Failure avalanches in fiber bundles for discrete load increase

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.

4 pages 2 figures

Cited by in corpus (5)

• Failure Processes in Elastic Fiber Bundles
• Universality class of fiber bundles with strong heterogeneities
• A random fiber bundle with many discontinuities in the threshold distribution
• Kolkata Restaurant Problem as a generalised El Farol Bar Problem
• Effect of disorder on temporal fluctuations in drying induced cracking