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An X‐FEM approach for large sliding contact along discontinuities
Author(s) -
Nistor I.,
Guiton M. L. E.,
Massin P.,
Moës N.,
Géniaut S.
Publication year - 2008
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.2532
Subject(s) - classification of discontinuities , finite element method , discontinuity (linguistics) , displacement (psychology) , stability (learning theory) , extended finite element method , structural engineering , mathematics , geometry , engineering , mathematical analysis , computer science , psychology , machine learning , psychotherapist
The extended finite element method (X‐FEM) has been developed to minimize requirements on the mesh design in a problem with a displacement discontinuity. This advantage, however, still remains limited to the small deformation hypothesis when considering sliding discontinuities. The approach presented in this paper proposes to couple X‐FEM with a Lagrangian large sliding frictionless contact algorithm. A new hybrid X‐FEM contact element was developed with a contact search algorithm allowing for an update of contacting surfaces pairing. The stability of the contact formulation is ensured by an algorithm for fulfilling Ladyzhenskaya‐Babuska‐Brezzi (LBB) condition. Several 2D simple examples are presented in this paper in order to prove its efficiency and stability. Copyright © 2008 John Wiley & Sons, Ltd.