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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
87/2008

Energy barriers and hysteresis in martensitic phase transformations

Zhiyong Zhang, Richard D. James and Stefan Müller

Abstract

We report results from a systematic program of alloy development in the system TiNiX, X$ = $ Cu, Pt, Pd, Au, to pursue certain special lattice parameters that have been identified previously with low hysteresis. We achieve $\lambda_2 = 1$, where $\lambda_2$ is the middle eigenvalue of the transformation strain matrix, for alloys with X = Pt, Pd, Au. In all cases there is a sharp drop of the graph of hysteresis vs. composition at the composition where $\lambda_2 = 1$. When the size of the hysteresis is replotted vs. $\lambda_2$ we obtain a universal graph for these alloys.

Motivated by these experimental results, we present a new theory for the size of the hysteresis based on the growth from a small scale of fully developed austenite martensite needles. The energy of the transition layer plays a critical role in this theory. Overall, the results point to a simple systematic method of achieving low hysteresis and a high degree of reversibility in transforming materials.

Received:
Dec 4, 2008
Published:
Dec 4, 2008
Keywords:
Martensitic phase transformation, hysteresis, nucleation and growth, nickel-titanium alloys, continuum mechanics

Related publications

inJournal
2009 Repository Open Access
Zhiyong Zhang, Richard D. James and Stefan Müller

Energy barriers and hysteresis in martensitic phase transformations

In: Acta materialia, 57 (2009) 15, pp. 4332-4352