含界面层圆形夹杂中螺旋位错的弹性分析

研究了复合材料含界面层圆形夹杂内部的一个螺旋位错在夹杂、界面层与基体材料中产生的弹性干涉.将复变函数的分区亚纯函数理论与柯西型积分、罗朗级数相结合,求出了各分区复势的解析关系,化为一个关于界面层复势的函数方程,用显示式表达了问题的结果,揭示了界面层参数对位错干涉能与位错力的影响规律.该解析方法较经典级数方法未知量大量减少,表达式更加简洁.结果的特殊情形包含了若干已有成果.

ELASTIC ANALYSIS OF A SCREW DISLOCATION INSIDE A CIRCULAR INHOMOGENEITY WITH AN INTERFACIAL LAYER

The interaction effect is formulated examined for a screw dislocation inside a circular inhomogeneity with an interfacial layer. An efficient method for multiply connected region is developed by combining the sectionally holomorphic function, Rieman boundary problem, cauchy integral and Laurent series expansion techniques. The relation among the complex potentials for the three material regions is given. A functional equation in terms of the complex potential for the interface layer is derived, which results in explicit series solution of the problem. The influence of the interfacial layer parameters on interaction energy and dislocation force is evaluated and discussed. This analysis method is all the more forthrighter than the classical series method. The present results contain the previous known solutions as special cases.