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Avalanche dynamics of fiber bundle models

R. C. Hidalgo1, F. Kun2, K. Kovács2, and I. Pagonabarraga3

  • 1AMADE, Departament de Física, Universitat de Girona, 17071 Girona, Spain
  • 2Department of Theoretical Physics, University of Debrecen, P.O. Box 5, H-4010 Debrecen, Hungary
  • 3Departament de Física Fonamental, Universitat de Barcelona, 08028 Barcelona, Spain

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Phys. Rev. E 80, 051108 – Published 10 November, 2009

DOI: https://doi.org/10.1103/PhysRevE.80.051108

Abstract

We present a detailed analytical and numerical study of the avalanche distributions of the continuous damage fiber bundle model (CDFBM). Linearly elastic fibers undergo a series of partial failure events which give rise to a gradual degradation of their stiffness. We show that the model reproduces a wide range of mechanical behaviors. We find that macroscopic hardening and plastic responses are characterized by avalanche distributions, which exhibit an algebraic decay with exponents between 5/2 and 2 different from those observed in mean-field fiber bundle models. We also derive analytically the phase diagram of a family of CDFBM which covers a large variety of potential avalanche size distributions. Our results provide a unified view of the statistics of breaking avalanches in fiber bundle models.

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Phys. Rev. E 80, 051108– Published 10 November, 2009
  • Received 11 May 2009

© 2009 American Physical Society

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