Skip to main content
Log in

Propagation of three-dimensional electroelastic shear waves in a regularly layered medium of metal-piezoelectric type

  • Published:
Journal of Soviet Mathematics Aims and scope Submit manuscript

Abstract

We construct and study the dispersion equations for electroelastic three-dimensional shear waves propagating in a periodic medium formed by alternating layers of conducting and piezoelectric materials. We determine the structure of the transmission and blocking zones (the spectral regions of “stability” and “instability”) for various relations among the parameters of the layers with waves propagating along the interfaces between the layers. Two figures. Bibliography: 8 titles.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

Literature cited

  1. M. K. Balakirev and I. A. Gilinskii,Waves in Piezocrystals [in Russian], Nauka, Novosibirsk (1982).

    Google Scholar 

  2. L. M. Brekhovskikh,Waves in Layered Media, Academic Press, New York (1980).

    Google Scholar 

  3. A. A. Bulgakov and A. I. Timchenko, “Propagation of shear acoustic waves in an active periodic structure,”Akust. Zh.,30, No. 1, 23–27 (1984).

    Google Scholar 

  4. V. V. Levchenko, A. N. Podlipenets, and N. A. Shul'ga, “The forms of oscillations on the boundaries of the zones of escape of three-dimensional shear waves in a regularly-layered medium,”Prikl. Mekh.,20, No. 11, 111–115 (1984).

    Google Scholar 

  5. N. A. Shul'ga,Foundations of Mechanics of Layered Media of Periodic Structure [in Russian], Naukova Dumka, Kiev (1981).

    Google Scholar 

  6. N. A. Shul'ga, “Propagation of shear waves in layered media with periodic properties,”Prikl. Mekh.,20, No. 3, 116–119 (1984).

    Google Scholar 

  7. Sh. Elashi “Waves in active and passive periodic structures: a survey,”Tr. Inst. Inzh. El. Radioelekt.,64, No. 12, 22–59 (1976).

    Google Scholar 

  8. C. Maerfeld and P. Tournois, “Pure shear elastic surface waves guided by the interface of two semiinfinite media,”Appl. Phys. Let.,19, No. 4, 117–118 (1971).

    Google Scholar 

Download references

Authors

Additional information

Translated fromMatematicheskie Metody i Fiziko-Mekhanicheskie Polya, Issue 30, 1989, pp. 4–8.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zinchuk, L.P., Levchenko, V.V. & Shul'ga, N.A. Propagation of three-dimensional electroelastic shear waves in a regularly layered medium of metal-piezoelectric type. J Math Sci 63, 298–302 (1993). https://doi.org/10.1007/BF01255731

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01255731

Keywords

Navigation