Please use this identifier to cite or link to this item: https://doi.org/10.1002/nme.2491
Title: A face-based smoothed finite element method (FS-FEM) for 3D linear and geometrically non-linear solid mechanics problems using 4-node tetrahedral elements
Authors: Nguyen-Thoi, T.
Liu, G.R. 
Lam, K.Y.
Zhang, G.Y. 
Keywords: Face-based smoothed finite element method (FS-FEM)
Finite element method (FEM)
Meshfree methods
Numerical methods
Smoothed finite element method (SFEM)
Smoothed technique
Tetrahedral elements
Issue Date: 16-Apr-2009
Citation: Nguyen-Thoi, T., Liu, G.R., Lam, K.Y., Zhang, G.Y. (2009-04-16). A face-based smoothed finite element method (FS-FEM) for 3D linear and geometrically non-linear solid mechanics problems using 4-node tetrahedral elements. International Journal for Numerical Methods in Engineering 78 (3) : 324-353. ScholarBank@NUS Repository. https://doi.org/10.1002/nme.2491
Abstract: This paper presents a novel face-based smoothed finite element method (FS-FEM) to improve the accuracy of the finite element method (FEM) for three-dimensional (3D) problems. The FS-FEM uses 4-node tetrahedral elements that can be generated automatically for complicated domains. In the FS-FEM, the system stiffness matrix is computed using strains smoothed over the smoothing domains associated with the faces of the tetrahedral elements. The results demonstrated that the FS-FEM is significantly more accurate than the FEM using tetrahedral elements for both linear and geometrically non-linear solid mechanics problems. In addition, a novel domain-based selective scheme is proposed leading to a combined FS/NS-FEM model that is immune from volumetric locking and hence works well for nearly incompressible materials. The implementation of the FS-FEM is straightforward and no penalty parameters or additional degrees of freedom are used. The computational efficiency of the FS-FEM is found better than that of the FEM. Copyright © 2008 John Wiley & Sons, Ltd.
Source Title: International Journal for Numerical Methods in Engineering
URI: http://scholarbank.nus.edu.sg/handle/10635/51291
ISSN: 00295981
DOI: 10.1002/nme.2491
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