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

Shu-dong Zhang

doi:10.1103/PhysRevE.59.1589

paper

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

arXiv:cond-mat/9811297 · doi:10.1103/PhysRevE.59.1589

Abstract

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 $r (t) \propto (T_{f} - t)^{- ξ}$ , where $T_{f}$ is the lifetime of the bundle, and $ξ \approx 1.0$ is a quite universal scaling exponent. The average lifetime of the bundle $< T_{f} >$ scales with the system size as $N^{- δ}$ , where $δ$ depends on the distribution of individual fiber as well as the breakdown rule.

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

References in corpus (1)

Probabilistic Approach to Time-Dependent Load-Transfer Models of Fracture

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

Abstract

References in corpus (1)

Cited by in corpus (7)