Lee, C, Natarajan, S, Hale, JS et al. (3 more authors) (2021) Bubble-Enriched Smoothed Finite Element Methods for Nearly-Incompressible Solids. Computer Modeling in Engineering & Sciences, 127 (2). pp. 411-436. ISSN 1526-1492
Abstract
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.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | This item is protected by copyright. This work is licensed under a Creative Commons Attribution 4.0 International License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. |
Keywords: | Strain smoothing; smoothed finite element method; bubble functions; hyperelasticity; mesh distortion |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mechanical Engineering (Leeds) > Institute of Medical and Biological Engineering (iMBE) (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 17 Jul 2023 10:46 |
Last Modified: | 17 Jul 2023 10:46 |
Status: | Published |
Publisher: | Tech Science Press |
Identification Number: | 10.32604/cmes.2021.014947 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:201514 |