Basic Properties of Two-dimensional Disk System Under Isotropic Compression

CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 2017, Vol. 34 ›› Issue (2): 245-252.

Basic Properties of Two-dimensional Disk System Under Isotropic Compression

College of Science, Guizhou University, Guiyang 550025, China

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

Abstract

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

CLC Number:

O414.2

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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