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| 一维六方准晶中带三条不对称裂纹的圆形孔口问题的解析解 | |
| 引用本文： | 杨丽星,刘官厅. 一维六方准晶中带三条不对称裂纹的圆形孔口问题的解析解[J]. 数学的实践与认识, 2010, 40(2) |
| 作者姓名： | 杨丽星 刘官厅 |
| 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 |
| 基金项目： | 国家自然科学基金(10761005); 内蒙古自然科学基金(2009MS0102); 内蒙古师范大学研究生科研创新基本(CXJJS08005) |
| 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不对称三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,而且求得一维六方准晶中L裂纹问题在裂纹尖端的应力强度因子. |
| 关 键 词： | 准晶 带不对称三裂纹的圆形孔口 L形裂纹 应力强度因子 复变方法 |
Analytic Solutions of Problem about a Circular Hole with Three Unequal Straight Edge-Cracks in One-Dimensional Hexagonal Quasic Rystals |
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| YANG Li-xing,LIU Guan-ting. Analytic Solutions of Problem about a Circular Hole with Three Unequal Straight Edge-Cracks in One-Dimensional Hexagonal Quasic Rystals[J]. Mathematics in Practice and Theory, 2010, 40(2) | |
| Authors: | YANG Li-xing LIU Guan-ting |
| Affiliation: | YANG Li-xing,LIU Guan-ting (College of Mathematics Science,Inner Mongolia Normal University,Huhhot 010022,China) |
| 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 three unequal straight edge-cracks in one-dimensional hexagonal quasicrystals was investigated and the solution of the stress intensity factor(SIFs) of modeⅢwas 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 at the mode L crack tip in one-dimensional hexagonal quasicrystals are found out. |
| Keywords: | quasicrystal a circular hole with three unequal straight cracks the model crack stress intensity factors complex variable function method |
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