9. G modeling#

9.1. Characteristics of modeling#

It is the same modeling as the F modeling, but with plane constraints, C_ PLAN. The junctions are constructed in the same way.

9.2. Characteristics of the mesh#

The mesh, identical to that of modeling B, is represented in FIG. 4.2-a.

9.3. 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.

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

Table 9.3-1

The deformation is shown in Figure 9.4-a.

Figure 9.4-a: Deformed structure (Exaggeration 10).

We test the value of \({E}^{e}\) produced by the POST_ERREUR operator (expressed in \(\text{J}\times {\text{m}}^{-1}\)).

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.

9.4. notes#

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