Buckling Analysis of Functionally Graded Plates Using Higher Order Shear Deformation Theory with Thickness Stretching Effect

Abstract

The prime aim of the present study is to present analytical formulations and solutions for the buckling analysis of simply supported functionally graded plates (FGPs) using higher order shear deformation theory (HSDT). This study considers the thickness stretching effect and non-zero transverse shear stresses conditions on the top and bottom surfaces of the plate. It does not require shear correction factors. Material properties of the plate are assumed to vary in the thickness direction according to a power law distribution in terms of the volume fractions of the constituents. The equations of equilibrium and boundary conditions are derived using the principle of virtual work. Solutions are obtained for FGPs in closed-form using Navier's technique. Comparison studies are performed to verify the validity of the present results from which it can be concluded that the proposed theory is accurate and efficient in predicting the buckling behavior of functionally graded plates. The effect of side-to-thickness ratio, aspect ratio, modulus ratio, the volume fraction exponent and the loading conditions on the critical buckling load of FGPs is also investigated and discussed.