Page Menu
Home
c4science
Search
Configure Global Search
Log In
Files
F69323486
ElementQuad4Planar.h
No One
Temporary
Actions
Download File
Edit File
Delete File
View Transforms
Subscribe
Mute Notifications
Award Token
Subscribers
None
File Metadata
Details
File Info
Storage
Attached
Created
Mon, Jul 1, 06:57
Size
4 KB
Mime Type
text/x-c++
Expires
Wed, Jul 3, 06:57 (1 d, 23 h)
Engine
blob
Format
Raw Data
Handle
18450278
Attached To
rGOOSEFEM GooseFEM
ElementQuad4Planar.h
View Options
/*
(c - GPLv3) T.W.J. de Geus (Tom) | tom@geus.me | www.geus.me | github.com/tdegeus/GooseFEM
*/
#ifndef GOOSEFEM_ELEMENTQUAD4PLANAR_H
#define GOOSEFEM_ELEMENTQUAD4PLANAR_H
#include "config.h"
namespace
GooseFEM
{
namespace
Element
{
namespace
Quad4
{
class
QuadraturePlanar
:
public
GooseFEM
::
Element
::
QuadratureBase
<
4
,
2
,
3
>
{
public:
// Fixed dimensions:
// ndim = 2 - number of dimensions
// nne = 4 - number of nodes per element
// tdim = 3 - number of dimensions of tensors
//
// Naming convention:
// "elemmat" - matrices stored per element - [nelem, nne*ndim, nne*ndim]
// "elemvec" - nodal vectors stored per element - [nelem, nne, ndim]
// "qtensor" - integration point tensor - [nelem, nip, tdim, tdim]
// "qscalar" - integration point scalar - [nelem, nip]
// Constructor: integration point coordinates and weights are optional (default: Gauss)
QuadraturePlanar
()
=
default
;
QuadraturePlanar
(
const
xt
::
xtensor
<
double
,
3
>&
x
,
double
thick
=
1.0
);
QuadraturePlanar
(
const
xt
::
xtensor
<
double
,
3
>&
x
,
const
xt
::
xtensor
<
double
,
2
>&
xi
,
const
xt
::
xtensor
<
double
,
1
>&
w
,
double
thick
=
1.0
);
// Update the nodal positions (shape of "x" should match the earlier definition)
void
update_x
(
const
xt
::
xtensor
<
double
,
3
>&
x
);
// Return shape function gradients
xt
::
xtensor
<
double
,
4
>
GradN
()
const
;
// Return integration volume
xt
::
xtensor
<
double
,
2
>
dV
()
const
;
// Dyadic product (and its transpose and symmetric part)
// qtensor(i,j) += dNdx(m,i) * elemvec(m,j)
void
gradN_vector
(
const
xt
::
xtensor
<
double
,
3
>&
elemvec
,
xt
::
xtensor
<
double
,
4
>&
qtensor
)
const
;
void
gradN_vector_T
(
const
xt
::
xtensor
<
double
,
3
>&
elemvec
,
xt
::
xtensor
<
double
,
4
>&
qtensor
)
const
;
void
symGradN_vector
(
const
xt
::
xtensor
<
double
,
3
>&
elemvec
,
xt
::
xtensor
<
double
,
4
>&
qtensor
)
const
;
// Integral of the scalar product
// elemmat(m*ndim+i,n*ndim+i) += N(m) * qscalar * N(n) * dV
void
int_N_scalar_NT_dV
(
const
xt
::
xtensor
<
double
,
2
>&
qscalar
,
xt
::
xtensor
<
double
,
3
>&
elemmat
)
const
;
// Integral of the dot product
// elemvec(m,j) += dNdx(m,i) * qtensor(i,j) * dV
void
int_gradN_dot_tensor2_dV
(
const
xt
::
xtensor
<
double
,
4
>&
qtensor
,
xt
::
xtensor
<
double
,
3
>&
elemvec
)
const
;
// Integral of the dot product
// elemmat(m*2+j, n*2+k) += dNdx(m,i) * qtensor(i,j,k,l) * dNdx(n,l) * dV
void
int_gradN_dot_tensor4_dot_gradNT_dV
(
const
xt
::
xtensor
<
double
,
6
>&
qtensor
,
xt
::
xtensor
<
double
,
3
>&
elemmat
)
const
;
// Auto-allocation of the functions above
xt
::
xtensor
<
double
,
4
>
GradN_vector
(
const
xt
::
xtensor
<
double
,
3
>&
elemvec
)
const
;
xt
::
xtensor
<
double
,
4
>
GradN_vector_T
(
const
xt
::
xtensor
<
double
,
3
>&
elemvec
)
const
;
xt
::
xtensor
<
double
,
4
>
SymGradN_vector
(
const
xt
::
xtensor
<
double
,
3
>&
elemvec
)
const
;
xt
::
xtensor
<
double
,
3
>
Int_N_scalar_NT_dV
(
const
xt
::
xtensor
<
double
,
2
>&
qscalar
)
const
;
xt
::
xtensor
<
double
,
3
>
Int_gradN_dot_tensor2_dV
(
const
xt
::
xtensor
<
double
,
4
>&
qtensor
)
const
;
xt
::
xtensor
<
double
,
3
>
Int_gradN_dot_tensor4_dot_gradNT_dV
(
const
xt
::
xtensor
<
double
,
6
>&
qtensor
)
const
;
private:
// Compute "vol" and "dNdx" based on current "x"
void
compute_dN
();
private:
xt
::
xtensor
<
double
,
3
>
m_x
;
// nodal positions stored per element [nelem, nne, ndim]
xt
::
xtensor
<
double
,
1
>
m_w
;
// weight of each integration point [nip]
xt
::
xtensor
<
double
,
2
>
m_xi
;
// local coordinate of each integration point [nip, ndim]
xt
::
xtensor
<
double
,
2
>
m_N
;
// shape functions [nip, nne]
xt
::
xtensor
<
double
,
3
>
m_dNxi
;
// shape function grad. wrt local coor. [nip, nne, ndim]
xt
::
xtensor
<
double
,
4
>
m_dNx
;
// shape function grad. wrt global coor. [nelem, nip, nne, ndim]
xt
::
xtensor
<
double
,
2
>
m_vol
;
// integration point volume [nelem, nip]
// Thickness
double
m_thick
;
};
}
// namespace Quad4
}
// namespace Element
}
// namespace GooseFEM
#include "ElementQuad4Planar.hpp"
#endif
Event Timeline
Log In to Comment