含界面刚性线夹杂与广义压电位错双压电介质的电弹性分析  

ELECTROELASTIC ANALYSIS OF BI-PIEZOELECTRICS EMBEDDED INTERFACIAL RIGID LINES WITH GENERALIZED PIEZOELCTRIC DISLOCATION

作　　者：周志东[1] 赵社戌[2] 匡震邦[2] 

机构地区：[1]厦门大学材料学院材料科学与工程系,厦门361005 [2]上海交通大学工程力学系,上海200240

出　　处：《固体力学学报》2008年第3期223-230,共8页Chinese Journal of Solid Mechanics

基　　金：国家自然科学基金项目(10472069;10572089);厦门大学人才引进基金资助

摘　　要：研究了双压电材料中广义压电位错与分布于界面的刚性共线线夹杂相互作用问题.基于线性压电理论Stroh框架,相应的混合边值问题,可化为常见的Hilbert问题.求解Hilbert问题,得到存在界面刚性线夹杂与位错时,压电体内所有场变量的显式表达.给出了由于界面和刚性线夹杂的存在,作用于广义压电位错上的广义Peach-Koehler镜像力.对均匀压电材料这一特殊情况,给出了数值算例,讨论了位错对刚性线夹杂端部场强度因子的干涉和它们之间的相互作用.结果可作为求解界面刚性线夹杂与微裂纹交互作用问题的Green函数,也可作为边界元方法的核函数.Interactions between a generalized piezoelectric dislocation and collinear rigid lines,which are embed in bi-piezoelectric media, are discussed. Based on the Stroh formalism of linear piezoelectric theo- ry,the explicit expressions of the general solution of this problem are presented. Further, the generalized Peach-Koehler force on the generalized dislocation also expressed explicitly. For homogeneous piezoelectric media, the numerical results are given for field intensity factors and generalized image force. This Green＇s function is very important and could be used as kernel function to solve some complicated multi-fields cou- pling problem,such as the interaction between a small crack and rigid lines.

关 键 词：压电材料 刚性线夹杂 位错 场强度因子 GREEN函数 

分 类 号：O302[理学—力学]