11. J modeling

This modeling is exactly the same as modeling B. The only difference is that the finite elements used are quadratic elements instead of linear elements.

11.1. Tested sizes and results

The displacement values are tested after convergence of the iterations of the operator STAT_NON_LINE. We check that we find the values determined in [§ 3.3] for the 2 load cases.

The following table is obtained for the first loading case.

Identification	Reference	Tolerance
\(\mathit{DX}\) for all nodes just below the interface	0.00	1.0E-16
\(\mathit{DY}\) for all nodes just below the interface	0.00	1.0E-16
\(\mathit{DZ}\) for all nodes just below the interface	0.00	1.0E-16
\(\mathit{DX}\) for all nodes just above the interface	0.00	1.0E-16
\(\mathit{DY}\) for all nodes just above the interface	0.00	1.0E-16
\(\mathit{DZ}\) for all nodes just above the interface	1.0E-6	1.0E -9%

The following table is obtained for the 2nd load case.

Identification	Reference	Tolerance
\(\mathit{DX}\) for all nodes just below the interface	0.00	1.0E-16
\(\mathit{DY}\) for all nodes just below the interface	0.00	1.0E-16
\(\mathit{DZ}\) for all nodes just below the interface	0.00	1.0E-16
\(\mathit{DX}\) for all nodes just above the interface	1.0E-6	1.0E -9%
\(\mathit{DY}\) for all nodes just above the interface	2.0E-6	1.0E -9%
\(\mathit{DZ}\) for all nodes just above the interface	3.0E-6	1.0E -9%

To test all the nodes at once, we test the MINIMUM and the MAXIMUM of the column.

We also test the values of the displacement from the command POST_CHAM_XFEM. We are in fact testing the value of the sum of the absolute values of the movements of the nodes of the cracked mesh. It is a non-regression test compared to the values obtained with version 8.2.13 for \(\mathit{DX}\) and 9.0.21 for \(\mathit{DY}\)

Identification	Reference	Tolerance
SOMM_ABS (DX)	0.000	1.0E-12
SOMM_ABS (DY)	1.3E-05	1.0E -04%