Abstract
A Shape Memory Alloy (SMA) is a mixture of martensite and austenite or only martensite or austenite. Austenite-martensite phase transformation leads to variations of composition. This transformation can appear by mechanical or thermal action. The characteristic pseudo-elastic behaviour appears from this modification in the material over certains conditions for which observe an hysteresis loop on the stress-strain relationship. This hysteresis can be influenced by several factors : thermal effect, dissipation, structural effect, existence of geometrical defect, etc..
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Pipkin, A.C. (1990) Elastic material with two preferred states, Q. J. Mech: appl. Math. Vol. no 3, pp. 1–15
Pagano, S., Alart, P., Lebon, F. and Maisonneuve, O. (to appear) Evolution of phases in a shape memory alloys by local and global minimisations of a non convex potential
Fremond, M. (1987) Matériaux à mémoire de forme, R. Acad. Sci. Paris Vol. no 304, pp. 239–244
Le Tallec, P. and Vidrascu, M. (1989) Une méthode numérique pour les problèmes d’équilibre de corps hyperélastiques incompressibles en grandes déformations, Nu-mer. Math. Vol. no 43, pp. 199–224
Dacorogna, F. (1989) Direct methods in the Calculus of Variations, Berlin: Springerverlag
Auchmuty, G. (1989) Duality algorithms for nonconvex variational principles, Num. Func. An. & Opt. Vol. no 10, pp. 211–264
Chrysochoos, A., Pham, H., and Maisonneuve, O. (1995) Couplages thermomécanique du comportement d’alliages Cu-Zn-Al et Ni-Ti, C. R. Acad. Sci. Paris Vol. no 320, pp. 217–223
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1999 Springer Science+Business Media Dordrecht
About this paper
Cite this paper
Maisonneuve, O., Pagano, S., Alart, P., Lebon, F. (1999). Evolution of Phases in a Shape Memory Alloy by Local and Global Minimisations of a Non Convex Potentials. In: Argoul, P., Frémond, M., Nguyen, Q.S. (eds) IUTAM Symposium on Variations of Domain and Free-Boundary Problems in Solid Mechanics. Solid Mechanics and Its Applications, vol 66. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4738-5_2
Download citation
DOI: https://doi.org/10.1007/978-94-011-4738-5_2
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-5992-3
Online ISBN: 978-94-011-4738-5
eBook Packages: Springer Book Archive