On the choice of the linear element for corotational triangular shells

✍ Scribed by Jean-Marc Battini; Costin Pacoste

• Publisher: Elsevier Science
• Year: 2006
• Tongue: English
• Weight: 412 KB
• Volume: 195
• Category: Article
• ISSN: 0045-7825
• DOI: 10.1016/j.cma.2006.01.007

✦ Synopsis

The corotational formulation for triangular thin shell elements presented in [A. Eriksson, C. Pacoste, Element formulation and numerical techniques for stability problems in shells, Comput. Methods Appl. Mech. Engrg. 191 (2002) 3775-3810] is further developed in order to incorporate elasto-plastic deformations. Several local formulations are implemented and tested. These local elements are geometrically linear and are obtained by the by superposition of a membrane and a plate part. Eleven elastic and elasto-plastic examples are presented. Both the incremental and deformation theories of plasticity are considered. The first objective is to assess the performance of the present formulation in modelling elasto-plastic instability problems. The second objective is to compare the different linear local formulations: it is shown that some of them give better results in instability problems.