3. Modeling A#
3.1. Characteristics of modeling#
Shell element DKT (quarter plate modeling)
3.1.1. Boundary conditions#
in all the nodes of the arc \(\mathrm{ABC}\) |
: |
DX: 0. , BY: 0. , Z: 0. |
in all the nodes in segment \(\left]\mathrm{OA}\right[\) |
: |
DY: 0. , DRX :0. , DRZ :0. |
in all the nodes in segment \(\left]\mathrm{OC}\right[\) |
: |
DX: 0. , DRY :0. , DRZ :0. |
to node \(O\) |
: |
DX: 0. , BY: 0. , DRX :0. , DRY :0. , DRZ :0. |
Point \(O\) |
stitches: \(\mathrm{M30}\mathrm{M33}\) |
Point \(A\) |
stitches: \(\mathrm{M76}\) |
Point \(B\) |
stitches: \(\mathrm{M39}\mathrm{M40}\mathrm{M51}\) |
Point \(C\) |
stitches: \(\mathrm{M1}\) |
Point \(D\) |
stitches: \(\mathrm{M55}\mathrm{M56}\mathrm{M65}\) |
Point \(E\) |
stitches: \(\mathrm{M8}\mathrm{M17}\mathrm{M18}\) |
Point \(F\) |
stitches: \(\mathit{M34}\mathit{M35}\mathit{M37}\mathit{M41}\mathit{M46}\mathit{M47}\mathit{M48}\) |
3.2. Characteristics of the mesh#
Number of knots: 50
Number of meshes and types: 76 TRIA3
3.3. Tested sizes and results#
The parameters of the result data structure are tested:
Identification |
Reference Type |
Reference Value |
INSTpour NUME_ORDRE =3 |
“ANALYTIQUE” |
0.6 |
INSTpour NUME_ORDRE =4 |
|
1 |
Identification |
Reference type |
Reference values |
O |
“ANALYTIQUE” |
— 695.6256 |
D |
“ANALYTIQUE” |
—489,727 |
E |
“ANALYTIQUE” |
—489,727 |
F |
“ANALYTIQUE” |
— 435.8974 |
Identification |
Reference type |
Reference values |
Tolerance |
|
O |
|
“ANALYTIQUE” |
—0.20625 |
1.5% |
|
“ANALYTIQUE” |
—0.20625 |
1.5% |
|
A |
|
“ANALYTIQUE” |
0.01 |
|
|
“ANALYTIQUE” |
—0.0875 |
6% |
|
B |
|
“ANALYTIQUE” |
—0.04375 |
13% |
|
“ANALYTIQUE” |
—0.04375 |
14% |
|
C |
|
“ANALYTIQUE” |
—0.0875 |
6% |
|
“ANALYTIQUE” |
0.01 |
||
D |
|
“ANALYTIQUE” |
—0.15469 |
0.5% |
|
“ANALYTIQUE” |
—0.17656 |
0.5% |
|
E |
|
“ANALYTIQUE” |
—0.15469 |
0.3% |
|
“ANALYTIQUE” |
—0.17656 |
0.3% |
|
F |
|
“ANALYTIQUE” |
—0.14025 |
10% |
|
“ANALYTIQUE” |
—0.16825 |
10% |
|
Elastic energy
Identification |
Reference type |
Reference values |
Tolerance % |
|||
Size |
Knot |
Mesh |
||||
ENEL_ELNO |
\(\mathit{TOTALE}\) |
N2 |
M1 |
“NON_DEFINI” |
94.237 |
0.1 |
\(\mathit{MEMBRANE}\) |
“NON_DEFINI” |
0.0 |
0.1 |
|||
\(\mathit{FLEXION}\) |
“NON_DEFINI” |
93.112 |
0.1 |
|||
\(\mathit{CISAILLE}\) |
“NON_DEFINI” |
1.125 |
0.1 |
|||
\(\mathit{COUPL}\text{\_}\mathit{MF}\) |
“NON_DEFINI” |
0.0 |
0.1 |
|||
Identification |
Reference type |
Reference values |
Tolerance % |
|||
Size |
Point |
Mesh |
||||
ENEL_ELGA |
\(\mathit{TOTALE}\) |
1 |
M1 |
“NON_DEFINI” |
77.080 |
0.1 |
\(\mathit{MEMBRANE}\) |
“NON_DEFINI” |
0.0 |
0.1 |
|||
\(\mathit{FLEXION}\) |
“NON_DEFINI” |
75.955 |
0.1 |
|||
\(\mathit{CISAILLE}\) |
“NON_DEFINI” |
1.1248 |
0.1 |
|||
\(\mathit{COUPL}\text{\_}\mathit{MF}\) |
“NON_DEFINI” |
0.0 |
0.1 |
|||
Identification |
Reference type |
Reference values |
Tolerance % |
||
Size |
Mesh |
||||
ENEL_ELEM |
\(\mathit{TOTALE}\) |
M1 |
“NON_DEFINI” |
0.781 |
0.1 |
\(\mathit{MEMBRANE}\) |
“NON_DEFINI” |
0.0 |
0.1 |
||
\(\mathit{FLEXION}\) |
“NON_DEFINI” |
0.767 |
0.1 |
||
\(\mathit{CISAILLE}\) |
“NON_DEFINI” |
0.015 |
0.1 |
||
\(\mathit{COUPL}\text{\_}\mathit{MF}\) |
“NON_DEFINI” |
0.0 |
0.1 |
||
We also test in non-regression:
the different components of elastic energy in the case of a calculation with MECA_STATIQUE,
the VMIS component of SIEQ_ELNO.