摘要
用复变函数方法得到了弹性狭长体中含有一非对称半无限裂纹的动力学问题的分析解．当裂纹速度V→0时，此动力学的解可还原成为静力学的解．该问题Ⅰ型与Ⅱ型静态与动态应力强度因子KⅠ，KⅡ得以确定，并且具有解析的形式．
This study presents an analytic solution for an asymmetrical fast propagating semiinfinite crack in a strip. The formulation of complex function approach for solving dynamic crack problems given by Fan is the basis of the present analysis. Meanwhile a conformal mapping is used to transform the region of the physical plane onto the upper half-plane in the mapped plane. The Cauchy integral and analytic continuum are also used in the calculation. The analytic solution in closed form is obtained. When the crack is reduced to the symmetrical one, the results obtained here are reduced to those given by Fan, which serve a check of the present work.In the work the dynamic stress intensity factors, dynamic crack opening and sliding displacements and the plastic zones at the dynamic crack tip for Mode Ⅰ and Mode Ⅱ are determined.These results are significant, which may be used to simulate the instability of earthquake fault.
出处
《力学学报》
EI
CSCD
北大核心
2000年第4期507-512,共6页
Chinese Journal of Theoretical and Applied Mechanics
基金
国家教委博士点基金
关键词
狭长体
动态裂纹
保角映射
边值问题
strip, dynamic state, analytic solution, complex variable method, stress intensity factors
