板内有腰圆形孔口的情形在工程结构中经常会遇到。本文用的方法研究了单向拉伸和纯剪切下,无限板内腰圆形孔口的应力分布问题。得出了有限级数形式表达的复应力函数。对于有限尺寸板内开孔的情形,文中用有限单元法来分析腰圆形孔口的应力分布和应力集中。在小开孔时,有限板内孔口的应力分布和无限板内的情况非常接近。证明了解析解和有限五分析的一致性。文中还讨论了翼缘和环形加劲对应力集中的影响。 The presence of a waist-shaped circular orifice in the plate is often encountered in engineering structures. The method used in this paper studied the stress distribution of a waist-shaped circular orifice in an infinite plate under uniaxial tension and pure shear. The complex stress function expressed in the form of a finite series is obtained. For the case of openings in finite-size plates, the finite element method is used to analyze the stress distribution and stress concentration of the waist-shaped circular openings. In the case of small openings, the stress distribution in the orifices of the finite plate is very close to that in the infinite plate. It is proved that the analytical solution and the finite five analysis are consistent. The effect of the flange and annular stiffening on stress concentration is also discussed.