Three-Dimensional Flexure of Rectangular Plates Made of Functionally Graded Materials

[+] Author and Article Information
Isaac Elishakoff

Department of Mechanical Engineering,  Florida Atlantic University, 777 Glades Road, Boca Raton, FL 33431-0091elishako@fau.edu

Cristina Gentilini

Dipartimento di Ingegneria delle Strutture, dei Trasporti, delle Acque, del Rilevamento, del Territorio,  University of Bologna, Viale Risorgimento 2, 40136 Bologna, Italycristina.gentilini@mail.ing.unibo.it

J. Appl. Mech 72(5), 788-791 (Jan 18, 2005) (4 pages) doi:10.1115/1.1985429 History: Received May 31, 2004; Revised January 18, 2005

A three-dimensional solution for the problem of transversely loaded, all-round clamped rectangular plates of arbitrary thickness is presented within the linear, small deformation theory of elasticity. The Ritz minimum energy principle is employed to derive the governing equation of the plate made of functionally graded materials. In theory, if we employ an infinite number of terms in the displacement series, the exact solution can be determined. However, a practical limit always exists due to numerical implementation. The solution has a validity comparable to some higher order theories. A power-law distribution for the mechanical characteristics is adopted to model the continuous variation of properties from those of one component to those of the other. The displacements and stresses of the plate for different values of the power-law exponent are investigated.

Copyright © 2005 by American Society of Mechanical Engineers
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Grahic Jump Location
Figure 2

Nondimensional deflection w¯ and in-plane displacement u¯ through the thickness

Grahic Jump Location
Figure 1

Convergence study on the nondimensional central deflection w¯

Grahic Jump Location
Figure 3

Nondimensional axial stresses σ¯xx at ξ=1∕2, η=1∕2 and in the clamped edge through the thickness



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