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manual_partition.cpp
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Thu, Jun 6, 21:26
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4 KB
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Sat, Jun 8, 21:26 (2 d)
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rGOOSEFEM GooseFEM
manual_partition.cpp
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#include <GMatElastic/Cartesian3d.h>
#include <GooseFEM/GooseFEM.h>
#include <GooseFEM/MatrixPartitioned.h>
#include <highfive/H5Easy.hpp>
int
main
()
{
// mesh
// ----
// define mesh
GooseFEM
::
Mesh
::
Quad4
::
Regular
mesh
(
5
,
5
);
// mesh dimensions
size_t
nelem
=
mesh
.
nelem
();
size_t
nne
=
mesh
.
nne
();
size_t
ndim
=
mesh
.
ndim
();
// mesh definitions
xt
::
xtensor
<
double
,
2
>
coor
=
mesh
.
coor
();
xt
::
xtensor
<
size_t
,
2
>
conn
=
mesh
.
conn
();
xt
::
xtensor
<
size_t
,
2
>
dofs
=
mesh
.
dofs
();
// node sets
xt
::
xtensor
<
size_t
,
1
>
nodesLft
=
mesh
.
nodesLeftEdge
();
xt
::
xtensor
<
size_t
,
1
>
nodesRgt
=
mesh
.
nodesRightEdge
();
xt
::
xtensor
<
size_t
,
1
>
nodesTop
=
mesh
.
nodesTopEdge
();
xt
::
xtensor
<
size_t
,
1
>
nodesBot
=
mesh
.
nodesBottomEdge
();
// fixed displacements DOFs
// ------------------------
xt
::
xtensor
<
size_t
,
1
>
iip
=
xt
::
concatenate
(
xt
::
xtuple
(
xt
::
view
(
dofs
,
xt
::
keep
(
nodesRgt
),
0
),
xt
::
view
(
dofs
,
xt
::
keep
(
nodesTop
),
1
),
xt
::
view
(
dofs
,
xt
::
keep
(
nodesLft
),
0
),
xt
::
view
(
dofs
,
xt
::
keep
(
nodesBot
),
1
)));
// simulation variables
// --------------------
// vector definition
GooseFEM
::
VectorPartitioned
vector
(
conn
,
dofs
,
iip
);
// allocate system matrix
GooseFEM
::
MatrixPartitioned
K
(
conn
,
dofs
,
iip
);
GooseFEM
::
MatrixPartitionedSolver
<>
Solver
;
// nodal quantities
xt
::
xtensor
<
double
,
2
>
disp
=
xt
::
zeros
<
double
>
(
coor
.
shape
());
xt
::
xtensor
<
double
,
2
>
fint
=
xt
::
zeros
<
double
>
(
coor
.
shape
());
xt
::
xtensor
<
double
,
2
>
fext
=
xt
::
zeros
<
double
>
(
coor
.
shape
());
xt
::
xtensor
<
double
,
2
>
fres
=
xt
::
zeros
<
double
>
(
coor
.
shape
());
// DOF values
xt
::
xtensor
<
double
,
1
>
u_u
=
xt
::
zeros
<
double
>
({
vector
.
nnu
()});
xt
::
xtensor
<
double
,
1
>
fres_u
=
xt
::
zeros
<
double
>
({
vector
.
nnu
()});
xt
::
xtensor
<
double
,
1
>
fext_p
=
xt
::
zeros
<
double
>
({
vector
.
nnp
()});
// element vectors
xt
::
xtensor
<
double
,
3
>
ue
=
xt
::
empty
<
double
>
({
nelem
,
nne
,
ndim
});
xt
::
xtensor
<
double
,
3
>
fe
=
xt
::
empty
<
double
>
({
nelem
,
nne
,
ndim
});
xt
::
xtensor
<
double
,
3
>
Ke
=
xt
::
empty
<
double
>
({
nelem
,
nne
*
ndim
,
nne
*
ndim
});
// element/material definition
// ---------------------------
// element definition
GooseFEM
::
Element
::
Quad4
::
QuadraturePlanar
elem
(
vector
.
