Abstract: A spherically uniform linear anisotropic spherical inclusion perfectly bounded in an infinite isotropic matrix is studied. When the system is subjected to a remote traction, analytical results show that remarkable natures appear in the spherical inclusion. It is demonstrated that when 0<κ<1 an infinite stress appears at the center of the inclusion. Furthermore, a cavitation is formed in the case of tension loading and 0<κ<1/3, and a blackhole comes into being when a compression loading is applied and 0<κ<1.

Key words: spherically anisotropic, spherical inclusion, blackhole, cavitation

摘要： 研究了无穷大各向同性基体中完善粘结的球向各向异性球夹杂，发现当基体在无穷远受均匀荷载时，球夹杂同样具有类似的显著性质。结果表明，当0<κ<1，球夹杂中心将出现无穷大应力。而且，在无穷远拉荷载作用下，当0<κ<1/3,将出现空蚀现象;在无穷远压荷载作用下，当0<κ<1,将出现黑洞现象。

关键词: 球向各向异性, 球形夹杂, 黑洞现象, 空蚀现象