|Number of page(s)||6|
|Section||Principles, Simulations, Materials: Mathematical Modelling|
|Published online||01 September 2009|
Energy bounds for polycrystalline shape memory alloysMichaël 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