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Bilinear finite elements for shells: Isoparametric quadrilaterals

✍ Scribed by Antti H. Niemi; Juhani Pitkäranta

Publisher
John Wiley and Sons
Year
2008
Tongue
English
Weight
388 KB
Volume
75
Category
Article
ISSN
0029-5981

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✦ Synopsis

Abstract

We study the accuracy and reliability of the lowest‐order bilinear shell finite element schemes. Our approach is based mainly on a simplified shallow shell model analogous to the Reissner–Mindlin model of plate bending. The numerical models are constructed by modifying the strain expressions within the usual energy principle so that error analysis in the energy norm framework is possible. Our theoretical predictions supported by numerical experiments indicate that the performance of the low‐order methods is both mesh and case dependent. Copyright © 2007 John Wiley & Sons, Ltd.

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