Noise induced rupture process: Phase boundary and scaling of waiting time distribution

Abstract

A bundle of fibers has been considered here as a model for composite materials, where breaking of the fibers occur due to a combined influence of applied load (stress) and external noise. Through numerical simulation and a mean-field calculation we show that there exists a robust phase boundary between continuous (no waiting time) and intermittent fracturing regimes. In the intermittent regime, throughout the entire rupture process avalanches of different sizes are produced and there is a waiting time between two consecutive avalanches. The statistics of waiting times follows a Gamma distribution and the avalanche distribution shows power law scaling, similar to what have been observed in case of earthquake events and bursts in fracture experiments. We propose a prediction scheme that can tell when the system is expected to reach the continuous fracturing point from the intermittent phase.

6 pages, 8 figures

References in corpus (3)

• Failure Processes in Elastic Fiber Bundles
• Universal Earthquake-Occurrence Jumps, Correlations with Time, and Anomalous Diffusion
• Relaxation dynamics in strained fiber bundles

Cited by in corpus (2)

• Crack Localization and the Interplay between Stress Enhancement and Thermal Noise
• Creep failure in a threshold activated dynamics: Role of temperature during a sub-critical loading