10. H modeling

10.1. Characteristics of modeling

It is the same modeling as the F model, but in 3D. The junctions are constructed in the same way.

10.2. Characteristics of the mesh

The mesh, identical to that of modeling C, is represented in FIG. 5.2-a.

10.3. Tested sizes and results

The movements at the level of the crack lips are tested after having carried out the post-treatment operations relating to \(\text{X-FEM}\) (POST_MAIL_XFEM and POST_CHAM_XFEM). The DX displacement should follow function \({u}_{x}\) in equation 2.2-7. The displacement DY should follow function \({u}_{y}\) in equation 2.2-8. The DZ displacement should follow function \({u}_{z}\) in equation 2.2-9.

Identification		Reference	% tolerance	5.0
DEPZON_1	DX- \({u}_{x}\)	MIN	0
		MAX	0	5.0
	DY- \({u}_{y}\)	MIN	0	5.0
		MAX	0	5.0
	DZ- \({u}_{z}\)	MIN	0	5.0
		MAX	0	5.0
DEPZON_2	DX- \({u}_{x}\)	MIN	0	5.0
		MAX	0	5.0
	DY- \({u}_{y}\)	MIN	0	5.0
		MAX	0	5.0
	DZ- \({u}_{z}\)	MIN	0	5.0
		MAX	0	5.0
DEPZON_3	DX- \({u}_{x}\)	MIN	0	5.0
		MAX	0	5.0
	DY- \({u}_{y}\)	MIN	0	5.0
		MAX	0	5.0
	DZ- \({u}_{z}\)	MIN	0	5.0
		MAX	0	5.0
DEPZON_4	DX- \({u}_{x}\)	MIN	0	5.0
		MAX	0	5.0
	DY- \({u}_{y}\)	MIN	0	5.0
		MAX	0	5.0
	DZ- \({u}_{z}\)	MIN	0	5.0
		MAX	0	5.0

Table 10.3-1

The deformation is shown in Figure 10.4-a.

Figure 10.4-a: Deformed structure (Exaggeration 10).

We test the value of \({E}^{e}\) produced by the POST_ERREUR operator (expressed in \(\text{J}\)).

Identification	Reference type	Reference value
Ee	“ANALYTIQUE”	2, 2106

We test the value of \({\Vert u\Vert }_{{L}^{2}}\) produced by the POST_ERREUR operator.

10.4. notes

The remarks are identical to those specified for the F model.