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Performance of a high‐continuity finite element in three‐dimensional elasticity
Author(s) -
Bilotta Antonio,
Formica Giovanni,
Turco Emilio
Publication year - 2010
Publication title -
international journal for numerical methods in biomedical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.741
H-Index - 63
eISSN - 2040-7947
pISSN - 2040-7939
DOI - 10.1002/cnm.1201
Subject(s) - finite element method , mathematics , interpolation (computer graphics) , linear elasticity , elasticity (physics) , mathematical analysis , displacement field , spline interpolation , spline (mechanical) , linear interpolation , extended finite element method , bilinear interpolation , geometry , structural engineering , engineering , physics , mechanical engineering , statistics , polynomial , thermodynamics , frame (networking)
Abstract We test the performance of a three‐dimensional finite element, named HC 3 , which generalizes the high‐continuity (HC) finite element proposed by Aristodemo in 1985 for two‐dimensional elastic problems. The HC 3 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 1 smoothness with a computational cost equivalent to a linear interpolation, i.e. with a single knot for each element. Copyright © 2008 John Wiley & Sons, Ltd.