[en] We present an extended finite element method (XFEM) based on fixed area enrichment which 1) suppresses the difficulties associated with ill-conditioning, even for "large" enrichment radii; 2) requires 50 times fewer enriched degrees of freedom (for a typical mesh) as the standard XFEM with geometrical enrichment (for the same or better accuracy level); 3) increases the accuracy level of the stress intensity factors and leads to "smooth" stress intensity variations along the crack front.
Disciplines :
Mathematics
Author, co-author :
Agathos, Kostas
Chatzi, Eleni
Bordas, Stéphane ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit
Talaslidis, Demosthenes
External co-authors :
yes
Language :
English
Title :
XFEM with global enrichment for 3D cracks
Publication date :
17 June 2015
Number of pages :
80
Event name :
Besançon Numerical Analysis Week
Event organizer :
Université de Besançon
Event place :
Besançon, France
Event date :
2015 June 13-17
By request :
Yes
Audience :
International
Focus Area :
Computational Sciences
European Projects :
FP7 - 279578 - REALTCUT - Towards real time multiscale simulation of cutting in non-linear materials with applications to surgical simulation and computer guided surgery
