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RESEARCH PAPERS

Transient Response of a Rigid Spherical Inclusion in an Elastic Medium

[+] Author and Article Information
C. C. Mow

The RAND Corporation, Santa Monica, Calif.

J. Appl. Mech 32(3), 637-642 (Sep 01, 1965) (6 pages) doi:10.1115/1.3627271 History: Received October 22, 1964; Online September 15, 2011

Abstract

The transient response of a rigid spherical inclusion of arbitrary density embedded in an elastic medium owing to an incident pulse is examined in this paper. The Fourier-integral method is used, and an exact solution of the response is obtained. It is found that the acceleration and velocity of the inclusion are substantially different from those of the medium. A slight difference in the time history of the displacement between the inclusion and the medium is also noted.

Copyright © 1965 by ASME
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