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Stress intensity factors computation for bending plates with extended finite element method
Author(s) -
Lasry Jérémie,
Renard Yves,
Salaün Michel
Publication year - 2012
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.4292
Subject(s) - finite element method , quadrilateral , discontinuity (linguistics) , computation , discretization , stress intensity factor , bending , extended finite element method , mathematics , structural engineering , gravitational singularity , point (geometry) , bending of plates , mathematical analysis , space (punctuation) , mixed finite element method , geometry , engineering , computer science , algorithm , operating system
SUMMARY The modelization of bending plates with through‐the‐thickness cracks is investigated. We consider the Kirchhoff–Love plate model, which is valid for very thin plates. Reduced Hsieh–Clough–Tocher triangles and reduced Fraejis de Veubeke–Sanders quadrilaterals are used for the numerical discretization. We apply the eXtended Finite Element Method strategy: enrichment of the finite element space with the asymptotic bending singularities and with the discontinuity across the crack. The main point, addressed in this paper, is the numerical computation of stress intensity factors. For this, two strategies, direct estimate and J‐integral, are described and tested. Some practical rules, dealing with the choice of some numerical parameters, are underlined. Copyright © 2012 John Wiley & Sons, Ltd.