Numerical Simulation of Mesoscopic Mechanical Behaviors of Gradual Multi‐Fiber‐Reinforced Polymer Matrix Composites

Summary: To simulate the deformation and the fracture of gradual multi‐fiber‐reinforced polymer matrix composites, a numerical simulation method for the mesoscopic mechanical behaviors was developed on the basis of the finite element and the Monte Carlo methods. The results indicate that the strength of a composite increases if the variability of statistical fiber strengths is decreased.Normalized strength distributions plotted in the Weibull form of $\ln (\sigma /\sigma _{\rm c} )$ versus $\ln [ - \ln (1 - P)]$ for composites with varying WM.