Buckling Analysis of Simply-supported Functionally Graded Rectangular Plates under Non-uniform In-plane Compressive Loading

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  • M Mahdavian*1,
  1. Department of Mechanical Engineering, Islamic Azad University, Arak Branch

Revised: 2009-11-05

Accepted: 2009-11-24

Published in Issue 2009-09-30

How to Cite

Mahdavian, M. (2009). Buckling Analysis of Simply-supported Functionally Graded Rectangular Plates under Non-uniform In-plane Compressive Loading. Journal of Solid Mechanics, 1(4), 213-225. https://oiccpress.com/jsm/article/view/12021

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Abstract

In this research, mechanical buckling of rectangular plates of functionally graded materials (FGMs) is considered. Equilibrium and stability equations of a FGM rectangular plate under uniform in-plane compression are derived. For isotropic materials, convergent buckling loads have been presented for non-uniformly compressed rectangular plates based on a rigorous superposition fourier solution for the in-plane Airy stress field and Galerkin’s approach for stability analysis. The results for isotropic case will be compared with reference articles and finite element method (FEM) solution. Finally, the results will be achieved for a sample of FGM material as well as the research on the effect of power law index on buckling coefficient.
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