Reflection and Transmission of Elastic-Plastic Spherical Waves at a Spherical Interface

[+] Author and Article Information
M. G. Srinivasan

Components Technology Division, Argonne National Laboratory, Argonne, Ill.

J. Appl. Mech 42(4), 837-841 (Dec 01, 1975) (5 pages) doi:10.1115/1.3423716 History: Received January 01, 1975; Revised May 01, 1975; Online July 12, 2010


When a spherical wave is incident on a spherical interface of two different elastic-plastic, rate-independent materials, which of the many different admissible cases of reflection and transmission will actually occur must be determined in order to extend any numerical solution for subsequent times. An analytical method for this determination in terms of the known solution for times just prior to the incidence of the wave is outlined. The wave considered may be either an acceleration wave or a shock wave. The discontinuity conditions across the wave fronts and the continuity of displacement at the interface form the basis of this method and examples are given for illustration.

Copyright © 1975 by ASME
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