变载荷Px^mt^n作用于Ⅲ型裂纹面的动态扩展问题  

Dynamic propagation problems on the edges of mode Ⅲ crack subjected to variable loads Pxmtn

作　　者：吕念春[1] 杨鼎宁[2] 程云虹[3] 程靳[1] 

机构地区：[1]哈尔滨工业大学航天工程与力学系 [2]哈尔滨工程大学建筑工程学院,哈尔滨150001 [3]东北大学土木工程系,沈阳110006

出　　处：《哈尔滨工业大学学报》2007年第7期1040-1044,共5页Journal of Harbin Institute of Technology

基　　金：中国博士后基金资助(No.2003033378);国家自然科学基金资助项目(No.90205035);黑龙江省自然科学基金重点资助项目(ZJG04-08)

摘　　要：采用复变函数论的方法,对变载荷Pxmtn作用于Ⅲ型裂纹面的动态扩展问题进行研究.利用自相似函数的方法获得应力、位移和动态应力强度因子的解析解.应用该法可以轻易地将所讨论的问题转化为Riemann——Hilbert问题,然后按照Muskhe lishvili方法即可得到问题的闭合解.利用这些解和叠加原理,即可求得任意复杂问题的解.By the measures of the theory of complex functions, dynamic propagation problems on the edges of mode Ⅲ crack subjected to variable loads Px^mt^n was researched. Analytical solution to stresses, displacements and dynamic stress intensity factors were obtained by the method of self-similar functions. The problems discussed can be readily translated into Remann-Hilbert problems by this approach, and their closed solutions were attained considerably straightforward in terms of Muskhelishvili＇ s technique. After taking advantage of those solutions and superposition theorem, the solution to discretionally complex problems can be acquired.

关 键 词：Ⅲ型裂纹 自相似函数 解析解 

分 类 号：O346.1[理学—固体力学]