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phasefield_exponential.hh
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rAKA akantu
phasefield_exponential.hh
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/**
* @file phasefield_exponential.hh
*
* @author Mohit Pundir <mohit.pundir@epfl.ch>
*
* @date creation: Fri Jun 18 2020
* @date last modification: Mon Jan 29 2020
*
* @brief Phasefield exponential
*
* @section LICENSE
*
* Copyright (©) 2010-2018 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 "aka_common.hh"
#include "phasefield.hh"
/* -------------------------------------------------------------------------- */
#ifndef __AKANTU_PHASEFIELD_EXPONENTIAL_HH__
#define __AKANTU_PHASEFIELD_EXPONENTIAL_HH__
namespace
akantu
{
class
PhaseFieldExponential
:
public
PhaseField
{
/* ------------------------------------------------------------------------ */
/* Constructors/Destructors */
/* ------------------------------------------------------------------------ */
public
:
PhaseFieldExponential
(
PhaseFieldModel
&
model
,
const
ID
&
id
=
""
);
~
PhaseFieldExponential
()
override
=
default
;
/* ------------------------------------------------------------------------ */
/* Methods */
/* ------------------------------------------------------------------------ */
protected
:
void
computePhiOnQuad
(
const
Matrix
<
Real
>
&
,
Real
&
,
Real
&
);
void
computeDrivingForce
(
const
ElementType
&
,
GhostType
)
override
;
inline
void
computeDrivingForceOnQuad
(
const
Real
&
,
Real
&
);
inline
void
computeDamageEnergyDensityOnQuad
(
const
Real
&
,
Real
&
);
public
:
void
updateInternalParameters
()
override
;
};
/* -------------------------------------------------------------------------- */
inline
void
PhaseFieldExponential
::
computeDrivingForceOnQuad
(
const
Real
&
phi_quad
,
Real
&
driving_force_quad
){
driving_force_quad
=
2.0
*
phi_quad
;
}
/* -------------------------------------------------------------------------- */
inline
void
PhaseFieldExponential
::
computeDamageEnergyDensityOnQuad
(
const
Real
&
phi_quad
,
Real
&
dam_energy_quad
)
{
dam_energy_quad
=
2.0
*
phi_quad
+
this
->
g_c
/
this
->
l0
;
}
/* -------------------------------------------------------------------------- */
inline
void
PhaseFieldExponential
::
computePhiOnQuad
(
const
Matrix
<
Real
>
&
strain_quad
,
Real
&
phi_quad
,
Real
&
phi_hist_quad
)
{
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
;
strain_plus
.
clear
();
strain_minus
.
clear
();
strain_dir
.
clear
();
strain_values
.
clear
();
strain_diag_plus
.
clear
();
strain_diag_minus
.
clear
();
strain_quad
.
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_quad
.
trace
());
trace_minus
=
std
::
min
(
Real
(
0.
),
strain_quad
.
trace
());
for
(
UInt
i
=
0
;
i
<
spatial_dimension
;
i
++
)
{
for
(
UInt
j
=
0
;
j
<
spatial_dimension
;
j
++
)
{
sigma_plus
(
i
,
j
)
=
(
i
==
j
)
*
lambda
*
trace_plus
+
2
*
mu
*
strain_plus
(
i
,
j
);
sigma_minus
(
i
,
j
)
=
(
i
==
j
)
*
lambda
*
trace_minus
+
2
*
mu
*
strain_minus
(
i
,
j
);
}
}
phi_quad
=
0.5
*
sigma_plus
.
doubleDot
(
strain_quad
);
if
(
phi_quad
<
phi_hist_quad
)
phi_quad
=
phi_hist_quad
;
}
}
#endif
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