The Distribution of Simultaneous Fiber Failures in Fiber Bundles

[+] Author and Article Information
Per C. Hemmer

Institutt for Fysikk, Norges Tekniske Ho̸gskole, N-7034 Trondheim, Norway

Alex Hansen

Group Matière Condensée et Matériaux, Université de Rennes 1, F-35042 Rennes Cedex, France

J. Appl. Mech 59(4), 909-914 (Dec 01, 1992) (6 pages) doi:10.1115/1.2894060 History: Received May 14, 1991; Revised November 18, 1991; Online March 31, 2008


A bundle of many parallel fibers, with stochastically distributed thresholds for individual fibers, is loaded until complete failure. Equal load sharing is assumed. During the breakdown process, bursts of several fibers breaking simultaneously at a given load occur. We determine the expected number of such bursts before complete failure, as well as the frequency of bursts in which Δ fibers break simultaneously. This distribution follows asymptotically a universal power-law Δ−5/2 , for any statistical distribution of the individual fiber strengths.

Copyright © 1992 by The American Society of Mechanical Engineers
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