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粒状杆的柱体塌陷。

Column collapse of granular rods.

作者信息

Trepanier M, Franklin Scott V

机构信息

Department of Physics, Rochester Institute of Technology, Rochester, New York 14623, USA.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2010 Jul;82(1 Pt 1):011308. doi: 10.1103/PhysRevE.82.011308. Epub 2010 Jul 29.

Abstract

We investigate the collapse of granular rodpiles as a function of particle (length/diameter) and pile (height/radius) aspect ratio. We find that, for all particle aspect ratios below 24, there exists a critical height Hl below which the pile never collapses, maintaining its initial shape as a solid, and a second height Hu above which the pile always collapses. Intermediate heights between Hl and Hu collapse with a probability that increases linearly with increasing height. The linear increase in probability is independent of particle length, width, or aspect ratio. When piles collapse, the runoff scales as a piecewise power law with pile height, with rf ~H(1.2±0.1) for pile heights below H(c) ≈ 0.74 and r(f) ≈ H(0.6±0.1) for taller piles.

摘要

我们研究了颗粒状杆堆的坍塌情况,它是颗粒(长度/直径)和堆(高度/半径)纵横比的函数。我们发现,对于所有小于24的颗粒纵横比,存在一个临界高度Hl,低于该高度时堆从不坍塌,保持其作为固体的初始形状,还有一个更高的高度Hu,高于该高度时堆总是坍塌。Hl和Hu之间的中间高度坍塌的概率随高度增加呈线性增加。概率的线性增加与颗粒的长度、宽度或纵横比无关。当堆坍塌时,径流随堆高呈分段幂律缩放,对于低于H(c)≈0.74的堆高,rf~H(1.2±0.1),对于更高的堆,r(f)≈H(0.6±0.1)。

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