Effect of Prior Deformation on Cyclic Response of Metals

[+] Author and Article Information
K. C. Valanis

Department of Chemical Engineering, Stevens Institute of Technology, Hoboken, N. J.

J. Appl. Mech 41(2), 441-447 (Jun 01, 1974) (7 pages) doi:10.1115/1.3423307 History: Received March 01, 1973; Revised May 01, 1973; Online July 12, 2010


The paper is concerned with the theoretical prediction of cyclic hardening and cyclic softening of metals under conditions of cyclic straining. First, a constitutive equation of a hereditary type is proposed, which is based on the notion of intrinsic time, introduced recently by the author. In essence, the intrinsic time is the cumulative sum of “deformation increments” experienced by a material in the past, weighted with respect to a weighing function which is a material property. The theory predicts that an annealed metal will harden upon cyclic straining until a critical value of the intrinsic time is reached whereupon the metal will begin to soften. It is also shown that an initial strain prehistory will accelerate the onset of softening in accord with experimental observation. Finally, the “fading memory” of metals with respect to the intrinsic time scale is demonstrated and its consequences are shown to be in agreement with observation.

Copyright © 1974 by ASME
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