Advertisement

Journal of Mathematical Sciences

, Volume 83, Issue 2, pp 334–343 | Cite as

Nonstationary love waves of the SH-type in an anisotropic elastic medium. A kinematic approach

  • Z. A. Yanson
Article
  • 18 Downloads

Abstract

In this paper, the propagation of Love waves in anisotropic elastic media is studied. These waves are a similar to the transverse surface SH waves in the isotropic case. Necessary conditions for the existence of Love waves of this polarization type near the surface Σ of an anisotropic elastic body are deduced. The algorithm developed here makes it possible to find the direction (s) of transverse surface wave propagation (at every point on the surface Σ). The algorithm employed is illustrated by some special anisotropic cases. The space-time method is used to construct the asymptotics of Love waves for those types of anisotropic media the eikonal equation of which is valid on the surface of an elastic body.

Keywords

Wave Propagation Surface Wave Elastic Medium Elastic Body Polarization Type 
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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Literature Cited

  1. 1.
    Z. A. Yanson, “On nonstationary Love waves near the surface of an anisotropic elastic body,”Zap. Nauchn. Semin. LOMI,203, 166–172 (1992).MATHGoogle Scholar
  2. 2.
    Z. A. Yanson, “Nonstationary Love waves near the surface of a transversally isotropic elastic body,”Vopr. Dinam. Teor. Raspr. Seismich. Voln, No. 30 (1991) Leningrad State Univ., pp. 113–125.Google Scholar
  3. 3.
    V. M. Babich and Z. A. Yanson, “On propagation of Love waves along the surface of an elastic body of arbitraty shape,”Izv. Akad. Nauk SSSR, Fiz. Zemli, No. 5, 17–27 (1985).Google Scholar
  4. 4.
    V. D. Azhotkin and V. M. Babich, “On Love wave propagation along the surface of an anisotropic body of arbitrary shape,”Zap. Nauchn. Semin. LOMI,165, 9–14 (1987).Google Scholar
  5. 5.
    G. I. Petrashen,Wave Propagation in Anisotropic Elastic Media [in Russian], Leningrad (1990).Google Scholar
  6. 6.
    V. M. Babich and V. S. Buldyrev,Asymptotic Methods in Shortwave Diffraction Problems [in Russian], Moscow (1972).Google Scholar
  7. 7.
    J. N. Sneddon and D. S. Berry,The Classical Theory of Elasticity, Springer-Verlag, Berlin-Göttingen-Heldelberg (1958).Google Scholar

Copyright information

© Plenum Publishing Corporation 1996

Authors and Affiliations

  • Z. A. Yanson

There are no affiliations available

Personalised recommendations