### 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 language | English |
---|---|

Pages (from-to) | 1824-1827 |

Number of pages | 4 |

Journal | Computer Physics Communications |

Volume | 182 |

Issue number | 9 |

DOIs | |

Publication status | Published - Sep 2011 |

### Fingerprint

### 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

*Computer Physics Communications*,

*182*(9), 1824-1827. https://doi.org/10.1016/j.cpc.2010.10.029

**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.

Research output: Contribution to journal › Article

*Computer Physics Communications*, vol. 182, no. 9, pp. 1824-1827. https://doi.org/10.1016/j.cpc.2010.10.029

}

TY - JOUR

T1 - Size distribution and waiting times for the avalanches of the Cell Network Model of Fracture

AU - Villalobos, Gabriel

AU - Kun, F.

AU - Linero, Dorian L.

AU - Muñoz, José D.

PY - 2011/9

Y1 - 2011/9

N2 - 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.

AB - 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.

KW - Computational mechanics of solids

KW - Finite Element Method

KW - Statistical models of fracture

UR - http://www.scopus.com/inward/record.url?scp=79958103482&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79958103482&partnerID=8YFLogxK

U2 - 10.1016/j.cpc.2010.10.029

DO - 10.1016/j.cpc.2010.10.029

M3 - Article

VL - 182

SP - 1824

EP - 1827

JO - Computer Physics Communications

JF - Computer Physics Communications

SN - 0010-4655

IS - 9

ER -