model order reduction; Constitutive relation error; error estimation; Computational homogenisation; homogenisation; Proper orthogonal decomposition
Résumé :
In this paper, we propose upper and lower error bounding techniques for reduced order modelling applied to the computational homogenisation of random composites. The upper bound relies
on the construction of a reduced model for the stress field. Upon ensuring that the reduced stress
satisfies the equilibrium in the nite element sense, the desired bounding property is obtained. The
lower bound is obtained by defining a hierarchical enriched reduced model for the displacement.
We show that the sharpness of both error estimates can be seamlessly controlled by adapting the
parameters of the corresponding reduced order model.
Disciplines :
Ingénierie, informatique & technologie: Multidisciplinaire, généralités & autres
Auteur, co-auteur :
Kerfriden, Pierre; Cardiff University > Institute of Mechanics and Advanced Materials > Lecturer
Ródenas, Juan-José
BORDAS, Stéphane ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit
Langue du document :
Anglais
Titre :
Certification of projection-based reduced order modelling in computational homogenisation by the Constitutive Relation Error
Date de publication/diffusion :
février 2014
Titre du périodique :
International Journal for Numerical Methods in Engineering
ISSN :
0029-5981
eISSN :
1097-0207
Maison d'édition :
Wiley, Chichester, Royaume-Uni
Volume/Tome :
97
Fascicule/Saison :
6
Pagination :
395-422
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
Organisme subsidiant :
CER - Conseil Européen de la Recherche CE - Commission Européenne
