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This is an archived project. Repository and other project resources are read-only.
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Ansgar Burchardt
dune-elasticity
Commits
86c702d5
Commit
86c702d5
authored
6 years ago
by
Jonathan Youett
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Remove redundant class
The normal material classes can now fulfill this purpuse
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4a335a72
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dune/elasticity/materials/adolcneohookeanmaterial.hh
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// -*- tab-width: 8; indent-tabs-mode: nil; c-basic-offset: 4 -*-
// vi: set ts=8 sw=4 et sts=4:
#ifndef DUNE_ELASTICITY_MATERIALS_ADOLC_NEO_HOOKEAN_MATERIAL_HH
#define DUNE_ELASTICITY_MATERIALS_ADOLC_NEO_HOOKEAN_MATERIAL_HH
#include
<dune/fufem/assemblers/localassemblers/adolclocalenergy.hh>
#include
<dune/fufem/quadraturerules/quadraturerulecache.hh>
#include
<dune/fufem/symmetrictensor.hh>
#include
<dune/fufem/functions/virtualgridfunction.hh>
#include
<dune/fufem/functions/basisgridfunction.hh>
#include
<dune/elasticity/materials/adolcmaterial.hh>
#include
<dune/elasticity/common/elasticityhelpers.hh>
#include
<dune/matrix-vector/addtodiagonal.hh>
/** \brief Class representing a hyperelastic Neo-hookian material.
*
* \tparam Basis Global basis that is used for the spatial discretization.
* (This is not nice but I need a LocalFiniteElement for the local Hessian assembler :-( )
*
* * Laursen:
* \f[
* W(u)= \frac{\lambda}4(J^2-1)-(\frac{\lambda}2+\mu)log(J)+\mu tr(E(u))
* \f]
*
* Fischer/Wriggers:
* \f[
* W(u)= \frac{\lambda}2(J-1)^2 - 2 \mu*log(J)+\mu tr(E(u))
* \f]
*
* where
* - \f$E\f$: the nonlinear strain tensor
* - \f$tr \f$: the trace operator
* - \f$J\f$ the determinant of the deformation gradient
* - \f$\lambda\f$,\f$\mu\f$ material parameters (first lame and shear modulus)
*/
template
<
class
GridType
,
class
LocalFiniteElement
>
class
LocalNeoHookeanEnergy
:
public
Adolc
::
LocalEnergy
<
GridType
,
LocalFiniteElement
,
GridType
::
dimension
>
{
public:
enum
{
dim
=
GridType
::
dimension
};
typedef
typename
GridType
::
ctype
ctype
;
typedef
typename
GridType
::
template
Codim
<
0
>
::
Entity
Element
;
typedef
typename
LocalFiniteElement
::
Traits
::
LocalBasisType
::
Traits
::
RangeFieldType
field_type
;
typedef
typename
LocalFiniteElement
::
Traits
::
LocalBasisType
::
Traits
::
JacobianType
JacobianType
;
typedef
Adolc
::
LocalEnergy
<
GridType
,
LocalFiniteElement
,
dim
>
Base
;
typedef
typename
Base
::
CoefficientVectorType
CoefficientVectorType
;
typedef
typename
Base
::
ReturnType
ReturnType
;
LocalNeoHookeanEnergy
()
=
default
;
LocalNeoHookeanEnergy
(
field_type
E
,
field_type
nu
)
{
lambda_
=
E
*
nu
/
((
1
+
nu
)
*
(
1
-
2
*
nu
));
mu_
=
E
/
(
2
*
(
1
+
nu
));
}
LocalNeoHookeanEnergy
&
operator
=
(
LocalNeoHookeanEnergy
&&
other
)
{
lambda_
=
other
.
lambda_
;
mu_
=
other
.
mu_
;
}
ReturnType
energy
(
const
Element
&
element
,
const
LocalFiniteElement
&
lfe
,
const
CoefficientVectorType
&
localCoeff
)
const
{
ReturnType
energy
=
0
;
// TODO Get proper quadrature rule
// get quadrature rule
const
int
order
=
(
element
.
type
().
isSimplex
())
?
