Bruno, O. and Vaynblat, D. (2001) Two-wave structures in shock-induced martensitic phase transitions. Mathematical and Computer Modelling, 34 (12-13). pp. 1261-1271. ISSN 0895-7177. https://resolver.caltech.edu/CaltechAUTHORS:20181105-130419396
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Abstract
We consider a class of shock-loading experiments which, as a result of solid-to-solid phase transitions, give rise to certain characteristic patterns consisting of two shock-like waves. We show that the single assumption that stresses in a phase cannot lie beyond the transition boundaries leads to a complete mathematical description of the physical problem at hand. In detail, our model only requires knowledge of well-studied material observables: the equations of state (EOS) for the pure phases and the phase transition boundaries. The model presented here is different from others proposed in the literature: it does not make use of kinetic relations, and it accounts for the observed wave histories without parameter fitting. In presence of well-accepted EOS for the pure phases, our model leads to close quantitative agreement with a wide range of experimental results.
Item Type: | Article | ||||||
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Additional Information: | © 2001 Published by Elsevier Ltd. | ||||||
Subject Keywords: | Phase transition; Shock; Transformation front; Riemann problem | ||||||
Issue or Number: | 12-13 | ||||||
Record Number: | CaltechAUTHORS:20181105-130419396 | ||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20181105-130419396 | ||||||
Official Citation: | O. Bruno, D. Vaynblat, Two-wave structures in shock-induced martensitic phase transitions, Mathematical and Computer Modelling, Volume 34, Issues 12–13, 2001, Pages 1261-1271, ISSN 0895-7177, https://doi.org/10.1016/S0895-7177(01)00131-5 | ||||||
Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
ID Code: | 90646 | ||||||
Collection: | CaltechAUTHORS | ||||||
Deposited By: | Tony Diaz | ||||||
Deposited On: | 06 Nov 2018 18:39 | ||||||
Last Modified: | 03 Oct 2019 20:27 |
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