Endochronic Theory of Cyclic Plasticity With Applications

[+] Author and Article Information
K. C. Valanis, C. F. Lee

College of Engineering, University of Cincinnati, Cincinnati, Ohio 45221

J. Appl. Mech 51(2), 367-374 (Jun 01, 1984) (8 pages) doi:10.1115/1.3167627 History: Received March 01, 1983; Revised August 01, 1983; Online July 21, 2009


Integral constitutive equations of the endochronic type with only two easily determined material constants are shown to predict with computational ease the stress (plastic strain) response of normalized mild steel and Grade 60 steel to a variety of general strain (stress) histories, without a need for special unloading-reloading or memory rules. These equations are derived from the endochronic theory of plasticity of isotropic materials with an intrinsic time scale defined in the plastic strain space. Close agreement between theoretical predictions and experiments is obtained in the case of normalized mild steel in a variety of uniaxial, constant, strain-amplitude histories, variable strain-amplitude histories, and cyclic relaxation. Similar results are shown in the case of Grade 60 steel subjected to a random uniaxial strain history.

Copyright © 1984 by ASME
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