Large Deflections of an Elastoplastic Strain-Hardening Cantilever

[+] Author and Article Information
J. H. Liu, W. J. Stronge, T. X. Yu

Department of Engineering, University of Cambridge, Cambridge, U.K. CB2 1PZ

J. Appl. Mech 56(4), 737-743 (Dec 01, 1989) (7 pages) doi:10.1115/1.3176166 History: Received November 08, 1988; Revised February 14, 1989; Online July 21, 2009


This theoretical analysis of an elastoplastic cantilever examines the effects of linear strain-hardening and the development of partial elastic unloading when deflections become large. For a vertical force at the tip, unloading modifies the distribution of curvature in a substantial internal segment after the deflections become very large, but it has a negligible effect on the tip displacement. The analysis uses a bilinear stress-strain constitutive relation that results in slightly better agreement with previous experiments than a corresponding bilinear approximation for the moment-curvature relation.

Copyright © 1989 by ASME
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