Abstract
The analysis of surface acoustic waves in finite elastic solids is of fundamental and practical importance, giving the fact that those typical problems concerning solutions of the well-known wave propagation equations are hard to obtain. In searching of an accurate analytical method, we compare this problem with the known bulk acoustic wave problems in finite plates and corresponding Mindlin and Lee plate theories which have been instrumental in solving these problems with accuracy and simplicity. Analogous to power and trigonometric series expansions of displacements, we use exponential functions obtained from semi-infinite solutions of surface acoustic waves to represent the decaying displacements along thickness direction. We present a two-dimensional theory specifically for surface acoustic waves in finite solids with goals to use it for surface acoustic wave resonator analysis and design. The two-dimensional theory for piezoelectric plates is presented and considered through the effective elastic constants for simplification.
Keywords
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Achenbach, J. D.: Wave Propagation in Elastic Solids. North-Holland (1987).
Graff, K. F.: Wave Motion in Elastic Solids. Dover (1991).
Auld, B. A.: Acoustic Fields and Waves in Solids (I & II). Krieger, Malabar, FL (1990).
Royer, D., Dieulesaint, E.: Elastic Waves in Solids (I & II). Springer, Berlin (2000).
Farnell, G.W.: Properties of elastic surfaces waves. In: Mason, W.P., Thurston R.N. (eds.): Physical Acoustics, VI, pp. 109-166. Academic Press, New York (1970).
Wu, Y.: Waves in Elastic Solids. In: Zhang, F., Wang, L. (eds.): Modern Piezoelectricity, I, pp. 100-140. Science Press, Beijing (2001). (In Chinese)
Hashimoto, K.-Y.: Surface Acoustic Wave Devices in Telecommunications. Springer, Berlin (2000).
Yong, Y.-K.: Analysis of periodic structures for BAW and SAW resonators. Proc. of 2001 IEEE Intl. Ultrasonics Symp. 781-790 (2001).
Yoon, S., Yu, J.-D., Kanna, S., Oshio, M., Tanaka, M.: Finite element analysis of the substrate thickness on traveling leaky surface acoustic waves. Proc. of 2004 IEEE Intl. Ultrasonics Symp. 1696-1699 (2004).
Mindlin, R.D.: High frequency vibrations of piezoelectric crystal plates. Intl. J. Solids Struct. 8 891-906 (1972).
Lee, P.C.Y., Yu, J.-D., Lin, W.-S.: A new two-dimensional theory for vibrations of piezoelectric crystal plates with electroded faces. J. Appl. Phys. 83(3) 1213-1223 (1998).
Peach, R.C.: A normal mode expansion for the piezoelectric plates and certain of its applications. IEEE Trans. UFFC. 35(5) 593-611 (1988).
Wang, J., Hashimoto, K.-Y.: A two-dimensional theory for the analysis of surface acoustic waves in finite elastic solids. J. Sound Vib. 295 838-855 (2006).
Wang, J., Hashimoto, K.-Y.: A two-dimensional theory for the analysis of surface acoustic waves in anisotropic elastic solids. Proc. of 2003 IEEE Intl. Ultrasonics Symp. 637-640 (2003).
Mindlin, R.D. (Yang, J.S., ed.): An Introduction to the Mathematical Theory of Vibrations of Elastic Plates. World Scientific Hackensack, NJ (2006).
Tiersten, H. F.: Linear Piezoelectric Plate Vibrations. Plenum, New York (1969).
Wang, J., Du, J., Pan, Q.: A two-dimensional analysis of surface acoustic waves in finite plates with eigensolutions.Sci. China Ser. G. 50(5), 631-649 (2007).
Wang, J., Li, Z., Du, J.: An analysis of the effect of periodic electrodes on surface acoustic wave resonators. Proc. of IEEE 2006 Intl. Freq. Control Symp. 161-164 (2006).
Wang, J., Du, J., Lin, J., Li, Z.: Two-dimensional analysis of the effect of an electrode layer on surface acoustic waves in a finite anisotropic plate. Ultrasonics 44 (S1) 935-939 (2006).
Wang, J., Lin, J., Wan, Y., Zhong, Z.: A two-dimensional analysis of surface acoustic waves in finite solids with considerations of electrodes. Int. J. Appl. Electrom. 22 53-68 (2005).
Rahman, S., Langtangen, H.P., Barnes, C. H. W.: A finite element method for modelling electromechanical wave propagation in anisotropic piezoelectric media. J. Comput. Phys. 2 (2), 271-292 (2007).
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2010 Springer Science+Business Media B.V.
About this paper
Cite this paper
Wang, J., Wu, R., Du, J. (2010). A Two-Dimensional Analysis of Surface Acoustic Waves in Finite Piezoelectric Plates. In: Wu, TT., Ma, CC. (eds) IUTAM Symposium on Recent Advances of Acoustic Waves in Solids. IUTAM Bookseries, vol 26. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-9893-1_23
Download citation
DOI: https://doi.org/10.1007/978-90-481-9893-1_23
Published:
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-9892-4
Online ISBN: 978-90-481-9893-1
eBook Packages: EngineeringEngineering (R0)