This work concerns the micromechanical modeling of RVE as well as the evaluation of the reliability of MMC materials. We mainly seek to simulate the elastoplastic behavior of composites through a periodic homogenization technique. The macroscopic response for the MMC with different mesh sizes, as well as the influence of the RVE microstructure size are studied under static loading. Based on the results of this study, the proposed approach is able to simulate well the behavior appearance and ductility plateau for percentages ranging from 10% to 30% spheroidal inclusion under static and cyclic loading. On the other hand, for ellipsoidal inclusions, a slight variation can be observed before rupture, which can be explained by the loss of rigidity due to delamination of the inclusions. And for a 5% inclusion percentage, our simulation seems to provide a better estimate of the composite’s behavior than other models proposed in the literature. Then, a reliability approach is coupled to the mechanical model (AL-SIC4.1 MMC) in order to estimate the reliability index. The results demonstrated that the choice of distribution laws of the simulated random variables is made for a significant probability density and by a density curve with more concentrated results.
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