Reference : Bubble-Enriched Smoothed Finite Element Methods for Nearly-Incompressible Solids
Scientific journals : Article
Engineering, computing & technology : Multidisciplinary, general & others
Computational Sciences
http://hdl.handle.net/10993/46096
Bubble-Enriched Smoothed Finite Element Methods for Nearly-Incompressible Solids
English
Lee, Changkye []
Natarajan, Sundararajan []
Hale, Jack mailto [University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Engineering (DoE) >]
Taylor, Zeike A. []
Lee, Jurng-Jae []
Bordas, Stéphane mailto [University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Engineering (DoE) >]
19-Apr-2021
Computer Modeling in Engineering and Sciences
Tech Science Press
127
2
411-436
Yes
International
1526-1492
1526-1506
Palmdale
CA
[en] strain smoothing ; smoothed finite element method ; SFEM ; bubble functions ; hyperelasticity ; mesh distortion
[en] This work presents a locking-free smoothed finite element method (S-FEM) for the simulation of soft matter modelled by the equations of quasi-incompressible hyperelasticity. The proposed method overcomes well-known issues of standard finite element methods (FEM) in the incompressible limit: the over-estimation of stiffness and sensitivity to severely distorted meshes. The concepts of cell-based, edge-based and node-based S-FEMs are extended in this paper to three-dimensions. Additionally, a cubic bubble function is utilized to improve accuracy and stability. For the bubble function, an additional displacement degree of freedom is added at the centroid of the element. Several numerical studies are performed demonstrating the stability and validity of the proposed approach. The obtained results are compared with standard FEM and with analytical solutions to
show the effectiveness of the method.
NRF Korea
2016R1A6A1A03012812
Researchers
http://hdl.handle.net/10993/46096
10.32604/cmes.2021.014947

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