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A Two-Dimensional Analysis of Surface Acoustic Waves in Finite Piezoelectric Plates

  • Ji Wang
  • Rongxing Wu
  • Jianke Du
Conference paper
Part of the IUTAM Bookseries book series (IUTAMBOOK, volume 26)

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

Surface Acoustic Wave Bulk Acoustic Wave Effective Elastic Constant Piezoelectric Solid Finite Plate 
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.

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References

  1. .
    Achenbach, J. D.: Wave Propagation in Elastic Solids. North-Holland (1987).Google Scholar
  2. .
    Graff, K. F.: Wave Motion in Elastic Solids. Dover (1991).Google Scholar
  3. .
    Auld, B. A.: Acoustic Fields and Waves in Solids (I & II). Krieger, Malabar, FL (1990).Google Scholar
  4. .
    Royer, D., Dieulesaint, E.: Elastic Waves in Solids (I & II). Springer, Berlin (2000).Google Scholar
  5. .
    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).Google Scholar
  6. .
    Wu, Y.: Waves in Elastic Solids. In: Zhang, F., Wang, L. (eds.): Modern Piezoelectricity, I, pp. 100-140. Science Press, Beijing (2001). (In Chinese)Google Scholar
  7. .
    Hashimoto, K.-Y.: Surface Acoustic Wave Devices in Telecommunications. Springer, Berlin (2000).Google Scholar
  8. .
    Yong, Y.-K.: Analysis of periodic structures for BAW and SAW resonators. Proc. of 2001 IEEE Intl. Ultrasonics Symp. 781-790 (2001).Google Scholar
  9. .
    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).Google Scholar
  10. 0.
    Mindlin, R.D.: High frequency vibrations of piezoelectric crystal plates. Intl. J. Solids Struct. 8 891-906 (1972).Google Scholar
  11. 1.
    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).CrossRefGoogle Scholar
  12. 2.
    Peach, R.C.: A normal mode expansion for the piezoelectric plates and certain of its applications. IEEE Trans. UFFC. 35(5) 593-611 (1988).Google Scholar
  13. 3.
    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).CrossRefGoogle Scholar
  14. 4.
    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).Google Scholar
  15. 5.
    Mindlin, R.D. (Yang, J.S., ed.): An Introduction to the Mathematical Theory of Vibrations of Elastic Plates. World Scientific Hackensack, NJ (2006).Google Scholar
  16. 6.
    Tiersten, H. F.: Linear Piezoelectric Plate Vibrations. Plenum, New York (1969).Google Scholar
  17. 7.
    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).Google Scholar
  18. 8.
    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).Google Scholar
  19. 9.
    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).CrossRefGoogle Scholar
  20. 0.
    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).Google Scholar
  21. 1.
    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).Google Scholar

Copyright information

© Springer Science+Business Media B.V. 2010

Authors and Affiliations

  1. 1.Piezoelectric Device Laboratory, Department of Mechanics and Engineering Science, School of EngineeringNingbo UniversityNingboChina

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