Table of Contents
Journal of Composites
Volume 2013, Article ID 808764, 12 pages
http://dx.doi.org/10.1155/2013/808764
Research Article

Buckling Analysis of Functionally Graded Material Plates Using Higher Order Shear Deformation Theory

1School of Mechanical Engineering, R.G.M College of Engineering & Technology, Nandyal, Kurnool, Andhra Pradesh 518 501, India
2Department of Mechanical Engineering, J.N.T.U.H College of Engineering, J.N.T. University, Hyderabad, Andhra Pradesh 500 085, India
3The School of Engineering & Technology, Sri Padmavathi Mahila Visvavidyalayam, Women’s University, Tirupati, Chittoor, Andhra Pradesh 517 502, India

Received 29 May 2013; Revised 7 October 2013; Accepted 11 October 2013

Academic Editor: Serge Abrate

Copyright © 2013 B. Sidda Reddy et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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) without enforcing zero transverse shear stresses on the top and bottom surfaces of the plate. It does not require shear correction factors and transverse shear stresses vary parabolically across the thickness. 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 motion 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.