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pure and applied geophysics

, Volume 102, Issue 1, pp 182–192 | Cite as

Surface and plate waves in biaxially-stressed elastic media

  • A. J. Willson
Article

Summary

The propagation of waves of small amplitude in an incompressible elastic medium subjected to a large homogeneous equibiaxial stress is investigated. The dispersion equation for surface waves on a semi-infinite medium is obtained explicitly, and the dispersion equation for waves in a slab of finite depth. In the latter case, approximate values, valid for waves whose lengths are much greater than the slab thickness, are determined for the phase-velocities of the different modes.

Keywords

Surface Wave Small Amplitude Elastic Medium Dispersion Equation Plate Wave 
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.

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References

  1. [1]
    A. C. Eringen,Non-linear theory of continuous media (McGraw-Hill, 1962).Google Scholar
  2. [2]
    W. Ewing, W. Jardetzky, F. Press,Elastic waves in layered media (McGraw-Hill, 1957).Google Scholar
  3. [3]
    R. W. Ogden, Proc. Roy. Soc. Lond. A 326, (1972), 565.Google Scholar

Copyright information

© Birkhäuser Verlag 1973

Authors and Affiliations

  • A. J. Willson
    • 1
  1. 1.Department of MathematicsUniversity of LeicesterLeicesterEngland

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