Failure avalanches in fiber bundles for discrete load increase

Details Failure avalanches in fiber bundles for discrete load increase Failure avalanches in fiber bundles for discrete load increase

2007-01-11

arxiv.org/abs/cond-mat/0701237v1

Phys. Rev. E 75, 046101 (2007)

Physics

Condensed Matter

Statistical Mechanics

4 pages 2 figures

Scientific paper

The statistics of burst avalanche sizes $n$ during failure processes in a fiber bundle follows a power law, $D(n)\sim n^{-\xi}$, for large avalanches. The exponent $\xi$ depends upon how the avalanches are provoked. While it is known that when the load on the bundle is increased in a continuous manner, the exponent takes the value $\xi=5/2$, we show that when the external load is increased in discrete and not too small steps, the exponent value $\xi=3$ is relevant. Our analytic treatment applies to bundles with a general probability distribution of the breakdown thresholds for the individual fibers. The pre-asymptotic size distribution of avalanches is also considered.

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