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The propagation of surface waves in elastic mediums with slightly curved boundaries of sinusoidal type

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Summary

The effect of slightly curved boundaries (free surfaces and interfaces) of the elastic mediums on the components of displacement of a particle in a medium due to the propagation of the surface waves has been investigated in this paper. It has been found that along with the usual displacement components for stratified boundaries (designated here as primary components), there exist secondary displacement components arising from the presence of curvature in the boundaries. They are constituted of different harmonic components with their amplitudes proportional to the parameters which measure the extent of curvature of the boundaries. The wave numbers of these harmonic constituents are related to those of the primary components in a definite way decided by the shapes of the boundaries.

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References

  1. I. Abubakar,Buried Compressional Line source in a Half-space with an Irregular Boundary, J. Phys. Earth (Tokyo)10, 1 (1962), 21.

    Google Scholar 

  2. J. de Noyer,The Effect of Variations in Layer Thickness on Love Waves, Bull. Seismol. Soc. Am.51, 2 (1961), 227.

    Google Scholar 

  3. E. H. Handelman,Surface Waves over a Slightly Curved Elastic Half-space, Progress in Applied Mechanics, Prager Anniversary Volume (Macmillan, New York 1963), 43.

    Google Scholar 

  4. John T. Kuo andJohn E. Nafe,Period Equation for Rayleigh Waves in a Layer overlying a Half-space with Sinusoidal Interface, Bull. Seismol. Soc. Am.52, 4 (1962), 807.

    Google Scholar 

  5. A. K. Mal,On the Frequency Equation for Love Waves due to Abrupt Thickening of the Crustal Layer, Geofis. Pura e Appl.52 (1962), 59.

    Article  Google Scholar 

  6. R. Sato,Love Waves in case the Surface Layer is variable in Thickness, J. Phys. Earth (Tokyo)9, 2 (1961), 19.

    Google Scholar 

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Authors and Affiliations

  1. 23, Khudiram Bose Road, Calcutta-6, India

    Mrinal K. Paul

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  1. Mrinal K. Paul
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Paul, M.K. The propagation of surface waves in elastic mediums with slightly curved boundaries of sinusoidal type. PAGEOPH 62, 105–117 (1965). https://doi.org/10.1007/BF00875291

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  • DOI: https://doi.org/10.1007/BF00875291

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