Ⅲ型裂纹的二个动态扩展问题  

Two dynamic propagation problems of mode Ⅲ crack

作　　者：程靳[1] 巴颖[1] 吕念春[1,2] 林敏[1] 郭宝科[1] 

机构地区：[1]哈尔滨工业大学航天科学与力学系,哈尔滨150001 [2]沈阳理工大学材料科学与工程学院,沈阳110168

出　　处：《哈尔滨工业大学学报》2011年第9期30-32,共3页Journal of Harbin Institute of Technology

摘　　要：通过复变函数论的方法,对Ⅲ型裂纹的2个动态扩展问题进行研究.本文提出了裂纹动态扩展的1个新的力学模型,即裂纹坐标原点分别受增加载荷Px/t、Pt3/x2的作用,采用自相似函数的方法将所讨论问题迅速转化为Riemann-Hilbert问题,并求得了该模型的应力、位移和应力强度因子的解析解.利用这些解并采用叠加原理,即可求得任意复杂问题的解.In order to solve two dynamic propagation problems on mode Ⅲ crack by theory of complex functions,a new mechanical model for dynamic crack propagation,in which the crack is under the conditions of increasing loads Px/t、Pt3/x2 located at the origin of the coordinate of the crack is presented in this paper.The problems are transformed into Riemann-Hilbert problems by the approaches of self-similar functions,and the analytical solutions of stress,displacement and stress intensity factor are attained.With the solutions and superposition theorem,the solutions of discretionary complex problems can be acquired.

关 键 词：复变函数 Ⅲ型裂纹 动态扩展 解析解 

分 类 号：O346.1[理学—固体力学]