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

作　　者：张超[1] 鹿晓阳[1] 侯建生[2] 陶婷[2] 

机构地区：[1]山东建筑大学工程结构现代分析与设计研究所,山东济南250101 [2]济南四建(集团)有限责任公司,山东济南250031

出　　处：《山东建筑大学学报》2008年第4期339-343,共5页Journal of Shandong Jianzhu University

基　　金：山东省自然科学基金资助项目(Z2007A03)

摘　　要：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.

关 键 词：有理函数插值 弹塑性分析 屈服准则 子增量法 

分 类 号：O242[理学—计算数学]