Analytical solution of nonlinear cylindrical bending for functionally graded plates

2015 ◽  
Vol 9 (5) ◽  
pp. 631-644 ◽  
Author(s):  
Tahar Hassaine Daouadji ◽  
Lazreg Hadji
Keyword(s):  
Analytical Solution ◽  
Functionally Graded ◽  
Functionally Graded Plates ◽  
Cylindrical Bending

An Analytical Solution for Nonlinear Cylindrical Bending of Functionally Graded Plates

2006 ◽  
Author(s):  
H. M. Navazi ◽  
H. Haddadpour ◽  
M. Rasekh
Keyword(s):  
Material Properties ◽  
Plate Theory ◽  
Nonlinear Boundary Conditions ◽  
Solution Procedure ◽  
Functionally Graded ◽  
Functionally Graded Plates ◽  
Power Law Distribution ◽  
Equilibrium Equations ◽  
Cylindrical Bending ◽  
Linear Differential

In this paper, the nonlinear cylindrical bending of a functionally graded plate is studied. The material properties of the plate are assumed to be graded continuously in the direction of thickness. The variation of the material properties follows a simple power-law distribution in terms of the volume fractions of constituents. The von Karman strains are used to construct the nonlinear equilibrium equations of the plates subjected to in-plane and transverse loadings. The governing equations are reduced to linear differential equation with nonlinear boundary conditions yielding a simple solution procedure. The results show that the functionally graded plates exhibit different behavior from plates made of pure materials in cylindrical bending. Also, it is shown that the linear plate theory is inadequate for analysis of FG plate even in the small deflection range.

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