Article (Scientific journals)
Application of the X-FEM to the fracture of piezoelectric materials
Béchet, Eric; Scherzer, M.; Kuna, M.
2009In International Journal for Numerical Methods in Engineering, 77 (11), p. 1535-1565
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Keywords :
finite elements; extended finite element method; piezoelectric materials; convergence; crack
Abstract :
[en] This paper presents an application of the extended finite element method (X-FEM) to the analysis of fracture in piezoelectric materials. These materials are increasingly used in actuators and sensors. New applications can be found as constituents of smart composites for adaptive electromechanical structures. Under in service loading, phenomena of crack initiation and propagation may occur due to high electromechanical field concentrations. In the past few years, the X-FEM has been applied mostly to model cracks in structural materials. The present paper focuses at first on the definition of new enrichment functions suitable for cracks in piezoelectric structures. At second, generalized domain integrals are used for the determination of crack tip parameters. The approach is based on specific asymptotic crack tip Solutions, derived for piezoelectric materials. We present convergence results in the energy norm and for the stress intensity factors, in various settings. Copyright (C) 2008 John Wiley & Sons, Ltd.
Disciplines :
Mathematics
Engineering, computing & technology: Multidisciplinary, general & others
Author, co-author :
Béchet, Eric ;  Université de Liège - ULiège > Département d'aérospatiale et mécanique > Conception géométrique assistée par ordinateur
Scherzer, M.;  2Institut f¨ur Mechanik und Fluiddynamik, TU Bergakademie Freiberg, Lampadiusstraße 4, 09596 Freiberg, Germany
Kuna, M.;  2Institut f¨ur Mechanik und Fluiddynamik, TU Bergakademie Freiberg, Lampadiusstraße 4, 09596 Freiberg, Germany
Language :
English
Title :
Application of the X-FEM to the fracture of piezoelectric materials
Publication date :
2009
Journal title :
International Journal for Numerical Methods in Engineering
ISSN :
0029-5981
eISSN :
1097-0207
Publisher :
John Wiley & Sons, Inc, Chichester, United Kingdom
Volume :
77
Issue :
11
Pages :
1535-1565
Peer reviewed :
Peer Reviewed verified by ORBi
Available on ORBi :
since 21 January 2010

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