摘要
利用复变函数方法,通过构造保角映射,研究了一维六方准晶中带双裂纹的椭圆孔口的反平面剪切问题,给出了Ⅲ型裂纹问题的应力强度因子,在极限情形下,不仅可以还原为已有的结果,而且求得一维六方准晶中带双裂纹的圆形孔口问题、十字裂纹问题在裂纹尖端的应力强度因子.
By means of the complex variable function method and using the technique of confonnal mapping, the anti-plane shear problem about an elliptic hole with two straight cracks in one-dimen- sional hexagonal quasicrystals was investigated and the solution of the stress intensity factor（SIFs） of mode Ill was found out. Under the condition of limitation, not only the known result can be obtained but also the solutions of the SIFs at the crack tip to a circular hole with two straight cracks and a cross crack in one-dimensional hexagonal quasicrystals are found out.
出处
《应用数学和力学》
CSCD
北大核心
2008年第4期439-446,共8页
Applied Mathematics and Mechanics
基金
国家自然科学基金资助项目(10761005)
内蒙古自然科学基金资助项目(200607010104)
关键词
准晶
带双裂纹的椭圆孔口
十字裂纹
应力强度因子
复变方法
quasicrystal
elliptic hole with two straight cracks
cross crack
SIFs
complex variable function method
