Locking-free isogeometric collocation methods for spatial Timoshenko rods

被引：120
作者：
Auricchio, F. [1 ,2 ,3 ]
da Veiga, L. Beirao [4 ]
Kiendl, J. [1 ]
Lovadina, C. [3 ,5 ]
Reali, A. [1 ,2 ,3 ]
机构：
[1] Univ Pavia, Dept Civil Engn & Architecture, I-27100 Pavia, Italy
[2] IUSS, Ctr Adv Numer Simulat CESNA, I-27100 Pavia, Italy
[3] IMATI CNR, Pavia, Italy
[4] Univ Milan, Math Dept F Enriques, I-20133 Milan, Italy
[5] Univ Pavia, Dept Math, I-27100 Pavia, Italy
来源：
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2013年 / 263卷
基金：
欧洲研究理事会;
关键词：
Isogeometric analysis; Collocation methods; NURBS; Spatial Timoshenko rod; Locking-free methods; FINITE-ELEMENTS; NURBS; SIMULATION;
D O I：
10.1016/j.cma.2013.03.009
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this work we present the application of isogeometric collocation techniques to the solution of spatial Timoshenko rods. The strong form equations of the problem are presented in both displacement-based and mixed formulations and are discretized via NURBS-based isogeometric collocation. Several numerical experiments are reported to test the accuracy and efficiency of the considered methods, as well as their applicability to problems of practical interest. In particular, it is shown that mixed collocation schemes are locking-free independently of the choice of the polynomial degrees for the unknown fields. Such an important property is also analytically proven. (C) 2013 Elsevier B.V. All rights reserved.
引用
收藏
页码：113 / 126
页数：14
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