Breaking rate minimum predicts the collapse point of over-loaded materials

Abstract

As a model of composite materials, we choose a bundle of fibers with stochastically distributed breaking thresholds for the individual fibers. the fibers are assumed to share the load equally and to obey Hookean elasticity right up to the breaking point. We study the evolution of the fiber breaking rate at a constant load in excess of the critical load. The analysis shows that the breaking rate reaches a minimum when the system is half-way from its complete collapse.

5 pages, 6 figures, submitted to Phys. Rev. E

References in corpus (2)

• Crossover behavior in failure avalanches
• Relaxation dynamics in strained fiber bundles

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