Ⅲ型非对称界面裂纹受运动变载荷作用下的解析解  

Analytical Solution of Mode Ⅲ Asymmetrical Interface Crack under Action of Moving Variable Loads

作　　者：吕念春[1,2] 刘璇[3] 程云虹[4] 李新刚[2] 程靳[2] 

机构地区：[1]沈阳理工大学材料科学与工程学院,辽宁沈阳110168 [2]哈尔滨工业大学航天学院,黑龙江哈尔滨150001 [3]上海海洋大学工程学院,上海201306 [4]东北大学土木工程系,辽宁沈阳110006

出　　处：《南京理工大学学报》2009年第5期612-618,共7页Journal of Nanjing University of Science and Technology

基　　金：中国博士后基金(2005038199);黑龙江省自然科学基金重点项目(ZJG04-08)

摘　　要：通过复变函数论的方法,对Ⅲ型非对称界面裂纹受运动变载荷作用下的动态问题进行了研究。采用自相似函数的途径,通过相应的微分、积分运算容易地获得解析解的一般表达式。应用该法迅速地将所讨论的问题转化为Riemann-Hilbert问题,并求得了裂纹表面分别受到运动变载荷作用下应力、位移和动态应力强度因子的解析解。通过Muskhelishvili方法得到问题的闭合解。利用这些解以及叠加原理,求得了任意复杂问题的解。By the measures of the theory of complex functions, the dynamic propagation problems concerning mode Ⅲ asymmetrical interface crack under the action of moving variable loads are studied. The universal expressions of analytical solutions are readily attained by the technique of selfsimilar functions and corresponding differential and integral operation. The problem discussed here can be easily translated into Riemann-Hilbert problem by this approach, and the analytical solutions of the stress, displacement and dynamic stress intensity factor under the crack surfaces subjected to moving variable loads are respectively attained. Their closed solutions are obtained by means of Muskhelishvili＇s method. The solutions of the diseretionally complex problems can be gained bythose solutions and superposition theorem.

关 键 词：复变函数 Ⅲ型非对称界面裂纹 动态扩展 自相似函数 解析解 

分 类 号：O346.1[理学—固体力学]