Iranian Journal of Mechanical Engineering Transactions of ISME

Iranian Journal of Mechanical Engineering Transactions of ISME

Buckling of thick functionally graded plates based on the higher order shear and normal deformation theories

Authors
Faculty of Mechanical Engineering, Shahid Bahonar University of Kerman, Kerman, Iran
Abstract
In this paper, buckling analysis of thick functionally graded rectangular plates is investigated based on the higher-order shear and normal deformable plate theory. According to this theory, all three displacement components are expanded by Legendre function of thickness direction. Stability equations are obtained using the principle of minimum total potential energy and the adjacent equilibrium criterion. Finally the stability equations are solved analytically for a plate with all edges simply supported using Navier solution and the critical buckling load is obtained. Comparing the results shows a good accuracy of the presented solution. Consequently, the effects of loading conditions, aspect ratio, thickness and material properties on the critical buckling load are investigated in detail. 
Keywords

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Volume 17, Issue 3 - Serial Number 40
System Dyanamics and Solid Mechanics
Autumn 2015
Pages 86-105

  • Receive Date 22 December 2015