[en] We present a promising approach to reduce the difficulties associated with meshing complex curved domain boundaries for higher-order finite elements. In this work, higher-order XFEM analyses for strong discontinuity in the case of linear elasticity problems are presented. Curved implicit boundaries are approximated inside an unstructured coarse mesh by using parametric information extracted from the parametric representation (the most common in Computer Aided Design CAD). This approximation provides local graded sub-mesh (GSM) inside boundary elements (i.e. an element split by the curved boundary) which will be used for integration purpose. Sample geometries and numerical experiments illustrate the accuracy and robustness of the proposed approach.
Disciplines :
Ingénierie mécanique
Auteur, co-auteur :
Moumnassi, Mohammed
BORDAS, Stéphane ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit
Figueredo, R
Sansen, P
Langue du document :
Anglais
Titre :
Analysis using higher-order XFEM: implicit representation of geometrical features from a given parametric representation
Date de publication/diffusion :
2014
Titre du périodique :
Mechanics and Industry
ISSN :
2257-7777
eISSN :
2257-7750
Maison d'édition :
Cambridge University Press, Les Ulis, France
Volume/Tome :
15
Fascicule/Saison :
05
Pagination :
443-448
Peer reviewed :
Peer reviewed vérifié par ORBi
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
