Mode III Crack Tip Plastic Zone Solution for Work Hardening Solid Using Dislocation Motion

[+] Author and Article Information
J. Weertman

Department of Materials Science and Engineering, Department of Geological Sciences, Northwestern University, Evanston, IL 60208

J. Appl. Mech 56(4), 976-977 (Dec 01, 1989) (2 pages) doi:10.1115/1.3176200 History: Received October 21, 1988; Revised March 06, 1989; Online July 21, 2009


The stress and strain field solutions for the stationary mode III crack in small-scale yielding is obtained from a direct physical picture in which the plastic strain is produced by the motion of infinitesimal dislocations. The analysis is based on a shifting center, cylindrical coordinate system. The nonredundant dislocation density is determined. The ratio of nonredundant to redundant dislocation density within the plastic zone may be a useful measure for placing cracks into a brittle class, a ductile class and semibrittle to semiductile classes.

Copyright © 1989 by ASME
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