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具有不对称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的解析解,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具有对称裂纹的圆形孔口问题,带裂纹的圆形孔口问题在裂纹尖端的应力强度因子解析解.仅声子场而言,所得结果与经典弹性的结果完全一致.
By means of the complex variable function method and the technique of con-formal mapping, the anti-plane shear problem of a circular hole with asymmetry cracks in one-dimensional hexagonal quasicrystals is investigated and the analytic solution of the stress intensity factors （SIFs） for modeⅢproblem is found out. Under the condition of limitation, not only known result can be obtained but also the analytic solutions of the SIFs at the crack tip of a circular hole with two symmetrical cracks and a circular hole with a straight crack in one-dimensional hexagonal quasicrystals are obtained. As far as phonon field is concerned, present results have shown a good agreement with the results of classical elasticity.
出处
《应用数学学报》
CSCD
北大核心
2007年第6期1066-1075,共10页
Acta Mathematicae Applicatae Sinica
基金
国家自然科学基金项目(10761005)
内蒙古自然科学基金项目(200607010104)资助项目.
