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TECHNICAL PAPERS

The Singular Stress Field of a Crack Terminating at a Frictional Interface Between Two Materials

[+] Author and Article Information
A. C. Wijeyewickrema, J. Dundurs, L. M. Keer

Department of Civil Engineering, Northwestern University, Evanston, IL 60208

J. Appl. Mech 62(2), 289-293 (Jun 01, 1995) (5 pages) doi:10.1115/1.2895930 History: Received January 19, 1993; Revised July 15, 1993; Online October 30, 2007

Abstract

The problem of a crack terminating at an interface between two materials which is governed by Coulomb’s law of friction is studied using Mellin integral transforms. Depending on the relative slip directions of the two wedges that are created by the crack, both the case of the two wedges moving in opposite directions and that of the two wedges moving in the same direction are treated. The characteristic equations which yield the order of the crack-tip singularity are obtained in terms of the Dundurs constants, the inclination of the crack and the coefficient of friction. For the special case when the crack is perpendicular to the interface and the two wedges slip in opposite directions, it is shown that the problem decouples into mode I (symmetric) and mode II (antisymmetric) cracks, and numerical results are presented for this case.

Copyright © 1995 by The American Society of Mechanical Engineers
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