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RESEARCH PAPERS

A Tension Crack Impinging Upon Frictional Interfaces

[+] Author and Article Information
Anna Dollar, Paul S. Steif

Department of Mechanical Engineering, Carnegie-Mellon University, Pittsburgh, Pa. 15213

J. Appl. Mech 56(2), 291-298 (Jun 01, 1989) (8 pages) doi:10.1115/1.3176081 History: Received March 16, 1988; Revised October 10, 1988; Online July 21, 2009

Abstract

A crack impinging normally upon a frictional interface is studied theoretically. We employ a solution technique which superposes the solution of a crack in a perfectly-bonded elastic medium with a continuous distribution of dislocations which represent slippage at the frictional interface. This procedure reduces the problem to a singular integral equation which is solved numerically. Specifically, we consider the problem of an infinite sheet subjected to uniaxial tension containing a finite crack which lies normal to the tension axis and has both crack tips impinging normally on frictional interfaces. The limiting problem of a semi-infinite crack impinging on a frictional interface is considered as well. Posed as model problems for cracking in weakly bonded fiber composites, these studies reveal the effective blunting that can result when a weak interface serves to deflect a propagating crack.

Copyright © 1989 by ASME
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