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An n ‐sided polygonal edge‐based smoothed finite element method ( n ES‐FEM) for solid mechanics
Author(s) -
NguyenThoi T.,
Liu G. R.,
NguyenXuan H.
Publication year - 2011
Publication title -
international journal for numerical methods in biomedical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.741
H-Index - 63
eISSN - 2040-7947
pISSN - 2040-7939
DOI - 10.1002/cnm.1375
Subject(s) - finite element method , smoothed finite element method , discretization , interpolation (computer graphics) , extended finite element method , mathematics , mixed finite element method , hp fem , enhanced data rates for gsm evolution , convergence (economics) , mathematical analysis , geometry , finite element limit analysis , boundary knot method , computer science , structural engineering , engineering , boundary element method , animation , telecommunications , computer graphics (images) , economics , economic growth
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 ( n ES‐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 n ES‐FEM shape functions. In addition, a novel domain‐based selective scheme of a combined n ES/NS‐FEM model is also proposed to avoid volumetric locking. Several numerical examples are investigated and the results of the n ES‐FEM are found to agree well with exact solutions and are much better than those of others existing methods. Copyright © 2010 John Wiley & Sons, Ltd.