纵向剪切下含共焦刚性核弹性椭圆夹杂中的螺型位错干涉

THE INTERACTION BETWEEN A SCREW DISLOCATION INSIDE THE INHOMOGENEITY AND AN ELASTIC ELLIPTICAL INHOMOGENEITY WHICH CONTAINS A CONFOCAL RIGID CORE UNDER LONGITUDINAL SHEAR

研究了无穷远纵向剪切下无限大基体中含共焦刚性核弹性椭圆夹杂内任意位置螺型位错的干涉问题.运用复变函数保角映射、解析延拓等方法,获得了基体与夹杂区域的应力场的级数形式精确解,并得出了位错像力的解析表达式,导出了纵向剪切下两椭圆界面最大应力及其比值公式.在此基础上,分析和讨论了夹杂内部刚性核对位错与夹杂之间干涉的扰动效应,以及椭圆夹杂尺度对位错像力的影响规律.

The interaction between a screw dislocation inside the inhomogeneity and an elastic elliptical inhomogeneity which contains a confocal rigid core under longitudinal shear is investigated. By using the technique of conformal mapping and the method of analytic continuation, the stress fields of matrix and inhomogeneity and the image force acting on the screw dislocation are obtained explicitly in the series form. The maximum interracial stresses and the ratio of the stresses on the two elliptical interfaces under longitudinal shear are calculated. The influence of the rigid core on the interaction effects between a screw dislocation and an elliptical inhomogeneity, and the various elliptical inhomogeneity geometries for the image force are discussed based on the results.