Geometrical structure of disordered sphere packings
Geometrical structure of disordered sphere packings
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DOI：
10.1103/physreve.71.061302
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发表时间：
2005-06-01
影响因子：
2.4
通讯作者：
Senden, TJ
中科院分区：
文献类型：
--
作者：
Aste, T;Saadatfar, M;Senden, TJ
本文用X射线计算机断层摄影术研究了体积分数在0.58 ~ 0.64之间的单一尺寸球体大填料的三维结构。我们寻找签名的组织，分类的地方安排和探索的影响，当地的几何约束的全球包装。这项研究是迄今为止在颗粒尺度上对无序堆积进行的最大和最准确的经验分析，绘制了超过380 000个球体坐标，精度在球体直径的0.1%以内。我们讨论了拓扑和几何方法来表征和分类这些系统强调的影响，当地的几何形状可以对这些无定形结构的形成机制。主要结果有：（1）观察到平均接触数随体积分数的增加而增加;（2）发现这些系统具有非常紧密的接触网络;（3）发现无序堆积比结晶堆积局部更有效;（4）观察到径向分布函数的峰值遵循幂律发散;（5）发现这些系统的平均接触数随体积分数的增加而增加;（6）发现这些系统的平均接触数随体积分数的增加而增加;（7）发现这些系统的平均接触数随体积分数的增加而增加。（5）发现了几何挫折在这种无定形填料的形成中不起作用。
The three-dimensional structure of large packings of monosized spheres with volume fractions ranging between 0.58 and 0.64 has been studied with x-ray computed tomography. We search for signatures of organization, classifying local arrangements and exploring the effects of local geometrical constrains on the global packing. This study is the largest and the most accurate empirical analysis of disordered packings at the grain-scale to date, mapping over 380 000 sphere coordinates with precision within 0.1% of the sphere diameters. We discuss topological and geometrical methods to characterize and classify these systems emphasizing the implications that local geometry can have on the mechanisms of formation of these amorphous structures. Some of the main results are (1) the observation that the average number of contacts increases with the volume fraction; (2) the discovery that these systems have a very compact contact network; (3) the finding that disordered packing can be locally more efficient than crystalline packings; (4) the observation that the peaks of the radial distribution function follow power law divergences; (5) the discovery that geometrical frustration plays no role in the formation of such amorphous packings.