Reference : Isogeometric analysis of thin Reissner-Mindlin shells: locking phenomena and B-bar method
 Document type : Scientific journals : Article Discipline(s) : Engineering, computing & technology : Multidisciplinary, general & others To cite this reference: http://hdl.handle.net/10993/43237
 Title : Isogeometric analysis of thin Reissner-Mindlin shells: locking phenomena and B-bar method Language : English 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 >] Publication date : 2020 Journal title : Computational Mechanics Publisher : Springer Volume : 65 Issue/season : 5 Pages : 1323-1341 Peer reviewed : Yes (verified by ORBilu) Audience : International ISSN : 0178-7675 e-ISSN : 1432-0924 City : New York Country : Germany Keywords : [en] 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. Funders : European Commission - EC ; Fonds National de la Recherche - FnR Target : Researchers ; Professionals Permalink : http://hdl.handle.net/10993/43237 DOI : 10.1007/s00466-020-01821-5 Other URL : https://doi.org/10.1007/s00466-020-01821-5 Framework Programme / European Project : 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 : 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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