Determination of the Unloading Boundary in Longitudinal Elastic-Plastic Stress Wave Propagation

[+] Author and Article Information
P. A. Tuschak

Department of Engineering Mechanics, Ohio State University, Columbus, Ohio

A. B. Schultz

Department of Materials Engineering, University of Illinois at Chicago Circle, Chicago, Ill.

J. Appl. Mech 38(4), 888-894 (Dec 01, 1971) (7 pages) doi:10.1115/1.3408971 History: Received June 16, 1970; Online July 12, 2010


For several types of excitation of one-dimensional elastic-plastic stress waves in a rod, unloading waves propagate which interact with the loading waves. The moving boundary at which this interaction occurs is the unloading boundary. A knowledge of the location of this boundary and the behavior exhibited on it is necessary for the solution of wave-propagation problems of this kind. A technique is presented to obtain an arbitrary number of terms in series expressions describing the response in semi-infinite rods. Several examples, including finite mass impact of the rod, are given to illustrate the use of the technique. The technique will determine the initial portion of the boundary in a finite length rod.

Copyright © 1971 by ASME
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