Size distribution and waiting times for the avalanches of the Cell Network Model of Fracture

Gabriel Villalobos, F. Kun, Dorian L. Linero, José D. Muñoz

Research output: Contribution to journalArticle

Abstract

The Cell Network Model is a fracture model recently introduced that resembles the microscopical structure and drying process of the parenchymatous tissue of the Bamboo Guadua angustifolia. The model exhibits a power-law distribution of avalanche sizes, with exponent -3.0 when the breaking thresholds are randomly distributed with uniform probability density. Hereby we show that the same exponent also holds when the breaking thresholds obey a broad set of Weibull distributions, and that the humidity decrements between successive avalanches (the equivalent to waiting times for this model) follow in all cases an exponential distribution. Moreover, the fraction of remaining junctures shows an exponential decay in time. In addition, introducing partial breakings and cumulative damages induces a crossover behavior between two power-laws in the histogram of avalanche sizes. This results support the idea that the Cell Network Model may be in the same universality class as the Random Fuse Model.

Original languageEnglish
Pages (from-to)1824-1827
Number of pages4
JournalComputer Physics Communications
Volume182
Issue number9
DOIs
Publication statusPublished - Sep 2011

Fingerprint

avalanches
cells
cumulative damage
exponents
Bamboo
thresholds
fuses
Weibull distribution
Electric fuses
histograms
drying
humidity
Atmospheric humidity
crossovers
Drying
Tissue
damage
decay

Keywords

  • Computational mechanics of solids
  • Finite Element Method
  • Statistical models of fracture

ASJC Scopus subject areas

  • Hardware and Architecture
  • Physics and Astronomy(all)

Cite this

Size distribution and waiting times for the avalanches of the Cell Network Model of Fracture. / Villalobos, Gabriel; Kun, F.; Linero, Dorian L.; Muñoz, José D.

In: Computer Physics Communications, Vol. 182, No. 9, 09.2011, p. 1824-1827.

Research output: Contribution to journalArticle

Villalobos, Gabriel ; Kun, F. ; Linero, Dorian L. ; Muñoz, José D. / Size distribution and waiting times for the avalanches of the Cell Network Model of Fracture. In: Computer Physics Communications. 2011 ; Vol. 182, No. 9. pp. 1824-1827.
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