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Fibers on a graph with local load sharing

Uma Divakaran·Amit Dutta
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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.

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Uma Divakaran, Amit Dutta. 2006-12-15. Fibers on a graph with local load sharing. https://doi.org/10.1142/s0129183107010632

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