Fracture analysis of center crack functionally graded material plate under tensile biaxial loading by extended finite element method

Abstract

Abstract The fracture analysis of a centrally cracked functionally graded material (FGM) plate under biaxial stresses using extended finite element method (XFEM) is studied. In this present study the effect of crack length and crack angle on mixed mode stress intensity factor (MSIF) of center cracked FGM plate under biaxial stress is presented. The mathematical formulation is carried out in MATLAB by XFEM using interaction integral and partition of unity method. The results obtained by this present approach are compared with the result from the literature. This study is carried out to find MMSIF of center cracked FGM plate to understand the behavior of crack under biaxial state of stress.