| Micro-macro homogenization of granular materials based on the average-field theory of Cosserat continuum | |
Liu, QP ; Liu XY(刘晓宇); Li, XK; Li SH(李世海); Liu, QP (reprint author), Dalian Jiaotong Univ, Sch Civil & Safety Engn, Dalian 116028, Peoples R China.
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| Source Publication | ADVANCED POWDER TECHNOLOGY
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| 2014-01 | |
| Volume | 25Issue:1Pages:436-449 |
| ISSN | 0921-8831 |
| Abstract | This paper performs further study on the micro-macro homogenization approach of granular materials (Li et al., 2010) based on the advancement of Hill's lemma for Cosserat continuum (Liu, 2013). Firstly, the average couple stress tensor, expressed as the volume integration of quantities over the representative volume element (RVE) in the average-field theory of Cosserat continuum, is further deduced and expressed in terms of discrete quantities on the discrete particle assembly RVE of granular materials. The expression is also discussed and compared with other typical definitions of the effective couple stress tensor for granular materials in the literature. Then, rate forms of micromechanically based constitutive models consistent with different types of RVE boundary conditions are derived and discussed. Since the presented micro-macro homogenization approach is used, not only the micro-macro energy equivalence is satisfied, but also the microstructure and its evolution can be taken into account in the constitutive formulation with no need of specifying macroscopic phenomenological constitutive model. (C) 2013 The Society of Powder Technology Japan. Published by Elsevier B.V. and The Society of Powder Technology Japan. All rights reserved. |
| Keyword | Granular Materials Average-field Theory Effective Couple Stress Tensor Micromechanically Based Constitutive Models |
| Subject Area | Engineering |
| URL | 查看原文 |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:000334015500049 |
| Funding Organization | The authors are pleased to acknowledge the support of this work by the National Natural Science Foundation of China through the projects with Grant Nos. 11202042 and U1234209. |
| Department | LMFS工程地质体力学(LEM) |
| Classification | 二类/Q2 |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/48757 |
| Collection | 流固耦合系统力学重点实验室 |
| Corresponding Author | Liu, QP (reprint author), Dalian Jiaotong Univ, Sch Civil & Safety Engn, Dalian 116028, Peoples R China. |
| Recommended Citation GB/T 7714 | Liu, QP,Liu XY,Li, XK,et al. Micro-macro homogenization of granular materials based on the average-field theory of Cosserat continuum[J]. ADVANCED POWDER TECHNOLOGY,2014,25,1,:436-449. |
| APA | Liu, QP,Liu XY,Li, XK,Li SH,&Liu, QP .(2014).Micro-macro homogenization of granular materials based on the average-field theory of Cosserat continuum.ADVANCED POWDER TECHNOLOGY,25(1),436-449. |
| MLA | Liu, QP,et al."Micro-macro homogenization of granular materials based on the average-field theory of Cosserat continuum".ADVANCED POWDER TECHNOLOGY 25.1(2014):436-449. |
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