二维弹塑性自然单元法算法实现  

The Computational Methods of Natural Element Method in Two Dimensional Elasto-Plastic Analysis

作　　者：张英新[1] 王建华[1] 高绍武[1] 

机构地区：[1]上海交通大学土木工程系,上海200030

出　　处：《上海交通大学学报》2005年第5期727-730,共4页Journal of Shanghai Jiaotong University

摘　　要：为了使自然单元法能够应用于土体等具有弹塑性本构关系的材料的分析计算,通过结合弹塑性理论及自然单元法自身特点,研究了在自然单元法中采用Von-Mises、Mohr-Coulomb和Drucker-Prager屈服准则解决二维弹塑性问题的算法,并利用面向对象的程序设计方法编制了相应的计算程序.通过算例验证了各屈服准则下算法的正确性,证明了自然单元法相对于常规有限元算法在精度上的优势.在自然单元法中实现了Mohr-Coulomb和Drucker-Prager屈服准则,拓展了自然单元法的适用范围.In order to make natural element method (NEM) be applied to calculate and analyse the elasto-plastic material, through cosidering the essential elasto-plastic theory and the specialties of NEM, an algorithm for two dimensional elasto-plastic analysis based on the yield criteria of Von-Mises, Mohr-Coulomb and Drucker-Prager was presented. Each of them has an example to check its exactness and proves its advantage at precision. Those works enlarged the applicable range of NEM.

关 键 词：自然单元法 弹塑性分析 DELAUNAY三角化 屈服准则 

分 类 号：TU43[建筑科学—岩土工程]