An Exponential Stress-Strain Law for Cyclic Plasticity

[+] Author and Article Information
M. C. M. Liu, E. Krempl

Mechanics Division, Rensselaer Polytechnic Institute, Troy, N.Y.

D. C. Nairn

Mathematical Sciences, Rensselaer Polytechnic Institute, Troy, N.Y.

J. Eng. Mater. Technol 98(4), 322-329 (Oct 01, 1976) (8 pages) doi:10.1115/1.3443384 History: Revised February 23, 1975; Received August 18, 1975; Online August 17, 2010


A previously proposed nonlinear differential constitutive equation for creep-plasticity interaction under a uniaxial state of stress is specialized for the time independent case. The characteristics of the second derivative of the stress-strain diagram are matched by an exponential function. The integration yields higher transcendental functions. For the matching of the stress-strain diagram, four easily obtainable constants are necessary at each cycle which are fed into a newly developed FORTRAN computer program. A plotting routine yields stress-strain diagrams and hysteresis loops. The procedure gives good matches for stress-strain diagrams of Type 304 stainless steel. Specifically, stress-strain diagrams for various product forms and the initial cyclic hardening of this material are reproduced quite accurately without the usual decomposition into elastic and plastic strains.

Copyright © 1976 by ASME
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