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Published November 1997 | public
Journal Article

Relaxation in shape-memory alloys—Part II. Thermo-mechanical model and proposed experiments


A variety of relaxation phenomena such as stabilization of martensite, rubber-like behavior, evolving hysteresis loops and stabilization of interfaces have been observed in various shape-memory alloys. These effects adversely impact technological applications. In Part I of this paper we proposed a phenomenological, but predictive, model of the mechanical behavior of these materials. We showed that this model reproduces the experimental observations. In this part, we extend this model to include the effects of temperature and the austenite-martensite transformation. Once again, the predictions from this extended model agree with experimental observations. We can therefore conclude that the basic phenomenological ideas combined with a few easily measured material parameters is sufficient to predict the behavior of these materials. Finally, we propose new experiments in order to probe longstanding issues concerning the mechanism responsible for the relaxation.

Additional Information

© 1997 Acta Metallurgica Inc. Received 12 November 1996; accepted 27 March 1997. We gratefully acknowledge many useful and colorful discussions with David Lieberman. Part of this work was conducted when K.B. and P.J.S. held post -doctoral positions at the Courant Institute. This work was partially supported through grants from the AFOSR (KB, PJS:90-0090 at Courant, KB:F49620-95-l-0109 at Caltech, RDJ:91-0301), ARO(KB:DAAL03-92-G-0011 at Courant, PJS:DAAH04-95-1-0100 at Courant), DOE(PJS:W-7405-ENG-36 and KC-07-01-01), NSF( RDJ:DMS-9505077, PJS:DMS-9402763 at Courant), and ONR (KB:N00014-93-1-0240 at Caltech, RDJ:N/N00014-95-1-1145 and 91-J-4304).

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