I型裂纹非对称动态扩展解的基本形式  

Radical format of solution of asymmetrically dynamic propagation of mode Ⅰ crack

作　　者：吕念春[1] 杨鼎宁[2] 李新刚[1] 王晓霞[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]佳木斯大学机械工程学院,154007

出　　处：《哈尔滨工业大学学报》2007年第3期367-369,共3页Journal of Harbin Institute of Technology

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

摘　　要：采用复变函数论方法,对Ⅰ型裂纹非对称动态扩展解的基本形式进行推导.用自相似函数的方法获得解析解的一般表达式,使问题相应地简化,并具有一定的普遍性.应用该法可以迅速地将所论问题转化为Keldysh-Sedov问题,而这一类问题容易用通常的Muskhelishvili方法解决.利用已获得的解析解和叠加原理,即可求得任意复杂问题的解.By the methods of the theory of complex functions, radical format of solution to asymmetrically dynamic propagation of model Ⅰ crack was deduced. General representations of analytical solutions are obtained by the approaches of self-similar functions. The issues considered become accordingly simple and have definitive catholicity. By application of this method, the problems can be easily transformed into Keldysh-Sedov problems which are facilely resolved by the ways of Muskhelishvili. Utilizing superposition theorem, the solutions of arbitrarily complex problems could be acquired.

关 键 词：Ⅰ型裂纹 非对称动态扩展 解析解 自相似 

分 类 号：O346.1[理学—固体力学]