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The Taylor Estimate of Recoverable Strains in Shape-Memory Polycrystals

Bhattacharya, K. and Kohn, R. V. and Shu, Y. C. (1998) The Taylor Estimate of Recoverable Strains in Shape-Memory Polycrystals. In: IUTAM Symposium on Transformation Problems in Composite and Active Materials. Solid Mechanics and its Applications. No.60. Springer , Dordrecht, pp. 123-134. ISBN 978-0-7923-5122-1. https://resolver.caltech.edu/CaltechAUTHORS:20160126-121928408

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Abstract

Shape-memory behavior ls the ability of ccrwin materials to recover, on heating, apparently plastic deformation sustained below a critical temperature. Some materials have good shape-memory behavior as single crystals but little or none as polycrystals, while others have good shape-memory behavior even as polycrystals. Bhattacharya and Kohn (1996. 1997) have proposed a framework to understand this difference. They use energy minimization and the Taylor estimate to argue that the recoverable strains in a polycrystal depend not only on the texture of the polycrystal and the transformation, but critically on the change in symmetry during the underlying martensitic phase transformation. Their results agree with the experimental observations. Shu and Bhattacharya (1997) have also used the Taylor estimate to study the effect of texture in polycrys- tals of Nickel-Titanium and Copper based shape-memory alloys. The use of the Taylor estimate was evaluated in some detail in Bhattacharya and Kohn ( 1997) and more recently in Shu and Bhattacharya (1997) and Shu (1997). In this short report, we summarize the model of recoverable strain and discuss some results that allow us to evaluate the Taylor estimate.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1007/0-306-46935-9_9DOIArticle
https://rdcu.be/b3ZFSPublisherFree ReadCube access
ORCID:
AuthorORCID
Bhattacharya, K.0000-0003-2908-5469
Additional Information:© 1998 Kluwer Academic Publishers. We gratefully acknowledge the partial financial support of the AFOSR, ARO and NSF.
Funders:
Funding AgencyGrant Number
Air Force Office of Scientific Research (AFOSR)UNSPECIFIED
Army Research Office (ARO)UNSPECIFIED
NSFUNSPECIFIED
Series Name:Solid Mechanics and its Applications
Issue or Number:60
Record Number:CaltechAUTHORS:20160126-121928408
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20160126-121928408
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:63977
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:26 Jan 2016 21:08
Last Modified:06 May 2020 22:53

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