摘要
利用复变函数方法研究了在反平面载荷作用下含螺型位错有限大一维六方压电准晶楔形体的断裂问题。利用解析延拓技巧获得了复势的显式表达式;在此基础上得到了电弹性场和场强度因子的解析表达式,讨论了楔形角不同时切应力的分布特征和楔形角大小对场强度因子的影响。结果表明:当楔形角α=270°(λ=9/17)时,应力场在楔形体尖端表现出奇异性;但当楔形角α=90°(λ=2)时,应力场在楔形体尖端没有表现出奇异性。
A screw dislocation in a one-dimensional hexagonal quasicrystal piezoelectric finite wedge under the anti-plane loading is investigated by the complex variable function method.The analytical expression of complex potential function is obtained by analytical continuation argument.Then the electro-elastic fields and field intensity factors are given.The distribution characteristics of shear stress and the effects of wedge angles on the field intensity factor sare investigated in detail.The results show that the stress field exhibits singularity at the tip of the wedge when the wedge angle α=270°(λ=9/17).but the stress field does not exhibit singularity at the tip of the wedge when the wedge angle α=90°(λ=2).
作者
崔晓微
李联和
Cui Xiaowei;Li Lianhe(College of Mathematics Science,Inner Mongolia Normal University,011517,Huhhot,China)
出处
《应用力学学报》
CAS
CSCD
北大核心
2019年第5期1058-1062,1257,共6页
Chinese Journal of Applied Mechanics
基金
国家自然科学基金(11026175
11502123)
内蒙古自然科学基金(2017MS0104
2015MS0129
NJZY18022)
关键词
螺型位错
一维六方压电准晶
楔形体
解析延拓
screw dislocation
one-dimensional hexagonal quasicrystal piezoelectricity
finite wedge
analytical continuation
