Phase transition in the modified fiber bundle model

Abstract

We extend the standard fiber bundle model (FBM) with the local load sharing in such a way that the conservation of the total load is relaxed when an isolated fiber is broken. In this modified FBM in one dimension (1D), it is revealed that the model exhibits a well-defined phase transition at a finite nonzero value of the load, which is in contrast to the standard 1D FBM. The modified FBM defined in the Watts-Strogatz network is also investigated, and found is the existences of two distinct transitions: one discontinuous and the other continuous. The effects of the long-range shortcuts are also discussed.

7 pages, to appear in Europhys. Lett

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• Failure Processes in Elastic Fiber Bundles
• Universality Class of Fiber Bundle Model on Complex Networks
• Geographical effects on cascading breakdowns of scale-free networks
• Transition from localized to mean field behaviour of cascading failures in the fiber bundle model on complex networks
• Fibers on a graph with local load sharing
• Failure process of fiber bundles with random misalignment