北京大学学报（自然科学版）2008，Vol.44Issue(6)：847-852,6.
无穷远受载的各向同性基体中球向均匀各向异性夹杂的特殊性质
The Remarkable Nature of the Spherically Uniform Anisotropic Inclusion in an Isotropic Matrix under Remote Traction
摘要
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.关键词
球向各向异性/球形夹杂/黑洞现象/空蚀现象Key words
spherically anisotropic/spherical inclusion/blackhole/cavitation分类
数理科学引用本文复制引用
胥柏香,王敏中..无穷远受载的各向同性基体中球向均匀各向异性夹杂的特殊性质[J].北京大学学报（自然科学版）,2008,44(6):847-852,6.基金项目
国家自然科学基金(10672001)和Gottlieb Daimler-and Karl Benz-Stiftung奖学金资助 （10672001）
