Purohit, Prashant K. and Bhattacharya, Kaushik (2003) Dynamics of strings made of phase-transforming materials. Journal of the Mechanics and Physics of Solids, 51 (3). pp. 393-424. ISSN 0022-5096. doi:10.1016/S0022-5096(02)00097-2. https://resolver.caltech.edu/CaltechAUTHORS:20131007-143329723
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Abstract
This paper presents a theory to describe the dynamical behavior of a string made of a phase-transforming material like a shape-memory alloy. The study of phase boundaries, the driving force acting on them and the kinetic relation governing their propagation is of central concern. The paper proposes a qualitative experimental test of the notion of a kinetic relation, as well as a simple experimental method for measuring it quantitatively. It presents a numerical method for studying general initial and boundary value problems in strings, and concludes by exploring the use of phase transforming strings to generate motion at very small scales.
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| Additional Information: | © 2003 Elsevier Science Ltd. Received 6 November 2001; accepted 30 August 2002. It is our pleasure to acknowledge many interesting and useful discussions with Prof. James K. Knowles, as well as the thoughtful comments and references provided by Lev Truskinovsky. We gratefully acknowledge the Cnancial support of the US Air Force OSce of ScientiCc Research through a MURI grant (F49620-98-1-0433). | |||||||||
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| Subject Keywords: | phase transformation; kinetic relation; dynamics; rods and cables; stress waves | |||||||||
| Issue or Number: | 3 | |||||||||
| DOI: | 10.1016/S0022-5096(02)00097-2 | |||||||||
| Record Number: | CaltechAUTHORS:20131007-143329723 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20131007-143329723 | |||||||||
| Official Citation: | Prashant K. Purohit, Kaushik Bhattacharya, Dynamics of strings made of phase-transforming materials, Journal of the Mechanics and Physics of Solids, Volume 51, Issue 3, March 2003, Pages 393-424, ISSN 0022-5096, http://dx.doi.org/10.1016/S0022-5096(02)00097-2. (http://www.sciencedirect.com/science/article/pii/S0022509602000972) | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 41721 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Tony Diaz | |||||||||
| Deposited On: | 07 Oct 2013 21:44 | |||||||||
| Last Modified: | 10 Nov 2021 04:33 |
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