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Proceedings Paper

Analysis of functionally graded piezoelectric plates in actuator mode
Author(s): Robert G. Reid; Ratnam Paskaramoorthy
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Paper Abstract

Most of the analysis techniques used on functionally graded piezoelectric plates consider the effects of through-thickness strains since they can be significant in thick plates. Many practical applications of such plates, however, are in the form of actuators which are not necessarily thick. A simple theory such as the classical lamination theory can, therefore, provide useful estimates of in-plane deflections and stresses in thin and moderately thick plates. This theory does not, however, directly accommodate material properties that change progressively and it is desirable to develop a method with this capability. This paper presents such an approach, formulated as an extension to classical lamination theory. Polynomial series are used to approximate the true through-thickness variation in material properties and electric field strength. The resulting mathematical problem can be explicitly formulated irrespective of the actual variation in these parameters. A comparison against results from an exact three dimensional analysis demonstrates the use and accuracy of the method.

Paper Details

Date Published: 28 March 2012
PDF: 14 pages
Proc. SPIE 8342, Behavior and Mechanics of Multifunctional Materials and Composites 2012, 834225 (28 March 2012); doi: 10.1117/12.917303
Show Author Affiliations
Robert G. Reid, Univ. of the Witwatersrand (South Africa)
Ratnam Paskaramoorthy, Univ. of the Witwatersrand (South Africa)


Published in SPIE Proceedings Vol. 8342:
Behavior and Mechanics of Multifunctional Materials and Composites 2012
Nakhiah C. Goulbourne; Zoubeida Ounaies, Editor(s)

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