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Two-wave structures in shock-induced martensitic phase transitions

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
Related URLs:
URLURL TypeDescription
https://doi.org/10.1016/S0895-7177(01)00131-5DOIArticle
ORCID:
AuthorORCID
Bruno, O.0000-0001-8369-3014
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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