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不对称三裂纹的圆形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L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 conformal mapping, the anti-plane shear problem about a circular hole with three unequal straight edge-cracks in one-dimensional hexagonal quasicrystals was investigated and the solution of the stress intensity factor （SIFs） of mode III 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 at the mode L crack tip in one-dimensional hexagonal quasicrystals are found out
出处
《数学的实践与认识》
CSCD
北大核心
2010年第2期148-156,共9页
Mathematics in Practice and Theory
基金
国家自然科学基金(10761005)
内蒙古自然科学基金(2009MS0102)
内蒙古师范大学研究生科研创新基本(CXJJS08005)
关键词
准晶
带不对称三裂纹的圆形孔口
L形裂纹
应力强度因子
复变方法
quasicrystal
a circular hole with three unequal straight cracks
the model crack stress intensity factors
complex variable function method
