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Shape effects on time-scale divergence at athermal jamming transition of frictionless non-spherical particles
Yuan, Ye ; Jin, Weiwei ; Liu, Lufeng ; Li, Shuixiang
刊名PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
2017
关键词Jamming transition Non-spherical particles Time-scale divergence Plastic behaviors PHASE-DIAGRAM PACKINGS DYNAMICS SYSTEMS
DOI10.1016/j.physa.2017.05.024
英文摘要The critical behaviors of a granular system at the jamming transition have been extensively studied from both mechanical and thermodynamic perspectives. In this work, we numerically investigate the jamming behaviors of a variety of frictionless non-spherical particles, including spherocylinder, ellipsoid, spherotetrahedron and spherocube. In particular, for a given particle shape, a series of random configurations at different fixed densities are generated and relaxed to minimize interparticle overlaps using the relaxation algorithm. We find that as the jamming point (i.e., pointJ) is approached, the number of iteration steps (defined as the "time-scale" for our systems) required to completely relax the interparticle overlaps exhibits a clear power-law divergence. The dependence of the detailed mathematical form of the power-law divergence on particle shapes is systematically investigated and elucidated, which suggests that the shape effects can be generally categorized as elongation and roundness. Importantly, we show the jamming transition density can be accurately determined from the analysis of time-scale divergence for different non-spherical shapes, and the obtained values agree very well with corresponding ones reported in literature. Moreover, we study the plastic behaviors of over-jammed packings of different particles under a compression-expansion procedure and find that the jamming of ellipsoid is much more robust than other non-spherical particles. This work offers an alternative approximate procedure besides conventional packing algorithms for studying athermal jamming transition in granular system of frictionless non-spherical particles. (C) 2017 Elsevier B.V. All rights reserved.; National Natural Science Foundation of China [11272010, 11572004]; SCI(E); ARTICLE; 470-481; 484
语种英语
内容类型期刊论文
源URL[http://ir.pku.edu.cn/handle/20.500.11897/470464]  
专题工学院
推荐引用方式
GB/T 7714
Yuan, Ye,Jin, Weiwei,Liu, Lufeng,et al. Shape effects on time-scale divergence at athermal jamming transition of frictionless non-spherical particles[J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS,2017.
APA Yuan, Ye,Jin, Weiwei,Liu, Lufeng,&Li, Shuixiang.(2017).Shape effects on time-scale divergence at athermal jamming transition of frictionless non-spherical particles.PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS.
MLA Yuan, Ye,et al."Shape effects on time-scale divergence at athermal jamming transition of frictionless non-spherical particles".PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS (2017).
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