2. Modeling A: in dimension 2

In this modeling, we consider the structure in 2D.

2.1. Characteristics of the mesh

The structure is modelled by a regular mesh composed of \(5\mathrm{\times }5\) QUAD4, respectively along the \(x,y\) [Figure 2.1-2.1-a] axes. The interface goes through the middle of the elements.

Figure 2.1‑ 2.1-a : 2D mesh

2.2. Tested features

We test the application of Neumann conditions via the AFFE_CHAR_MECA and AFFE_CHAR_MECA_F commands on a non-meshed interface with X- FEM.

This imposition is done using the FISSURE keyword from the PRES_REP operand, because the interface is not a group of elements.

We test the application of a constant pressure using a real and then using a space function such as \(p\mathrm{=}y\mathrm{\times }20000\mathit{Pa}\) (the crack is in \(y\mathrm{=}0.5\) which is equivalent to applying a constant load).

2.3. Tested sizes and results

The displacement values are tested after convergence of the iterations of the operator STAT_NON_LINE.

Identification	Reference
\(\mathit{DX}\) for all nodes just below the interface	0.00
\(\mathit{DY}\) for all nodes just below the interface	-5,00E-7
\(\mathit{DX}\) for all nodes just above the interface	0.00
\(\mathit{DY}\) for all nodes just above the interface	5,00E-7

To test all the nodes at once, we test the minimum and the maximum of the column.