Size Scaling and Bursting Activity in Thermally Activated Breakdown of Fiber Bundles

Naoki Yoshioka, Ferenc Kun, and Nobuyasu Ito
Phys. Rev. Lett. 101, 145502 – Published 3 October 2008

Abstract

We study subcritical fracture driven by thermally activated damage accumulation in the framework of fiber bundle models. We show that in the presence of stress inhomogeneities, thermally activated cracking results in an anomalous size effect; i.e., the average lifetime tf decreases as a power law of the system size tfLz, where the exponent z depends on the external load σ and on the temperature T in the form zf(σ/T3/2). We propose a modified form of the Arrhenius law which provides a comprehensive description of thermally activated breakdown. Thermal fluctuations trigger bursts of breakings which have a power law size distribution.

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  • Received 28 February 2008

DOI:https://doi.org/10.1103/PhysRevLett.101.145502

©2008 American Physical Society

Authors & Affiliations

Naoki Yoshioka1, Ferenc Kun2, and Nobuyasu Ito1

  • 1Department of Applied Physics, Graduate School of Engineering, The University of Tokyo, 7-3-1, Hongo, Bunkyo-ku, Tokyo, 113-8656, Japan
  • 2Department of Theoretical Physics, University of Debrecen, P.O. Box 5, H-4010 Debrecen, Hungary

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Issue

Vol. 101, Iss. 14 — 3 October 2008

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