pure and applied geophysics

, Volume 90, Issue 1, pp 38–52 | Cite as

Wave propagation in two layered medium under initial stresses

  • Sukhendu Dey


In this paper, the frequency equation for phase velocity of waves propagated in a laminated medium consisting of two eleastic layers of finite thickness under initial stresses, has been obtained. It has been shown that when wave length becomes very small compared to the thickness of each layer, the wave approaches two Rayleigh waves at the two outer surfaces with the possibility of Stoneley waves at the interface. The propagation ofSH-waves in the composite medium under initial stresses has also been discussed. A particular case has been taken to find the velocity of Love wave in the homogeneous half space under initial compressive stresses.Biot's incremental deformation theory has been used.


Wave Propagation Compressive Stress Phase Velocity Wave Length Biot 
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  1. [1]
    M. A. Biot,Mechanics of Incremental Deformations (John Wiley and Sons, 1965).Google Scholar
  2. [2]
    J. P. Jones,Wave Propagation in Two Layered Medium, J. of App. Mecyanics [Series E],31 (1964), 213–222.Google Scholar
  3. [3]
    S. Dey,Love Wave under Initial Stress, in the Thesis submitted to Ranchi University (1970).Google Scholar

Copyright information

© Birkhäuser Verlag 1971

Authors and Affiliations

  • Sukhendu Dey
    • 1
  1. 1.Department of Physics and MathematicsIndian School of MinesDhanbad(India)

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