Rosakis, Phoebus and Knowles, James K. (1997) Unstable kinetic relations and the dynamics of solid-solid phase transitions. Journal of the Mechanics and Physics of Solids, 45 (11-12). pp. 2055-2081. ISSN 0022-5096. doi:10.1016/S0022-5096(97)00026-4. https://resolver.caltech.edu/CaltechAUTHORS:20141022-084738427
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Abstract
In recent continuum-mechanical models of phase transitions in solids, the kinetic relation for a transition is usually assumed to be such that the driving force acting on a phase boundary is a monotonically increasing function of phase boundary velocity. The present paper explores the implications of relinquishing this assumption in the dynamics of one-dimensional elastic bars undergoing stress-induced transitions. Among other results, it is found that, for a class of non-monotonic kinetic relations, models of the kind discussed here permit stick-slip motions of a phase boundary, as observed in certain experiments.
| Item Type: | Article | |||||||||
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| Additional Information: | © 1997 Elsevier Science Ltd. Received 23 December 1996. This work was supported in part by the U.S. National Science Foundation (PR) and the U.S. Office of Naval Research (JKK). The authors are grateful for helpful discussions with Rohan Abeyaratne, Costas Papadimitriou and Lev Truskinovsky. | |||||||||
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| Subject Keywords: | acoustics; phase transformation; shock waves; stress waves; stability and bifurcation | |||||||||
| Issue or Number: | 11-12 | |||||||||
| DOI: | 10.1016/S0022-5096(97)00026-4 | |||||||||
| Record Number: | CaltechAUTHORS:20141022-084738427 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20141022-084738427 | |||||||||
| Official Citation: | Rosakis, P., & Knowles, J. K. (1997). Unstable kinetic relations and the dynamics of solid-solid phase transitions. Journal of the Mechanics and Physics of Solids, 45(11–12), 2055-2081. doi: http://dx.doi.org/10.1016/S0022-5096(97)00026-4 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 50667 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | INVALID USER | |||||||||
| Deposited On: | 22 Oct 2014 16:22 | |||||||||
| Last Modified: | 10 Nov 2021 18:59 |
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