Endochronic Analysis of Cyclic Elastoplastic Strain Fields in a Notched Plate

[+] Author and Article Information
K. C. Valanis, J. Fan

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

J. Appl. Mech 50(4a), 789-794 (Dec 01, 1983) (6 pages) doi:10.1115/1.3167147 History: Received January 01, 1983; Revised April 01, 1983; Online July 21, 2009


In this paper we present an analytical cum-numerical scheme, based on endochronic plasticity and the finite element formalism. The scheme is used to calculate the stress and elastoplastic strain fields in a plate loaded cyclically in its own plane along its outer edges and bearing two symmetrically disposed edge notches. One most important result that stands out is that while the external loading conditions are symmetric and periodic, the histories of stress and strain at the notch tip are neither symmetric nor periodic in character. In cyclic tension ratcheting phenomena at the tip of the notches prevail and a progressive change of the residual stress field at the notch line is shown to occur.

Copyright © 1983 by ASME
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