| 带4k个周期裂纹的圆形孔口问题的精确分析解 |
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| 引用本文： | 陈柱,刘官厅,关璐. 带4k个周期裂纹的圆形孔口问题的精确分析解[J]. 内蒙古师范大学学报(自然科学版), 2011, 0(4) |
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| 作者姓名： | 陈柱 刘官厅 关璐 |
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| 作者单位： | 内蒙古财经学院金融学院;内蒙古师范大学数学科学学院;内蒙古财经学院统计与数学学院; |
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| 基金项目： | 国家自然科学基金资助项目(10761005); 内蒙古自然科学基金资助项目(2009MS0102) |
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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带4k个周期裂纹的圆形孔洞的平面弹性问题,给出了裂纹尖端应力强度因子的解析解,并由此模拟了具有对称四裂纹和对称八裂纹的圆形孔洞问题,以及共点周期裂纹和十字裂纹问题.
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| 关 键 词： | 带周期裂纹的圆形孔洞 共点周期裂纹 应力强度因子 复变方法 保角映射 |
Exact Analytic Solutions of the Problem about A Circular Hole with 4k Periodic Straight Cracks |
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| CHEN Zhu,LIU Guan-ting,GUAN Lu. Exact Analytic Solutions of the Problem about A Circular Hole with 4k Periodic Straight Cracks[J]. Journal of Inner Mongolia Normal University(Natural Science Edition), 2011, 0(4) |
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| Authors: | CHEN Zhu LIU Guan-ting GUAN Lu |
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| Affiliation: | CHEN Zhu1,LIU Guan-ting2,GUAN Lu3(1.College of Finance,Inner Mongolia Finance and Economics College,Hohhot 010051,China,2.College of Mathematics Science,Inner Mongolia Normal University,Hohhot 010022,3.College of Statistics and Mathematics,China) |
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| Abstract: | By means of complex variable function method,this paper deals with the elastic problem about a plane of a circular hole with 4k periodic straight 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 cross crack,the circular hole with four symmetry straight cracks,the circular hole with eight symmetry straight cracks and the periodic straight cracks with common point. |
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| Keywords: | circular hole with periodic straight cracks periodic straight cracks with common point SIFs complex variable method conformal mapping |
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