Wave Propagation in a Viscoelastic Material With Temperature-Dependent Properties and Thermomechanical Coupling

[+] Author and Article Information
Robert C. Petrof

Department of Mechanical Engineering, Northwestern University, Evanston, Ill.

Serge Gratch

Applied Research Office, Ford Motor Company, Dearborn, Mich.

J. Appl. Mech 31(3), 423-429 (Sep 01, 1964) (7 pages) doi:10.1115/1.3629658 History: Received April 24, 1963; Revised October 22, 1963; Online September 15, 2011


A numerical method is developed for the analysis of one-dimensional wave propagation in viscoelastic media with temperature-dependent properties when thermomechanical coupling is significant. The method is applied to a specific case of longitudinal wave propagation in a finite rod with essentially sinusoidal stress variation at the two ends. The results show that, contrary to the usual assumption, such a system does not have the same response as a single-degree-of-freedom elastic system with viscous damping, as long as a realistic stress-strain relation is used.

Copyright © 1964 by ASME
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