Details

Autor(en) / Beteiligte

• Green, Seth
• Turkiyyah, George M.

Titel

A rotation-free quadrilateral thin shell subdivision finite element

Ist Teil von

• Communications in numerical methods in engineering, 2005-12, Vol.21 (12), p.757-767

Ort / Verlag

Chichester, UK: John Wiley & Sons, Ltd

Erscheinungsjahr

2005

Quelle

Access via Wiley Online Library

Beschreibungen/Notizen

• We present a rotation‐free, subdivision‐based, isoparametric quadrilateral finite element for the analysis of doubly‐curved thin shells. The element is a generalization of spline‐based C1 finite elements to curved domains, and general mesh connectivity. It uses semi‐local basis functions that span the two‐neighbourhood of a node. The traditional difficulty with this class of elements comes from the fact that these basis functions depend on the valence of the nodes of the element. For elements with 4‐valence nodes the basis functions are bicubic polynomials, but there are no simple closed‐form expressions for them when the nodes have general connectivity patterns. In the paper, we show how the basis functions for the general case may be efficiently evaluated as linear combinations of translation and scaling transformations of the bicubic polynomials. The performance of the resulting element is illustrated on a hemispherical shell model problem. Copyright © 2005 John Wiley & Sons, Ltd.