摘要
研究十次对称二维准晶材料无限大板内、椭圆孔边部分裂纹面受均布应力作用问题。采用Muskhelishvili复变函数法,对复杂孔边裂纹问题进行求解,通过引入适当的保角映射函数,将问题转化为可求解的模型,并计算了声子场和相位子场的各个场变量。
The stress on partial cracks surface of the elliptical hole-edge under uniform tension in two-dimensional decagonal quasicrystals plate was analyzed in this paper.To solve the complex hole-edge crack problem,the Muskhelishvili complex variable function method was used and suitable conformal mapping was introduced to convert the problem into a solvable model,and finally,the field variables of the phonon field and the phason field were calculated.
作者
刘媛
王桂霞
李联和
周建敏
LIU Yuan;WANG Gui-xia;LI Lian-he;ZHOU Jian-min(College of Mathematics Science,Inner Mongolia Normal University,Hohhot 010022,China)
出处
《内蒙古师范大学学报（自然科学汉文版）》
CAS
2020年第1期39-44,共6页
Journal of Inner Mongolia Normal University(Natural Science Edition)
基金
国家自然科学基金资助项目(11462020)
内蒙古自然科学基金资助项目(2017MS0104,2017MS0124,2017MS0125)
内蒙古自治区研究生教育创新计划资助项目(S2018111965Z)
内蒙古师范大学研究生科研创新基金项目(CXJJS18069)
关键词
十次对称二维准晶
裂纹面部分受力
复变函数法
声子场
相位子场
two-dimensional decagonal quasicrystals
partial cracks under uniform action
the complex variable function method
phonon field
phason field
