Scientific conference in universities or research centers (Scientific conferences in universities or research centers)
Application of the X-FEM to the fracture of piezoelectric materials
Béchet, Eric; Scherzer, Matthias; Kuna, Meinhard
2006
 

Files


Full Text
presentation_WCCM7.pdf
Publisher postprint (1.94 MB)
Download

All documents in ORBi are protected by a user license.

Send to



Details



Abstract :
[en] Materials exhibiting a strong piezoelectric effect may be used in many applications, where they serve as sensors, actuators or transducers. These applications range from for sub-millimeter length scales in MEMs (Micro-Electro-Mechanical Systems) up to large scales in the the design of smart wings in the aerospace industry. As for regular materials subjected to high mechanical stresses, the knowledge of fracture behavior for these smart materials is often crucial within the design of parts under high electrical and mechanical loading. The Extended Finite Element Method [1] has been originally designed for crack growth analysis in isotropic elastic materials. In association with level-sets [2] as a mean for representing the crack geometry, it is a powerful way to get rid of the costly constrained remeshing needed with conventional techniques. Under certain circumstances, this method is also able to achieve regular convergence rates in the energy error even for a cracked domain [3]. Piezoelectric materials exhibit an transversely isotropic mechanical characteristic, as well as a coupling between mechanical and electrical variables. This leads to different near-crack tip mechanical fields and the presence of singularities in the electrical variables [4][5]. To treat this new problem in the X-FEM, specific crack analysis tools and changes in the enrichment functions are needed which allows to represent the crack- both in the mechanical and electrical functional spaces. In this work, we will present these techniques and perform a convergence analysis to ensure that the crack tip behavior is accurately taken into account. Finally, we suggest a simple propagation model for crack growth.
Disciplines :
Materials science & engineering
Computer science
Mechanical engineering
Author, co-author :
Béchet, Eric ;  Université de Liège - ULiège > Département d'aérospatiale et mécanique > Conception géométrique assistée par ordinateur
Scherzer, Matthias;  Technische Universität Bergakademie Freiberg > Institut für Mechanik und Fluiddynamik
Kuna, Meinhard;  Technische Universität Bergakademie Freiberg > Institut für Mechanik und Fluiddynamik
Language :
English
Title :
Application of the X-FEM to the fracture of piezoelectric materials
Publication date :
2006
Event name :
7th WCCM
Event place :
Los Angeles, United States
Event date :
2006
Audience :
International
Available on ORBi :
since 27 January 2012

Statistics


Number of views
59 (3 by ULiège)
Number of downloads
389 (6 by ULiège)

Bibliography


Similar publications



Contact ORBi