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

页码：19 / 30

页数：12

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