STOCHASTIC LOCAL LOAD REDISTRIBUTION IN THE FIBRE BUNDLE MODEL OF NANOPILLAR ARRAYS

被引：2
|
作者：
Derda, Tomasz [1 ]
机构：
[1] Czestochowa Tech Univ, Inst Math, Czestochowa, Poland
来源：
JOURNAL OF APPLIED MATHEMATICS AND COMPUTATIONAL MECHANICS | 2015年 / 14卷 / 04期
关键词：
nanopillars; fibre bundle model; stochastic load redistribution; skew normal distribution; local load sharing;
D O I：
10.17512/jamcm.2015.4.03
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
引用
收藏
页码：19 / 30
页数：12
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