| 考虑偶应力影响的应力集中问题求解 |
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| 引用本文： | 刘俊,黄铭,葛修润.考虑偶应力影响的应力集中问题求解[J].上海交通大学学报,2001,35(10):1481-1485. |
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| 作者姓名： | 刘俊 黄铭 葛修润 |
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| 作者单位： | 1. 上海交通大学船舶与海洋工程学院,
2. 上海交通大学建筑工程与力学学院 |
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| 摘 要： | 针对工程结构计算中应力集中现象，给出了求解该类问题的Cosserat基本方程。采用Cosserat理论从应力函数与偶应力函数出发，根据叠加原理，运用分离变量法求解了无限平板小孔应力分布情况；并从解答出发，经过推导与对比，进一步证明了经典弹性理论与Cosserat介质理论之间的退化关系。说明了Cosserat介质理论求解孔洞等应力集中问题的有效性。
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| 关 键 词： | 应力集中 小孔 Cosserat介质理论 封闭解 偶应力 |
| 文章编号： | 1006-2467(2001)10-1481-05 |
| 修稿时间： | 2000年11月2日 |
Solution of Stress Concentration Problem Considering Influence of Couple-Stress |
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| LIU Jun ,HUANG Ming ,GE Xiu-run.Solution of Stress Concentration Problem Considering Influence of Couple-Stress[J].Journal of Shanghai Jiaotong University,2001,35(10):1481-1485. |
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| Authors: | LIU Jun HUANG Ming GE Xiu-run |
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| Institution: | LIU Jun 1,HUANG Ming 2,GE Xiu-run 2 |
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| Abstract: | Cosserat basal equations were devised in order to deal with stress concentration problems, which are encountered frequently and caused concern in the design of engineering construction. Beginning with the stress and couple-stress functions, a separation variables method is adopted to solving stress concentration around circular hole in a field of uniform tension with Cosserat theory. It can be verified that both Mindlin's solution and classical solution are special cases of Cosserat solution, and Cosserat continuum theory is effective when dealing with the stress concentration problem. |
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| Keywords: | stress concentration small hole Cosserat continuum theory closed solution couple-stress |
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