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突然加载的微柱阵列的生存能力。

Survivability of Suddenly Loaded Arrays of Micropillars.

作者信息

Derda Tomasz, Domanski Zbigniew

机构信息

Department of Mathematics, Czestochowa University of Technology, PL-42-201 Czestochowa, Poland.

出版信息

Materials (Basel). 2021 Nov 25;14(23):7173. doi: 10.3390/ma14237173.

Abstract

When a multicomponent system is suddenly loaded, its capability of bearing the load depends not only on the strength of components but also on how a load released by a failed component is distributed among the remaining intact ones. Specifically, we consider an array of pillars which are located on a flat substrate and subjected to an impulsive and compressive load. Immediately after the loading, the pillars whose strengths are below the load magnitude crash. Then, loads released by these crashed pillars are transferred to and assimilated by the intact ones according to a load-sharing rule which reflects the mechanical properties of the pillars and the substrate. A sequence of bursts involving crashes and load transfers either destroys all the pillars or drives the array to a stable configuration when a smaller number of pillars sustain the applied load. By employing a fibre bundle model framework, we numerically study how the array integrity depends on sudden loading amplitudes, randomly distributed pillar strength thresholds and varying ranges of load transfer. Based on the simulation, we estimate the survivability of arrays of pillars defined as the probability of sustaining the applied load despite numerous damaged pillars. It is found that the resulting survival functions are accurately fitted by the family of complementary cumulative skew-normal distributions.

摘要

当一个多组分系统突然受到加载时,其承载负荷的能力不仅取决于各组分的强度,还取决于失效组分释放的负荷如何在其余完好的组分之间分配。具体而言,我们考虑一组位于平坦基底上并承受脉冲压缩载荷的支柱阵列。加载后,强度低于载荷大小的支柱会立即坍塌。然后这些坍塌支柱释放的载荷会根据反映支柱和基底力学性能的载荷分担规则传递并被完好的支柱吸收。当较少数量的支柱承受外加负荷时,一系列涉及坍塌和载荷转移的突发情况要么会破坏所有支柱,要么会使阵列达到稳定构型。通过采用纤维束模型框架,我们数值研究了阵列完整性如何取决于突然加载的幅度、随机分布的支柱强度阈值以及不同的载荷转移范围。基于模拟,我们估计了支柱阵列的生存能力,将其定义为尽管有大量受损支柱仍能承受外加负荷的概率。结果发现,所得的生存函数能被互补累积斜正态分布族精确拟合。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0653/8658342/ac63e8817e79/materials-14-07173-g001.jpg

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