论文标题

横截面形状对颗粒柱崩溃的影响

Influence of Cross-section Shape on Granular Column Collapses

论文作者

Man, Teng, Huppert, Herbert E., Zhang, Zaohui, Galindo-Torres, Sergio Andres

论文摘要

我们研究颗粒柱与不同的柱横截面崩溃,并将横截面形状影响与有限尺寸的分析相关联。以前的研究仅限于最初的圆形配置,回顾了颗粒状柱塌陷研究的重要性,并得出结论认为,跳出距离的尺度与初始纵横比。在这项工作中,使用离散元素方法(DEM)模拟了具有三种不同类型的初始柱横截面(正方形,等边三角形和矩形横截面)的颗粒柱。我们探索非圆形横截面如何导致不同的跑距离。基于先前获得的有限尺寸分析,我们将初始半径在不同方向上将初始半径与列的相对大小联系起来,并执行有限尺寸的分析以解释横截面影响。最后,提出了一种普遍关系,其中包括摩擦特性,相对大小和横截面影响。我们的结果显示与各种自然和工程系统具有直接相关性。

We investigate granular column collapses with different column cross-sections and associate the cross-section shape influence with a finite-size analysis. Previous research, confined to initially circular configurations, reviewed the importance of granular column collapse studies and concluded that the run-out distance scales with the initial aspect ratio. In this work, granular columns with three different types of initial column cross-sections (square, equilateral triangular, and rectangular cross-sections) are simulated using the discrete element method (DEM). We explore how non-circular cross-sections lead to different run-out distances. Based on the previously obtained finite-size analysis, we further link the initial radius in different directions to the relative size of a column and perform the finite-size analysis to explain the cross-section influence. In the end, a universal relationship, which includes frictional properties, relative sizes, and the cross-section influence, is proposed. Our results are shown to have direct relevance to various natural and engineering systems.

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