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Length scales and pinning of interfaces

Tan, Likun and Bhattacharya, Kaushik (2016) Length scales and pinning of interfaces. Philosophical Transactions A: Mathematical, Physical and Engineering Sciences, 374 (2066). Art. No. 20150167. ISSN 1364-503X. https://resolver.caltech.edu/CaltechAUTHORS:20160328-104058900

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Abstract

The pinning of interfaces and free discontinuities by defects and heterogeneities plays an important role in a variety of phenomena, including grain growth, martensitic phase transitions, ferroelectricity, dislocations and fracture. We explore the role of length scale on the pinning of interfaces and show that the width of the interface relative to the length scale of the heterogeneity can have a profound effect on the pinning behaviour, and ultimately on hysteresis. When the heterogeneity is large, the pinning is strong and can lead to stick–slip behaviour as predicted by various models in the literature. However, when the heterogeneity is small, we find that the interface may not be pinned in a significant manner. This shows that a potential route to making materials with low hysteresis is to introduce heterogeneities at a length scale that is small compared with the width of the phase boundary. Finally, the intermediate setting where the length scale of the heterogeneity is comparable to that of the interface width is characterized by complex interactions, thereby giving rise to a non-monotone relationship between the relative heterogeneity size and the critical depinning stress.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1098/rsta.2015.0167DOIArticle
http://rsta.royalsocietypublishing.org/content/374/2066/20150167PublisherArticle
ORCID:
AuthorORCID
Bhattacharya, Kaushik0000-0003-2908-5469
Additional Information:© 2016 The Author(s) Published by the Royal Society. Accepted: 13 November 2015. This work is financially supported by the US Army Research Office through the MURI grantW911NF-07-1-0410 and the US Air Force Office of Scientific Research through the Center of Excellence in High Rate Deformation Physics of Heterogeneous Materials (grant no.: FA 9550-12-1-0091) . We gratefully acknowledge interesting discussions with Manfred Wuttig that motivated this work. Competing interests. We declare we have no competing interests.
Funders:
Funding AgencyGrant Number
Army Research Office (ARO)W911NF-07-1-0410
Air Force Office of Scientific Research (AFOSR)FA 9550-12-1-0091
Issue or Number:2066
Record Number:CaltechAUTHORS:20160328-104058900
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20160328-104058900
Official Citation:Tan L, Bhattacharya K. 2016 Length scales and pinning of interfaces. Phil. Trans. R. Soc. A 374: 20150167. http://dx.doi.org/10.1098/rsta.2015.0167
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:65701
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:30 Mar 2016 19:38
Last Modified:03 Oct 2019 09:49

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