中文摘要：

现在的纸处理包括的球状地对称的变丑 -- 矩阵问题，它由一个无限的各向同性的矩阵和球状地一致的各向异性的压电的包括组成。在二个阶段之间的接口应当是完美的，系统在无穷受到一致装载。准确答案为稳固的球形的压电的包括和各向同性的矩阵被获得。当系统受到遥远的拖拉时，分析结果证明显著自然在球形的包括存在。一个无限的压力出现在包括的中心，这被表明。而且，当系统受到一致紧张时，成穴可以发生在包括的中心，当当应用拖拉是一致压力时，一个黑洞可以在包括的中心被形成时。不同显著自然的外观仅仅取决于一个非维的材料参数和遥远的拖拉的类型，当时独立于拖拉的大小。

英文摘要：

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.