摘要
利用复变函数方法,通过构造拱形映射函数,研究了一维六方准晶中幂函数类裂纹的反平面剪切问题,给出了Ⅲ型裂纹问题的应力强度因子的一般解,当幂次取不同的自然数时,可以退化为已有的结果。通过数值计算,讨论了一维六方准晶中幂函数类曲线裂纹的系数、幂次及在x轴上的投影长度对Ⅲ型应力强度因子的影响规律。
By means of the complex variable function method and using the technique of conformal mapping, the an- ti - plane shear problem for power function curved cracks in one-dimensional hexagonal quasicrystals was investiga- ted and the general solutions of the stress intensity factor（SIFs）of mode III was found out. The present results can be reduced to the well-known solutions when the power of power function is prescribed to different natural numbers. Numerical examples are conducted to reveal the effects of opening orientation,power and projected length along x- axis of the power function curved crack on the SIFs for mode III in one-dimensional hexagonal quasicrystals.
出处
《黑龙江大学自然科学学报》
CAS
北大核心
2012年第6期828-832,共5页
Journal of Natural Science of Heilongjiang University
基金
国家自然科学基金资助项目(11261035)
内蒙古自治区高等学校科学研究项目(NJZY11167
NJ10164
NJZZ12198)
内蒙古自然科学基金资助项目(2012MS0102)
