Ⅲ型裂纹动态Dugdale模型的扩展问题  

A propagation problem on dynamic Dugdale model of mode III crack

作　　者：吕念春[1,2] 程云虹[3] 王云涛[2] 程靳[2] 

机构地区：[1]沈阳理工大学材料科学与工程分院,辽宁沈阳110168 [2]哈尔滨工业大学航天工程与力学系,黑龙江哈尔滨150001 [3]东北大学土木工程系,沈阳110006

出　　处：《辽宁工程技术大学学报（自然科学版）》2009年第5期754-757,共4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);黑龙江省自然科学基金重点项目资助(ZJG04-08)

摘　　要：通过复变函数论的方法,对材料的非线性特性下的III型裂纹Dugdale模型的动态扩展问题进行研究。采用自相似函数的方法可以获得应力、位移及裂纹尖端张开位移解析的解。应用该法可以很容易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,并可以相当简单地得到问题的闭合解。利用这些解并采用叠加原理,就可以求得任意复杂问题的解。The dynamic propagation of Dugdale model on Mode III crack with nonlinear characters of materials was investigated using the theory of complex functions.Analytical solutions of the stress,the displacement and crack tip opening displacement can be obtained by applying methods of self-similar functions.The problems mentioned above can be easily translated into the Riemann-Hilbert problem which is normally resolved by Muskhelishvili method.Therefore,it becomes very simple to have a closed solution.Using those solutions and superposition theorem,the solutions for any arbitrary complex problem can be obtained.

关 键 词：复变函数 DUGDALE模型 裂纹 解析解 

分 类 号：O346.1[理学—固体力学]