| Lowner理论对动态断裂问题的应用初探 |
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| 引用本文： | 吴华.Lowner理论对动态断裂问题的应用初探[J].重庆职业技术学院学报,2010,19(5):140-143,165. |
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| 作者姓名： | 吴华 |
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| 作者单位： | 重庆电子工程职业学院,重庆,401331 |
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| 基金项目： | 重庆电子工程职业学院2009年院级指导性课题;课题名称:平面裂纹扩展过程中应力场近似解析解的复分析方法研究;项目 |
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| 摘 要： | 对于固体中裂纹扩张的动态过程,如考虑惯性及弹性波的影响,则应力场的求解是一个相当困难的问题,有关研究进展缓慢。本文在不计惯性及弹性波影响的情形下,借助共形映射的Lowner理论,对由边界向内的裂纹扩展过程中应力场的连续变化解,提出一种近似处理的方法。当考虑裂纹扩展速度影响时,在现有的Radok—范天佑方法中也尝试着引入Lowner理论,使该方法得以改进。
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| 关 键 词： | 扩展裂纹 应力场 共形映射 Lowner理论 |
Preliminary Exploration on the Application of L(o)wner's Theory in Developmental Fracture |
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| WU Jian.Preliminary Exploration on the Application of L(o)wner's Theory in Developmental Fracture[J].Journal of Chongqing Vocational& Technical Institute,2010,19(5):140-143,165. |
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| Authors: | WU Jian |
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| Institution: | WU Jian(Chongqing College of Electronic Engineering,Chongqing 401331,China) |
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| Abstract: | For the developmental problems of crack propagating in solid,if the effections of elastic waves and inertia are not negelected,then the determination about stress fields is very difficult.Over a long period of time,the researchs concerning this problems make slow progress.In this paper,neglecting the effections of elastic waves and inertia,we advance an approximate methods with the aid of Lwner’s theory belonging to conformal maps.This methods probably provide a certain continuous solution of stess fields with the condition that the crack propagate inside from boundary.Considering the effections of propagating velocity,we can improve the classical Radok-Fan methods by combine the Radok-Fan methods with Lwner＇s theory. |
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| Keywords: | propagating crack stress fields conformal maps Lwner’s theory |
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