pure and applied geophysics

, Volume 93, Issue 1, pp 5–18 | Cite as

Wave-propagation in uniaxially-stressed elastic media

  • A. J. Willson


The propagation of waves of small amplitude in an elastic medium, with a particular form of strain-energy function, and subjected to a large homogeneous uniaxial stress, is considered in detail. The main characteristics, including speed and polarisation, of these waves in an unbounded medium are calculated numerically, and the existence and general properties of Rayleigh waves on the surface of a semi-infinite medium are investigated.


General Property Small Amplitude Rayleigh Wave Elastic Medium Uniaxial Stress 
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  1. [1]
    C. Truesdell, Arch. ration. Mech. Analysis8 (1961), 263.Google Scholar
  2. [2]
    F. John, Communs. pure appl. Math.19 (1966), 309.Google Scholar
  3. [3]
    M. Hayes, Quart. Jnl. Mech. Appl. Math.XXI (1968), 141.Google Scholar
  4. [4]
    M. Hayes andR. S. Rivlin, Arch. ration. Mech. Analysis8 (1961), 358.Google Scholar
  5. [5]
    Y. Obate, S. Kawabate andH. Kawai, J. Polym. Sci. A-2,8 (1970), 903.Google Scholar
  6. [6]
    A. C. Eringen,Non-linear theory of continuous media (McGraw-Hill, 1962).Google Scholar
  7. [7]
    K. De, Pure and Appl. Geophys.80 (1970/III), 114.Google Scholar

Copyright information

© Birkhäuser Verlag 1972

Authors and Affiliations

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

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