Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.compstruc.2008.09.003
Title: A node-based smoothed finite element method (NS-FEM) for upper bound solutions to solid mechanics problems
Authors: Liu, G.R. 
Nguyen-Thoi, T.
Nguyen-Xuan, H.
Lam, K.Y.
Keywords: Finite element method (FEM)
Global error
Lower bound
Polygonal
Smoothed finite element method (SFEM)
Upper bound
Issue Date: Jan-2009
Source: Liu, G.R., Nguyen-Thoi, T., Nguyen-Xuan, H., Lam, K.Y. (2009-01). A node-based smoothed finite element method (NS-FEM) for upper bound solutions to solid mechanics problems. Computers and Structures 87 (1-2) : 14-26. ScholarBank@NUS Repository. https://doi.org/10.1016/j.compstruc.2008.09.003
Abstract: This paper presents a node-based smoothed finite element method (NS-FEM) for upper bound solutions to solid mechanics problems using a mesh of polygonal elements. The calculation of the system stiffness matrix is performed using strain smoothing technique over the smoothing cells associated with nodes, which leads to line integrations along the edges of the smoothing cells. The numerical results demonstrated that the NS-FEM possesses the following properties: (1) upper bound in the strain energy of the exact solution when a reasonably fine mesh is used; (2) well immune from the volumetric locking; (3) can use polygonal elements with an arbitrary number of sides; (4) insensitive to element distortion. © 2008 Elsevier Ltd. All rights reserved.
Source Title: Computers and Structures
URI: http://scholarbank.nus.edu.sg/handle/10635/54557
ISSN: 00457949
DOI: 10.1016/j.compstruc.2008.09.003
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