弹塑性接触问题边界元缩聚法分析

ELASTOPLASTIC CONTACT PROBLEMS ANALYSIS WITH CONDENSATIONAL BOUNDARY ELEMENT METHOD

给出了利用隐含对称条件的二维弹塑性边界元分析公式,并应用于弹塑性接触问题分析。根据接触条件列出了弹塑性接触问题迭代求解的耦合方程。利用接触问题局部非线性的特点,将缩聚法用于迭代求解。基于拟线性、双重迭代法的思想,解决了两重非线性相耦合的问题。最后给出了一个算例。

In this paper, boundary integral equation for elastoplastic problem with implicit symmetry conditions is developed and applied to elastoplastic contact problems analysis. The coupled equation for iterative solution is established through contact conditions. By virtue of local nonlinearity of contact problems, a condensational procedure is employed to improve the efficiency of iterative solution, Based on quasi-linear, double iteration technique, the two-level coupled nonlinear problems are solved. A numerical example is also given to show the efficiency of the proposed method.