Levy-type solution for bending-stretching of thick functionally graded rectangular plates based on third-order shear deformation theory
Journal article, 2012

In this article, an analytical approach for bending-stretching analysis of thick functionally graded rectangular plates is presented. The governing equilibrium equations are obtained based on the third-order shear deformation plate theory. Introducing four new analytical functions and doing some algebraic operations, five highly coupled governing equilibrium equations are converted into two independent partial differential equations in terms of transverse displacement and a new function, called boundary layer function. Reformulated equations are solved analytically for the functionally graded rectangular plates with two opposite edges simply supported. Some important numerical results for stress components, deflection, and the boundary layer function are presented.

boundary layer function

thick rectangular plate

third-order shear deformation theory

analytical solution


functionally graded


A.R. Saidi

M. Bodaghi

Rasoul Atashipour

Mechanics of Advanced Materials and Structures

1537-6494 (ISSN) 1537-6532 (eISSN)

Vol. 19 8 577-589

Subject Categories

Applied Mechanics

Other Civil Engineering

Building Technologies

Composite Science and Engineering



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