| 一维六方准晶中带双裂纹的椭圆孔口问题的解析解 |
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| 引用本文： | 郭俊宏,刘官厅. 一维六方准晶中带双裂纹的椭圆孔口问题的解析解[J]. 应用数学和力学, 2008, 29(4): 439-446. DOI: 10.3879/j.issn.1000-0887.2008.04.006 |
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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,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,研究了一维六方准晶中带双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,而且求得一维六方准晶中带双裂纹的圆形孔口问题、十字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 带双裂纹的椭圆孔口 十字裂纹 应力强度因子 复变方法 |
| 文章编号： | 1000-0887(2008)04-0439-08 |
| 收稿时间： | 2007-01-24 |
| 修稿时间： | 2007-01-24 |
Analytic Solutions of Problem About an Elliptic Hole With Two Straight Cracks in One-Dimensional Hexagonal Quasicrystals |
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| GUO Jun-hong,LIU Guan-ting. Analytic Solutions of Problem About an Elliptic Hole With Two Straight Cracks in One-Dimensional Hexagonal Quasicrystals[J]. Applied Mathematics and Mechanics, 2008, 29(4): 439-446. DOI: 10.3879/j.issn.1000-0887.2008.04.006 |
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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, P. R. 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 two straight cracks in one-dimen-sional hexagonal quasicrystals was investigated and the solution of the stress intensity factor(SIFs) of mode ó was 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 two straight cracks and a cross crack in one-dimensional hexagonal quasicrystals are found out. |
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