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|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.
|Keywords:||Face-based smoothed finite element method (FS-FEM)
Finite element method (FEM)
Smoothed finite element method (SFEM)
|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|
|Appears in Collections:||Staff Publications|
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