A minimum principle for contact forces in random packings of elastic frictionless particles

IMR OpenIR

	A minimum principle for contact forces in random packings of elastic frictionless particles
	Liu, Hai; Zhang, Shi-Hong; Cheng, Ming; Song, Hong-Wu; Trentadue, Francesco; shzhang@imr.ac.cn; f.trentadue@poliba.it
	2015
发表期刊	GRANULAR MATTER
ISSN	1434-5021
卷号	17 期号:4 页码:475-482
摘要	A minimum principle is developed with the aim of determining the contact forces in a random packing of hard frictionless particles. The principle is an extension of the minimum complementary energy principle to this particular non linear mechanical system. Under the assumptions that a convex complementary energy exists and that relative displacements between particles are small, it allows us to synthesize the generation mechanism of the force network from an energetic point of view and provides, besides the existing methods (e.g. Discrete Element Method), a new method to analyze the contact force distribution in discrete particle systems. Here the contact force network in a packing of identical elastic frictionless spheres with Hertz contacts is determined and it is shown that it is unique and independent both by the value of the applied load and by the value of elastic constants. Numerical examples confirm that the contact forces so determined are consistent with previous experimental results.
部门归属	[liu, hai ; zhang, shi-hong ; cheng, ming ; song, hong-wu] chinese acad sci, inst met res, shenyang 110016, peoples r china ; [trentadue, francesco] dicar, politecnico bari, bari, italy
关键词	Complementary Energy Granular Matter Random Packing Contact Force Distribution
收录类别	sci
语种	英语
WOS记录号	WOS:000358737400007
引用统计	被引频次：3[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://ir.imr.ac.cn/handle/321006/74589
专题	中国科学院金属研究所
通讯作者	shzhang@imr.ac.cn; f.trentadue@poliba.it
推荐引用方式 GB/T 7714	Liu, Hai,Zhang, Shi-Hong,Cheng, Ming,et al. A minimum principle for contact forces in random packings of elastic frictionless particles[J]. GRANULAR MATTER,2015,17(4):475-482.
APA	Liu, Hai.,Zhang, Shi-Hong.,Cheng, Ming.,Song, Hong-Wu.,Trentadue, Francesco.,...&f.trentadue@poliba.it.(2015).A minimum principle for contact forces in random packings of elastic frictionless particles.GRANULAR MATTER,17(4),475-482.
MLA	Liu, Hai,et al."A minimum principle for contact forces in random packings of elastic frictionless particles".GRANULAR MATTER 17.4(2015):475-482.