Diffraction of Transient Elastic Waves by a Spherical Cavity

[+] Author and Article Information
F. R. Norwood, J. Miklowitz

California Institute of Technology, Pasadena, Calif.

J. Appl. Mech 34(3), 735-744 (Sep 01, 1967) (10 pages) doi:10.1115/1.3607769 History: Received December 01, 1966; Revised February 27, 1967; Online September 14, 2011


The diffraction of transient elastic waves by a spherical cavity is treated. Two cases are considered: (1) A suddenly applied normal point load, and (2) the impingement of a plane transient dilatational pulse on the cavity. The method used determines the solution only in the shadow zones; that is, those points which cannot be connected to the source of disturbance by straight-line rays. Analytical results are obtained and evaluated for the displacements at the cavity wall.

Copyright © 1967 by ASME
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