Fracture analysis of single edge cracked functionally graded material plate under various loading conditions by extended finite element method

Abstract

Functionally graded material (FGM) is the perfect blend of two (or more) material phases of different materials and functional performance that vary in definite direction within the geometry. It was first introduced by group of scientist in 1984 for shielding and thermal barrier. In the present paper single edge cracked plate under different loadings are used to observe the behavior of FGM plate under different loading conditions by using extended finite element method (XFEM). The basic formulation is carried out in MATLAB environment by XFEM using interaction integral (M-integral) through partition of unity method. In the presentstudy the main focus is to utilize XFEM to find mixed mode stress intensity factor (MMSIF) of edge cracked FGM plate under the action of uniform tensile, shear, combined (tensile and shear) and point load.