Skip to main content
Log in

Disturbances produced by variable body forces in a layer of finite thickness resting on a rigid foundation

  • Published:
pure and applied geophysics Aims and scope Submit manuscript

Summary

The disturbances produced by time-dependent torsional body forces in a layer of elastic material lying on a rigid foundation have been discussed in this paper. Solutions have been obtained first for a general type of body force, and the solutions for an impulsive cylindrical source and an impulsive torsional line source of finite length have been deduced. It has been found that for any point in the layer, there is no disturbance up to a certain instant, after which there is a sudden displacement, which gradually falls off and tends to zero as the timet increases.

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

References

  1. H. Lamb, Phil. Trans. A203 (1904), 1.

    Google Scholar 

  2. G. Eason, J. Fulton andI. N. Sneddon, Phil. Trans. A248 (1956), 576.

    Google Scholar 

  3. M. Mitra, Proceedings of the National Institute of Sciences of India, A39 (1963), 271.

    Google Scholar 

  4. W. W. Garvin, Proc. Roy. Soc. A234 (1956), 528.

    Google Scholar 

  5. A. T. De Hoop, Appl. Sci. Res. B8 (1959), 349.

    Google Scholar 

  6. G. Eason, QJMAM17 (1964), 279.

    Google Scholar 

  7. G. Eason, Mathematika11 (1964), 75.

    Google Scholar 

  8. I. N. Sneddon,Fourier transforms (McGraw-Hill, 1951).

  9. Erdelyi et al., Tables of integral transforms, I andII (McGraw-Hill, 1954).

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Mukhopadhyay, A. Disturbances produced by variable body forces in a layer of finite thickness resting on a rigid foundation. PAGEOPH 65, 29–36 (1966). https://doi.org/10.1007/BF00874950

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00874950

Keywords

Navigation