
();
++
n
)
{
if
(
pos
(
n
,
1
)
>
0.49
)
disp
(
n
,
0
)
+=
increment
;
}
model
.
solveStepCohesive
<
_scm_newton_raphson_tangent
,
SolveConvergenceCriteria
::
_increment
>
(
tolerance
,
error
,
25
,
load_reduction
,
tol_increase_factor
);
if
(
error
>
tolerance
)
{
AKANTU_ERROR
(
"Convergence not reached in the shear loading phase"
);
passed
=
false
;
}
}
/* ---------------------------------------------------*/
/* Check the horizontal component of the reaction */
/* ---------------------------------------------------*/
// Friction + mode II cohesive behavior
Real
reac_X
=
0.
;
for
(
UInt
i
=
0
;
i
<
mesh
.
getNbNodes
();
++
i
)
{
if
(
pos
(
i
,
1
)
>
0.49
)
reac_X
+=
residual
(
i
,
0
);
}
if
(
std
::
abs
(
reac_X
-
(
-
13.987451183762181
))
>
eps
)
passed
=
false
;
// Only friction
Real
friction
=
friction_force
(
0
,
0
)
+
friction_force
(
1
,
0
);
if
(
std
::
abs
(
friction
-
(
-
12.517967866999832
))
>
eps
)
passed
=
false
;
/* -------------------------------------------------- */
/* SHEAR PHASE - displacement back to zero */
/* -------------------------------------------------- */
for
(
UInt
nstep
=
0
;
nstep
<
30
;
++
nstep
)
{
for
(
UInt
n
=
0
;
n
<
mesh
.
getNbNodes
();
++
n
)
{
if
(
pos
(
n
,
1
)
>
0.49
)
disp
(
n
,
0
)
-=
increment
;
}
model
.
solveStepCohesive
<
_scm_newton_raphson_tangent
,
SolveConvergenceCriteria
::
_increment
>
(
tolerance
,
error
,
25
,
load_reduction
,
tol_increase_factor
);
if
(
error
>
tolerance
)
{
AKANTU_ERROR
(
"Convergence not reached in the shear unloading phase"
);
passed
=
false
;
}
}
/* ------------------------------------------------------- */
/* Check the horizontal component of the reaction and */
/* the residual relative sliding in the cohesive elements */
/* ------------------------------------------------------- */
// Friction + mode II cohesive behavior
reac_X
=
0.
;
for
(
UInt
i
=
0
;
i
<
mesh
.
getNbNodes
();
++
i
)
{
if
(
pos
(
i
,
1
)
>
0.49
)
reac_X
+=
residual
(
i
,
0
);
}
if
(
std
::
abs
(
reac_X
-
12.400313187122208
)
>
eps
)
passed
=
false
;
// Only friction
friction
=
0.
;
friction
=
friction_force
(
0
,
0
)
+
friction_force
(
1
,
0
);
if
(
std
::
abs
(
friction
-
12.523300983293165
)
>
eps
)
passed
=
false
;
// Residual sliding
Real
sliding
[
2
];
sliding
[
0
]
=
cohe_opening
(
0
,
0
);
sliding
[
1
]
=
cohe_opening
(
1
,
0
);
if
(
std
::
abs
(
sliding
[
0
]
-
(
-
0.00044246686809147357
))
>
eps
)
passed
=
false
;
if
(
passed
)
return
EXIT_SUCCESS
;
else
return
EXIT_FAILURE
;
finalize
();
return
EXIT_SUCCESS
;
}
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