Asymptotic Fields of a Perfectly-Plastic, Plane-Stress Mode II Growing Crack

[+] Author and Article Information
P. Ponte Castañeda

Division of Applied Sciences, Harvard University, Cambridge, Mass. 02138

J. Appl. Mech 53(4), 831-833 (Dec 01, 1986) (3 pages) doi:10.1115/1.3171866 History: Received October 09, 1985; Revised January 23, 1986; Online July 21, 2009


The asymptotic near-tip stress and velocity fields are presented for a plane-stress Mode II crack propagating quasi-statically in an elastic-perfectly plastic Mises solid. The solution is found to have fully continuous stress and velocity fields, and a configuration similar to that of the anti-plane strain problem: a singular centered fan plastic sector ahead of the crack, followed by an elastic unloading sector and a constant stress plastic sector extending to the crack flank. The impossibility of a plane-stress Mode I crack solution having these properties is also discussed.

Copyright © 1986 by ASME
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