The study of dynamic behavior of functionally graded piezoelectric materials and an application to a contact problem

Authors:
B. M. Singh, J. Rokne and R. S. Dhaliwal

Journal:
Quart. Appl. Math. **65** (2007), 155-162

MSC (2000):
Primary 74A30

DOI:
https://doi.org/10.1090/S0033-569X-07-01029-0

Published electronically:
February 12, 2007

MathSciNet review:
2313154

Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: In the present paper, the dynamic behavior of functionally graded piezoelectric materials is investigated when it is under anti-plane mechanical loading and in-plane electrical loading. It is assumed that the shear modulus, the piezoelectric modulus, the dielectric modulus and mass density of FGPM vary continuously as functions of and . By using Fourier transforms the solution of equilibrium equations is obtained in closed form. The expressions for displacement and electrical potential are obtained in terms of one unknown function. Finally the results are applied to obtain a solution of the moving contact problem on the surface of the functionally graded piezoelectric material (FGPM).

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Additional Information

**B. M. Singh**

Affiliation:
Department of Computer Science, The University of Calgary, Calgary, Alberta, Canada T2N-1N4

**J. Rokne**

Affiliation:
Department of Computer Science, The University of Calgary, Calgary, Alberta, Canada T2N-1N4

Email:
rokne@cpsc.ucalgary.ca

**R. S. Dhaliwal**

Affiliation:
Department of Mathematics and Statistics, The University of Calgary, Calgary, Alberta, Canada T2N-1N4

Email:
dhali.r@shaw.ca

DOI:
https://doi.org/10.1090/S0033-569X-07-01029-0

Received by editor(s):
April 14, 2006

Published electronically:
February 12, 2007

Article copyright:
© Copyright 2007
Brown University