| 一种求解圆弧裂纹问题的新方法 |
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| 引用本文： | 申大维,曾芸芸. 一种求解圆弧裂纹问题的新方法[J]. 北京理工大学学报, 2006, 26(8): 661-663 |
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| 作者姓名： | 申大维 曾芸芸 |
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| 作者单位： | 北京理工大学,理学院,北京,100081;北京理工大学,理学院,北京,100081 |
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| 摘 要： | 提出求解圆弧裂纹问题的新方法. 无限大平面弹性体的某一圆周上分布有若干条圆弧裂纹,不论无穷远处是否受力都可化成求解一个复势函数边值条件的线性关系问题. 利用这一方法,可以很简便地求得无穷远处受双轴拉伸时圆弧裂纹问题的精确解,进而求出应力强度因子和位移场,并可求出圆弧裂纹面上的位移.
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| 关 键 词： | Westergaard方法 复变函数法 圆弧裂纹问题 Riemann-Hilbert问题 应力强度因子 |
| 文章编号： | 1001-0645（2006）08-0661-04 |
| 收稿时间： | 2006-01-05 |
| 修稿时间： | 2006-01-05 |
A New Method for Solving Circular Arc Crack Problems |
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| SHEN Da-wei and ZENG Yun-yun. A New Method for Solving Circular Arc Crack Problems[J]. Journal of Beijing Institute of Technology(Natural Science Edition), 2006, 26(8): 661-663 |
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| Authors: | SHEN Da-wei and ZENG Yun-yun |
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| Affiliation: | School of Science, Beijing Institute of Technology, Beijing 100081, China |
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| Abstract: | A new method for solving circular arc crack problems is proposed. If there are some cracks in the same circular arc in an infinite plane elastic body, no matter whether the stresses vanish at infinity or not, the problems are reduced to a problem of linear relationship of the boundary value. Using this method, the problem with a circular arc crack under uniform biaxial load at infinity can be solved conveniently and accurately. Furthermore, the displacements on the crack surface and the stress intensity factors at the crack tips are obtained. |
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| Keywords: | Westergaard method complex variable method circular arc crack problem Riemann- Hilbert problem stress intensity factors |
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