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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 Publication | GRANULAR MATTER
 |
| ISSN | 1434-5021 |
| Volume | 17Issue:4Pages:475-482 |
| Abstract | 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. |
| 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 |
| Keyword | Complementary Energy Granular Matter Random Packing Contact Force Distribution |
| Indexed By | sci |
| Language | 英语 |
| Document Type | 期刊论文 |
| Identifier | http://ir.imr.ac.cn/handle/321006/74589 |
| Collection | 中国科学院金属研究所 |
| Corresponding Author | shzhang@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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