Padé approximants applied to a non-linear finite element solution strategy

✍ Scribed by DE BOER, HENK ;VAN KEULEN, FRED

• Publisher: John Wiley and Sons
• Year: 1997
• Tongue: English
• Weight: 169 KB
• Volume: 13
• Category: Article
• ISSN: 1069-8299
• DOI: 10.1002/(sici)1099-0887(199707)13:7<593::aid-cnm104>3.0.co;2-v

✦ Synopsis

The present work deals with an asymptotic numerical method, based on Pade approximants. The expected advantage of this method is twofold. Firstly, it reduces the computational costs. Secondly, the automatization of the continuation process becomes easier, since the step-length can be determined a posteriori. So far, this method has only been applied to DKT elements. Here it is applied to other types of elements, namely truss elements and ®nite rotation non-linear shell elements. It will be shown that diculties arise when this method is applied to ®nite rotation shell elements.