Wave propagation in inhomogeneous elastic media
- 1 December 1967
- journal article
- Published by Seismological Society of America (SSA) in Bulletin of the Seismological Society of America
- Vol. 57 (6) , 1267-1277
- https://doi.org/10.1785/bssa0570061267
Abstract
The propagation of waves in an inhomogeneous elastic solid whose elastic parameters depend on one space coordinate only is considered. The stress and displacement components are assumed to depend on this same space coordinate and time alone. It is shown that the wave equation, with variable wave speed, is the basic equation governing the propagation of shear waves in spherical or cylindrical coordinates as well as the propagation of longitudinal waves in a rod. The values of the elastic parameters which permit a particular simple solution are determined and some problems are then discussed for these solids.Keywords
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