Reference : Isogeometric analysis of thin Reissner-Mindlin plates and shells: Locking phenomena a...
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http://hdl.handle.net/10993/32445
Isogeometric analysis of thin Reissner-Mindlin plates and shells: Locking phenomena and generalized local B-bar method
English
Hu, Qingyuan mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit > ; Dalian University of Technology, Dalian 116024, P.R. China > Department of Engineering Mechanics]
Xia, Yang [Dalian University of Technology, Dalian 116024, P.R. China > School of Automotive Engineering]
Natarajan, Sundararajan [Indian Institute of Technology, Madras, Chennai-600036, India > Department of Mechanical Engineering > Integrated Modelling and Simulation Lab]
Zilian, Andreas [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
Hu, Ping [Dalian University of Technology, Dalian 116024, P.R. China > School of Automotive Engineering]
Bordas, Stéphane [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
30-Aug-2017
Yes
[en] Isogeometric ; Reissner-Mindlin shell theory ; shear locking ; B-bar method ; least squares
[en] We propose a generalized local $\bar{B}$ framework, addressing locking in degenerated Reissner-Mindlin plate and shell formulations 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 is general and allows the flexible utilization of basis functions of different order as the projection bases. The present formulation is much cheaper computationally than the global $\bar{B}$ method. Through numerical examples, we show the consistency of the scheme, although the method is not Hu-Washizu variationally consistent. The numerical examples show that the proposed formulation alleviates locking and yields good accuracy for various thicknesses, even for slenderness ratios of $1 \times 10^5$, and has the ability to capture deformations of thin shells using relatively coarse meshes. From the detailed numerical study, it can be opined that the proposed method is less sensitive to locking and mesh distortion.
Q. Hu is funded by China Scholarship Council and National Natural Science Foundation of China (No. 11272075). ; Y. Xia is funded by National Natural Science Foundation of China (No.61572021, 11272075). ; St\'ephane Bordas thanks partial funding for his time provided by the European Research Council Starting Independent Research Grant (ERC Stg grant agreement No. 279578) "RealTCut Towards real time multiscale simulation of cutting in non-linear materials with applications to surgical simulation and computer guided surgery". We also thank the funding from the Luxembourg National Research Fund (INTER/MOBILITY/14/8813215/CBM/Bordas and INTER/FWO/15/10318764). Q. Hu is thankful for Prof. Gengdong Cheng for the valuable suggestions of this research subject.
Researchers ; Professionals ; Students ; Others
http://hdl.handle.net/10993/32445
https://arxiv.org/abs/1709.00402

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