THE REMARKABLE NATURE OF RADIALLY SYMMETRIC DEFORMATION OF ANISOTROPIC PIEZOELECTRIC INCLUSION  

作　　者：Yang Gao Minzhong Wang Baosheng Zhao 

机构地区：[1]College of Science, China Agricultural University, Beijing 100083, China [2]State Key Laboratory for Turbulence and Complex Systems and Department of Mechanics and Engineering Science, Peking University, Beijing 100871, China [3]School of Mechanical Engineering, University of Science and Technology Liaoning, Anshan 114044, China

出　　处：《Acta Mechanica Solida Sinica》2008年第3期278-282,共5页固体力学学报（英文版）

基　　金：the National Natural Science Foundation of China (Nos. 10702077, 10602001 and 10672001);the Beijing Natural Science Foundation (No. 1083012).

摘　　要：The present paper deals with spherically symmetric deformation of an inclusion- matrix problem, which consists of an infinite isotropic matrix and a spherically uniform anisotropic piezoelectric inclusion. The interface between the two phases is supposed to be perfect and the system is subjected to uniform loadings at infinity. Exact solutions are obtained for solid spherical piezoelectric inclusion and isotropic matrix. When the system is subjected to a remote traction, analytical results show that remarkable nature exists in the spherical inclusion. It is demonstrated that an infinite stress appears at the center of the inclusion. Furthermore, a cavitation may occur at the center of the inclusion when the system is subjected to uniform tension, while a black hole may be formed at the center of the inclusion when the applied traction is uniform pressure. The appearance of different remarkable nature depends only on one non-dimensional material parameter and the type of the remote traction, while is independent of the magnitude of the traction.The present paper deals with spherically symmetric deformation of an inclusion- matrix problem, which consists of an infinite isotropic matrix and a spherically uniform anisotropic piezoelectric inclusion. The interface between the two phases is supposed to be perfect and the system is subjected to uniform loadings at infinity. Exact solutions are obtained for solid spherical piezoelectric inclusion and isotropic matrix. When the system is subjected to a remote traction, analytical results show that remarkable nature exists in the spherical inclusion. It is demonstrated that an infinite stress appears at the center of the inclusion. Furthermore, a cavitation may occur at the center of the inclusion when the system is subjected to uniform tension, while a black hole may be formed at the center of the inclusion when the applied traction is uniform pressure. The appearance of different remarkable nature depends only on one non-dimensional material parameter and the type of the remote traction, while is independent of the magnitude of the traction.

关 键 词：piezoelectric inclusion ANISOTROPIC radially symmetric deformation remarkable nature cavitation black holes 

分 类 号：O4[理学—物理]