%0 Journal Article
%A Carrere, Nicolas
%A Feyel, Frederic
%A Kanoute, Pascale
%D 2004
%I Begell House
%N 4
%P 18
%R 10.1615/IntJMultCompEng.v2.i4.20
%T A Comparison Between an Embedded FE^{2} Approach and a TFA-Like Model
%U http://dl.begellhouse.com/journals/61fd1b191cf7e96f,3eec4b24232ba10b,0068a7b1298ad330.html
%V 2
%X Two multiscale models are considered in this paper: one is based on an imbricated FE^{2} 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.
%8 2004-12-01