“…With the increase in computational power, the use of the numerical method, especially the finite elements method, contributed considerably to the comprehension of the mechanical behavior of defects under patch repair. The finite element method has been used for the study of the crack patching by many authors, we can quote: Callinan et al 8 , Jones and Chiu 9 , Chung and Yang 10 and Bachir Bouiadjra et al 11 Many researchers have studied crack reinforcement of stiffeners or pre-stresses on the stress intensity factor at the cracks tip or notches by the optical method of caustics 12,13 . Papadopoulos and Konsta-Gdoutos 14 indicated that this method is simple in its application and has successfully been used for the solution of a host of crack problems of engineering importance.…”