摩擦对二维颗粒体系中临界阻塞态的影响

doi:10.6040/j.issn.1671-9352.0.2014.305

山东大学学报（理学版） ›› 2015, Vol. 50 ›› Issue (03): 40-44.doi: 10.6040/j.issn.1671-9352.0.2014.305

摩擦对二维颗粒体系中临界阻塞态的影响

张兴刚, 胡林

贵州大学理学院, 贵州贵阳 550025

收稿日期:2014-07-01 修回日期:2015-01-06 出版日期:2015-03-20 发布日期:2015-03-13
作者简介:张兴刚(1980- ),男,博士,副教授,研究方向为统计物理和凝聚态理论。 E-mail:sci.xgzhang@gzu.edu.cn
基金资助:
贵州大学引进人才科研基金资助项目(201334);贵州省自然科学基金资助项目20122140);国家自然科学基金资助项目(11264006)

Effect of friction on the critical jammed states of two-dimensional granular systems

ZHANG Xing-gang, HU Lin

College of Science, Guizhou University, Guiyang 550025, Guizhou, China

Received:2014-07-01 Revised:2015-01-06 Online:2015-03-20 Published:2015-03-13

摘要/Abstract

摘要： 采用离散元法(discrete element method, DEM)对双分散圆盘颗粒体系在均匀压缩过程中的阻塞转变进行数值模拟,讨论了摩擦对临界阻塞态的影响。随着摩擦系数的增大,临界阻塞态的体积分数与平均接触数减小,其力学平均接触数与几何平均接触数的差异增大,同时各种接触类型的百分比也在发生改变。模拟结果还表明,摩擦系数为零以及无穷大的临界阻塞态是等静态堆积,临界阻塞态的体积分数随力学平均接触数呈线性增长的关系。

关键词: 颗粒体系, 平均接触数, 体积分数, 临界阻塞态

Abstract: The DEM simulation was conducted to investigate the jamming transition of bidisperse disk assemblies under isotropic compression, and the effect of friction on the critical jammed states was mainly discussed. As the friction coefficient increases, the packing fraction and the average contact number decrease; the difference between mechanical and geometrical average contact number increases; and the percentage of particles which have different contact numbers also varies with friction. According to the numerical results, the critical jammed states got from zero and infinite friction coefficient are isostatical packing, and the packing fraction shows a linear correlation with mechanical average contact number at J point.

Key words: granular systems, critical jammed states, volume fraction, average contact number

中图分类号:

O414.2

张兴刚, 胡林. 摩擦对二维颗粒体系中临界阻塞态的影响[J]. 山东大学学报（理学版）, 2015, 50(03): 40-44.

ZHANG Xing-gang, HU Lin. Effect of friction on the critical jammed states of two-dimensional granular systems[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2015, 50(03): 40-44.

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摩擦对二维颗粒体系中临界阻塞态的影响

Effect of friction on the critical jammed states of two-dimensional granular systems

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