Please use this identifier to cite or link to this item: https://doi.org/10.1002/cnm.1375
Title: An n-sided polygonal edge-based smoothed finite element method (nES-FEM) for solid mechanics
Authors: Nguyen-Thoi, T.
Liu, G.R. 
Nguyen-Xuan, H.
Keywords: Edge-based smoothed finite element method (ES-FEM)
Finite element method (FEM)
Node-based smoothed finite element method (NS-FEM)
Numerical methods
Polygonal element
Smoothed finite element methods (S-FEM)
Issue Date: Sep-2011
Source: Nguyen-Thoi, T., Liu, G.R., Nguyen-Xuan, H. (2011-09). An n-sided polygonal edge-based smoothed finite element method (nES-FEM) for solid mechanics. International Journal for Numerical Methods in Biomedical Engineering 27 (9) : 1446-1472. ScholarBank@NUS Repository. https://doi.org/10.1002/cnm.1375
Abstract: An edge-based smoothed finite element method (ES-FEM) using triangular elements was recently proposed to improve the accuracy and convergence rate of the existing standard finite element method (FEM) for the elastic solid mechanics problems. In this paper the ES-FEM is further extended to a more general case, n-sided polygonal edge-based smoothed finite element method (nES-FEM), in which the problem domain can be discretized by a set of polygons, each with an arbitrary number of sides. The simple averaging point interpolation method is suggested to construct nES-FEM shape functions. In addition, a novel domain-based selective scheme of a combined nES/NS-FEM model is also proposed to avoid volumetric locking. Several numerical examples are investigated and the results of the nES-FEM are found to agree well with exact solutions and are much better than those of others existing methods. © 2010 John Wiley & Sons, Ltd.
Source Title: International Journal for Numerical Methods in Biomedical Engineering
URI: http://scholarbank.nus.edu.sg/handle/10635/59500
ISSN: 20407939
DOI: 10.1002/cnm.1375
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