10. H modeling#
10.1. Characteristics of modeling#
Plane stress modeling with sub-integration: C_ PLAN_SI
Loading and boundary conditions are modelled by:
Dirichlet condition (keyword DDL_IMPO):
Node \(\mathrm{N04}\), \(x=y=0\),
Knots \(\mathrm{N02}\), \(\mathit{NS2}\) \(x=0\).
Neumann condition, surface forces (keyword FORCE_CONTOUR):
on the faces (skin elements): (1, 2), (2, 4), (4, 3) and (3, 1).
10.2. Characteristics of the mesh#
Number of knots: 8
Number of meshes and types: 1 QUAD8, 4 SEG3
10.3. Tested sizes and results#
10.3.1. Case of VMIS_ISOT_LINE#
Identification |
Reference type |
Reference value |
Tolerance |
\({\sigma }_{\mathrm{xx}}\) at the moment \(A\) |
“ANALYTIQUE” |
1,512E+002 |
|
\({\sigma }_{\mathrm{xy}}\) at the moment \(A\) |
“ANALYTIQUE” |
9,310E+001 |
|
\(p\) at the moment \(A\) |
“ANALYTIQUE” |
2.0547E-002 |
|
Triaxiality rate \(\mathit{TRIAX}\) at time \(A\) |
“ANALYTIQUE” |
2.2800E-001 |
|
\({\varepsilon }_{\mathrm{xx}}\) at the moment \(A\) |
“ANALYTIQUE” |
1.48297E-002 |
|
\({\varepsilon }_{\mathrm{xy}}\) at the moment \(A\) |
“ANALYTIQUE” |
1.36014E-002 |
|
Plastic indicator \(\mathit{V2}\) at the moment \(A\) |
“ANALYTIQUE” |
1.0 |
|
\(p\) at the moment \(B\) |
“ANALYTIQUE” |
4,23293E-002 |
|
Triaxiality rate \(\mathit{TRIAX}\) at time \(B\) |
“ANALYTIQUE” |
3.25349E-001 |
|
\({\varepsilon }_{\mathit{xx}}\) at the moment \(B\) |
“ANALYTIQUE” |
3,5265E-002 |
|
\({\mathrm{\epsilon }}_{\mathit{xy}}\) at the moment \(B\) |
“ANALYTIQUE” |
2,0471E-002 |
|
\({\mathrm{\epsilon }}_{\mathit{xx}}^{p}\) at the moment \(B\) |
“ANALYTIQUE” |
3,3946E-002 |
|
\({\mathrm{\epsilon }}_{\mathit{xy}}^{p}\) at the moment \(B\) |
“ANALYTIQUE” |
2,0250E-002 |
|
as well as the charge-discharge indicators:
Identification |
Reference Type |
Value |
Tolerance |
INDIC_ENER at the moment \(A\) |
“ANALYTIQUE” |
0 |
|
INDIC_ENER at the moment \(B\) |
“ANALYTIQUE” |
3,26E-002 |
|
INDIC_SEUIL at the moment \(A\) |
“ANALYTIQUE” |
0 |
|
INDIC_SEUIL at the moment \(B\) |
“ANALYTIQUE” |
3,26E-002 |
|
INDIC_ENER at the moment \(C\) (full discharge) |
“ANALYTIQUE” |
4,69E-002 |
|
INDIC_SEUIL at the moment \(B\) |
“ANALYTIQUE” |
9.71E-002 |
|
INDIC_SEUIL at time \(C\) (full discharge) |
“ANALYTIQUE” |
1.0 |
|
DERA_ELNO/RADI_Và the moment 0.1 |
“ANALYTIQUE” |
0.0 |
|
10.3.2. Case of VMIS_ECMI_LINE#
