Ⅲ型界面裂纹Dugdale模型的动态扩展问题  

Dynamic Propagation Problem on Dugdale Model of Mode Ⅲ Interface Crack

作　　者：吕念春[1,2] 程云虹[3] 田修波[4] 程靳[5] 

机构地区：[1].哈尔滨工业大学材料科学与工程学院 [2]哈尔滨工业大学航天工程与力学系,哈尔滨150001 [3]东北大学土木工程系 [4]哈尔滨工业大学材料科学与工程学院 [5]哈尔滨工业大学航天工程与力学系

出　　处：《应用数学和力学》2005年第9期1105-1113,共9页Applied Mathematics and Mechanics

摘　　要：通过复变函数论的方法,对材料的非线性特性下的Ⅲ型界面裂纹Dugdale模型的动态扩展问题进行了研究.采用自相似函数的方法可以获得解析解的一般表达式.应用该法还可以很容易将所讨论的问题转化为Riemann_Hilbert问题,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.By the theory of complex functions, dynamic propagahon problem on Dugdale model of mode Ⅲ interface crack for nonlinear characters of materials was studied. The general expressions of analytical solutions are obtained by the methods of serf-similar functions. The problems dealt with can be easily transformed into Riemann-Hilbert problems and their closed solutions are attained rather simple by this approach. After those solutions were utilized by superposition theorem, the solutions of arbitrarily complex problems could be obtained.

关 键 词：复变函数 Dutgdale模型 界面裂纹 自相似函数 解析解 

分 类 号：O346.1[理学—固体力学]