Journal
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
Volume 263, Issue -, Pages 113-126Publisher
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2013.03.009
Keywords
Isogeometric analysis; Collocation methods; NURBS; Spatial Timoshenko rod; Locking-free methods
Funding
- European Commission through the FP7 Factory of the Future project TERRIFIC [FoF-ICT-2011.7.4, 284981]
- European Research Council [259229 ISOBIO, 205004 GeoPDEs]
- Italian MIUR through the FIRB Futuro in Ricerca [RBFR08CZ0S]
- Italian MIUR through PRIN Project [2010BFXRHS]
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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.
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