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An improved crack analysis technique by element‐free Galerkin method with auxiliary supports
Author(s) -
Lee SangHo,
Yoon YoungCheol
Publication year - 2003
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.611
Subject(s) - discontinuity (linguistics) , stress intensity factor , galerkin method , singularity , parametric statistics , finite element method , stress field , norm (philosophy) , mathematics , function (biology) , mathematical analysis , structural engineering , computer science , engineering , statistics , evolutionary biology , political science , law , biology
In this study, an improved crack analysis technique by element‐free Galerkin method (EFGM) with auxiliary supports is proposed. To efficiently model the singularity and the discontinuity of the crack, a singular basis function which varies only on the auxiliary supports is added to enrich the standard EFG approximation and the discontinuous shape function is used in the vicinity of the crack surface. The proposed technique improves the accuracy in the near tip field, by using only an initial node arrangement without any modification until the completion of an analysis. A parametric study, which can guide the analyst on the reasonable choice for the formulation and modelling parameters to be used in the technique, is performed on a relative stress norm error and stress intensity factor. In addition, some numerical examples are analysed to verify the effectiveness of the proposed technique for a crack problem. Copyright © 2003 John Wiley & Sons, Ltd.