含矩形孔无限域应力集中的系列分析

采用复变函数理论与保角映射技术，求出了含矩形孔的无限域在孔边承受均匀内压时的应力，以及同时承受孔边均匀压力和无限远单向拉力时的应力．分析了矩形孔的边长比、圆角曲率半径及方位角对孔边应力集中的影响，给出了孔边峰值应力随边长比的变化规律．对几种不同边长比的矩形孔进行了系列计算，并将计算结果图谱化，便于工程应用．解答可移植到含孔无限大板的平板弯曲问题．

Stress concentration of infinite domain with a rectangular opening

In this paper, the stress field is studied in an infinite domain with a rectangular opening subjected to uniformly-distributed internal pressure at the edge of opening or simultaneously subjected to uniformly-distributed pressure and remote uniaxial tensile stress by complex variable and conformal mapping technique.The effects of side ratio,curvature radius of corners and opening direction upon the maximum stress at the edge of opening are discussed.Varying tendency of peak stress at the edge of opening with side ratio is given.A series of calculations are performed on six kinds of openings with various side ratios and graphic results are offered for application in engineering.This approach can also be used in the plane bending of infinite plate with openings.