A comparison between the volumetrically elastic and deviatorically rigid-plastic FEM and the penalty rigid-plastic FEM

✍ Scribed by Guo, Yong-Ming ;Yokouchi, Yasuto ;Nakanishi, Kenji ;Kamitani, Shunpei

• Publisher: John Wiley and Sons
• Year: 1999
• Tongue: English
• Weight: 166 KB
• Volume: 15
• Category: Article
• ISSN: 1069-8299
• DOI: 10.1002/(sici)1099-0887(199901)15:1<43::aid-cnm222>3.0.co;2-4

✦ Synopsis

The volumetrically elastic and deviatorically rigid-plastic ®nite element method (FEM) is a dierent method from the conventional penalty rigid-plastic FEM, and has some merits in comparison with the penalty rigidplastic FEM. To secure numerical evidence on the dierence between the two kinds of methods and to show the merits of the volumetrically elastic and deviatorically rigid-plastic FEM, this paper makes analyses of the upsetting of an aluminium alloy column by the two kinds of methods. Then, normal solutions are compared with deviant solutions that are given by relaxing convergence criteria of the iterative solution in a calculated step by the two kinds of methods, respectively. In this way, it can be clari®ed that the errors of the step virtually disappear, and that the calculated results are largely corrected in the next step and the later steps for the volumetrically elastic and deviatorically rigid-plastic ®nite element analysis.