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

被引：53
|
作者：
Bilotta, Antonio [2 ]
Formica, Giovanni [1 ]
Turco, Emilio [3 ]
机构：
[1] Univ Roma Tre, Dipartimento Strutture, Rome, Italy
[2] Univ Calabria, Dipartimento Strutture, I-87036 Arcavacata Di Rende, Italy
[3] Univ Sassari, DAP, Alghero, Italy
来源：
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN BIOMEDICAL ENGINEERING | 2010年 / 26卷 / 09期
关键词：
finite element design; B-splines; linear elasticity; REFINEMENT;
D O I：
10.1002/cnm.1201
中图分类号：
R318 [生物医学工程];
学科分类号：
0831 ;
摘要：
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 Bezier interpolation, consists in its capability in reproducing displacement fields of C-1 smoothness with a computational cost equivalent to a linear interpolation, i.e. with a single knot for each element. Copyright (C) 2008 John Wiley & Sons, Ltd.
引用
收藏
页码：1155 / 1175
页数：21
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