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

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 $r(t)\propto (T_f-t{)}^{-\xi }$, 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 $<T_f>$ scales with the system size as $N^{-\delta }$, where $\delta$ 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 (2)

• Burst avalanches in solvable models of fibrous materials
• Probabilistic Approach to Time-Dependent Load-Transfer Models of Fracture

Cited by in corpus (7)

• Acoustic Emission from Paper Fracture
• Phase transition in fiber bundle models with recursive dynamics
• Time evolution of damage under variable ranges of load transfer
• Failure regime in (1+1) dimensions in fibrous materials
• Dynamic model for failures in biological systems
• Dynamic model of fiber bundles
• Fracture toughness in fibrous materials