A method is presented for calculating the stress relaxation due to scission in elastomeric components that operate at a fixed deformation while at an elevated temperature. A relationship is established between stresses at different temperatures that is called the correspondence principle for scission/healing materials. Two examples involving cylinders illustrate its use. The first example involves combined tension-torsion, for which an axial force-twisting moment relation is derived, that might be useful in experimental studies to assess the applicability of the correspondence principle. The second example provides a criterion for estimating the lifetime of an annular seal.
A Correspondence Principle for Scission-Induced Stress Relaxation in Elastomeric Components
Contributed by the Applied Mechanics Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS for publication in the THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS. Manuscript received by the Applied Mechanics Division, March 26, 2002; final revision, October 30, 2003. Associate Editor: K. R. Rajagopal. Discussion on the paper should be addressed to the Editor, Prof. Robert M. McMeeking, Journal of Applied Mechanics, Department of Mechanical and Environmental Engineering, University of California—Santa Barbara, Santa Barbara, CA 93106-5070, and will be accepted until four months after final publication of the paper itself in the ASME JOURNAL OF APPLIED MECHANICS.
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Wineman, A., and Shaw, J. (January 27, 2005). "A Correspondence Principle for Scission-Induced Stress Relaxation in Elastomeric Components ." ASME. J. Appl. Mech. November 2004; 71(6): 769–773. https://doi.org/10.1115/1.1794701
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