4. B modeling

4.1. Characteristics of modeling

This is a D_ PLAN modeling using quadratic XFEM elements. The bar on which the modeling is performed is divided into 5 QUAD8. The interface is unmeshed and cuts off the center element in \(Y={L}_{d}=\frac{13\ast \mathit{LY}}{25}\). We have 3 XFEM elements and 2 classic elements.

4.2. Characteristics of the mesh

The mesh is identical to that of modeling A, except that it is quadratic. It is composed of 5 QUAD8.

4.3. Tested sizes and results

The results (resolution with STAT_NON_LINE) are summarized in the table below for the \(y\) direction. We test the following \(y\) movement of the interface nodes.

Quantities tested	Reference type	Reference value	Tolerance (%)
DY (below) MIN	“ANALYTIQUE”	-2.6E-02	0.001
DY (above) MAX	“ANALYTIQUE”	2.4E-02	0.001

We also test the displacement along \(x\) of the two interface nodes located on the [BC] side and respectively on the lower and upper lip of the crack.

Quantities tested	Reference type	Reference value	Tolerance (%)
DX (below [BC] side)	“ANALYTIQUE”	6.76E-02	0.001
DX (top side [BC])	“ANALYTIQUE”	-5.76E-02	0.001

The displacement field is presented in the direction \(y\) (Figure) and \(x\) (Figure).

Figure 4.3-a : Field of movement by direction (Oy)

Figure 4.3-b : Field of movement according to direction (Ox)