Article (Scientific journals)
Isogeometric analysis of thin Reissner-Mindlin shells: locking phenomena and B-bar method
Hu, Qingyuan; Xia, Yang; Natarajan, Sundararajan et al.
2020In Computational Mechanics, 65 (5), p. 1323-1341
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Keywords :
Isogeometric; Reissner–Mindlin shell; Locking; · B-bar method; Mesh distortion
Abstract :
[en] We propose a local type of B-bar formulation, addressing locking in degenerated Reissner–Mindlin shell formulation in the context of isogeometric analysis. Parasitic strain components are projected onto the physical space locally, i.e. at the element level, using a least-squares approach. The formulation allows the flexible utilization of basis functions of different orders as the projection bases. The introduced formulation is much cheaper computationally than the classical $$\bar{B}$$B¯ method. We show the numerical consistency of the scheme through numerical examples, moreover they show that the proposed formulation alleviates locking and yields good accuracy even for slenderness ratios of $$10^5$$105, and has the ability to capture deformations of thin shells using relatively coarse meshes. In addition it can be opined that the proposed method is less sensitive to locking with irregular meshes.
Disciplines :
Engineering, computing & technology: Multidisciplinary, general & others
Author, co-author :
Hu, Qingyuan
Xia, Yang
Natarajan, Sundararajan
Zilian, Andreas  ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit
Hu, Ping
Bordas, Stéphane ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit
External co-authors :
yes
Language :
English
Title :
Isogeometric analysis of thin Reissner-Mindlin shells: locking phenomena and B-bar method
Publication date :
2020
Journal title :
Computational Mechanics
ISSN :
1432-0924
Publisher :
Springer, New York, Germany
Volume :
65
Issue :
5
Pages :
1323-1341
Peer reviewed :
Peer Reviewed verified by ORBi
European Projects :
FP7 - 279578 - REALTCUT - Towards real time multiscale simulation of cutting in non-linear materials with applications to surgical simulation and computer guided surgery
FnR Project :
FNR10318764 - Multi-analysis Of Fretting Fatigue Using Physical And Virtual Experiments, 2015 (01/07/2016-30/06/2019) - Stéphane Bordas
Funders :
CE - Commission Européenne [BE]
FNR - Fonds National de la Recherche [LU]
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