Higher-Order Theories of Piezoelectric Plates and Applications

[+] Author and Article Information
Ji Wang

Epson Palo Alto Laboratory, 3145 Porter Drive, Suite 104, Palo Alto, CA 94304

Jiashi Yang

Department of Engineering Mechanics, University of Nebraska, Lincoln, NE 68588

Appl. Mech. Rev 53(4), 87-99 (Apr 01, 2000) (13 pages) doi:10.1115/1.3097341 History: Online April 09, 2009


This review article summarizes the development of higher order theories for the dynamic analysis of piezoelectric plates, and describes their applications, especially for crystal resonators. The theories are categorized according to how the displacement components and electric potential are assumed to vary through the plate thickness. The greatest attention has been given to ordinary polynomial variations, especially the efforts of RD Mindlin and HF Tiersten and their coworkers. Considerable progress has also been made using trigonometric series representations, especially by PCY Lee and his coworkers. Legendre polynomial and normal mode expansions have also been developed. Both analytical and finite element methods of dealing with problems are described. The article contains 174 references.

Copyright © 2000 by American Society of Mechanical Engineers
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