ANALYSIS OF A PARTIALLY DEBONDED CONDUCTING RIGID ELLIPTICAL INCLUSION IN A PIEZOELECTRIC MATRIX

作     者：WANG Xu(王旭) SHEN Ya-peng(沈亚鹏) 

作者机构：Department of Engineering Mechanics Xi'' an Jiaotong University Xi''an 710049 P R China Department of Engineering Mechanics Xi'' an Jiaotong University Xi''an 710049 P R China 

出 版 物：《Applied Mathematics and Mechanics(English Edition)》 (应用数学和力学（英文版）)

年 卷 期：2001年第22卷第1期

页      面：35-52页

核心收录：

学科分类：08[工学] 080102[工学-固体力学] 0801[工学-力学（可授工学、理学学位）] 

基　　金：国家自然科学基金 

主　　题：holomorphic function Stroh formula conformal mapping conducting rigid elloptical inclusion 

摘      要：A closed-form full-field solution for the problem of a partially debonded conducting rigid elliptical inclusion embedded in a piezoelectric matrix is obtained by employing the eight-dimensional Stroh formula in conjunction with the techniques of conformal mapping, analytical continuation and singularity analysis. Some new identities and stuns for anisotropic piezoelectric media are also derived, through which real-form expressions for the stresses and electric displacements along the interface as well as the rotation of the rigid inclusion con be obtained. As is expected, the stresses and electric displacements at the tips of the debonded part of the interface exhibit the same singular behavior os in the case of a straight Griffith interface crack between dissimilar piezoelectric media. Some numerical examples are presented to validate the correctness of the obtained solution and also to illustrate the generality of the exact solution and the effects of various eletromechanical loading conditions, geometry parameters and material constants on the distribution of stresses and electric displacements along the interface.