Scaling in the time-dependent failure of a fiber bundle with local load sharing

Details Scaling in the time-dependent failure of a fiber bundle with local load sharing Scaling in the time-dependent failure of a fiber bundle with local load sharing

1998-11-20

arxiv.org/abs/cond-mat/9811297v1

Phys. Rev. E 59, 1589 (1999).

Physics

Condensed Matter

Disordered Systems and Neural Networks

5 pages, 4 eps figures; to appear in Phys. Rev. E

Scientific paper

10.1103/PhysRevE.59.1589

We study the scaling behaviors of a time-dependent fiber-bundle model with local load sharing. Upon approaching the complete failure of the bundle, the breaking rate of fibers diverges according to $r(t)\propto (T_f-t)^{-\xi}$, where $T_f$ is the lifetime of the bundle, and $\xi \approx 1.0$ is a quite universal scaling exponent. The average lifetime of the bundle $$ scales with the system size as $N^{-\delta}$, where $\delta$ depends on the distribution of individual fiber as well as the breakdown rule.

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