Stress Relaxation in Combined Torsion-Tension

[+] Author and Article Information
W. Goldberg

Department of Mechanics, Air Force Institute of Technology, Wright Patterson Air Force Base, Ohio

G. Lianis

Department of Aeronautics, Astronautics, and Engineering Sciences, Purdue University, Lafayette, Ind.

J. Appl. Mech 37(1), 53-60 (Mar 01, 1970) (8 pages) doi:10.1115/1.3408489 History: Received January 30, 1968; Revised June 10, 1969; Online July 12, 2010


In this paper we briefly examine the form of the isothermal constitutive relation of an isotropic simple material under stress-relaxation conditions. We then compare the predictions of the Signorini form of the Bernstein, Kearsley, Zapas elastic fluid theory and the Lianis constitutive equation for single-step stress-relaxation histories and show that they are identical. Using these theories, we develop theoretical expressions for the torque and axial force in combined torsion-tension stress relaxation. Experiments were performed on samples of an SBR polymer, and the observed response is compared with theoretical predictions.

Copyright © 1970 by ASME
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