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Far-field radiation characteristics of elastic waves and the elastodynamic radiation condition

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Abstract

In the present paper, a radiation condition for time-harmonic elastic waves in a homogeneous, isotropic, perfectly elastic medium is presented. It is based upon certain physical considerations pertaining to the elastodynamic radiation generated by a source of finite extent. In it, the particle displacement on and the traction across a spherical surface around the source occur. Separate conditions are imposed on the radial and the angular parts of these quantities. It is shown that the resulting far-field radiation characteristics for the particle displacement are in accordance with the properties that could be expected from the physical considerations we have started with.

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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. Far-field radiation characteristics of elastic waves and the elastodynamic radiation condition. Appl. sci. Res. 31, 363–375 (1975). https://doi.org/10.1007/BF00418047

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  • DOI: https://doi.org/10.1007/BF00418047

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