7. E modeling

7.1. Characteristics of modeling

It is the same modeling as modeling A.

7.2. Characteristics of the mesh

The mesh, which comprises 25 cells of the QUAD4 type, is represented in FIG. 7.2-a. The mesh is less refined than that of modeling A, so that some elements see the two horizontal cracks.

Figure 7.2-a: The modeling mesh E.

7.3. Features tested

As for the other models, the vertical crack connects to the two horizontal cracks, but some elements see the 3 cracks.

Even if it is possible to connect crack 3 to cracks 1 and 2, it is not possible locally i.e. the algorithm put in place can only attach crack 3 to one other crack within the same element: there is therefore confusion between cracks 1 and 2.

To solve this problem, the user is forced to link crack 2 to crack 1 using the JONCTION keyword in DEFI_FISS_XFEM. Fissure 3 will therefore be explicitly linked to crack 2, which is linked to the first. Fissure 3 will therefore also be implicitly linked to the first.

7.4. Tested sizes and results

The quantities tested are identical to those used for modeling A.

Identification		Reference	% tolerance
DEPZON_1	DX	MIN	-0.25	1.00E-11
		MAX	-0.25	1.00E-11
	DY	MIN	0	1.00E-11
		MAX	0	1.00E-11
DEPZON_2	DX	MIN	-0.5	1.00E-11
		MAX	-0.5	1.00E-11
	DY	MIN	0	1.00E-11
		MAX	0	1.00E-11
DEPZON_3	DX	MIN	0.75	1.00E-11
		MAX	0.75	1.00E-11
	DY	MIN	0	1.00E-11
		MAX	0	1.00E-11
DEPZON_4	DX	MIN	0.75	1.00E-11
		MAX	0.75	1.00E-11
	DY	MIN	0	1.00E-11
		MAX	0	1.00E-11

Table 7.4-1

The deformation is represented in FIG. 7.4-a.

Figure 7.4-a: Deformed structure.

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

Identification	Reference type	Reference value
Ee	“ANALYTIQUE”	0

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

7.5. notes

The remarks are identical to those specified for modeling A.