5. C modeling#
5.1. Characteristics of modeling#
2D modeling in plane deformations. This modeling corresponds to case 1 of the documentation [U2.04.06]: excavation without support with initialization of the constraints by calling CREA_CHAMP and deconfinement using a single model and a « flexible » material for the excavated area. This modeling will therefore give different results since there are no supports. The analytical solution is here provided by equation (1).
The mesh is the same as for modeling A.
5.2. Calculation process#
The objective of this test case is to test a method. The following table shows the main steps that structure the command file.
Orders |
Reviews |
STAT_NON_LINE |
Initialization of geostatic constraints |
CREA_CHAMP |
Constraint recovery initialized |
STAT_NON_LINE |
Blocking the nodes in the gallery to calculate the nodal reactions to be injected to simulate deconfinement |
CREA_CHAMP |
Recovery of nodal reactions |
STAT_NON_LINE |
Reinjecting nodal reactions |
5.3. Tested sizes and results#
After the installation of the coating (final moment), the components \({\sigma }_{\mathrm{xx}}\) and \({\sigma }_{\mathit{yy}}\) are tested at the nodes \(\mathrm{N2}\) and \(\mathrm{N6}\) as well as the radial displacement at these points (\(\mathrm{DX}\) for \(\mathrm{N2}\), \(\mathrm{DY}\) for \(\mathit{N6}\)).
Reference |
Aster |
Difference (%) |
|
Knot \(\mathrm{N2}\) |
|||
|
-10.106 |
-1,013.106 |
1.13 |
\(\mathrm{DX}\) |
-2,4000.10-3 |
-2,4375.10-3 |
1.54 |
Knot \(\mathrm{N6}\) |
|||
|
-10.106 |
-9,89,106 |
1.13 |
\(\mathrm{DY}\) |
-2,478.10-3 |
-2,4375.10-3 |
1.66 |