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Analysis of Wave Propagation in Infinite Piezoelectric Plates

Published online by Cambridge University Press:  05 May 2011

C. Y. Wu ,
J. S. Chang  and
K. C. Wu
C. Y. Wu*
Affiliation:
Institute of Applied Mechanics, National Taiwan University, Taipei, Taiwan 10617, R.O.C.
J. S. Chang*
Affiliation:
Institute of Applied Mechanics, National Taiwan University, Taipei, Taiwan 10617, R.O.C.
K. C. Wu*
Affiliation:
Institute of Applied Mechanics, National Taiwan University, Taipei, Taiwan 10617, R.O.C.
*
*Ph.D. student
**Professor
**Professor
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Abstract

An analysis is presented for wave propagation in infinite homogeneous elastic plates of piezoelectric materials. The analysis is an extension to the work by Shuvalov [1] on wave propagation in general anisotropic elastic plates. A real form of dispersion equation is provided for a piezoelectric plate subjected to different boundary conditions on the plate surfaces. Perturbation theory [2] is exploited to obtain long-wavelength low-frequency approximation for physical quantities of wave propagation, including wave amplitude, stress, electric potential, electric displacement and velocity.

Keywords

Piezoelectric platesElastic wavesStroh's formalismPerturbation method
Type
Articles
Information
Journal of Mechanics , Volume 21 , Issue 2 , June 2005 , pp. 103 - 108
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2005

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References

REFERENCES

1.Shuvalov, A. L., “On the Theory of Wave Propagation in Anisotropic Plates,” Proc. Soc. Lond. A., 456, pp. 2197–2222 (2000).CrossRefGoogle Scholar
2.Stewart, G. W. and Ji-guang, Sun, Matrix Perturbation Theory, Academic Press, Inc. (1990).Google Scholar
3.Kaul, R. K. and Mindlin, R. D., “Frequency Spectrum of a Monoclinic Crystal Plate,” J. Acoust. Soc. Am., 34, pp. 1902–1910 (1961).CrossRefGoogle Scholar
4.Lee, P. C., Syngellakis, Y. S. and Hou, J. P., “A Two-Dimensional Theory for High-Frequency Vibration of Piezoelectric Crystal Plates with or without Electrodes,” Journal of applied Physics 61, pp. 134–141 (1987).CrossRefGoogle Scholar
5.Ting, T. C. T., Anisotropic Elasticity, Oxford University Press (1996).CrossRefGoogle Scholar