Fibers on a graph with local load sharing

Abstract

We study a random fiber bundle model with tips of the fibers placed on a graph having co-ordination number 3. These fibers follow local load sharing with uniformly distributed threshold strengths of the fibers. We have studied the critical behaviour of the model numerically using a finite size scaling method and the mean field critical behaviour is established. The avalanche size distribution is also found to exhibit a mean field nature in the asymptotic limit.

9 pages, 6 figures, To appear in International Journal of Modern Physics C

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• Renormalization group analysis of the small-world network model
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Cited by in corpus (3)

• Failure Processes in Elastic Fiber Bundles
• A random fiber bundle with many discontinuities in the threshold distribution
• Transition from localized to mean field behaviour of cascading failures in the fiber bundle model on complex networks