Dynamic Propagation of a Kinked or Bifurcated Crack in Antiplane Strain

[+] Author and Article Information
P. Burgers

Department of Mechanical Engineering and Applied Mechanics, University of Pennsylvania, Philadelphia, Pa. 19104

J. Appl. Mech 49(2), 371-376 (Jun 01, 1982) (6 pages) doi:10.1115/1.3162096 History: Received August 01, 1981; Revised December 01, 1981; Online July 21, 2009


An initially unloaded, semi-infinite, stationary crack is assumed to kink or bifurcate at time t=0 and the new crack tip(s) propagate out along a straight line at a constant velocity vCT . A Green’s function, consisting of a dislocation whose Burgers vector is growing linearly with time, that is suddenly emitted from the tip of a stress-free semi-infinite crack and propagates out along the kinked crack line at constant velocity u, is used to form a Cauchy singular integral equation. This equation is solved using standard numerical techniques and the stress-intensity factor is obtained as a function of crack-tip speed vCT and kink angle δ. The bifurcation case is treated in a similar manner. Finally, some conclusions concerning crack initiation and propagation are drawn.

Copyright © 1982 by ASME
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