压电螺位错与含界面裂纹圆形涂层夹杂的干涉

研究位于基体或夹杂中任意点的压电螺型位错与含界面裂纹圆形涂层夹杂的电弹耦合干涉问题. 运用复变函数方法，获得了基体，涂层和夹杂中复势函数的一般解答. 典型例子给出了界面含有一条裂纹时，复势函数的精确级数形式解. 基于已获得的复势函数和广义Peach-Koehler公式，计算了作用在位错上的像力. 讨论了裂纹几何条件，涂层厚度和材料特性对位错平衡位置的影响规律. 结果表明，界面裂纹对涂层夹杂附近的位错运动有很大的影响效应，含界面裂纹涂层夹杂对位错的捕获能力强于完整粘结情况；并发现界面裂纹长度和涂层材料常数达到某一个临界值时可以改变像力的方向. 解答的特殊情形包含了以往文献的几个结果.

Electroelastic interaction between a piezoelectric screw dislocation and a circular coated inclusion with interfacial cracks

The electroelastic interaction between a piezoelectric screw dislocation and a circular coated inclusion with interfacial cracks is investigated. With the complex variable method, the general solutions of the complex potentials in the matrix, the coating layer and the inclusion regions are derived. As illustrative examples, solutions in the form of explicit series are presented in the case of one interracial crack. Based on the obtained complex potentials, the image force on the piezoelectric screw dislocation is then calculated by using the generalized Peach-Koehler formula. The equilibrium position of the dislocation is discussed in detail for various crack geometries, coating layer thicknesses and piezoelectric material property combinations. The results show that the interracial cracks have a significant perturbation effect on the motion of the piezoelectric screw dislocation near the coated circular inclusion and the trapping power of the coated inclusion with interfacial cracks is higher than that of a perfectly bonded one. The critical value of the crack length or the material constant of the coating layer may be found to Change the original direction of the image force.