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rMUSPECTRE µSpectre
material_hyper_elastic1.hh
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/**
* file material_hyper_elastic1.hh
*
* @author Till Junge <till.junge@epfl.ch>
*
* @date 13 Nov 2017
*
* @brief Implementation for hyperelastic reference material like in de Geus
* 2017. This follows the simplest and likely not most efficient
* implementation (with exception of the Python law)
*
* @section LICENCE
*
* Copyright © 2017 Till Junge
*
* µSpectre is free software; you can redistribute it and/or
* modify it under the terms of the GNU General Public License as
* published by the Free Software Foundation, either version 3, or (at
* your option) any later version.
*
* µSpectre 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
* General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with GNU Emacs; see the file COPYING. If not, write to the
* Free Software Foundation, Inc., 59 Temple Place - Suite 330,
* Boston, MA 02111-1307, USA.
*/
#ifndef MATERIAL_HYPER_ELASTIC1_H
#define MATERIAL_HYPER_ELASTIC1_H
#include "common/common.hh"
#include "materials/material_muSpectre_base.hh"
namespace
muSpectre
{
template
<
Dim_t
DimS
,
Dim_t
DimM
>
class
MaterialHyperElastic1
;
template
<
Dim_t
DimS
,
Dim_t
DimM
>
struct
MaterialMuSpectre_traits
<
MaterialHyperElastic1
<
DimS
,
DimM
>>:
public
MaterialMuSpectre_traits
<
void
>
{
using
Parent
=
MaterialMuSpectre_traits
<
void
>
;
using
InternalVariables
=
typename
Parent
::
DefaultInternalVariables
;
};
//! DimS spatial dimension (dimension of problem
//! DimM material_dimension (dimension of constitutive law)
template
<
Dim_t
DimS
,
Dim_t
DimM
>
class
MaterialHyperElastic1
:
public
MaterialMuSpectre
<
MaterialHyperElastic1
<
DimS
,
DimM
>
,
DimS
,
DimM
>
{
public
:
using
Parent
=
MaterialMuSpectre
<
MaterialHyperElastic1
,
DimS
,
DimM
>
;
using
NeedTangent
=
typename
Parent
::
NeedTangent
;
using
GFieldCollection_t
=
typename
Parent
::
GFieldCollection_t
;
// declare what type of strain measure your law takes as input
constexpr
static
auto
strain_measure
{
StrainMeasure
::
GreenLagrange
};
// declare what type of stress measure your law yields as output
constexpr
static
auto
stress_measure
{
StressMeasure
::
PK2
};
// declare whether the derivative of stress with respect to strain is uniform
constexpr
static
bool
uniform_stiffness
=
true
;
// declare the type in which you wish to receive your strain measure
using
StrainMap_t
=
MatrixFieldMap
<
GFieldCollection_t
,
Real
,
DimM
,
DimM
,
true
>
;
using
StressMap_t
=
MatrixFieldMap
<
GFieldCollection_t
,
Real
,
DimM
,
DimM
>
;
using
TangentMap_t
=
T4MatrixFieldMap
<
GFieldCollection_t
,
Real
,
DimM
>
;
using
Strain_t
=
typename
StrainMap_t
::
const_reference
;
using
Stress_t
=
typename
StressMap_t
::
reference
;
using
Tangent_t
=
typename
TangentMap_t
::
reference
;
using
Stiffness_t
=
Eigen
::
TensorFixedSize
<
Real
,
Eigen
::
Sizes
<
DimM
,
DimM
,
DimM
,
DimM
>>
;
using
InternalVariables
=
typename
Parent
::
DefaultInternalVariables
;
//! Default constructor
MaterialHyperElastic1
()
=
delete
;
//! Copy constructor
MaterialHyperElastic1
(
const
MaterialHyperElastic1
&
other
)
=
delete
;
//! Construct by name, Young's modulus and Poisson's ratio
MaterialHyperElastic1
(
std
::
string
name
,
Real
young
,
Real
poisson
);
//! Move constructor
MaterialHyperElastic1
(
MaterialHyperElastic1
&&
other
)
noexcept
=
delete
;
//! Destructor
virtual
~
MaterialHyperElastic1
()
noexcept
=
default
;
//! Copy assignment operator
MaterialHyperElastic1
&
operator
=
(
const
MaterialHyperElastic1
&
other
)
=
delete
;
//! Move assignment operator
MaterialHyperElastic1
&
operator
=
(
MaterialHyperElastic1
&&
other
)
noexcept
=
delete
;
template
<
class
s_t
>
inline
decltype
(
auto
)
evaluate_stress
(
s_t
&&
E
);
template
<
class
s_t
>
inline
decltype
(
auto
)
evaluate_stress_tangent
(
s_t
&&
E
);
const
Tangent_t
&
get_stiffness
()
const
;
protected
:
const
Real
young
,
poisson
,
lambda
,
mu
;
const
Stiffness_t
C
;
private
:
};
/* ---------------------------------------------------------------------- */
template
<
Dim_t
DimS
,
Dim_t
DimM
>
template
<
class
s_t
>
decltype
(
auto
)
MaterialHyperElastic1
<
DimS
,
DimM
>::
evaluate_stress
(
s_t
&&
E
)
{
return
E
.
trace
()
*
lambda
*
Strain_t
::
Identity
()
+
2
*
mu
*
E
;
}
/* ---------------------------------------------------------------------- */
template
<
Dim_t
DimS
,
Dim_t
DimM
>
template
<
class
s_t
>
decltype
(
auto
)
MaterialHyperElastic1
<
DimS
,
DimM
>::
evaluate_stress_tangent
(
s_t
&&
E
)
{
return
std
::
make_tuple
(
std
::
move
(
this
->
evaluate_stress
(
std
::
move
(
E
))),
std
::
move
(
Tangent_t
(
const_cast
<
double
*>
(
this
->
C
.
data
()))));
}
}
// muSpectre
#endif
/* MATERIAL_HYPER_ELASTIC1_H */
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