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material_phasefield_inline_impl.cc
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rAKA akantu
material_phasefield_inline_impl.cc
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/**
* @file material_phasefield_inline_impl.cc
*
* @author Mohit Pundir <mohit.pundir@epfl.ch>
*
* @date creation: Mon Dec 13 2010
* @date last modification: Fri Apr 02 2021
*
* @brief Implementation of the inline functions of the material phasefield
*
*
* @section LICENSE
*
* Copyright (©) 2010-2021 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/>.
*
*/
/* -------------------------------------------------------------------------- */
template
<
UInt
spatial_dimension
>
inline
void
MaterialPhaseField
<
spatial_dimension
>::
computeStressOnQuad
(
Matrix
<
Real
>
&
grad_u
,
Matrix
<
Real
>
&
sigma
,
Real
&
dam
)
{
MaterialElastic
<
spatial_dimension
>::
computeStressOnQuad
(
grad_u
,
sigma
);
Matrix
<
Real
>
strain
(
spatial_dimension
,
spatial_dimension
);
Matrix
<
Real
>
strain_plus
(
spatial_dimension
,
spatial_dimension
);
Matrix
<
Real
>
strain_minus
(
spatial_dimension
,
spatial_dimension
);
Matrix
<
Real
>
strain_dir
(
spatial_dimension
,
spatial_dimension
);
Matrix
<
Real
>
strain_diag_plus
(
spatial_dimension
,
spatial_dimension
);
Matrix
<
Real
>
strain_diag_minus
(
spatial_dimension
,
spatial_dimension
);
Vector
<
Real
>
strain_values
(
spatial_dimension
);
Real
trace_plus
,
trace_minus
;
this
->
template
gradUToEpsilon
<
spatial_dimension
>
(
grad_u
,
strain
);
strain
.
eig
(
strain_values
,
strain_dir
);
for
(
UInt
i
=
0
;
i
<
spatial_dimension
;
i
++
)
{
strain_diag_plus
(
i
,
i
)
=
std
::
max
(
Real
(
0.
),
strain_values
(
i
));
strain_diag_minus
(
i
,
i
)
=
std
::
min
(
Real
(
0.
),
strain_values
(
i
));
}
Matrix
<
Real
>
mat_tmp
(
spatial_dimension
,
spatial_dimension
);
Matrix
<
Real
>
sigma_plus
(
spatial_dimension
,
spatial_dimension
);
Matrix
<
Real
>
sigma_minus
(
spatial_dimension
,
spatial_dimension
);
mat_tmp
.
mul
<
false
,
true
>
(
strain_diag_plus
,
strain_dir
);
strain_plus
.
mul
<
false
,
false
>
(
strain_dir
,
mat_tmp
);
mat_tmp
.
mul
<
false
,
true
>
(
strain_diag_minus
,
strain_dir
);
strain_minus
.
mul
<
false
,
true
>
(
strain_dir
,
mat_tmp
);
trace_plus
=
std
::
max
(
Real
(
0.
),
strain
.
trace
());
trace_minus
=
std
::
min
(
Real
(
0.
),
strain
.
trace
());
Real
lambda
=
MaterialElastic
<
spatial_dimension
>::
getLambda
();
Real
mu
=
MaterialElastic
<
spatial_dimension
>::
getMu
();
for
(
UInt
i
=
0
;
i
<
spatial_dimension
;
i
++
)
{
for
(
UInt
j
=
0
;
j
<
spatial_dimension
;
j
++
)
{
sigma_plus
(
i
,
j
)
=
static_cast
<
double
>
(
i
==
j
)
*
lambda
*
trace_plus
+
2
*
mu
*
strain_plus
(
i
,
j
);
sigma_minus
(
i
,
j
)
=
static_cast
<
double
>
(
i
==
j
)
*
lambda
*
trace_minus
+
2
*
mu
*
strain_minus
(
i
,
j
);
}
}
// sigma = (1 - dam) * sigma_plus + sigma_minus;
sigma
*=
(
1
-
dam
)
*
(
1
-
dam
)
+
eta
;
}
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