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rMUSPECTRE µSpectre
material_linear_elastic4.hh
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/**
* @file material_linear_elastic4.hh
*
* @author Richard Leute <richard.leute@imtek.uni-freiburg.de>
*
* @date 15 March 2018
*
* @brief linear elastic material with distribution of stiffness properties.
* In difference to material_linear_elastic3 two Lame constants are
* stored per pixel instead of the whole elastic matrix C.
* Uses the MaterialMuSpectre facilities to keep it simple.
*
* Copyright © 2018 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_LINEAR_ELASTIC_RANDOM_STIFFNESS_2_H
#define MATERIAL_LINEAR_ELASTIC_RANDOM_STIFFNESS_2_H
#include "materials/material_linear_elastic1.hh"
#include "common/field.hh"
#include "common/tensor_algebra.hh"
#include <Eigen/Dense>
namespace
muSpectre
{
template
<
Dim_t
DimS
,
Dim_t
DimM
>
class
MaterialLinearElastic4
;
/**
* traits for objective linear elasticity with eigenstrain
*/
template
<
Dim_t
DimS
,
Dim_t
DimM
>
struct
MaterialMuSpectre_traits
<
MaterialLinearElastic4
<
DimS
,
DimM
>>
{
//! global field collection
using
GFieldCollection_t
=
typename
MaterialBase
<
DimS
,
DimM
>::
GFieldCollection_t
;
//! expected map type for strain fields
using
StrainMap_t
=
MatrixFieldMap
<
GFieldCollection_t
,
Real
,
DimM
,
DimM
,
true
>
;
//! expected map type for stress fields
using
StressMap_t
=
MatrixFieldMap
<
GFieldCollection_t
,
Real
,
DimM
,
DimM
>
;
//! expected map type for tangent stiffness fields
using
TangentMap_t
=
T4MatrixFieldMap
<
GFieldCollection_t
,
Real
,
DimM
>
;
//! 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
};
//! local field_collections used for internals
using
LFieldColl_t
=
LocalFieldCollection
<
DimS
>
;
//! local Lame constant type
using
LLameConstantMap_t
=
ScalarFieldMap
<
LFieldColl_t
,
Real
,
true
>
;
//! elasticity without internal variables
using
InternalVariables
=
std
::
tuple
<
LLameConstantMap_t
,
LLameConstantMap_t
>
;
};
/**
* implements objective linear elasticity with an eigenstrain per pixel
*/
template
<
Dim_t
DimS
,
Dim_t
DimM
>
class
MaterialLinearElastic4
:
public
MaterialMuSpectre
<
MaterialLinearElastic4
<
DimS
,
DimM
>
,
DimS
,
DimM
>
{
public
:
//! base class
using
Parent
=
MaterialMuSpectre
<
MaterialLinearElastic4
,
DimS
,
DimM
>
;
/**
* type used to determine whether the
* `muSpectre::MaterialMuSpectre::iterable_proxy` evaluate only
* stresses or also tangent stiffnesses
*/
using
NeedTangent
=
typename
Parent
::
NeedTangent
;
//! global field collection
using
Stiffness_t
=
Eigen
::
TensorFixedSize
<
Real
,
Eigen
::
Sizes
<
DimM
,
DimM
,
DimM
,
DimM
>>
;
//! traits of this material
using
traits
=
MaterialMuSpectre_traits
<
MaterialLinearElastic4
>
;
//! Type of container used for storing eigenstrain
using
InternalVariables
=
typename
traits
::
InternalVariables
;
//! Hooke's law implementation
using
Hooke
=
typename
MatTB
::
Hooke
<
DimM
,
typename
traits
::
StrainMap_t
::
reference
,
typename
traits
::
TangentMap_t
::
reference
>
;
//! Default constructor
MaterialLinearElastic4
()
=
delete
;
//! Construct by name
MaterialLinearElastic4
(
std
::
string
name
);
//! Copy constructor
MaterialLinearElastic4
(
const
MaterialLinearElastic4
&
other
)
=
delete
;
//! Move constructor
MaterialLinearElastic4
(
MaterialLinearElastic4
&&
other
)
=
delete
;
//! Destructor
virtual
~
MaterialLinearElastic4
()
=
default
;
//! Copy assignment operator
MaterialLinearElastic4
&
operator
=
(
const
MaterialLinearElastic4
&
other
)
=
delete
;
//! Move assignment operator
MaterialLinearElastic4
&
operator
=
(
MaterialLinearElastic4
&&
other
)
=
delete
;
/**
* evaluates second Piola-Kirchhoff stress given the Green-Lagrange
* strain (or Cauchy stress if called with a small strain tensor), the first
* Lame constant (lambda) and the second Lame constant (shear modulus/mu).
*/
template
<
class
s_t
>
inline
decltype
(
auto
)
evaluate_stress
(
s_t
&&
E
,
const
Real
&
lambda
,
const
Real
&
mu
);
/**
* evaluates both second Piola-Kirchhoff stress and stiffness given
* the Green-Lagrange strain (or Cauchy stress and stiffness if
* called with a small strain tensor), the first Lame constant (lambda) and
* the second Lame constant (shear modulus/mu).
*/
template
<
class
s_t
>
inline
decltype
(
auto
)
evaluate_stress_tangent
(
s_t
&&
E
,
const
Real
&
lambda
,
const
Real
&
mu
);
/**
* return the empty internals tuple
*/
InternalVariables
&
get_internals
()
{
return
this
->
internal_variables
;};
/**
* overload add_pixel to write into loacal stiffness tensor
*/
void
add_pixel
(
const
Ccoord_t
<
DimS
>
&
pixel
)
override
final
;
/**
* overload add_pixel to write into local stiffness tensor
*/
void
add_pixel
(
const
Ccoord_t
<
DimS
>
&
pixel
,
const
Real
&
Poisson_ratio
,
const
Real
&
Youngs_modulus
);
protected
:
//! storage for first Lame constant 'lambda'
//! and second Lame constant(shear modulus) 'mu'
using
Field_t
=
MatrixField
<
LocalFieldCollection
<
DimS
>
,
Real
,
oneD
,
oneD
>
;
Field_t
&
lambda_field
;
Field_t
&
mu_field
;
//! tuple for iterable eigen_field
InternalVariables
internal_variables
;
private
:
};
/* ---------------------------------------------------------------------- */
template
<
Dim_t
DimS
,
Dim_t
DimM
>
template
<
class
s_t
>
decltype
(
auto
)
MaterialLinearElastic4
<
DimS
,
DimM
>::
evaluate_stress
(
s_t
&&
E
,
const
Real
&
lambda
,
const
Real
&
mu
)
{
auto
C
=
Hooke
::
compute_C_T4
(
lambda
,
mu
);
return
Matrices
::
tensmult
(
C
,
E
);
}
/* ---------------------------------------------------------------------- */
template
<
Dim_t
DimS
,
Dim_t
DimM
>
template
<
class
s_t
>
decltype
(
auto
)
MaterialLinearElastic4
<
DimS
,
DimM
>::
evaluate_stress_tangent
(
s_t
&&
E
,
const
Real
&
lambda
,
const
Real
&
mu
)
{
auto
C
=
Hooke
::
compute_C_T4
(
lambda
,
mu
);
return
std
::
make_tuple
(
Matrices
::
tensmult
(
C
,
E
),
C
);
}
}
// muSpectre
#endif
/* MATERIAL_LINEAR_ELASTIC_RANDOM_STIFFNESS_2_H */
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