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

Srutarshi Pradhan, Anjan Kumar Chandra, and Bikas K. Chakrabarti
Phys. Rev. E 88, 012123 – Published 18 July 2013

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 Γ distribution and the avalanche distribution shows power-law scaling, similar to what has been observed in the 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.

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  • Received 29 June 2012

DOI:https://doi.org/10.1103/PhysRevE.88.012123

©2013 American Physical Society

Authors & Affiliations

Srutarshi Pradhan*

  • Sintef Petroleum Research, N-7465 Trondheim, Norway

Anjan Kumar Chandra and Bikas K. Chakrabarti

  • Saha Institute of Nuclear Physics, 1/AF Bidhannagar, Kolkata, India

  • *srutarshi.pradhan@sintef.no; srutarshi@gmail.com
  • anjanphys@gmail.com
  • bikask.chakrabarti@saha.ac.in

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Issue

Vol. 88, Iss. 1 — July 2013

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