Energy barriers and hysteresis in martensitic phase transformations

Zhiyong Zhang; Richard D James; Stefan Müller

doi:10.1016/j.actamat.2009.05.034

Energy barriers and hysteresis in martensitic phase transformations

Zhiyong Zhang, Richard D James, Stefan Müller

Aerospace Engineering and Mechanics

Research output: Contribution to journal › Article › peer-review

247 Scopus citations

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 λ₂ = 1, where λ₂ is the middle eigenvalue of the transformation stretch matrix, for alloys with X = Pt, Pd, Au. In all cases there is a sharp drop in the graph of hysteresis vs. composition at the composition where λ₂ = 1. When the size of the hysteresis is replotted vs. λ₂ 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.

Original language	English (US)
Pages (from-to)	4332-4352
Number of pages	21
Journal	Acta Materialia
Volume	57
Issue number	15
DOIs	https://doi.org/10.1016/j.actamat.2009.05.034
State	Published - Sep 2009

Bibliographical note

Funding Information:
We wish to acknowledge valuable discussions with John Ball, Rémi Delville, Eckhard Quandt, Nick Schryvers, Doron Shilo, Thomas Waitz, Barbara Zwicknagl, the comments of an anonymous reviewer and the assistance of Sakthivel Kasinathan. This work was supported by the ARO-MURI W911NF-07-1-0410, the MULTIMAT RTN network MRTN-CT-2004-505226, AFOSR (GameChanger, GRT00008581/ RF60012388) and DOE DE-FG02-05ER25706. The work also benefited from the support of NSF-NIRT DMS-0304326, ONR-MURI N000140610530, NIH Z196601 and the Humboldt Foundation.

Keywords

Continuum mechanics
Hysteresis
Martensitic phase transformation
Nickel-titanium alloys
Nucleation and growth

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10.1016/j.actamat.2009.05.034

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title = "Energy barriers and hysteresis in martensitic phase transformations",

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 λ2 = 1, where λ2 is the middle eigenvalue of the transformation stretch matrix, for alloys with X = Pt, Pd, Au. In all cases there is a sharp drop in the graph of hysteresis vs. composition at the composition where λ2 = 1. When the size of the hysteresis is replotted vs. λ2 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.",

keywords = "Continuum mechanics, Hysteresis, Martensitic phase transformation, Nickel-titanium alloys, Nucleation and growth",

author = "Zhiyong Zhang and James, {Richard D} and Stefan M{\"u}ller",

note = "Funding Information: We wish to acknowledge valuable discussions with John Ball, R{\'e}mi Delville, Eckhard Quandt, Nick Schryvers, Doron Shilo, Thomas Waitz, Barbara Zwicknagl, the comments of an anonymous reviewer and the assistance of Sakthivel Kasinathan. This work was supported by the ARO-MURI W911NF-07-1-0410, the MULTIMAT RTN network MRTN-CT-2004-505226, AFOSR (GameChanger, GRT00008581/ RF60012388) and DOE DE-FG02-05ER25706. The work also benefited from the support of NSF-NIRT DMS-0304326, ONR-MURI N000140610530, NIH Z196601 and the Humboldt Foundation.",

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AU - Zhang, Zhiyong

AU - James, Richard D

AU - Müller, Stefan

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PY - 2009/9

Y1 - 2009/9

N2 - 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 λ2 = 1, where λ2 is the middle eigenvalue of the transformation stretch matrix, for alloys with X = Pt, Pd, Au. In all cases there is a sharp drop in the graph of hysteresis vs. composition at the composition where λ2 = 1. When the size of the hysteresis is replotted vs. λ2 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.

AB - 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 λ2 = 1, where λ2 is the middle eigenvalue of the transformation stretch matrix, for alloys with X = Pt, Pd, Au. In all cases there is a sharp drop in the graph of hysteresis vs. composition at the composition where λ2 = 1. When the size of the hysteresis is replotted vs. λ2 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.

KW - Continuum mechanics

KW - Hysteresis

KW - Martensitic phase transformation

KW - Nickel-titanium alloys

KW - Nucleation and growth

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Energy barriers and hysteresis in martensitic phase transformations

Abstract

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