| Ⅰ型动态裂纹二个扩展问题的位错分布函数 | |
| 胥红敏 ; 吕念春 ; 程靳 ; XU Hongmin ; LV Nianchun ; CHENG Jin | |
| 2010-05-13 ; 2010-05-13 | |
| 关键词 | 复变函数 Ⅰ型动态裂纹 位错分布函数 解析解 complex functions mode Ⅰ dynamic crack dislocation distribution function analytical solutions O346.1 |
| 其他题名 | Dislocation distribution function of two propagation problems concerning mode Ⅰ dynamic crack |
| 中文摘要 | 通过复变函数论的方法,对Ⅰ型动态裂纹二个扩展问题的位错分布函数分别进行了研究。采用自相似函数的方法可以获得运动裂纹的应力、位移、动态应力强度因子及位错分布函数的解析表达式。应用该法可以迅速地将所讨论的问题转化为Riemann-Hilbert问题,而后一问题可以用通常的Muskhelishvili方法进行求解,并且可以相当简单地得到问题的闭合解。利用已求得的解并通过迭加原理,就可以很容易地求得任意复杂问题的解。; By application of the approach of the theory of complex functions,dislocation distribution function of two propagation problems concerning mode Ⅰ dynamic crack was studied.Analytical solutions on stresses,displacements,dynamic stress intensity factors as well as dislocation distribution function of moving crack are attained by the method of self-similar functions.The problems researched can be transformed into Riemann-Hilbert problems and their closed solutions are obtained rather simply in this way.Making use of the gained solution and superposition theorem,the solution of arbitrary complex problems are readily acquired. |
| 语种 | 中文 ; 中文 |
| 内容类型 | 期刊论文 |
| 源URL | [http://hdl.handle.net/123456789/29893]  |
| 专题 | 清华大学 |
| 推荐引用方式 GB/T 7714 | 胥红敏,吕念春,程靳,等. Ⅰ型动态裂纹二个扩展问题的位错分布函数[J],2010, 2010. |
| APA | 胥红敏,吕念春,程靳,XU Hongmin,LV Nianchun,&CHENG Jin.(2010).Ⅰ型动态裂纹二个扩展问题的位错分布函数.. |
| MLA | 胥红敏,et al."Ⅰ型动态裂纹二个扩展问题的位错分布函数".(2010). |
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