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Avoiding shear locking for the Timoshenko beam problem via isogeometric collocation methods

delete2012-10-01
delete146
PRE
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L
L. Beirão da Veiga *
C
Carlo Lovadina
A
Alessandro Reali
DOI:10.1016/j.cma.2012.05.020delete
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Abstract

Abstract

En 中文
In this work we study isogeometric collocation methods for the Timoshenko beam problem, considering both mixed and displacement-based formulations. In particular, we show that locking-free solutions are obtained for mixed methods independently on the approximation degrees selected for the unknown fields. Moreover, several numerical tests are provided in order to support our theoretical results and to show the good behavior and the flexibility of isogeometric collocation methods in this context. (C) 2012 Elsevier B.V. All rights reserved.
Keywords:
Isogeometric analysis
Collocation methods
B-splines
Timoshenko beam
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Journal

Computer Methods in Applied Mechanics and Engineering cover
Computer Methods in Applied Mechanics and Engineering
IF:
7.3
Papers:
1.3W
Citations:
5.6W

Organization

C
consiglio nazionale delle ricerche (cnr)
Scholars:
6.2W
Papers: 5.7W
Citations: 48
U
University of Milan
Scholars:
5.1W
Papers: 3.9W
Citations: 5.0W