An Exact Three-Dimensional Solution for Simply Supported Rectangular Piezoelectric Plates

[+] Author and Article Information
P. Bisegna, F. Maceri

Department of Civil Engineering, University of Rome “Tor Vergata,” 00133 Rome, Italy

J. Appl. Mech 63(3), 628-638 (Sep 01, 1996) (11 pages) doi:10.1115/1.2823343 History: Received January 23, 1995; Revised November 08, 1995; Online December 04, 2007


An exact three-dimensional solution for the problem of a simply supported rectangular homogeneous piezoelectric plate is obtained, in the framework of the linear theory of piezoelectricity. The plate is made of a transversely isotropic material, is earthed on the lateral boundary, and is subjected to prescribed surface charge and tractions on the end faces. The limit of this solution as the plate thickness aspect ratio approaches zero is explicitly carried out. The analytical results obtained may constitute a reference case when developing or applying two-dimensional plate theories for the analysis of more complex piezoelectric problems. A numerical investigation in the case of a square uniformly loaded plate is also performed, in order to evaluate the influence of the thickness-to-side ratio on the three-dimensional solution of the plate problem.

Copyright © 1996 by The American Society of Mechanical Engineers
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