Diffusion of Self-Equilibrating End Loads in a Stretched Elastoplastic Circular Cylinder

[+] Author and Article Information
D. Durban

Faculty of Aerospace Engineering, Haifa 32000, Israel

W. J. Stronge

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

J. Appl. Mech 57(4), 805-809 (Dec 01, 1990) (5 pages) doi:10.1115/1.2897644 History: Accepted October 18, 1988; Received October 18, 1988; Online March 31, 2008


Low rates of axial diffusion are discovered for asymmetric instantaneous self-equilibrating disturbances imposed at the end of an initially stretched circular cylinder. The diffusion rates are evaluated within the framework of continuum plasticity for materials represented by the isotropic J2 flow theory. Over most of the initial stress range, a lower bound on the decay rate is provided by an eigenvalue associated with flexure. There is almost no decay for this component of a disturbance when the axial stretch is small in comparison with the stretch at necking.

Copyright © 1990 by The American Society of Mechanical Engineers
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