Mixed mode stress intensity factor analysis on edge cracked FGM plate with different material distribution models by XFEM

This study aimed to present a stochastic fracture approach to evaluate the mean and variance of mixed-mode stress intensity factor (MMSIF) with crack growth and probability of failure analysis (PFA) of edge cracked functionally graded materials (FGMs) plate using the extended finite element method (XFEM) through the second-order perturbation technique (SOPT) via interaction integral method. The single-edge cracked plate was subjected to various in-plane loadings such as uniform tensile loading, shear loading, and a combination of tensile and shear loading with different FGM models like exponential law, power law, Mori-Tanaka, and sigmoid law to show the efficacy and effectiveness of material gradation on MMSIF through user-defined MATLAB code. The elastic properties vary in the direction of width, and in-plane loading is assumed perpendicular to the edge crack. The present simulated results are compared with the published results in the literature to check the effectiveness of the present code.