摘要
研究了一维六方压电准晶中正六边形孔边裂纹的反平面问题,利用复变函数中的Cauchy积分公式,通过构造保角映射函数,在电非渗透型的边界条件下得到了孔边裂纹尖端的应力分布以及场强度因子的解析解.通过数值算例,讨论了正六边形的边长和裂纹长度以及剪应力对场强度因子的影响.
The anti?plane problem of cracks near regular hexagonal holes in 1D hexagonal piezoelectric quasicrystals was studied.By means of the Cauchy integral formula in the complex variable functions and through construction of conformal mapping functions,the analytical solutions of stress distribution and field intensity factors at the crack tip near the hole were obtained under the electrically impermeable boundary condition.The effects of the edge length and the crack length of the regular hexagon as well as the shear stress on the field intensity factors were discussed with numerical examples.
作者
白巧梅
丁生虎
BAI Qiaomei;DING Shenghu(School of Mathematics and Statistics,Ningxia University,Yinchuan 750021,P.R.China)
出处
《应用数学和力学》
CSCD
北大核心
2019年第10期1071-1080,共10页
Applied Mathematics and Mechanics
基金
国家自然科学基金(11762016,11762017,11832014)
宁夏自然科学基金(NZ17009)
关键词
一维六方压电准晶
正六边形孔边裂纹
复变函数方法
场强度因子
1D hexagonal piezoelectric quasicrystal
regular hexagonal hole edge crack
complex variable function method
stress intensity factor
