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International Journal for Multiscale Computational Engineering
Facteur d'impact: 1.016 Facteur d'impact sur 5 ans: 1.194 SJR: 0.554 SNIP: 0.68 CiteScore™: 1.18

ISSN Imprimer: 1543-1649
ISSN En ligne: 1940-4352

International Journal for Multiscale Computational Engineering

DOI: 10.1615/IntJMultCompEng.v2.i4.20
18 pages

A Comparison Between an Embedded FE2 Approach and a TFA-Like Model

Nicolas Carrere
ONERA, DMSE-LCME, 29, Avenue de la Division Leclerc, BP72, F-92322 Chatillon, France
Frederic Feyel
Onera − The French Aerospace Lab, F-92322 Chatillon, France
Pascale Kanoute
ONERA, DMSE-LCME, 29, Avenue de la Division Leclerc, BP72, F-92322 Chatillon, France

RÉSUMÉ

Two multiscale models are considered in this paper: one is based on an imbricated FE2 approach, while the second rests on a transformation field analysis (TFA) framework. Both models are presented and compared. They are similar regarding the computation cost for nonlinear problems. This conclusion is not obvious since a finite element computation of the representative volume element is usually considered to be more resource consuming than a simple phenomenological model. In fact, a nonlinear TFA model is not a simple model: it involves costly operations and may be even more expensive than a direct finite element computation. Special attention is paid to the microscale spatial discretization. A new method called "subvolumes reduction" is presented to reduce the number of subvolumes used in the TFA model, while preserving a good and controlled accuracy of the results. Various discretizations of the same problem are presented to discuss this method.