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| 具有四条裂纹的圆形孔口问题的应力分析 | |
| 引用本文： | 陈柱,关璐,刘官厅.具有四条裂纹的圆形孔口问题的应力分析[J].数学的实践与认识,2011,41(22). |
| 作者姓名： | 陈柱 关璐 刘官厅 |
| 作者单位： | 1. 内蒙古财经学院 金融学院,内蒙古 呼和浩特,010051 2. 内蒙古财经学院 统计与数学学院,内蒙古 呼和浩特,010051 3. 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) |
| 摘 要： | 利用复变函数的方法,通过构造保角映射研究了具有四条裂纹(一对非对称共线裂纹和一对对称共线裂纹)的圆形孔口的平面弹性问题,给出了裂纹尖端应力强度因子的解析解.并由此模拟出了具有三条裂纹、对称四条裂纹、非对称共线双裂纹、对称共线双裂纹的圆形孔口,以及非对称十字裂纹,十字裂纹,T形裂纹问题. |
| 关 键 词： | 裂纹 圆孔 应力强度因子 复变方法 精确解析解 |
Stress Analysis of the Problem about a Circular Hole with four Straight Cracks |
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| CHEN Zhu,GUAN Lu,LIU Guan-ting.Stress Analysis of the Problem about a Circular Hole with four Straight Cracks[J].Mathematics in Practice and Theory,2011,41(22). | |
| Authors: | CHEN Zhu GUAN Lu LIU Guan-ting |
| Institution: | CHEN Zhu~1,GUAN Lu~2,LIU Guan-ting~3 (1.Department of Finance,Inner Mongolia Finance and Economics College,Huhhot 010051,China) (2.Department of Statistics and Mathematics,China) (3.Department of Mathematics Science,Inner Mongolia Normal University,Huhhot 010022,China) |
| Abstract: | By means of complex variable function method,this paper deals with the elastic problem about a plane of a circular hole with four straight cracks(a pair of asymmetry collinear cracks and a pair of symmetry collinear cracks) by using the technique of conformal mapping,and the analytic solutions of the SIFs at the crack tip are obtained.The results can also simulate the circular hole with three straight cracks,the circular hole with four symmetry straight cracks,the circular hole with two asymmetry collinear ... |
| Keywords: | crack circular hole SIFs complex variable method analytic solution |
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