8. F modeling#

8.1. Characteristics of modeling#

It is the same modeling as modeling E, but with plane constraints. The intersection is constructed in the same way.

8.2. Characteristics of the mesh#

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

8.3. 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 deformation shown in FIG. 7.4-a is obtained.

Identification

Reference

0

DEPZON_1

DX- \({u}_{x}\)

MIN

MAX

0

DY- \({u}_{y}\)

MIN

0

MAX

0

DEPZON_2

DX- \({u}_{x}\)

MIN

0

MAX

0

DY- \({u}_{y}\)

MIN

0

MAX

0

DEPZON_3

DX- \({u}_{x}\)

MIN

0

MAX

0

DY- \({u}_{y}\)

MIN

0

MAX

0

DEPZON_4

DX- \({u}_{x}\)

MIN

0

MAX

0

DY- \({u}_{y}\)

MIN

0

MAX

0

Table 8.3-1

The deformation is shown in Figure 8.4-a.

_images/1000000000000312000002827155F606701B9A58.jpg

Figure 8.4-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”

1,825106

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

8.4. notes#

The remarks are identical to those formulated for modeling E.