圆形界面刚性线夹杂的反平面问题

研究了在反平面集中力和无穷远纵向剪切作用下，不同弹性材料圆形界面上有多条刚性线夹杂的问题．运用Riemann-Schwarz解析延拓技术与复势函数奇性主部分析方法，首次获得了该问题的一般解答，求出了几种典型情况的封闭解，并给出了刚性线夹杂尖端的应力场分布A·D2结果表明，在反平面加载的情况下圆形界面刚性线夹杂尖端应力具有平方根奇异性，无奇异性应力振荡；应力场与刚性线夹杂的形状，加载方式和材料性质有关．退化结果与已有的解答完全吻合．

Antiplane Problem of Circular Arc Interfacial Rigid Line Inclusions

The antiplane problem of circular arc rigid line inclusions under antiplane concentrated force and longitudinal shear loading was dealt with. By using Riemann-Schwarz's symmetry principle integrated with the singularity analysis of complex functions, the general solution of the problem and the closed form solutions for some important practical problems were presented. The stress distribution in the immediate vicinity of circular arc rigid line end was examined in detail. The results show that the singular stress fields near the rigid inclusion tip possess a square-root singularity similar to that for the corresponding crack problem under antiplane shear loading, but no oscillatory character. Furthermore, the stresses are found to depend on geometrical dimension, loading conditions and materials parameters. Some practical results concluded are in agreement with the previous solutions.