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Wave propagation in a prestressed piezoelectric half-space

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Abstract

Reflection of plane waves at a traction-free and electrically shorted/charge-free surface of a prestressed piezoelectric medium is studied. The reflection coefficients of qP and qSV waves are derived for electrically shorted and charge-free cases. The effect of initial stress on the reflection coefficients is discussed for a particular example of Lithium niobate.

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References

  1. Tiersten H.F.: Linear Piezoelectric Plate Vibrations. Plenum, New York (1969)

    Google Scholar 

  2. Kyame J.J.: Wave propagation in piezoelectric crystals. J. Acoust. Soc. Am. 21, 159–167 (1949)

    Article  Google Scholar 

  3. Pailloux P.M.H.: Piezoelectricite calcul des vitesses de propagation. Le Journal de Physique et le Radium 19, 523–526 (1958)

    Article  MATH  Google Scholar 

  4. Hruska K.: The rate of propagation of ultrasonic waves in ADP and in Voigt’s theory. Czech. J. Phys. B16, 446–453 (1966)

    Article  Google Scholar 

  5. Spaight R.N., Koerber G.G.: Piezoelectric surface waves on LiNbO3. IEEE Trans. Sonics Ultrason. SU-18, 237–238 (1971)

    Google Scholar 

  6. Bluestein J.L.: A new surface wave in piezoelectric medium. Appl. Phys. Lett. 13, 412–413 (1968)

    Article  Google Scholar 

  7. Cheng N.C., Sun C.T.: Wave propagation in two-layered piezoelectric plates. J. Acoust. Soc. Am. 57, 632–638 (1974)

    Article  Google Scholar 

  8. Abbudi M., Barnett D.M.: On the existence of interfacial (Stoneley) waves in bonded piezoelectric half-spaces. Proc. R. Soc. Lond. Ser. A Math. Phys. Sci. 429, 587–611 (1990)

    Article  MATH  Google Scholar 

  9. Li S.: The electromagneto-acoustic surface wave in a piezoelectric medium: the Bleustein-Gulyaev mode. J. Appl. Phys. 80, 5264–5269 (1996)

    Article  Google Scholar 

  10. Yang J.S.: Bleustein-Gulyaev waves in piezoelectromagnetic materials. Int. J. Appl. Elect. Mech. 12, 235–240 (2000)

    Google Scholar 

  11. Fang H., Yang J., Jiang Q.: Surface acoustic waves propagating over a rotating piezoelectric half-space. IEEE Trans. Ultrason. Ferroelectr. Freq. Control 48, 998–1004 (2001)

    Article  Google Scholar 

  12. Wang Q., Quek S.T., Varadan V.K.: Love wave propagation in piezoelectric coupled media. Smart Mater. Struct. 10, 380–388 (2001)

    Article  Google Scholar 

  13. Wang Q.: Wave propagation in a piezoelectric coupled solid medium. J. Appl. Mech. 69, 819–824 (2002)

    Article  MATH  Google Scholar 

  14. Hu Y.T., Yang J.S., Jiang Q.: Surface waves in electrostrictive materials under biasing fields. Z. Angew. Math. Phys. 55, 678–700 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  15. Yang J.S., Zhou H.G.: An interface wave in piezoelectromagnetic materials. Int. J. Appl. Elect. Mech. 21, 63–68 (2005)

    Google Scholar 

  16. Yang J.S.: A review of a few topics in piezoelectricity. Appl. Mech. Rev. 59, 335–345 (2006)

    Article  Google Scholar 

  17. White, R.W.: Acoustic sensors for physical, chemical and biochemical applications. In: Proceedings of IEEE International Frequency Control Symposium, pp. 587–594 (1998)

  18. Sinha B.K., Tanski W.J., Lukaszek T., Ballato A.: Influence of biasing stresses on the propagation of surface waves. J. Appl. Phys. 57, 767–776 (1985)

