Nonlinear stability and failure analysis of perforated FGM plate

Abstract

A nonlinear finite element analysis, based on the first-order shear deformation theory and the von-Karman’s nonlinear kinematics, of Ti/TiB FGM plate with a central circular hole under in-plane compressive load has been presented. The volume fractions of FGM constituents (ceramic and metal) have been varied according to simple power law distribution in the thickness direction of FGM plate. The actual non-homogeneous FGM plate with continuously varying properties along thickness has been modeled as a laminate composed of multiple perfectly-bonded layers of isotropic material having layer-wise homogenous composition. The FGM material has been assumed to be graded as per TTO model (i.e., the modified rule of mixtures) to calculate the Young's modulus and the yield strength of FGM plate at a particular thickness coordinate. The failure of the FGM plate has been predicted by applying 3-D von-Mises criterion. After validating the results of present formulation with that reported in the literature, various numerical studies have been conducted to examine the effects of different parameters, viz, material in-homogeneity, slenderness ratio, boundary conditions, hole-size and loading conditions on the bucking and postbuckling behavior, and the failure response of FGM plate. It has been concluded that clamped FGM plate with large hole-size possesses more buckling load than with a small hole-size because of the rigid boundary edge conditions, whereas failure load and associated maximum transverse deflection as well as the postbuckling stiffness of FGM plate monotonically decrease with the increase in hole-size. It has been envisioned that the present study would provide an enhanced insight into the stability and failure behavior of perforated FGM structures.