| 带不对称裂纹的圆形孔口的反平面剪切问题的解析解 |
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| 引用本文： | 云文在.带不对称裂纹的圆形孔口的反平面剪切问题的解析解[J].内蒙古大学学报(自然科学版),2010,41(2). |
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| 作者姓名： | 云文在 |
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| 作者单位： | 包头师范学院,数学科学学院,内蒙古,包头,010043 |
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| 摘 要： | 利用复变函数方法,通过构造保角映射,研究了带不对称裂纹的圆形孔口的反平面剪切问题,给出了Ⅲ型裂纹问题的应力强度因子.在极限情形下,不仅可以还原为已有的结果,而且求得带对称双裂纹的圆形孔口问题、带单裂纹的圆形孔口问题在裂纹尖端处的Ⅲ型应力强度因子.
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| 关 键 词： | 保角变换 带不对称双裂纹的椭圆孔口 反平面剪切 复变函数方法 应力强度因子 |
Analytic Solutions of the Anti-plane Problems about a Circular Hole with Asymmetry Cracks |
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| YUN Wen-zai.Analytic Solutions of the Anti-plane Problems about a Circular Hole with Asymmetry Cracks[J].Acta Scientiarum Naturalium Universitatis Neimongol,2010,41(2). |
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| Authors: | YUN Wen-zai |
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| Institution: | Faculty of Mathematical Science/a>;Baotou Teachers' College/a>;Baotou/a>;010043/a>;China |
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| Abstract: | By means of the complex variable function method and using the technique of conformal mapping, the anti-plane shear problem about a circular hole with asymmetry cracks is investigated and the solution of the stress intensity factor (SIFs) of mode Ⅲ is found out. Under the condition of limitation, not only the known result can be obtained but also the solutions of the mode Ⅲ SIFs at the crack tip to a circular hole with two straight cracks and a circular hole with a straight crack are found out. |
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| Keywords: | conformal mapping circular hole with asymmetry cracks anti-plane problem the complex variable function method SIF |
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