Open Access
Article Number 03011
Number of page(s) 6
Section Principles, Simulations, Materials: Mathematical Modelling
Published online 01 September 2009
ESOMAT 2009, 03011 (2009)
DOI: 10.1051/esomat/200903011

Energy bounds for polycrystalline shape memory alloys

Michaël Peigney

Laboratoire Central des Ponts et Chaussées, 58 Boulevard Lefebvre, 75732 Paris cedex 15, France

Published online: 1 September 2009

In polycrystalline shape memory alloys at equilibrium under a prescribed loading, one typically observes the formation of austenite/martensite microstructures in each grain. The prediction of the resulting effective energy is a difficult question that still remains largely open. A related problem is the prediction of the set of recoverable (or zero-energy) strains of polycrystals. This article presents some recents results that have been achieved in that field, contrasting the geometrically linear theory (’infinitesimal strains’) with the geometrically nonlinear theory (’finite strains’).

© Owned by the authors, published by EDP Sciences 2009