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test_material_cohesive_linear.cc
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rAKA akantu
test_material_cohesive_linear.cc
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/**
* @file test_material_cohesive_linear.cc
*
* @author Nicolas Richart
*
* @date creation Tue Feb 20 2018
*
* @brief Test material cohesive linear
*
* @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 "test_material_cohesive_fixture.hh"
/* -------------------------------------------------------------------------- */
#include "material_cohesive_linear.hh"
/* -------------------------------------------------------------------------- */
template
<
UInt
dim
>
struct
TestMaterialCohesiveLinear
:
public
TestMaterialCohesive
<
MaterialCohesiveLinear
,
dim
>
{
TestMaterialCohesiveLinear
(
SolidMechanicsModel
&
model
)
:
TestMaterialCohesive
<
MaterialCohesiveLinear
,
dim
>
(
model
)
{}
void
SetUp
()
override
{
this
->
is_extrinsic
=
true
;
this
->
beta
=
2.
;
this
->
kappa
=
2
;
this
->
G_c
=
10.
;
this
->
sigma_c_
=
1e6
;
this
->
penalty
=
1e11
;
this
->
delta_c_
=
2.
*
this
->
G_c
/
this
->
sigma_c_
;
}
void
resetInternal
()
override
{
normal_opening
=
Vector
<
Real
>
(
dim
,
0.
);
tangential_opening
=
Vector
<
Real
>
(
dim
,
0.
);
contact_traction
=
Vector
<
Real
>
(
dim
,
0.
);
contact_opening
=
Vector
<
Real
>
(
dim
,
0.
);
}
void
computeTractions
(
Array
<
Real
>
&
openings
,
const
Vector
<
Real
>
&
normal
,
Array
<
Real
>
&
tractions
)
override
{
for
(
auto
&&
data
:
zip
(
make_view
(
openings
,
dim
),
make_view
(
tractions
,
dim
)))
{
auto
&
opening
=
std
::
get
<
0
>
(
data
);
auto
&
traction
=
std
::
get
<
1
>
(
data
);
this
->
computeTractionOnQuad
(
traction
,
opening
,
normal
,
delta_max
,
this
->
delta_c_
,
this
->
insertion_stress_
,
this
->
sigma_c_
,
normal_opening
,
tangential_opening
,
normal_opening_norm
,
tangential_opening_norm
,
damage
,
penetration
,
contact_traction
,
contact_opening
);
opening
+=
contact_opening
;
traction
+=
contact_traction
;
}
}
Real
delta
(
const
Vector
<
Real
>
&
opening
,
const
Vector
<
Real
>
&
normal
)
{
auto
beta
=
this
->
beta
;
auto
kappa
=
this
->
kappa
;
auto
normal_opening
=
opening
.
dot
(
normal
)
*
normal
;
auto
tangential_opening
=
opening
-
normal_opening
;
return
std
::
sqrt
(
std
::
pow
(
normal_opening
.
norm
(),
2
)
+
std
::
pow
(
tangential_opening
.
norm
()
*
beta
/
kappa
,
2
));
}
Vector
<
Real
>
traction
(
const
Vector
<
Real
>
&
opening
,
const
Vector
<
Real
>
&
normal
)
{
auto
delta_c
=
this
->
delta_c_
;
auto
sigma_c
=
this
->
sigma_c_
;
auto
beta
=
this
->
beta
;
auto
kappa
=
this
->
kappa
;
auto
normal_opening
=
opening
.
dot
(
normal
)
*
normal
;
auto
tangential_opening
=
opening
-
normal_opening
;
auto
delta_
=
this
->
delta
(
opening
,
normal
);
if
(
delta_
<
1e-16
)
{
return
this
->
insertion_stress_
;
}
if
(
opening
.
dot
(
normal
)
/
delta_c
<
-
Math
::
getTolerance
())
{
ADD_FAILURE
()
<<
"This is contact"
;
return
Vector
<
Real
>
(
dim
,
0.
);
}
auto
T
=
sigma_c
*
(
delta_c
-
delta_
)
/
delta_c
/
delta_
*
(
normal_opening
+
tangential_opening
*
beta
*
beta
/
kappa
);
return
T
;
}
Vector
<
Real
>
tractionModeI
(
const
Vector
<
Real
>
&
opening
,
const
Vector
<
Real
>
&
normal
)
{
return
traction
(
opening
,
normal
);
}
Vector
<
Real
>
tractionModeII
(
const
Vector
<
Real
>
&
opening
,
const
Vector
<
Real
>
&
normal
)
{
return
traction
(
opening
,
normal
);
}
public
:
Real
delta_c_
{
0
};
Real
delta_max
{
0.
};
Real
normal_opening_norm
{
0
};
Real
tangential_opening_norm
{
0
};
Real
damage
{
0
};
bool
penetration
{
false
};
Vector
<
Real
>
normal_opening
;
Vector
<
Real
>
tangential_opening
;
Vector
<
Real
>
contact_traction
;
Vector
<
Real
>
contact_opening
;
};
template
<
typename
dim_
>
using
TestMaterialCohesiveLinearFixture
=
TestMaterialCohesiveFixture
<
TestMaterialCohesiveLinear
,
dim_
>
;
using
types
=
gtest_list_t
<
TestAllDimensions
>
;
TYPED_TEST_CASE
(
TestMaterialCohesiveLinearFixture
,
types
);
TYPED_TEST
(
TestMaterialCohesiveLinearFixture
,
ModeI
)
{
this
->
checkModeI
(
this
->
material
->
delta_c_
,
this
->
material
->
get
(
"G_c"
));
}
TYPED_TEST
(
TestMaterialCohesiveLinearFixture
,
ModeII
)
{
this
->
checkModeII
(
this
->
material
->
delta_c_
);
}
TYPED_TEST
(
TestMaterialCohesiveLinearFixture
,
Cycles
)
{
auto
delta_c
=
this
->
material
->
delta_c_
;
auto
sigma_c
=
this
->
material
->
sigma_c_
;
this
->
material
->
insertion_stress_
=
this
->
normal
*
sigma_c
;
this
->
addOpening
(
this
->
normal
,
0
,
0.1
*
delta_c
,
100
);
this
->
addOpening
(
this
->
normal
,
0.1
*
delta_c
,
0.
,
100
);
this
->
addOpening
(
this
->
normal
,
0.
,
0.5
*
delta_c
,
100
);
this
->
addOpening
(
this
->
normal
,
0.5
*
delta_c
,
-
1.e-5
,
100
);
this
->
addOpening
(
this
->
normal
,
-
1.e-5
,
0.9
*
delta_c
,
100
);
this
->
addOpening
(
this
->
normal
,
0.9
*
delta_c
,
0.
,
100
);
this
->
addOpening
(
this
->
normal
,
0.
,
delta_c
,
100
);
this
->
material
->
computeTractions
(
*
this
->
openings
,
this
->
normal
,
*
this
->
tractions
);
Real
penalty
=
this
->
material
->
get
(
"penalty"
);
std
::
cout
<<
penalty
<<
std
::
endl
;
Real
G_c
=
this
->
material
->
get
(
"G_c"
);
EXPECT_NEAR
(
G_c
,
this
->
dissipated
(),
1e-3
);
this
->
output_csv
();
}
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