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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
Source PublicationGRANULAR MATTER
ISSN1434-5021
Volume17Issue:4Pages:475-482
AbstractA 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.
description.department[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
KeywordComplementary Energy Granular Matter Random Packing Contact Force Distribution
Indexed Bysci
Language英语
Document Type期刊论文
Identifierhttp://ir.imr.ac.cn/handle/321006/74589
Collection中国科学院金属研究所
Corresponding Authorshzhang@imr.ac.cn; f.trentadue@poliba.it
Recommended Citation
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.
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