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Diffraction of time-harmonic elastic waves by a cylindrical obstacle

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Abstract

The diffraction of two-dimensional elastic waves by a cylindrical obstacle is investigated. In two-dimensional wave motions, the geometrical configuration as well as the field quantities involved are assumed to be independent of one of the Cartesian coordinates. As such, the two-dimensional theory can be considered as a special case of the three-dimensional one. Following this line of reasoning, the integral-equation formulation of two-dimensional elastodynamic diffraction problems is derived. For a number of configurations, the resulting integral equations are solved numerically. Also, numerical results pertaining to normalized power scattering characteristics and extinction cross-sections are presented.

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References

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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. Diffraction of time-harmonic elastic waves by a cylindrical obstacle. Appl. Sci. Res. 32, 97–144 (1976). https://doi.org/10.1007/BF00383709

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  • DOI: https://doi.org/10.1007/BF00383709

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