压电螺型位错与含非理想界面层圆形夹杂的干涉效应

Electroelastic Interaction Between a Piezoelectric Screw Dislocation and a Circularly Layered Inclusion With Imperfect Interfaces

研究了位于压电材料基体或夹杂中任意点的压电螺型位错与含非理想界面层圆形夹杂的电弹性干涉问题.运用复变函数方法,获得了复势函数的精确解.由广义Peach-Koehler公式,导出了作用在螺型位错上的像力的精确表达式.讨论了不同参数对压电螺型位错的运动和平衡位置的影响规律.研究结果表明,对某些材料组合,当界面层的内界面是非理想界面且界面的非理想度达到一定值时,在基体中靠近界面处会出现两个位错的平衡位置,此现象未在以往研究(不考虑非理想界面)中观察到.

The interaction between a piezoelectric screw dislocation and an interphase layer in piezoelectric solids was theoretically investigated. Here, the dislocation located at arbitrary points inside either the matrix or the inclusion, and the interfaces of the interphase layer were imperfect. By complex variable method, the explicit solutions of complex potentials were given and electroelastic fields could be derived from them. The image force acting on the dislocation could be obtained by the generalized Peach-Koehler formula. The motion of the piezoelectric screw dislocation and its equilibrium positions were discussed for variable parameters. The im- portant results show that, if the inner interface of interphase layer is imperfect and the magni- tude of degree of interface imperfection reaches the certain value, two equilibrium positions of the piezoelectric screw dislocation in the matrix near the interface are found for certain material combination which has never been observed in previous studies （without considering the inter- face imperfection）.