Ⅰ型动态裂纹二个扩展问题的位错分布函数  

Dislocation distribution function of two propagation problems concerning mode Ⅰ dynamic crack

作　　者：胥红敏[1] 吕念春[2] 程靳[3] 

机构地区：[1]清华大学工程力学系,北京100084 [2]沈阳理工大学材料科学与工程分院,辽宁沈阳110168 [3]哈尔滨工业大学航天工程与力学系,黑龙江哈尔滨150001

出　　处：《辽宁工程技术大学学报（自然科学版）》2008年第1期39-41,共3页Journal of Liaoning Technical University (Natural Science)

基　　金：黑龙江省自然科学基金资助项目(A01-10)

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.

关 键 词：复变函数 Ⅰ型动态裂纹 位错分布函数 解析解 

分 类 号：O346.1[理学—固体力学]