压电材料椭圆夹杂界面开裂问题的电弹性耦合解  

AN ELECTROELASTIC SOLUTION FOR THE INTERFACIAL CRACKING OF AN ELLIPTIC INHOMOGENEITY IN PIEZOELECTRIC MATERIALS

作　　者：仲政[1] 

机构地区：[1]同济大学工程力学与技术系固体力学国家教委开放研究实验室,上海200092

出　　处：《上海力学》1998年第1期9-14,共6页Chinese Quarterly Mechanics

基　　金：国家自然科学基金;西安交通大学机械结构强度与振动国家重点实验室开放基金

摘　　要：本文研究了在反平面剪切和面内电场的共同作用下,压电材料椭圆夹杂的界面开裂问题。假定夹杂是刚性的导体,采用复变函数保角变换和级数展开方法,可确定压电材料基体的复势表达式,进而求得夹杂界面开裂的电弹性耦合的能量释放率。In this paper, the interfacial cracking of a rigid and conducting elliptic inhomogeneity in piezoelectric materials under antiplane shear and inplane electric loading is studied theoretically using the method of complex variables. In order to determine the complex potentials in the piezoelectric matrix , the principles of conformal transformation and series expansion are used. The resulting expressions in closed form are then used to obtain the energy release rate involving the cracking at the interface between the inhomogeneity and the matrix.

关 键 词：压电材料 夹杂 界面开裂 电弹性耦合解 

分 类 号：TM220.141[一般工业技术—材料科学与工程]