4
:
4
*
dim
;
const
auto
&
quad
=
QuadratureRuleCache
<
ctype
,
dim
>::
rule
(
element
.
type
(),
order
,
IsRefinedLocalFiniteElement
<
LocalFiniteElement
>::
value
(
lfe
));
// the element geometry mapping
const
typename
Element
::
Geometry
geometry
=
element
.
geometry
();
// store gradients of shape functions and base functions
std
::
vector
<
JacobianType
>
referenceGradients
(
lfe
.
localBasis
().
size
());
// loop over quadrature points
for
(
size_t
pt
=
0
;
pt
<
quad
.
size
();
++
pt
)
{
// get quadrature point
const
auto
&
quadPos
=
quad
[
pt
].
position
();
// get transposed inverse of Jacobian of transformation
const
auto
&
invJacobian
=
geometry
.
jacobianInverseTransposed
(
quadPos
);
// get integration factor
const
ctype
integrationElement
=
geometry
.
integrationElement
(
quadPos
);
// get gradients of shape functions
lfe
.
localBasis
().
evaluateJacobian
(
quadPos
,
referenceGradients
);
// compute gradient of the configuration
Dune
::
FieldMatrix
<
ReturnType
,
dim
,
dim
>
localGradient
(
0
);
for
(
size_t
k
=
0
;
k
<
referenceGradients
.
size
();
++
k
)
{
Dune
::
FieldVector
<
ReturnType
,
dim
>
gradient
(
0
);
invJacobian
.
umv
(
referenceGradients
[
k
][
0
],
gradient
);
for
(
int
i
=
0
;
i
<
dim
;
++
i
)
for
(
int
j
=
0
;
j
<
dim
;
++
j
)
localGradient
[
i
][
j
]
+=
localCoeff
[
k
][
i
]
*
gradient
[
j
];
}
SymmetricTensor
<
dim
,
ReturnType
>
strain
(
0.0
);
Dune
::
Elasticity
::
strain
(
localGradient
,
strain
);
// turn displacement gradient into deformation gradient
Dune
::
MatrixVector
::
addToDiagonal
(
localGradient
,
1.0
);
// evaluate the derminante of the deformation gradient
const
ReturnType
J
=
localGradient
.
determinant
();
ReturnType
z
=
quad
[
pt
].
weight
()
*
integrationElement
;
#ifdef LAURSEN
energy
+=
z
*
(
0.25
*
lambda_
*
(
J
*
J
-
1
)
-
(
lambda_
*
0.5
+
mu_
)
*
std
::
log
(
J
)
+
mu_
*
strain
.
trace
());
#else
energy
+=
z
*
(
0.5
*
lambda_
*
(
J
-
1
)
*
(
J
-
1
)
-
2
*
mu_
*
std
::
log
(
J
)
+
mu_
*
strain
.
trace
());
#endif
}
return
energy
;
}
private
:
//! First Lame constant
field_type
lambda_
;
//! Second Lame constant
field_type
mu_
;
};
template
<
class
Basis
>
class
AdolcNeoHookeanMaterial
:
public
AdolcMaterial
<
Basis
>
{
public:
typedef
AdolcMaterial
<
Basis
>
Base
;
typedef
typename
Base
::
GridType
GridType
;
typedef
typename
Base
::
GlobalBasis
GlobalBasis
;
typedef
typename
Base
::
Lfe
Lfe
;
typedef
typename
Base
::
LocalLinearization
LocalLinearization
;
typedef
typename
Base
::
LocalHessian
LocalHessian
;
typedef
typename
Base
::
VectorType
VectorType
;
typedef
typename
Base
::
GridFunction
GridFunction
;
typedef
typename
Base
::
ReturnType
ReturnType
;
typedef
LocalNeoHookeanEnergy
<
GridType
,
Lfe
>
LocalEnergy
;
using
Base
::
dim
;
AdolcNeoHookeanMaterial
()
=
default
;
template
<
class
BasisT
>
AdolcNeoHookeanMaterial
(
BasisT
&&
basis
,
ReturnType
E
,
ReturnType
nu
,
bool
vectorMode
=
true
)
:
localEnergy_
(
E
,
nu
)
{
Base
::
setup
(
std
::
forward
<
BasisT
>
(
basis
),
localEnergy_
,
vectorMode
);
}
template
<
class
BasisT
>
void
setup
(
BasisT
&&
basis
,
ReturnType
E
,
ReturnType
nu
,
bool
vectorMode
=
true
)
{
localEnergy_
=
LocalEnergy
(
E
,
nu
);
Base
::
setup
(
std
::
forward
<
BasisT
>
(
basis
),
localEnergy_
,
vectorMode
);
}
using
Base
::
energy
;
private
:
LocalEnergy
localEnergy_
;
};
#endif
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