1. Reference problem

The behavior of a multi-fissured plate under tension is studied. In order not to mesh the cracks, the X- FEM method is used.

We consider an infinite plate in tension, comprising 2 cracks of length \(\mathrm{2a}\) (see).

Figure 1-1: geometry of the problem

We propose to check the charts provided by the « Handbook of stress-intensity factors » from \(G\). Sih. The stress intensity factor \({K}_{I}\) at point \(A\) is given by the following formula:

\({K}_{I}^{A}\mathrm{=}F(\frac{2a}{r},\frac{e}{b})\sigma \sqrt{\pi a}\) where \(F(\frac{2a}{r},\frac{e}{b})\) is given by the graph of the.