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| 带k条径向边裂纹的圆形孔口问题的应力分析 | |
| 引用本文： | 关璐,陈柱,刘官厅.带k条径向边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(6). |
| 作者姓名： | 关璐 陈柱 刘官厅 |
| 作者单位： | 1. 内蒙古财经学院,统计与数学学院,内蒙古,呼和浩特,010051 2. 内蒙古财经学院,金融学院,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 |
| 摘 要： | 利用复变函数方法,通过构造保角映射研究了带k条径向边裂纹的圆形孔口的平面弹性问题,给出了裂纹尖端Ⅰ型与Ⅱ型问题应力强度因子的精确分析解.在极限情况下,不仅可以还原出星形裂纹,Griffith裂纹,十字裂纹等经典的裂纹问题的结果,而且当k取任意正整数值时,可以模拟出更多的、复杂的带裂纹的圆形孔口问题. |
| 关 键 词： | 裂纹 圆孔 应力强度因子 复变方法 精确分析解 |
Stress Analysis for a Circular Hole with k Radial Edge Cracks |
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| GUAN Lu,CHEN Zhu,LIU Guan-ting.Stress Analysis for a Circular Hole with k Radial Edge Cracks[J].Mathematics in Practice and Theory,2011,41(6). | |
| Authors: | GUAN Lu CHEN Zhu LIU Guan-ting |
| Abstract: | This paper deals with the elastic problem about a circular hole with k radial edge cracks using the technique of conformal mapping and complex variable function method.The analytic solutions of the stress intensity factors are obtained for modeⅠand modeⅡproblems at the crack tip.Under the limiting conditions,the present results are reduced to the results of the star cracks,the Griffith crack,the cross crack and so on.Moreover,they can be used to simulate the more complicated crack problems about the circular hole,when k equals to arbitrary positive integer. |
| Keywords: | crack circular hole SIFs complex variable method analytic solution |
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