ITEMS

modern scholarly publishers in the finest tradition

Journals

	Search

International Journal for Multiscale Computational Engineering

ISSN for PRINT: 1543-1649

Institutional price:	$747.00
Issues per year:	6

Best Paper Award Selection - Editorial Board Site

2004, Volume2

170 pages

DOI: 10.1615/IntJMultCompEng.v2.i4

Issue price - $178.00

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, DMSE-LCME, 29, Avenue de la Division Leclerc, BP72, F-92322 Chatillon, France

Pascale Kanoute
ONERA, DMSE-LCME, 29, Avenue de la Division Leclerc, BP72, F-92322 Chatillon, France

ABSTRACT

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.