Two Analytical Solutions for Dynamic Crack Bifurcation in Antiplane Strain

[+] Author and Article Information
P. Burgers

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

J. P. Dempsey

Department of Civil and Environmental Engineering, Clarkson College of Technology, Potsdam, N.Y. 13676

J. Appl. Mech 49(2), 366-370 (Jun 01, 1982) (5 pages) doi:10.1115/1.3162095 History: Received July 01, 1981; Online July 21, 2009


A semi-infinite crack is subjected to constant magnitude, dynamic antiplane loading at time t = 0. At the same instant the crack is assumed to bifurcate and propagate normal to its original plane or to propagate without branching. For constant crack-tip velocities the stresses and particle velocity are functions of r/t and θ only, which allows Chaplygin’s transformaton and conformal mapping to be used to obtain two Riemann-Hilbert problems which can be solved analytically. Expressions for the elastodynamic Mode III stress-intensity factors are then computed as functions of the crack-tip velocity and some conclusions concerning crack initiation are drawn.

Copyright © 1982 by ASME
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