构造了一种在π平面上为椭圆的后继屈服函数 ;并将其应用于干涉孔及冷胀孔问题的弹塑性有限元分析当中。从分析结果来看 ,该屈服函数的应用 ,不仅在冷胀孔问题方面取得了较好的分析结果 ,而且在干涉孔问题方面 ,分析结果也出现了和试验结果更为接近的趋势。本文提出的这种椭圆型后继屈服函数是通过改变屈服函数以解决弹塑性问题的大胆尝试 ,为改进弹塑性问题的求解方法提供了又一新的思路。 A successor yield function with an elliptic ellipsoid in the π plane was constructed and applied to the elasto-plastic finite element analysis of the interference holes and the bulging bore. From the analysis results, the application of the yield function not only obtains a better analysis result in the problem of cold bulge hole, but also has the tendency of getting closer to the test result in the problem of interference hole. The elliptic follow-up yield function proposed in this paper is a bold attempt to solve the elasto-plastic problem by changing the yield function, which provides a new idea for the solution of the elasto-plastic problem.