摘要
利用复变函数的方法,通过构造适当的保角映射研究了星形裂纹的平面弹性问题,给出了裂纹尖端Ⅰ型与Ⅱ型问题应力强度因子的解析解.并由此模拟出了经典的Griffith裂纹,共点均匀分布三裂纹,十字裂纹,对称八裂纹问题.
This paper deals with the elastic problem about star cracks using the technique of conformal mapping with complex variable function method. The analytic solutions of the stress intensity factors are obtained for mode Ⅰ and mode Ⅱ problems at the crack tip. The present model can be used to simulate the well-known Griffith cracks, the three straight cracks with common point and uniform distribution, the cross crack andthe eight symmetry straight cracks.
出处
《力学学报》
EI
CSCD
北大核心
2009年第3期425-430,共6页
Chinese Journal of Theoretical and Applied Mechanics
基金
国家自然科学基金(10761005)
内蒙古自然科学基金(200607010104)资助项目.~~
关键词
星形裂纹
应力强度因子
复变方法
保角映射
解析解
star cracks, SIFs, complex variable method, conformal mapping, analytic solution
