Abstarct: In this research, the aim of investigating the effect of adding nanoparticles in the first crack mode on the interlaxyer fatigue strength of fiber-mextal composites (FMLs) is to model quasi-static crack growth in Abaqus software among the component methods. limited by using the CZM viscous element, in addition, damage theory is used to express the parameters of a bilinear damage relationship in terms of weight percentage in the modeling of FML samples, the mextal used is aluminum alloy T3-2024 and the fibers used are 100g bidirectional glass fibers and the resin is epoxy. The laboratory results that have been extracted were used in these tests in order to increase the static strength and fatigue of the resin from nanoparticles Graphene was used as reinforcement. Modeling of peeling test without nanographene and also with 0.1, 0.25 and 0.35 nanographene percentages was done in order to achieve adhesive properties and then geometrical modeling of DCB single-ended beam under loading. Pseudo-static loading was performed in the first mode. Finally, with the help of the available experimental data, a proportional model was presented for the fatigue strength using the damage theory and the CZM method. without nanographene oxide and also with different percentages, the respective tensile-separation diagrams were extracted.