Reference : Isogeometric analysis of thin Reissner-Mindlin shells: locking phenomena and B-bar method
Scientific journals : Article
Engineering, computing & technology : Multidisciplinary, general & others
http://hdl.handle.net/10993/43237
Isogeometric analysis of thin Reissner-Mindlin shells: locking phenomena and B-bar method
English
Hu, Qingyuan []
Xia, Yang []
Natarajan, Sundararajan []
Zilian, Andreas mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
Hu, Ping []
Bordas, Stéphane mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
2020
Computational Mechanics
Springer
65
5
1323-1341
Yes (verified by ORBilu)
International
0178-7675
1432-0924
New York
Germany
[en] Isogeometric ; Reissner–Mindlin shell ; Locking ; · B-bar method ; Mesh distortion
[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.
European Commission - EC ; Fonds National de la Recherche - FnR
Researchers ; Professionals
http://hdl.handle.net/10993/43237
10.1007/s00466-020-01821-5
https://doi.org/10.1007/s00466-020-01821-5
FP7 ; 279578 - REALTCUT - Towards real time multiscale simulation of cutting in non-linear materials with applications to surgical simulation and computer guided surgery
FnR ; FNR10318764 > Stéphane Bordas > Fretting fatigue > Multi-analysis of fretting fatigue using physical and virtualexperiments > 01/07/2016 > 30/06/2019 > 2015

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