| 应用离散偶应力单元分析弹性Cosserat介质 |
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| 引用本文： | 郑长良,任明法,张志峰,宋和平.应用离散偶应力单元分析弹性Cosserat介质[J].计算物理,2004,21(3):377-382. |
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| 作者姓名： | 郑长良 任明法 张志峰 宋和平 |
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| 作者单位： | 1. 大连理工大学力学系, 辽宁 大连 116023;2. 河北科技师范学院物理系, 河北 秦皇岛 066004 |
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| 基金项目： | 教育部博士点专项基金(2001,0141024)，教育部留学回国人员科研启动基金(教外司留[2001]498)，辽宁省博士启动基金[2001102093]，2001年国家高技术研究发展计划(2001AA412220)资助课题 |
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| 摘 要： | 讨论了平面弹性偶应力问题的有限元方法,提出了离散偶应力单元的理论和构造方法,其特点是独立假设单元的位移和微观转角,偶应力理论中微观转角和宏观转角相等的假设在单元中以离散形式强加.该类单元列式简单,易于编程,且有满意的精度.并构造了一个三角形九自由度离散偶应力单元DCT9(discrete Coss-erat triangular).数值结果表明该单元能够较好地描述Cosserat介质的力学性质.
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| 关 键 词： | 偶应力单元 Cosserat介质 |
| 文章编号： | 1001-246X(2004)03-0377-06 |
| 收稿时间： | 2003-03-07 |
| 修稿时间： | 2003年3月7日 |
Analysis of Elastic Cosserat Medium Using Discrete Cosserat Finite Elements |
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| ZHENG Chang-liang,REN Ming-fa,ZHANG Zhi-feng,SONG He-ping.Analysis of Elastic Cosserat Medium Using Discrete Cosserat Finite Elements[J].Chinese Journal of Computational Physics,2004,21(3):377-382. |
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| Authors: | ZHENG Chang-liang REN Ming-fa ZHANG Zhi-feng SONG He-ping |
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| Institution: | 1. Department of Engineering Mechanics of Dalian University of Technology, Dalian 116023, China;2. Department of Mathematics and Physics of Hebei Normal Institute of Science and Technology, Qinhuangdao 066004, China |
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| Abstract: | This paper deals with the finite element method of plane couple stress theory. A discrete Cosserat finite element method is proposed. The displacement and rotation fields are interpolated independently. Kinematic constraints between rotation and displacement gradient are imposed in discrete fashions. A 3-nonded, 9-dof(degree of freedom) triangular discrete Cosserat element(called DCT9) is formulated based on discrete Cosserat technique. Numerical results show that DCT9 element can describe mechanical properties of the Cosserate medium. |
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| Keywords: | discrete Cossrat element Cosserat medium |
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