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Structured extended finite element methods for solids defined by implicit surfaces
Author(s) -
Belytschko Ted,
Parimi Chandu,
Moës Nicolas,
Sukumar N.,
Usui Shuji
Publication year - 2002
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.686
Subject(s) - finite element method , extended finite element method , mixed finite element method , element (criminal law) , computer science , basis (linear algebra) , smoothed finite element method , finite element limit analysis , surface (topology) , mathematics , algorithm , structural engineering , geometry , boundary knot method , engineering , boundary element method , political science , law
A paradigm is developed for generating structured finite element models from solid models by means of implicit surface definitions. The implicit surfaces are defined by radial basis functions. Internal features, such as material interfaces, sliding interfaces and cracks are treated by enrichment techniques developed in the extended finite element method. Methods for integrating the weak form for such models are proposed. These methods simplify the generation of finite element models. Results presented for several examples show that the accuracy of this method is comparable to standard unstructured finite element methods. Copyright © 2002 John Wiley & Sons, Ltd.