[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 :
Mathématiques
Auteur, co-auteur :
Agathos, Kostas
Chatzi, Eleni
BORDAS, Stéphane ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit
Talaslidis, Demosthenes
Co-auteurs externes :
yes
Langue du document :
Anglais
Titre :
XFEM with global enrichment for 3D cracks
Date de publication/diffusion :
17 juin 2015
Nombre de pages :
80
Nom de la manifestation :
Besançon Numerical Analysis Week
Organisateur de la manifestation :
Université de Besançon
Lieu de la manifestation :
Besançon, France
Date de la manifestation :
2015 June 13-17
Sur invitation :
Oui
Manifestation à portée :
International
Focus Area :
Computational Sciences
Projet européen :
FP7 - 279578 - REALTCUT - Towards real time multiscale simulation of cutting in non-linear materials with applications to surgical simulation and computer guided surgery