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Three‐dimensional integration strategies of singular functions introduced by the XFEM in the LEFM
Author(s) -
Minnebo Hans
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.4378
Subject(s) - scope (computer science) , stress intensity factor , computation , finite element method , stiffness matrix , extended finite element method , stiffness , matrix (chemical analysis) , mathematics , singular integral , mathematical analysis , structural engineering , computer science , algorithm , engineering , integral equation , materials science , composite material , programming language
SUMMARY The use of the extended finite element method in the scope of linear elastic fracture mechanics induces the integration of singular functions in terms of the stiffness matrix and in the computation of stress intensity factors using the interaction integral method. An adapted method is proposed in this paper to treat efficiently the three‐dimensional case. The improvement is demonstrated by comparison with standard and other methods found in the literature. Copyright © 2012 John Wiley & Sons, Ltd.