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BRIEF NOTES

Nature of Stress Singularities at the Reentrant Wedge Corner for a Branched Crack Problem

[+] Author and Article Information
A. S. Selvarathinam and

University of Tennessee, Knoxville, TN 37996-2030, Department of Mechanical Engineering, Clemson University, Clemson, SC 29634-0921

J. G. Goree

Department of Mechanical Engineering, Clemson University, Clemson, SC 29634-0921

J. Appl. Mech 66(1), 278-280 (Mar 01, 1999) (3 pages) doi:10.1115/1.2789163 History: Received June 28, 1996; Revised November 07, 1998; Online October 25, 2007

Abstract

The solution of the branched crack problem for an isotropic material, employing the dislocation method as developed by Lo (1978), results in a singular integral equation in which the slope of the crack-opening displacement is the unknown. In this brief note, using the function-theoretic method, the behavior of this unknown function is investigated at the corner where the branched and main crack meet and it is shown that the order of stress singularity obtained at the reentrant corner of the branched crack is given by the Williams’ (1952) characteristic equation for the isotropic wedge.

Copyright © 1999 by The American Society of Mechanical Engineers
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