| 一维六方准晶中带裂纹的椭圆孔口问题的解析解 |
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| 引用本文： | 郭怀民,乔文华.一维六方准晶中带裂纹的椭圆孔口问题的解析解[J].宁夏大学学报(自然科学版),2009,30(3):223-226. |
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| 作者姓名： | 郭怀民 乔文华 |
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| 作者单位： | 1. 包头师范学院数学科学学院,内蒙古包头,014030
2. 包头师范学院物理科学学院,内蒙古包头,014030 |
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| 基金项目： | 国家自然科学基金资助项目，包头师范学院科研基金资助项目 |
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| 摘 要： | 利用复变函数方法,通过构造保角映射,研究了一维六方准晶中带裂纹的椭圆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,而且求得了一维六方准晶中带裂纹的圆形孔口问题以及两垂直裂纹问题在裂纹尖端的应力强度因子.
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| 关 键 词： | 准晶 带裂纹的椭圆孔口 两垂直裂纹 应力强度因子 复变方法 |
Analytic Solutions of Problem about An Elliptic Hole with A Straight Crack in One-Dimensional Hexagonal Quasicrystals |
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| Guo Huaimin,Qiao Wenhua.Analytic Solutions of Problem about An Elliptic Hole with A Straight Crack in One-Dimensional Hexagonal Quasicrystals[J].Journal of Ningxia University(Natural Science Edition),2009,30(3):223-226. |
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| Authors: | Guo Huaimin Qiao Wenhua |
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| Institution: | Guo Huaimin , Qiao Wenhua (1. School of Mathematic Science, Baotou Teachers College, Baotou 014030, China; 2. School of Physics Science, Baotou Teachers College, Baotou 014030, 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 an elliptic hole with a straight crack in one-dimensional hexagonal quasicrystals 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 SIFs at the crack tip to a circular hole with a straight crack and two perpendicular cracks in onedimensional hexagonal quasierystals are found out. |
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| Keywords: | quasicrystal elliptic hole with a straight crack two perpendicular cracks SIFs complex variable function method |
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