半无限一维六方准晶压电双材料中的螺型位错  

The Screw Dislocation in a Semi-infinite One Dimensional Hexagonal Quasicrystal Piezoelectric Bi-material

作　　者：赵月 李联和[1] ZHAO Yue;LI Lian-he(College of Mathematics Science,Inner Mongolia Normal University,Huhhot 010022,China)

机构地区：[1]内蒙古师范大学数学科学学院,内蒙古呼和浩特010022

出　　处：《数学的实践与认识》2019年第2期184-190,共7页Mathematics in Practice and Theory

基　　金：国家自然科学基金(114620620;11361039);内蒙古自然科学基金(2017MS0104;2015MS0129;NJZY18022);内蒙古师范大学研究生科研创新基金项目(CXJJS18069)

摘　　要：研究了半无限大一维六方准晶压电双材料中的螺型位错问题,利用镜像位错法,获得了电弹性场的解析表达式,分析了含螺型位错半无限大准晶压电双材料中声子场应力,相位子场应力以及电位移的分布特征.基于广义Peach Koehler公式,得到了作用在位错上的像力,讨论了声子场-相位子场耦合弹性常数对作用在位错上像力的影响,为实际应用奠定了理论基础.为实际应用奠定了理论基础.The problems of a screw dislocation in the semi-infinite one dimensional hexagonal quasicrystal piezoelectric bi-material are considered in this paper. The analytical expression of the electroelastic field is derived by the image dislocation method. The distribution characteristics with regard to the phonon field stresses, phase field stresses and electric displacements in bi-material are given. Based on the generalized Peach Koehler formula, the image force exerted on the dislocation is obtained. The effects of the phonon-phason coupling constants on the image force are discussed in detail.

关 键 词：准晶 双材料 位错 像力 

分 类 号：TB34[一般工业技术—材料科学与工程]