On Wave Propagation in Thermoplastic Media

[+] Author and Article Information
A. D. Fine

Pratt & Whitney Aircraft, Division of United Aircraft Corporation, East Hartford, Conn.

H. Kraus

Mechanics Department, State University of New York, Stony Brook, N. Y.

J. Appl. Mech 33(3), 514-520 (Sep 01, 1966) (7 pages) doi:10.1115/1.3625116 History: Received April 09, 1965; Revised November 09, 1965; Online September 15, 2011


The dynamic behavior of a medium, according to the uncoupled thermoplastic theory, is presented and is compared to the behavior that would be obtained from an uncoupled quasi-static analysis. Since the inertia terms are retained in the equations of motion, wave fronts (or surfaces of discontinuity) are produced in the medium. The normal velocity of the wave front separating the elastic and plastic regions is determined. General closed-form solutions of the displacement (according to both the dynamic and the quasi-static approaches) are obtained; their unique forms are found for the semi-infinite region, and an illustrative numerical example is then presented.

Copyright © 1966 by ASME
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