本文发展了一种三维结构在单调和循环加载条件下的弹塑性分析的分区边界元法并完成了相应软件的开发。采用了改进的双面理论模拟循环加载条件下的材料性质,引进了有效的奇异积分数值处理方法和推广的返回向量法(作为双面本构理论的近似积分方法,最后,运用该软件对常用的工程构件——吊钩进行了应力应变分析,并与相应的实验结果作了较为详细的比较分析。 This paper developed a partitioned boundary element method for elasto-plastic analysis of three-dimensional structures under monotonic and cyclic loading conditions and completed the development of corresponding software. An improved double-sided theory was used to simulate the material properties under cyclic loading conditions. An effective singular integral numerical processing method and a generalized return vector method (as an approximate integral method of the double-sided constitutive theory) were introduced. Finally, the software was used for common use. The stress-strain analysis was performed on the hook of the engineering component—the hook, and a comparative analysis was made with the corresponding experimental results.