Abstract
We present a method for the rigorous analysis of wave fields excited in an elastic halfspace containing a horizontal elastic cylindrical inclusion by a distributed harmonic surface load. For simplicity we illustrate the application of the method by investigating a model problem of antiplane oscillations of the composite elastic medium. We derive asymptotic representations of the solutions when the inclusion is rigidly bonded, which permit a rather simple analysis of the wave field in the medium. The proposed method can be applied without changes to similar problems in two and three dimensions. In doing this only the awkwardness of the derived relations is increased significantly.
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