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


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.


Surface Wave Small Amplitude Elastic Medium Dispersion Equation Plate Wave 


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  1. [1]
    A. C. Eringen,Non-linear theory of continuous media (McGraw-Hill, 1962).Google Scholar
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    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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