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Crossover Behavior in Burst Avalanches of Fiber Bundles: Signature of Imminent Failure

Srutarshi Pradhan·Alex Hansen·Per C. Hemmer
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Abstract

Bundles of many fibers, with statistically distributed thresholds for breakdown of individual fibers and where the load carried by a bursting fiber is equally distributed among the surviving members, are considered. During the breakdown process, avalanches consisting of simultaneous rupture of several fibers occur, with a distribution D(Delta) of the magnitude Delta of such avalanches. We show that there is, for certain threshold distributions, a crossover behavior of D(Delta) between two power laws D(Delta) proportional to Delta^(-xi), with xi=3/2 or xi=5/2. The latter is known to be the generic behavior, and we give the condition for which the D(Delta) proportional to Delta^(-3/2) behavior is seen. This crossover is a signal of imminent catastrophic failure in the fiber bundle. We find the same crossover behavior in the fuse model.

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Srutarshi Pradhan, Alex Hansen, Per C. Hemmer. 2005-01-21. Crossover Behavior in Burst Avalanches of Fiber Bundles: Signature of Imminent Failure. https://doi.org/10.1103/physrevlett.95.125501

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