滑动界面的球形夹杂问题

SPHERICAL INCLUSION WITH SLIDING INTERFACE

滑动界面对多相介质力学性能的影响日益受到重视．但已有的解析结果往往假定界面是自由滑动的．即假设界面上的剪应力为零，这与大多数实际情况并不相符．本文假定界面上剪应力不为零并满足线弹簧型界面条件，在这一前提下，首次获得了球形夹杂本征应变问题的解析解．

More and more attention has been paid to the influence of the sliding interface on the mechanical behaviors of materials recelltly. But most of the results available based on the assumption that the inclusion interface could not sustain any shear traction(free sliding),which is not suitable for most physical realities.In the present paper the non-zero shear traction at the inclusion interface has been taken into account,and an exact solution is obtained for the eigenstrain problem of spherical inclusion with an imperfect sliding interface modeled by a linear spring-layer of vanishing thickness.