基于有理函数插值的增量弹塑性分析

An incremental elasto-plastic analysis based on rational function interpolation

结合弹塑性增量计算和有理函数插值的特点,研究了利用有理单元法解决二维弹塑性问题的算法。为了将其应用拓展到土体等弹塑性材料,分别采用Von-Mises和Drucker-Prager屈服准则作为调整积分点应力向量的依据,应用于两个平面问题的算例,拓宽了有理单元法的适用范围。

By considering the specialties of incremental elasto-plastic calculation and interpolation of rational function, an algorithm for two dimensional elasto-plastic analysis was presented based on rational element method. In order to make it applicable to calculate and analyze the elasto-plastic material such as soil, a plane strain problem was verified through the adjustment of stress on Hammer point based on the yield criteria of Von-Mises and Drucker-Prager. The applicable range of REM was enlarged through the research.