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Combined extended and superimposed finite element method for cracks
Author(s) -
Lee SangHo,
Song JeongHoon,
Yoon YoungCheol,
Zi Goangseup,
Belytschko Ted
Publication year - 2004
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.908
Subject(s) - finite element method , extended finite element method , partition of unity , discontinuity (linguistics) , robustness (evolution) , displacement field , superposition principle , galerkin method , mathematics , mixed finite element method , mathematical analysis , structural engineering , geometry , engineering , biochemistry , chemistry , gene
A combination of the extended finite element method (XFEM) and the mesh superposition method (s‐version FEM) for modelling of stationary and growing cracks is presented. The near‐tip field is modelled by superimposed quarter point elements on an overlaid mesh and the rest of the discontinuity is implicitly described by a step function on partition of unity. The two displacement fields are matched through a transition region. The method can robustly deal with stationary crack and crack growth. It simplifies the numerical integration of the weak form in the Galerkin method as compared to the s‐version FEM. Numerical experiments are provided to demonstrate the effectiveness and robustness of the proposed method. Copyright © 2004 John Wiley & Sons, Ltd.