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Failure avalanches in fiber bundles for discrete load increase | | Per C. Hemmer
; Srutarshi Pradhan
; | | Date: |
11 Jan 2007 | | Subject: | Statistical Mechanics; Soft Condensed Matter | | Abstract: | 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. | | Source: | arXiv, cond-mat/0701237 | | Other source: | [GID 783055] pmid17500955 | | Services: | Forum | Review | PDF | Favorites | |
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