Fracture model with variable range of interaction

Raul Cruz Hidalgo, Yamir Moreno, F. Kun, Hans J. Herrmann

Research output: Contribution to journalArticle

102 Citations (Scopus)

Abstract

We introduce a fiber bundle model where the interaction among fibers is modeled by an adjustable stress-transfer function that can interpolate between the two limiting cases of load redistribution, i.e., the global and the local load sharing schemes. By varying the range of interaction, several features of the model are numerically studied and a crossover from mean-field to short-range behavior is obtained. The properties of the two regimes and the emergence of the crossover in between are explored by numerically studying the dependence of the ultimate strength of the material on the system size, the distribution of avalanches of breakings, and of the cluster sizes of broken fibers. Finally, we analyze the moments of the cluster size distributions to accurately determine the value at which the crossover is observed.

Original languageEnglish
Number of pages1
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume65
Issue number4
DOIs
Publication statusPublished - Jan 1 2002

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Crossover
crossovers
fibers
Interaction
Fiber
Range of data
stress functions
Load Sharing
Fiber Bundle
Avalanche
interactions
Redistribution
transfer functions
Mean Field
Transfer Function
avalanches
bundles
Limiting
Interpolate
Model

ASJC Scopus subject areas

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

Cite this

Fracture model with variable range of interaction. / Hidalgo, Raul Cruz; Moreno, Yamir; Kun, F.; Herrmann, Hans J.

In: Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 65, No. 4, 01.01.2002.

Research output: Contribution to journalArticle

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