Analysis of functionally graded piezoelectric plates in actuator mode

Robert G. Reid; Ratnam Paskaramoorthy

doi:10.1117/12.917303

28 March 2012 Analysis of functionally graded piezoelectric plates in actuator mode

Robert G. Reid, Ratnam Paskaramoorthy

Proceedings Volume 8342, Behavior and Mechanics of Multifunctional Materials and Composites 2012; 834225 (2012) https://doi.org/10.1117/12.917303
Event: SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring, 2012, San Diego, California, United States

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.

Citation Download Citation

Robert G. Reid and Ratnam Paskaramoorthy "Analysis of functionally graded piezoelectric plates in actuator mode", Proc. SPIE 8342, Behavior and Mechanics of Multifunctional Materials and Composites 2012, 834225 (28 March 2012); https://doi.org/10.1117/12.917303

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