Skip to main content
Log in

Generation of SH-type waves due to non-uniformly moving stress-discontinuity in layered anisotropic elastic half-space

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

Summary

A study is made of the generation of SH-type waves at the free surface of a layered anisotropic elastic medium due to a stress discontinuity moving with non-uniform velocity along the interface of the layered half-space. The exact solution for the displacement function is obtained by the Laplace and Fourier transforms method combined with the modified Cagniard method. Solution is discussed on the basis of ray theory. Formations of different wave pattern are also illustrated with figures. Some special cases are also derived.

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.

Institutional subscriptions

Similar content being viewed by others

References

  1. Lamb, H.: Philosophical Transactions of Royal Society LondonA 203, 1. (1904).

    Google Scholar 

  2. Cagniard, L.: Réflexion et réfraction des ondes séismiques progressives. Paris: Gauthier-Villars 1939.

    Google Scholar 

  3. De Hoop, A. T.: A modification of Cagniard's method for solving seismic pulse problems. Appl. Sci. Res.B 8, 349–356 (1960).

    Google Scholar 

  4. Freund, L. B.: The response of an elastic solid to non-uniformly moving surface load. J. Appl. Mech.40, 699–704 (1973).

    Google Scholar 

  5. Roy, A.: Response of an elastic solid to non-uniformly expanding surface loads. Int. J. Engg. Sci.17, 1023–1038 (1979).

    Google Scholar 

  6. Nag, K. R.: Generation ofSH-type waves due to stress discontinuity in layered elastic media. QJMM16, 295–303 (1963).

    Google Scholar 

  7. Pal, P. C., Debnath, L.: Generation ofSH-type waves in layered anisotropic elastic media. Int. J. Math. a. Maths. Sci.2, 703–716 (1979).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

With 4 Figure

Rights and permissions

Reprints and permissions

About this article

Cite this article

Pal, P.C. Generation of SH-type waves due to non-uniformly moving stress-discontinuity in layered anisotropic elastic half-space. Acta Mechanica 49, 209–220 (1983). https://doi.org/10.1007/BF01236352

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01236352

Keywords

Navigation