弹塑性问题的样条边界元方法

本文采用样条边界元方法对弹塑性问题进行了分析和数值实施。对分析过程中遇到的强奇异积分给出了简单易行的数值处理方法,并推导了边界点应力的拟解析解,从而形成了完整的应力迭代公式。算例表明,本文方法分析弹塑性问题是行之有效的。

SPLINE BOUNDARY ELEMENT METHOD TO ELASTOPLASTIC PROBLEMS

This paper aims at applying the Spline Boundary Element Method to the analysis of elastoplastic problems and its numerical implementetions. An indirect approach to calculate the strong singular integrals in the analytical process is introduced, and a quasi-analytic solution to stress rate at bouna-ry nodes is elemostrated, putting thus into being the complete stress iteration formulation. The examples indicate that the method of this paper is effective for analysis of elestoplastic problems.