裂纹面受均布载荷作用的Ⅲ型界面裂纹的位错连续分布模型  

CONTINOUS DISLOCATION DISTRIBUTION MODEL OF MODE Ⅲ INTERFACE CRACK UNDER HOMOGENOUSLY DISTRIBUTED SURFACE LOAD

作　　者：王云涛[1] 吕念春[1,2] 王超营 程靳[1] 

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

出　　处：《工程力学》2009年第4期46-50,56,共6页Engineering Mechanics

基　　金：中国博士后基金项目(2003033378);国家自然科学基金项目(30205035);黑龙江省自然科学基金重点基金项目(ZJG04-08)

摘　　要：通过应用复变函数理论,对Ⅲ型界面裂纹受均布载荷作用下的断裂动力学问题进行了研究。采用自相似函数的方法可以将所讨论的问题转化为Riemann-Hilbert问题,然后应用Muskhelishvili方法就可以得到运动裂纹的应力、位移和应力强度因子的解析解。根据位错分布函数和位移的关系,求得了位错分布函数的解,并描述了位错分布函数的变化规律。By the application of theory of complex functions, the fracture dynamic problems of mode Ⅲ interface cracks subjected to homogenously distributed loads were studied. By the approach of self-similar functions, the dynamic problems can be transformed into Riemann-Hilbert problems, and analytical solutions of the stresse, displacement as well as the dynamic stress intensity factor for moving cracks are obtained by Muskhelishvili＇s method. In terms of the relationship between the dislocation distribution function and displacement, the analytical solutions of the dislocation distribution functions are attained and the variational rule of the dislocation distribution function is depicted.

关 键 词：断裂动力学 Ⅲ型界面裂纹 位错分布函数 自相似函数 解析解 

分 类 号：O346.1[理学—固体力学]