Local load sharing fiber bundles with a lower cutoff of strength disorder

Abstract

We study the failure properties of fiber bundles with a finite lower cutoff of the strength disorder varying the range of interaction between the limiting cases of completely global and completely local load sharing. Computer simulations revealed that at any range of load redistribution there exists a critical cutoff strength where the macroscopic response of the bundle becomes perfectly brittle, i.e. linearly elastic behavior is obtained up to global failure, which occurs catastrophically after the breaking of a small number of fibers. As an extension of recent mean field studies [Phys. Rev. Lett. 95, 125501 (2005)], we demonstrate that approaching the critical cutoff, the size distribution of bursts of breaking fibers shows a crossover to a universal power law form with an exponent 3/2 independent of the range of interaction.

4 pages, 4 figures

Cited by in corpus (9)

• Continuous Damage Fiber Bundle Model for Strongly Disordered Materials
• A random fiber bundle with many discontinuities in the threshold distribution
• Record breaking bursts in a fiber bundle model of creep rupture
• Avalanche dynamics in higher dimensional fiber bundle models
• Disorder induced brittle to quasi-brittle transition in fiber bundles
• Transition from localized to mean field behaviour of cascading failures in the fiber bundle model on complex networks
• Brittle to quasibrittle transition in a compound fiber bundle
• Size scaling of failure strength at high disorder
• Failure process of fiber bundles with random misalignment