Open Access
Issue |
ESOMAT 2009
2009
|
|
---|---|---|
Article Number | 03011 | |
Number of page(s) | 6 | |
Section | Principles, Simulations, Materials: Mathematical Modelling | |
DOI | https://doi.org/10.1051/esomat/200903011 | |
Published online | 01 September 2009 |
ESOMAT 2009, 03011 (2009)
DOI: 10.1051/esomat/200903011
Laboratoire Central des Ponts et Chaussées, 58 Boulevard Lefebvre, 75732 Paris cedex 15, France
michael.peigney@lcpc.fr
Published online: 1 September 2009
© Owned by the authors, published by EDP Sciences 2009
DOI: 10.1051/esomat/200903011
Energy bounds for polycrystalline shape memory alloys
Michaël PeigneyLaboratoire Central des Ponts et Chaussées, 58 Boulevard Lefebvre, 75732 Paris cedex 15, France
michael.peigney@lcpc.fr
Published online: 1 September 2009
Abstract
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