Exact Solutions of Some Shear Dislocation Problems Involving a Stopping Effect

[+] Author and Article Information
Gwolong Lai

Department of Construction Engineering, National Yunlin Institute of Technology, Yunlin, Taiwan 640, R.O.C.

A. R. Robinson

Department of Civil Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801

J. Appl. Mech 64(1), 183-192 (Mar 01, 1997) (10 pages) doi:10.1115/1.2787271 History: Received July 24, 1995; Revised March 21, 1996; Online October 25, 2007


An analytical approach is developed for dealing with the sudden stopping of a shear dislocation that acts over an expanding circular or elliptical region. The analysis begins with the case of circular region. Despite the fact that this problem is not self-similar, it has been possible to express the solution as a superposition of several self-similar problems that have different degrees of homogeneity. The use of a new rotational superposition technique that includes a stretching effect developed by the authors allows the extension to elliptical shear dislocation problems.

Copyright © 1997 by The American Society of Mechanical Engineers
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