Reference : Adaptive Isogeometric analysis for plate vibrations: An efficient approach of local r...
Scientific journals : Article
Engineering, computing & technology : Multidisciplinary, general & others
Computational Sciences
http://hdl.handle.net/10993/36556
Adaptive Isogeometric analysis for plate vibrations: An efficient approach of local refinement based on hierarchical a posteriori error estimation
English
Yu, Peng []
Anitescu, Cosmin []
Tomar, Satyendra mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
Bordas, Stéphane mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
Kerfriden, Pierre []
2018
Computer Methods in Applied Mechanics and Engineering
Elsevier
342
251-286
Yes (verified by ORBilu)
International
0045-7825
[en] Isogeometric analysis ; PHT splines ; Error estimation ; Adaptivity ; Free vibrations
[en] This paper presents a novel methodology of local adaptivity for the frequency-domain analysis of the vibrations of Reissner–Mindlin plates. The adaptive discretization is based on the recently developed Geometry Independent Field approximaTion (GIFT) framework, which may be seen as a generalization of the Iso-Geometric Analysis (IGA).Within the GIFT framework, we describe the geometry of the structure exactly with NURBS (Non-Uniform Rational B-Splines), whilst independently employing Polynomial splines over Hierarchical T-meshes (PHT)-splines to represent the solution field. The proposed strategy of local adaptivity, wherein a posteriori error estimators are computed based on inexpensive hierarchical h-refinement, aims to control the discretization error within a frequency band. The approach sweeps from lower to higher frequencies, refining the mesh appropriately so that each of the free vibration mode within the targeted frequency band is sufficiently resolved. Through several numerical examples, we show that the GIFT framework is a powerful and versatile tool to perform local adaptivity in structural dynamics. We also show that the proposed adaptive local h-refinement scheme allows us to achieve significantly faster convergence rates than a uniform h-refinement.
European Research Council, Germany in the project ERC-COMBAT, grant agreement 615132 ; FP7-PEOPLE-2011-ITN, Luxembourg (289361) ; FNR10318764 > Stephane Bordas > Fretting fatigue > Multi-analysis of fretting fatigue using physical and virtualexperiments > 01/07/2016 > 30/06/2019 > 2015
Researchers ; Professionals ; Students ; General public ; Others
http://hdl.handle.net/10993/36556
10.1016/j.cma.2018.08.010
FP7 ; 279578 - REALTCUT - Towards real time multiscale simulation of cutting in non-linear materials with applications to surgical simulation and computer guided surgery
FnR ; FNR8813215 > St�phane Bordas > CBM > Computational Biomechanics for Medicine: Beyond the Frontiers of Mechanics > 01/03/2015 > 28/02/2017 > 2014

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