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Austenite-Martensite Interface in Shape Memory Alloys

jiangyuli's picture

This is a preprint that is going to appear on Applied Physics Letters. It is somewhat related to a paper by Kaushik Dayal on complex crystalline structure via phase field simulation that was posted here. 

 

Austenite-Martensite Interface in Shape Memory Alloys

C. H. Lei, L. J. Li, Y. C. Shu, and J. Y. Li

Abstract

A two-scale phase-field simulation is developed for austenite-martensite interface to understand the effects of crystalline symmetry and geometric compatibilities on the reversibility of structural phase transformations in shape memory alloys. It is observed that when the middle eigenvalue of martensite transformation strain is equal to 0, an exact austenite-martensite interface is formed with negligible elastic energy. On the other hand, when the middle eigenvalue is different from 0, an inexact interface between austenite and martensitic twin is formed, and the corresponding elastic energy increases with the increased magnitude of the middle eigenvalue, resulting in substantially higher energy barrier for austenite-martensite transformation, and thus higher thermal hysteresis in shape memory alloys.

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Comments

Very interesting work.  I am wondering what values you have used for the paramters A, K1, K2, alpha, and gamma? - Chad

jiangyuli's picture

Chad, I am travelling, and will get these papameters from Chihou and send it to you. For Fig. 4, alpha and gamma are not fixed, allowing us to adjust middle eigenvalue and the volume fraction of martensite variants.

OK, so of the alpha, beta, and gamma, two can be chosen to fit the middle eigenvalue and the volume fraction of martensite, but there must be some dimensionless ratio for the third related to the elastic constants and K.  Correct?  When you get a chance, can you post the parameters?  Thanks - Chad

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