摘要
通过复变函数论的方法,对变载荷P t、P t/x作用下裂纹动态扩展的反平面问题分别进行研究.应用该法可以迅速地将所论问题转化为R iem ann-H ilbert问题,通过自相似函数的方法就可以获得解析解.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.
Based on the theory of complex functions, anti-plane problems on crack dynamic propagation under the action of variable loads Pt, Pt/x are studied respectively. The problems discussed can be easily transformed into Remann - Hilbert problems by this method, and analytical study is obtained by means of self-similar functions. Utilizing those solutions and superposition theorem, the solution on arbitrarily complex problems can be obtained.
出处
《哈尔滨工业大学学报》
EI
CAS
CSCD
北大核心
2006年第8期1310-1313,共4页
Journal of Harbin Institute of Technology
关键词
反平面问题
裂纹动态扩展
自相似函数
解析解
anti-plane problems
crack dynamic propagation
self-similar functions
analytical solution
