| 圆界平面上一类裂纹扩展的近似分析解 |
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| 引用本文： | 吴牮,王自军.圆界平面上一类裂纹扩展的近似分析解[J].西南师范大学学报(自然科学版),2011,36(5). |
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| 作者姓名： | 吴牮 王自军 |
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| 作者单位： | 重庆电子工程职业学院;重庆虎溪电机有限责任公司技术处; |
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| 基金项目： | 重庆电子工程职业学院科研基金资助项目(ZD2009-13) |
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| 摘 要： | 裂纹扩展过程中,求平面应力场与应变场分析解的问题,长期以来作为应用数学和力学领域中一个困难的问题而存在,至今未获得完全彻底的解答.该文借助现代复分析中深刻的Loewner理论,同时在对场域几何性质给予一定限制的前提下,得到裂纹从圆盘区域边界向内扩展时,应力场与应变场的近似分析解.
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| 关 键 词： | 扩展裂纹 分析解 共形映射 Loewner理论 |
The Approximate Analytical Solutions on Certain Crack Propagating in Disk Domain |
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| WU Jian,WANG Zi-jun .Chongqing College of Electronic Engineering,Chongqing ,China,.Chongqing Huxi Electric Machinery Company.The Approximate Analytical Solutions on Certain Crack Propagating in Disk Domain[J].Journal of Southwest China Normal University(Natural Science),2011,36(5). |
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| Authors: | WU Jian WANG Zi-jun Chongqing College of Electronic Engineering Chongqing China Chongqing Huxi Electric Machinery Company |
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| Institution: | WU Jian1,WANG Zi-jun2 1.Chongqing College of Electronic Engineering,Chongqing 401331,China,2.Chongqing Huxi Electric Machinery Company |
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| Abstract: | Over a long period of time,under considering the effections of crack propagating,solving plane stress fields and stain fields analytically is a difficult problem in applied mathematics and mechanics,there is not a complete answer to this day.In this paper,with the aid of Loewner theory belonging to modern complex analysis and restricting some geometric character,the authors obtain approximate analytical solution of stress fields and stain fields for disk domain with the crack grow inside from boundary. |
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| Keywords: | propagating crack analytical solution conformal maps Loewner's theory |
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