Avalanche dynamics of fiber bundle models

R. C. Hidalgo, F. Kun, K. Kovács, I. Pagonabarraga

Research output: Article

30 Citations (Scopus)

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.

Original languageEnglish
Article number051108
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume80
Issue number5
DOIs
Publication statusPublished - nov. 10 2009

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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