各向同性压缩过程中圆盘体系的基本性质

计算物理 ›› 2017, Vol. 34 ›› Issue (2): 245-252.

• 研究论文 • 上一篇

各向同性压缩过程中圆盘体系的基本性质

张兴刚, 胡林

贵州大学理学院, 贵阳 550025

收稿日期:2016-03-10 修回日期:2016-06-22 出版日期:2017-03-25 发布日期:2017-03-25
作者简介:张兴刚(1980-),男,副教授,主要从事凝聚态物理及颗粒物质力学的研究,E-mail:sci.xgzhang@gzu.edu.cn
基金资助:
国家自然科学基金（11264006）、贵州大学引进人才科研基金（201334）及贵州省科技合作计划项目（20157641）资助

Basic Properties of Two-dimensional Disk System Under Isotropic Compression

ZHANG Xinggang, HU Lin

College of Science, Guizhou University, Guiyang 550025, China

Received:2016-03-10 Revised:2016-06-22 Online:2017-03-25 Published:2017-03-25

摘要/Abstract

摘要： 结合理论分析与数值模拟研究仅有线性排斥力的二维无序圆盘体系在准静态各向同性压缩过程中的基本性质.引入平均约化重叠量、约化压强等概念，基于微观的力学分析，导出约化压强与体系的组成成分、几何统计量及形变统计量之间的关系.基于数值模拟结果，讨论平均接触数增量、各种接触类型的百分比、平均约化重叠量、约化压强等物理量在大范围压缩的过程中随体积分数增量的变化，给出一个形式简洁的近似约化压强公式.模拟结果表明圆盘体系在远离临界阻塞态及接近临界阻塞态时的压缩响应不同.

关键词: 颗粒物质, 各向同性压缩, 阻塞态, 体积分数增量

Abstract: Theoretical analysis and numerical simulation are conducted to investigate basic properties of two-dimensional disordered disk system under quasi-static isotropic compression. Some basic concepts such as average reduced overlap, reduced pressure are introduced. Via micromechanics analysis, we deduce functional relation between reduced pressure and statistical quantities of disk system. Based on numerical simulation, variations of physical quantities such as excess average contact number, average reduced overlap, reduced pressure with excess volume fraction are studied. An approximate formula of reduced pressure is presented. These simulation results show that mechanical responses of compression are different as disk system is far from or near critical jammed state.

Key words: granular matter, isotropic compress, jammed states, excess volume fraction

中图分类号:

O414.2

张兴刚, 胡林. 各向同性压缩过程中圆盘体系的基本性质[J]. 计算物理, 2017, 34(2): 245-252.

ZHANG Xinggang, HU Lin. Basic Properties of Two-dimensional Disk System Under Isotropic Compression[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2017, 34(2): 245-252.

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[17] 张兴刚,胡林.二维无摩擦颗粒体系中阻塞态的压缩过程[J].计算物理,2015, 32(2):247-252.

各向同性压缩过程中圆盘体系的基本性质

Basic Properties of Two-dimensional Disk System Under Isotropic Compression

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[1]	张兴刚, 胡林. 二维无摩擦颗粒体系中阻塞态的压缩过程[J]. 计算物理, 2015, 32(2): 247-252.
[2]	张兴刚, 胡林. 成分无序颗粒体系中切向力的分布[J]. 计算物理, 2012, 29(4): 627-632.
[3]	张兴刚, 胡林, 隆正文. 粮仓效应的圆盘堆积模型[J]. 计算物理, 2006, 23(6): 642-646.
[4]	王仲奇. 颗粒物质随机厚度的蒙特卡罗研究[J]. 计算物理, 1997, 14(S1): 465-466.