5. D modeling

In this modeling, the linear elements of modeling A have been replaced by quadratic elements. Everything else is the same.

5.1. Characteristics of the mesh

These are the same modeling characteristics as for modeling A but we transformed the linear element mesh into a quadratic element mesh using the CREA_MAILLAGE/LINE_QUAD command. The structure is thus meshed with hexahedra with 20 knots.

5.2. Tested features

These are the same tested functionalities as those of modeling A.

5.3. Tested sizes and results

The POST_MAIL_XFEM operator makes it possible to mesh the cracks represented by the X- FEM method. The operator POST_CHAM_XFEM then makes it possible to export the results X- FEM to this new mesh. These two operators should only be used after the calculation in post-processing views. They allow nodes to be generated just below and above the interface and to show their movements.

For each lateral face of the structure (\(y=0\) and \(y=\mathrm{LY}\)), we test the movements of the nodes located just above and just below the level set.

5.3.1. Compression loading (pressure loading)

Identification	Reference
\(\mathrm{DY}\) for all nodes on the left surface located just below the interface	10-6
\(\mathrm{DY}\) for all nodes on the left surface located just above the interface	10-6
\(\mathrm{DY}\) for all nodes on the right surface located just below the interface	-10-6
\(\mathrm{DY}\) for all nodes on the right surface located just above the interface	-10-6

5.3.2. Compression loading/traction (pressure loading)

Identification	Reference
\(\mathrm{DY}\) for all nodes on the left surface located just below the interface	-10-6
\(\mathrm{DY}\) for all nodes on the left surface located just above the interface	10-6
\(\mathrm{DY}\) for all nodes on the right surface located just below the interface	10-6
\(\mathrm{DY}\) for all nodes on the right surface located just above the interface	-10-6

5.3.3. Compression loading (surface force loading)

Identification	Reference
\(\mathrm{DY}\) for all nodes on the left surface located just below the interface	10-6
\(\mathrm{DY}\) for all nodes on the left surface located just above the interface	10-6
\(\mathrm{DY}\) for all nodes on the right surface located just below the interface	-10-6
\(\mathrm{DY}\) for all nodes on the right surface located just above the interface	-10-6

5.3.4. Compression/tensile loading (surface force loading)

Identification	Reference
\(\mathrm{DY}\) for all nodes on the left surface located just below the interface	-10-6
\(\mathrm{DY}\) for all nodes on the left surface located just above the interface	10-6
\(\mathrm{DY}\) for all nodes on the right surface located just below the interface	10-6
\(\mathrm{DY}\) for all nodes on the right surface located just above the interface	-10-6

To test all the nodes at once, we test the MIN and the MAX of the column.