AsElement
(
coor
));
size_t
nip
=
elem
.
nip
();
// material definition
GMatElastic
::
Cartesian3d
::
Array
<
2
>
mat
({
nelem
,
nip
},
1.0
,
1.0
);
// integration point tensors
xt
::
xtensor
<
double
,
4
>
Eps
=
xt
::
empty
<
double
>
({
nelem
,
nip
,
3ul
,
3ul
});
xt
::
xtensor
<
double
,
4
>
Sig
=
xt
::
empty
<
double
>
({
nelem
,
nip
,
3ul
,
3ul
});
xt
::
xtensor
<
double
,
6
>
C
=
xt
::
empty
<
double
>
({
nelem
,
nip
,
3ul
,
3ul
,
3ul
,
3ul
});
// solve
// -----
// strain
vector
.
asElement
(
disp
,
ue
);
elem
.
symGradN_vector
(
ue
,
Eps
);
// stress & tangent
mat
.
setStrain
(
Eps
);
mat
.
stress
(
Sig
);
mat
.
tangent
(
C
);
// internal force
elem
.
int_gradN_dot_tensor2_dV
(
Sig
,
fe
);
vector
.
assembleNode
(
fe
,
fint
);
// stiffness matrix
elem
.
int_gradN_dot_tensor4_dot_gradNT_dV
(
C
,
Ke
);
K
.
assemble
(
Ke
);
// set fixed displacements
xt
::
xtensor
<
double
,
1
>
u_p
=
xt
::
concatenate
(
xt
::
xtuple
(
+
0.1
*
xt
::
ones
<
double
>
({
nodesRgt
.
size
()}),
-
0.1
*
xt
::
ones
<
double
>
({
nodesTop
.
size
()}),
xt
::
zeros
<
double
>
({
nodesLft
.
size
()}),
xt
::
zeros
<
double
>
({
nodesBot
.
size
()})));
// residual
xt
::
noalias
(
fres
)
=
fext
-
fint
;
// partition
vector
.
asDofs_u
(
fres
,
fres_u
);
// solve
Solver
.
solve_u
(
K
,
fres_u
,
u_p
,
u_u
);
// assemble to nodal vector
vector
.
nodeFromPartitioned
(
u_u
,
u_p
,
disp
);
// post-process
// ------------
// compute strain and stress
vector
.
asElement
(
disp
,
ue
);
elem
.
symGradN_vector
(
ue
,
Eps
);
mat
.
setStrain
(
Eps
);
mat
.
stress
(
Sig
);
// internal force
elem
.
int_gradN_dot_tensor2_dV
(
Sig
,
fe
);
vector
.
assembleNode
(
fe
,
fint
);
// apply reaction force
vector
.
asDofs_p
(
fint
,
fext_p
);
// residual
xt
::
noalias
(
fres
)
=
fext
-
fint
;
// partition
vector
.
asDofs_u
(
fres
,
fres_u
);
// print residual
std
::
cout
<<
xt
::
sum
(
xt
::
abs
(
fres_u
))[
0
]
/
xt
::
sum
(
xt
::
abs
(
fext_p
))[
0
]
<<
std
::
endl
;
// average stress per node
xt
::
xtensor
<
double
,
4
>
dV
=
elem
.
AsTensor
<
2
>
(
elem
.
dV
());
xt
::
xtensor
<
double
,
3
>
SigAv
=
xt
::
average
(
Sig
,
dV
,
{
1
});
// write output
H5Easy
::
File
file
(
"output.h5"
,
H5Easy
::
File
::
Overwrite
);
H5Easy
::
dump
(
file
,
"/coor"
,
coor
);
H5Easy
::
dump
(
file
,
"/conn"
,
conn
);
H5Easy
::
dump
(
file
,
"/disp"
,
disp
);
H5Easy
::
dump
(
file
,
"/Sig"
,
SigAv
);
return
0
;
}
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