| 具有不对称共线裂纹的圆形孔口问题的应力分析 |
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| 引用本文： | 郭俊宏,刘官厅. 具有不对称共线裂纹的圆形孔口问题的应力分析[J]. 内蒙古师范大学学报(自然科学版), 2007, 36(4): 418-422 |
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| 作者姓名： | 郭俊宏 刘官厅 |
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| 作者单位： | 内蒙古师范大学,数学科学学院,内蒙古,呼和浩特,010022;内蒙古师范大学,数学科学学院,内蒙古,呼和浩特,010022 |
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| 基金项目： | 国家自然科学基金;内蒙古自然科学基金 |
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| 摘 要： | 利用复变函数方法，通过构造保角映射．研究了具有不对称共线裂纹的圆形孔口的平面弹性问题，求得在裂纹尖端的应力强度因子．在极限情形下，不仅可以还原为已有的结果．而且给出带双对称裂纹的圆形孔口在裂纹尖端的应力强度因子．
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| 关 键 词： | 具有不对称共线裂纹的圆形孔口 带双对称裂纹的圆形孔口 应力强度因子 复变方法 保角映射 |
| 文章编号： | 1001-8735（2007）04-0418-05 |
| 收稿时间： | 2007-01-18 |
| 修稿时间： | 2007-01-18 |
Stress Analysis of the Problem about a Circular Hole with Asymmetry Collinear Cracks |
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| GUO Jun-hong,LIU Guan-ting. Stress Analysis of the Problem about a Circular Hole with Asymmetry Collinear Cracks[J]. Journal of Inner Mongolia Normal University(Natural Science Edition), 2007, 36(4): 418-422 |
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| Authors: | GUO Jun-hong LIU Guan-ting |
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| Affiliation: | College of Mathematics Science, Inner Mongolia Normal University, Huhhot 010022,China |
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| Abstract: | By means of the complex variable function method and using the technique of conformal mapping,the plane elasticity problem about a circular hole with asymmetry collinear cracks was considered and the solutions of the stress intensity factor(SIFs) at the crack tip were obtained.Under the conditions of limitation,not only known results can be obtained but also the solutions of the SIFs at the crack tip of a circular hole with two symmetrical cracks were found out. |
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| Keywords: | circular hole with asymmetry collinear cracks circular hole with two symmetrical cracks stress intensity factor complex variable function method conformal mapping |
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