We calculate the energies during resolution and compare with case VMIS_ISOT_LINE:
Identification |
Reference Type |
Value |
Tolerance |
ETOT_ELGA/TOTALE at the moment 0.1 |
“AUTRE_ASTER” |
1.16403E-03 |
|
ETOT_ELGA/TOTALE at the moment 0.9 |
“AUTRE_ASTER” |
1.84340 |
|
ETOT_ELGA/TOTALE at the moment 2.0 |
“AUTRE_ASTER” |
9.58487 |
|
ETOT_ELGA/TOTALE at the moment 3.0 |
“AUTRE_ASTER” |
9.40794 |
|
ETOT_ELNO/TOTALE at the moment 0.1 |
“AUTRE_ASTER” |
1.16403E-03 |
|
ETOT_ELNO/TOTALE at the moment 0.9 |
“AUTRE_ASTER” |
1.84340 |
|
ETOT_ELNO/TOTALE at the moment 2.0 |
“AUTRE_ASTER” |
9.58487 |
|
ETOT_ELNO/TOTALE at the moment 3.0 |
“AUTRE_ASTER” |
9.40794 |
|
ETOT_ELEM/TOTALE at the moment 0.1 |
“AUTRE_ASTER” |
1.16403E-03 |
|
ETOT_ELEM/TOTALE at the moment 0.9 |
“AUTRE_ASTER” |
1.84340 |
|
ETOT_ELEM/TOTALE at the moment 2.0 |
“AUTRE_ASTER” |
9.58487 |
|
ETOT_ELEM/TOTALE at the moment 3.0 |
“AUTRE_ASTER” |
9.40794 |
|
We recalculate the energies by POST_ELEM and compare with the case VMIS_ISOT_LINE:
Identification |
Reference Type |
Value |
Tolerance |
ENER_TO2/TOTALE at the moment 0.1 |
“AUTRE_ASTER” |
1.16403E-03 |
|
ENER_TO2/TOTALE at the moment 0.9 |
“AUTRE_ASTER” |
1.84340 |
|
ENER_TO2/TOTALE at the moment 2.0 |
“AUTRE_ASTER” |
9.58487 |
|
ENER_TO2/TOTALE at the moment 3.0 |
“AUTRE_ASTER” |
9.40794 |
|
ENER_TO3/TOTALE at the moment 0.1 |
“AUTRE_ASTER” |
1.16403E-03 |
|
ENER_TO3/TOTALE at the moment 0.9 |
“AUTRE_ASTER” |
1.84340 |
|
ENER_TO3/TOTALE at the moment 2.0 |
“AUTRE_ASTER” |
9.58487 |
|
ENER_TO3/TOTALE at the moment 3.0 |
“AUTRE_ASTER” |
9.40794 |
|
ENER_TO4/TOTALE at the moment 0.1 |
“AUTRE_ASTER” |
1.16403E-03 |
|
ENER_TO4/TOTALE at the moment 0.9 |
“AUTRE_ASTER” |
1.84340 |
|
ENER_TO4/TOTALE at the moment 2.0 |
“AUTRE_ASTER” |
9.58487 |
|
ENER_TO4/TOTALE at the moment 3.0 |
“AUTRE_ASTER” |
9.40794 |
|
The charge-discharge indicators are validated:
Identification |
Reference Type |
Value |
Tolerance |
INDIC_ENER at the moment \(A\) |
“ANALYTIQUE” |
0 |
|
INDIC_ENER at the moment \(B\) |
“ANALYTIQUE” |
3,26E-002 |
|
INDIC_SEUIL at the moment \(A\) |
“ANALYTIQUE” |
0 |
|
INDIC_ENER at the moment \(C\) (full discharge) |
“ANALYTIQUE” |
4,69E-002 |
|
INDIC_SEUIL at the moment \(B\) |
“ANALYTIQUE” |
9.71E-002 |
|
INDIC_SEUIL at time \(C\) (full discharge) |
“ANALYTIQUE” |
1.0 |
|
DERA_ELNO/RADI_Và the moment 0.1 |
“ANALYTIQUE” |
0.0 |
|