Performance of a high‐continuity finite element in three‐dimensional elasticity | Zendy

Bilotta Antonio | Zendy; Formica Giovanni | Zendy; Turco Emilio | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Premium

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)

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.

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research