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Polyhedral elements by means of node/edge‐based smoothed finite element method
Author(s) -
Lee Chan,
Kim Hobeom,
Im Seyoung
Publication year - 2016
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.5449
Subject(s) - finite element method , smoothed finite element method , smoothing , mixed finite element method , mathematics , interpolation (computer graphics) , convergence (economics) , linear elasticity , hp fem , finite element limit analysis , mathematical optimization , enhanced data rates for gsm evolution , extended finite element method , algorithm , node (physics) , rate of convergence , computer science , boundary knot method , structural engineering , engineering , boundary element method , animation , telecommunications , computer network , channel (broadcasting) , statistics , computer graphics (images) , economics , economic growth
Summary The node‐based or edge‐based smoothed finite element method is extended to develop polyhedral elements that are allowed to have an arbitrary number of nodes or faces, and so retain a good geometric adaptability. The strain smoothing technique and implicit shape functions based on the linear point interpolation make the element formulation simple and straightforward. The resulting polyhedral elements are free from the excessive zero‐energy modes and yield a robust solution very much insensitive to mesh distortion. Several numerical examples within the framework of linear elasticity demonstrate the accuracy and convergence behavior. The smoothed finite element method‐based polyhedral elements in general yield solutions of better accuracy and faster convergence rate than those of the conventional finite element methods. Copyright © 2016 John Wiley & Sons, Ltd.