Abstract

This study uses the stochastic extended finite element method (SXFEM) to calculate the second order statistics of mixed (first and second) mode stress intensity factors (MMSIF) of single edge cracked orthotropic composite plates subjected to uni-axially applied tensile, shear, and combined loading. In this study, a stochastic method based on the second order perturbation technique (SOPT) and direct Monte Carlo simulation (MCS) in the context of XFEM is merged with the interaction integral (M-integral). The mean and coefficient of variance (COV) of MMSIFs are computed using stochastic analysis, which takes into account randomness in system properties such as material properties and fracture parameters, which are modeled as random input parameters.

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