| 基于细观方向平均模型的颗粒材料宏观Cosserat连续体本构关系 |
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| 引用本文： | 刘其鹏,李锡夔,楚锡华. 基于细观方向平均模型的颗粒材料宏观Cosserat连续体本构关系[J]. 计算力学学报, 2011, 28(5): 682-687 |
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| 作者姓名： | 刘其鹏 李锡夔 楚锡华 |
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| 作者单位： | 大连理工大学 工业装备结构分析国家重点实验室,大连 116024;大连理工大学 工业装备结构分析国家重点实验室,大连 116024;武汉大学 土木建筑工程学院,武汉 430072 |
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| 基金项目： | 国家自然科学基金(10672033,90715011);国家重点基础研究发展计划(2010CB731502)资助项目. |
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| 摘 要： | 提出了基于细观微-方向模型（Micro—Directional Model）的宏观Cosserat连续体本构关系。在细观尺度上考虑颗粒旋转自由度及接触力矩，微结构的影响通过接触分布函数体现。给出均质各向同性Cosserat连续体模型弹性常数的细观参数表达式，并建议了二维情况下内尺度参数的细观力学表达式。对颗粒材料宏观行...
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| 关 键 词： | 颗粒材料 Cosserat连续体 离散颗粒集合体 微-方向模型 离散单元法 |
| 收稿时间： | 2010-05-20 |
| 修稿时间： | 2010-12-15 |
The micro-directional model of Cosserat continuum description for granular materials |
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| LIU Qi-peng,LI Xi-kui and CHU Xi-hua. The micro-directional model of Cosserat continuum description for granular materials[J]. Chinese Journal of Computational Mechanics, 2011, 28(5): 682-687 |
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| Authors: | LIU Qi-peng LI Xi-kui CHU Xi-hua |
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| Affiliation: | State Key Laboratory for Structural Analysis of Industrial Equipment,Dalian University of Technology, Dalian 116024,China;State Key Laboratory for Structural Analysis of Industrial Equipment,Dalian University of Technology, Dalian 116024,China;School of Civil and Architectural Engineering, Wuhan University, Wuhan 430072, China |
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| Abstract: | This paper develops the micro-directional model of Cosserat continuum, taking into account the particle rotation and contact couples on the micro level. The effects of micro structures on macro behavior are embodied with the contact distribution function. The specific formulae of macro elastic constants under homogeneous and isotropic assumption are derived. Micro-mechanically-based expressions of the intrinsic length scale are also suggested for two-dimensional case. The validity of the proposed model is verified through the comparisons of theoretical predictions from the developed model and numerical simulation by using discrete element method on overall behavior of a granular assembly with regular arrangement. |
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| Keywords: | granular materials cosserat continuum discrete particle assembly micro-directional model discrete element method |
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