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Semi-Analytical Solution for Functionally Graded Solid Circular and Annular Plates Resting on Elastic Foundations Subjected to Axisymmetric Transverse Loading

Published online by Cambridge University Press:  03 June 2015

A. Behravan Rad
A. Behravan Rad*
Affiliation:
Department of Mechanical Engineering, Karaj Branch, Islamic Azad University, Karaj, Iran
*
*Corresponding author. Email: behravanrad@gmail.comEmail: abehravanrad@aol.com
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Abstract

In this paper, the static analysis of functionally graded (FG) circular plates resting on linear elastic foundation with various edge conditions is carried out by using a semi-analytical approach. The governing differential equations are derived based on the three dimensional theory of elasticity and assuming that the mechanical properties of the material vary exponentially along the thickness direction and Poisson’s ratio remains constant. The solution is obtained by employing the state space method (SSM) to express exactly the plate behavior along the graded direction and the one dimensional differential quadrature method (DQM) to approximate the radial variations of the parameters. The effects of different parameters (e.g., material property gradient index, elastic foundation coefficients, the surfaces conditions (hard or soft surface of the plate on foundation), plate geometric parameters and edges condition) on the deformation and stress distributions of the FG circular plates are investigated.

Keywords

15A1615A1865D3274B0574G15Functionally graded circular plateelastic foundationdifferential quadrature methodstate-space method
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 4 , Issue 2 , April 2012 , pp. 205 - 222
Copyright
Copyright © Global-Science Press 2012

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