Abo Bibliothek: Guest
Digitales Portal Digitale Bibliothek eBooks Zeitschriften Referenzen und Berichte Forschungssammlungen
International Journal for Multiscale Computational Engineering
Impact-faktor: 1.016 5-jähriger Impact-Faktor: 1.194 SJR: 0.554 SNIP: 0.68 CiteScore™: 1.18

ISSN Druckformat: 1543-1649
ISSN Online: 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

ABSTRAKT

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.


Articles with similar content:

HIGHER ORDER MULTIPOINT MESHLESS FINITE DIFFERENCE METHOD FOR TWO-SCALE ANALYSIS OF HETEROGENEOUS MATERIALS
International Journal for Multiscale Computational Engineering, Vol.17, 2019, issue 3
Irena Jaworska
GENERALIZED MULTISCALE FINITE ELEMENT METHODS: OVERSAMPLING STRATEGIES
International Journal for Multiscale Computational Engineering, Vol.12, 2014, issue 6
Michael Presho, Yalchin Efendiev, Guanglian Li, Juan Galvis
Multiscale Computational Strategy With Time and Space Homogenization: A Radial-Type Approximation Technique for Solving Microproblems
International Journal for Multiscale Computational Engineering, Vol.2, 2004, issue 4
Anthony Nouy, Pierre Ladeveze
POLYNOMIAL CHAOS FOR LINEAR DIFFERENTIAL ALGEBRAIC EQUATIONS WITH RANDOM PARAMETERS
International Journal for Uncertainty Quantification, Vol.1, 2011, issue 3
Roland Pulch
Rational Calculus in Modeling Physical Objects
Telecommunications and Radio Engineering, Vol.56, 2001, issue 8&9
А. А. Kuraev, Tat'yana Leonidovna Popkova