Skip to main content
SpringerLink
Log in

On the propagation of stoneley waves in liquid media with diatomic microstructure

  • Contributed Papers
  • Published:
Acta Mechanica Aims and scope Submit manuscript

Summary

The paper examines propagation of plane longitudinal waves on the plane surface separating two liquid inviscid elastic media with diatomic microstructures. After establishing the constitutive equations of the four constituents, equations of motion are solved by appeal to four quasi-potential functions. Fulfillment of the conditions of a perfect contact at the interface provides the characteristic equation of the problem which, in contrast to the conventional solution and in agreement with seismological observations, indicates the dispersion of the Stoneley waves. An example involving relaxed bonds between the constituent media is analyzed in more detail and illustrated by a graph.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Stoneley, R.: Elastic waves at the surface of separation of two solids. Proc. Royal Society (London)A 106, 416–428 (1924).

    Google Scholar 

  2. Sezawa, K., Kanai, K.: The range of possible existence of Stoneley waves and some related problems. Bull. Earthquake Research Institute (Tokyo)17, 1–8 (1939).

    Google Scholar 

  3. Schotte, J. G.: The range of existence of Rayleigh and Stoneley waves. Monthly Notices of the Royal Astronomical Society: Geophysical Supplement5, 120–126 (1947).

    Google Scholar 

  4. Koppe, M.: On the Rayleigh waves at the surface of two media (in German) Zeit. Angewandte Mathematik und Mechanik28, 355–360 (1948).

    Google Scholar 

  5. Achenbach, J. D., Epstein, H. I.: Dynamic interaction of a layer and a half-space. J. of Engineering Mechanics Division, Proc. of the American Society of Civil Engineers93, No. EM5, 27–42 (1967).

    Google Scholar 

  6. Nowinski, J. L.: Note on the Stoneley waves in elastic media with long-range cohesion Forces. Int. J. of Solids and Structures32, 135–139 (1986).

    Google Scholar 

  7. Eringen, A. C.: Nonlocal polar field theories, in: Eringen, A. C., ed.: Continuum Physics, Vol. 4, pp. 205–267. New York: Academic Press 1976.

    Google Scholar 

  8. Edelen, D. G. B.: Nonlocal field theories, in: Eringen, A. C., ed.: Continuum Physics, pp. 75–204. New York: Academic Press 1976.

    Google Scholar 

  9. Demiray, H.: A continuum theory of elastic solids with diatomic structure. Int. J. of Engineering Science11, 1237–1246 (1973).

    Google Scholar 

  10. Ewing, W. M., Jardetzky, W. S., Press, F.: Elastic waves in layered media. New York: McGraw-Hill 1957.

    Google Scholar 

  11. Nowinski, J. L.: Wave propagation in a circular rod made of an elastic diatomic material. Int. J. of Engineering Science25, 1165–1173 (1987).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. H. Fletcher Brown Professor Emeritus Department of Mechanical Engineering, University of Delaware, 19716, Newark, DE, USA

    J. L. Nowinski

Authors
  1. J. L. Nowinski
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

With 2 Figures

Preparation of this paper was supported in part by the University of Delaware.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Nowinski, J.L. On the propagation of stoneley waves in liquid media with diatomic microstructure. Acta Mechanica 73, 67–75 (1988). https://doi.org/10.1007/BF01177031

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01177031

Keywords

Search

Navigation