Issue 50

A. Benzaama et alii, Frattura ed Integrità Strutturale, 50 (2019) 184-193; DOI: 10.3221/IGF-ESIS.50.16 192 type of notch and for different configurations of the reinforced. In each form of reinforcement the results always remain beneficial but with a different effectiveness. Figure 14 : Synthesis effective forms of notches and reinforcement. From the Fig. 14, the different forms of reinforcement for the shape of the circular and lateral notch have fracture curves, which are a little higher if compared with other forms of vertical and parallel elliptical notches. Therefore, we notice that these structures are more resistant. If we compare them by the form of reinforcement for each model, we find that the rectangular form is the most resistant by contribution to the others. C ONCLUSION n This study, it had been used a numerical simulation based on the Extended Finite Element Technique (XFEM) of a structure notched. The following underlined conclusions has been deduced from the obtained results: • The concentration of the stresses at the notch as well as the curves of rupture depend strongly on the type of notch and the form of reinforcement. • These modifications of the forms of reinforcement bring an improvement on the resistance of the plates, which can go up to 11 kN. • An interdependence of effect (reinforcement shape and notch shape) has been observed, and which acts in the positive and sometimes negative direction all depends on the case that appears between the shape of the cut and the shape of the cut enhancement. • The numerical computation model is strongly based on the experimental results. • The XFEM method is highly dependent on the mesh. The initiation and crack propagation path also depends on it. • The shape of reinforcement also influences the size of the plastic zone. • All models with reinforcement take crack initiation at the end of the notch from the inside to the outside for the notches that are at the center of the plate and from the outside to the inside for the notches at the end of the plate. • When the structure is loaded, the resistance of the notched structure is limited by its size and shape. R EFERENCES [1] Chapuis, B., Osmont, D. (2010). Contrôle santé intégré par méthode ultrasonore des réparations composites collées sur des structures métalliques. Laboratoire Ondes et Acoustique – ESPCI, Université Paris 7, CNRS UMR 7587. I