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Stochastic local load redistribution in the fibre bundle model of nanopillar arrays

Derda T.

Journal of Applied Mathematics and Computational Mechanics

2015

Vol. 14, nr 4

19--30

We study the breakdown of the nanopillar arrays subjected to axial loading. The pillar-strength-thresholds are drawn from a given probability distribution. Pillars are located in the nodes of the supporting regular lattice. In this work we introduce stochastic local load sharing - after pillar breakdown each of its nearest intact neighbours obtains a random fraction of the failing load. Two types of loading procedure are employed, namely quasi-static and finite force. We analyse critical loads, catastrophic avalanches as well as probabilities of cascade and breakdown.