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常规和不规则颗粒剪切填料中的旋转轴承。

Rotating bearings in regular and irregular granular shear packings.

作者信息

Aström J A

机构信息

LCE, Helsinki University of Technology, P.O. Box 9203, FI-02015 TKK, Finland.

出版信息

Eur Phys J E Soft Matter. 2008 Jan;25(1):25-9. doi: 10.1140/epje/i2007-10283-3. Epub 2008 Jan 31.

Abstract

For 2D regular dense packings of solid mono-size non-sliding disks there is a mechanism for bearing formation under shear that can be explained theoretically. There is, however, no easy way to extend this model to include random dense packings which would better describe natural packings. A numerical model that simulates shear deformation for both near-regular and irregular packings is used to demonstrate that rotating bearings appear roughly with the same density in random and regular packings. The main difference appears in the size distribution of the rotating clusters near the jamming threshold. The size distribution is well described by a scaling form with a large-size cut-off that seems to grow without bounds for regular packings at the jamming threshold, while it remains finite for irregular packings. At packing densities above the jamming transition there can be no shear, unless the disks are allowed to break. Breaking of disks induces a large number of small local bearings. Clusters of rotating particles may contribute to e.g. pre-rupture yielding in landslides, snow avalanches and to the formation of aseismic gaps in tectonic fault zones.

摘要

对于单一尺寸、不可滑动的固体圆盘的二维规则密集堆积,存在一种在剪切作用下形成承载的机制,这一机制可从理论上进行解释。然而,要将该模型扩展到能更好地描述自然堆积的随机密集堆积却并非易事。一个用于模拟近规则堆积和不规则堆积剪切变形的数值模型被用来证明,在随机堆积和规则堆积中,旋转承载大致以相同的密度出现。主要差异出现在堵塞阈值附近旋转簇的尺寸分布上。尺寸分布可用一种具有大尺寸截断的标度形式很好地描述,对于规则堆积,在堵塞阈值处大尺寸截断似乎无界增长,而对于不规则堆积,它保持有限。在高于堵塞转变的堆积密度下,除非圆盘被允许破裂,否则不会有剪切作用。圆盘破裂会引发大量小的局部承载。旋转粒子簇可能有助于例如滑坡、雪崩中的破裂前屈服以及构造断层带中无震间隙的形成。

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