On Variational Micro-Macro Models and their Application to Polycrystals

Abstract

Some variational micro-macro models are briefly reviewed: it is shown how, starting from the Taylor model and passing through the relaxed Taylor model, a consistent intermediate between Taylor's upper bound and the lower bound (Sachs or rather "static") model was obtained. This intermediate or "inhomogeneous" variational model (indeed, it generally predicts both strain and stress to be inhomogeneous) could offer a general alternative to self-consistent models. However, the implemented version was a rather empirical model (ARMINJON [1984]) with a less well-defined status. We present current progress in the implementation of the correct version.