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Scattering of plane, elastic waves by a plane crack of finite width

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Abstract

The diffraction of time-harmonic, vertically polarized, plane elastic waves by a crack of finite width is investigated with the aid of the integral-equation method. Using the integral representation for the particle displacement of the scattered field together with the constitutive equation, it is shown that the resulting integral equations uncouple for this kind of obstacle. In them, the amount by which the components of particle displacement jump across the crack occur as unknown quantities. The integral equations are solved numerically. Normalized power scattering characteristics and scattering cross-sections are computed.

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Author notes

  1. T. H. Tan

    Present address: Koninklijke/Shell Exploratie en Produktie Laboratorium, Volmerlaan 6, Rijswijk, The Netherlands

Authors and Affiliations

  1. Dept. of Elect. Eng., Div. of Electromagnetic Res., Delft Univ. of Technology, Delft, The Netherlands

    T. H. Tan

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  1. T. H. Tan
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Additional information

The research reported in this paper has been supported by the Netherlands organization for the advancement of pure research (Z.W.O.).

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Tan, T.H. Scattering of plane, elastic waves by a plane crack of finite width. Appl. Sci. Res. 33, 75–88 (1977). https://doi.org/10.1007/BF00383193

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  • DOI: https://doi.org/10.1007/BF00383193

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