    Article  Google Scholar 

  19. Montanaro A.: Wave propagation along axes of symmetry in linear elastic media with initial stress. J. Elasticity 46, 217–221 (1997)

    Article  MATH  MathSciNet  Google Scholar 

  20. Guz A.S.: Elastic waves in compressible materials with initial stress and a nondestructive ultrasonic method for the determination of biaxial residue stresses. Int. Appl. Mech. 30, 1–14 (1994)

    Article  MathSciNet  Google Scholar 

  21. Chai J.F., Wu T.T.: Propagation of surface waves in a prestressed piezoelectric material. J. Acoust. Soc. Am. 100, 2112–2122 (1996)

    Article  Google Scholar 

  22. Jin F., Wang Z.K., Wang T.J.: Propagation behavior of Love waves in a prestressed piezoelectric layered structure. Key Eng. Mater. (Switzerland) 183–187, 755–760 (2000)

    Article  Google Scholar 

  23. Simionescu-Panait O.: The influence of initial fields on wave propagation in piezoelectric crystals. Int. J. Appl. Elect. Mech. 12, 241–251 (2000)

    Google Scholar 

  24. Liu H., Kuang Z.B., Cai Z.M.: Propagation of surface acoustic waves in prestressed anisotropic layered piezoelectric structures. Acta Mech. Solida Sin. 16, 16–23 (2003)

    Google Scholar 

  25. Liu H., Kuang Z.B., Cai Z.M.: Propagation of Bleustein-Gulyaev waves in a prestressed layered piezoelectric structure. Ultrasonics 41, 397–405 (2003)

    Article  Google Scholar 

  26. Qian Z., Jin F., Wang Z., Kishimoto K.: Love waves propagation in a piezoelectric layered structure with initial stresses. Acta Mech. 171, 41–57 (2004)

    Article  MATH  Google Scholar 

  27. Qian Z., Jin F., Kishimoto K., Wang Z.: Effect of initial stress on the propagation behavior of SH-waves in multilayered piezoelectric composite structures. Sens. Actuators A. Phys. 112, 368–375 (2004)

    Article  Google Scholar 

  28. Jin F., Qian Z., Wang Z., Kishimoto K.: Propagation behavior of Love waves in a piezoelectric layered structure with inhomogeneous initial stresses. Smart Mater. Struct. 14, 515–523 (2005)

    Article  Google Scholar 

  29. Su J., Kuang Z.B., Liu H.: Love wave in ZnO/SiO2/Si structure with initial stresses. J. Sound Vib. 286, 981–999 (2005)

    Article  Google Scholar 

  30. Du J., Jin X., Wang J., Zhou Y.: SH wave propagation in a cylindrically layered piezoelectric structure with initial stress. Acta Mech. 191, 59–74 (2007)

    Article  MATH  Google Scholar 

  31. Du J., Jin X., Wang J.: Love wave propagation in layered magneto-electro-elastic structures with initial stress. Acta Mech. 192, 169–189 (2007)

    Article  MATH  Google Scholar 

  32. Every A.G., Neiman V.I.: Reflection of electroacoustic waves in piezoelectric solids: mode conversion into four bulk waves. J. Appl. Phys. 71, 6018–6024 (1992)

    Article  Google Scholar 

  33. Darinskii A.N., Le Clezio E., Feuillard G.: The role of electromagnetic waves in the reflection of acoustic waves in piezoelectric crystals. Wave Motion 45, 428–444 (2008)

    Article  MathSciNet  Google Scholar 

  34. Weis R.S., Gaylord T.K.: Lithium niobate: summary of physical properties and crystal structure. Appl. Phys. A 37, 191–203 (1985)

    Article  Google Scholar 

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Correspondence to Baljeet Singh.

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Singh, B. Wave propagation in a prestressed piezoelectric half-space. Acta Mech 211, 337–344 (2010). https://doi.org/10.1007/s00707-009-0234-8

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  • DOI: https://doi.org/10.1007/s00707-009-0234-8

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