Scattering of Elastic Waves by Rigid Obstacles of Arbitrary Shape

摘要

The scattering of elastic waves by rigid obstacles of arbitrary shape is discussed in terms of an integro-differential equation similar to Kirchoff's equation. This approach has proved valuable in the treatment of acoustic scattering problems and the extension proposed is relatively straightforward. The advantage of this approach is that the problem can be formulated completely in terms of surface values of stress and strain thereby reducing the order of magnitude of the problem. From a numerical point of view this is a significant economy. Field values can be obtained from the surface values by a direct quadrature if required. A simple problem is discussed as an example of the procedure. More complicated problems are being considered as well as extensions of this approach to other boundary conditions (e.g. free, discontinuity in elastic properties, etc.). (Author)