Nonlinear Bending and Thermal Post-buckling Analysis of FGM Super Elliptical Thin Plates

Da Guang Zhang

doi:10.4172/2321-6212.1000194

Abstract

Super elliptical plates which are defined by shapes between an ellipse and a rectangle have a wide range of use in engineering applications. Investigations on non-linear behaviors of super elliptical isotropic plates are available in the literature, while investigations on nonlinear behaviors of FGM super elliptical plates haven’t been reported at present. In this paper, nonlinear bending and thermal post-buckling analysis are first presented for functionally graded super elliptical plates based on classical plate theory. Material properties are assumed to be temperature-dependent and graded in the thickness direction. The numerical illustrations concern the nonlinear behaviors of functional graded plates with immovable simply supported edge and immovable clamped edge. Influences played by different supported boundaries, thermal environmental conditions, and volume fraction index are discussed in detail using Ritz method.

Highlights

Rectangular plates with rounded corners are used extensively in industrial applications as structural and machine elements
The present work focuses attention on nonlinear bending and thermal post-buckling analysis of functionally graded super elliptical plates based on classical plate theory
Numerical results are presented for nonlinear behaviors of Functionally graded materials (FGMs) super elliptical plates

Summary

Introduction

Rectangular plates with rounded corners are used extensively in industrial applications as structural and machine elements. Wang et al [1] presented accurate frequency and buckling factors for super elliptical plates with either supported or clamped edges by using Rayleigh-Ritz method. Zhou et al [5] analysed three-dimensional free vibration of super elliptical plates based on linear elasticity theory using Chebyshev-Ritz method. Jazi and Farhatnia [13] discussed buckling of functionally graded super elliptical plate based on the classical plate theory using Pb-2 Ritz method.

Results

Conclusion