Table of Contents
Textures and Microstructures
Volume 26–27
http://dx.doi.org/10.1155/TSM.26-27.191

Variational Micro-Macro Model and Deformation Textures Predicted for Steels

Laboratoire “Sols, Solides, Structures” [Université J. Fourier / Inst. Nat. Polytechnique de Grenoble / C.N.R.S], B.P. 53 X, Grenoble cedex 38041, France

Received 20 November 1995

Copyright © 1996 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

This variational micro-macro model is presented in the context of the “pure” and “relaxed” Taylor models, from which it evolved, but also in relation to the Sachs-type models and, more generally, in the context of volume-fraction or “one-point” models. It will indeed be shown that any one-point model must set statistical assumptions and that, to this general frame, the present model adds only one essential assumption- namely a plausible principle of minimal inhomogeneity. The numerical implementation is summarized. Predictions for the strain distribution are discussed. Predicted deformation textures are compared with measurements on steel sheets.