【摘 要】
：
The present paper deals with spherically symmetric deformation of an inclusionmatrix problem,which consists of an infinite isotropic matrix and a spherically un
【机 构】
：
College of Science,State Key Laboratory for Turbulence and Complex Systems and Department of Mechani
【基金项目】
：
北京市自然科学基金;国家自然科学基金
论文部分内容阅读
The present paper deals with spherically symmetric deformation of an inclusionmatrix 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-dimensionai material parameter and the type of the remote traction,while is independent of the magnitude of the traction.
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