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Surface and plate waves in biaxially-stressed elastic media

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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.

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References

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

  2. W. Ewing, W. Jardetzky, F. Press,Elastic waves in layered media (McGraw-Hill, 1957).

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Authors and Affiliations

  1. Department of Mathematics, University of Leicester, Leicester, England

    A. J. Willson

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  1. A. J. Willson
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Willson, A.J. Surface and plate waves in biaxially-stressed elastic media. PAGEOPH 102, 182–192 (1973). https://doi.org/10.1007/BF00876606

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  • DOI: https://doi.org/10.1007/BF00876606

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