Performance of a high-continuity finite element in three-dimensional elasticity

Bilotta, Antonio and Formica, Giovanni and Turco, Emilio (2010) Performance of a high-continuity finite element in three-dimensional elasticity. International Journal for Numerical Methods in Biomedical Engineering, Vol. 26 (9), p. 1155-1175. eISSN 2040-7947. Article.

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DOI: 10.1002/cnm.1201

Abstract

We test the performance of a three-dimensional finite element, named HC₃, which generalizes the high-continuity (HC) finite element proposed by Aristodemo in 1985 for two-dimensional elastic problems. The HC₃ finite element is based on a quadratic B-spline interpolation of the displacement field in three-dimensional linear elasticity. The main feature of this interpolation technique, which can be considered as a particular case of the Bézier interpolation, consists in its capability in reproducing displacement fields of C smoothness with a computational cost equivalent to a linear interpolation, i.e. with a single knot for each element.

Item Type:	Article
ID Code:	1851
Status:	Published
Refereed:	Yes
Uncontrolled Keywords:	Finite element design, B-splines, linear elasticity
Subjects:	Area 08 - Ingegneria civile e Architettura > ICAR/08 Scienza delle costruzioni
Divisions:	001 Università di Sassari > 01 Dipartimenti > Architettura e pianificazione
Publisher:	Blackwell / Wiley
eISSN:	2040-7947
Copyright Holders:	© 2008 John Wiley & Sons, Ltd.
Deposited On:	18 Aug 2009 10:06

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