Diffraction of Plane (Spherical) Waves by a Spherical Barrier Supported by a Thin-Walled Shell
In Chap. 3, we have considered the problems of interaction of waves with a spherical barrier (a cavity, an absolutely stiff or elastic sphere) separated from a surrounding elastic medium by a thick-walled spherical shell. Though, we have derived an exact solution, the computations required are quite complicated. However, in many practically important cases, a shell to be analyzed is sufficiently thin so that its motion can be described by the equations of thinwalled shells (Sect. 1.3). When using such a statement, the solution can be simplified significantly since in the model of thin-walled shells we ignore the waves propagating through the barrier within its thickness. Thus, the difficulties of computations, when solving such problems, turn out to be similar to those when the shell is ignored completely (Chap. 4). Only the order of polynomials in the images of the functions sought in the resulting relationships will be different.
KeywordsElastic Wave Elastic Medium Spherical Shell Spherical Cavity Internal Problem
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