Burst avalanches in bundles of fibers: Local versus global load-sharing

Bursts in bundles of many parallel fibers with stochastically distributed failure thresholds are studied. The distribution of the sizes Δ of burst avalanches has a power-law behavior, ∞Δ -ξ. When the load is shared equally among surviving fibers, the power-law exponent is ξ=2.5. When, however, the i...

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Bibliographic Details
Published in:Physics letters. A 1994-01, Vol.184 (6), p.394-396
Main Authors: Hansen, Alex, Hemmer, P.C.
Format: Article
Language:English
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Summary:Bursts in bundles of many parallel fibers with stochastically distributed failure thresholds are studied. The distribution of the sizes Δ of burst avalanches has a power-law behavior, ∞Δ -ξ. When the load is shared equally among surviving fibers, the power-law exponent is ξ=2.5. When, however, the increased stresses that result from a fiber failure are concentrated to the nearest-neighbor fibers, the exponent is considerably higher, for randomly distributed thresholds ξ=4.5.
ISSN:0375-9601
1873-2429
DOI:10.1016/0375-9601(94)90511-8