楔型向错偶极子与圆形夹杂界面刚性线的干涉

Elastic Interaction between a Wedge Disclination Dipole and a Circular Inhomogeneity with an Interfacial Rigid Line

运用复变函数,解析延拓方法对楔型向错偶极子与圆形界面刚性线夹杂的弹性干涉进行了研究,得到了含一条刚性线夹杂的封闭形式解.同时应用扰动技术,导出了向错偶极子的向错力即像力的显式表达式,分析了刚性线及介质I对逐渐靠近的向错偶极子排斥或吸引作用的规律,并发现泊松比对向错力影响很小.

The elastic interaction between a wedge disclination dipole and a circular inhomogeneity with an interracial rigid line was investigated by using the complexvariable method. Closed form solutions of the complex potentials were presented. The analytic formulae of physical variables, the image force acting on the disclination dipole center,were obtained. The problem of a line and inhomogeneity attracting or repelling a wedge disclination dipole was discussed. It is shown that Poisson＇s ratio has very little influence on image force.