Knowles, James K. (1991) Continuum Modeling of Phase Transitions in Solids. In: Anisotropy and localization of plastic deformation. Elsevier , London, pp. 500-503. ISBN 978-1-85166-688-1. https://resolver.caltech.edu/CaltechAUTHORS:20141024-135721760
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Abstract
In this paper, we describe a simple phenomenological thermoelastic model for stress-induced solid-solid phase transitions in a tensile bar. In this model, the bar is treated as a one-dimensional continuum, and the phase transition is assumed to take place quasi-statically and isothermally at a temperature θ. By accounting for temperature effects solely in the kinetics of the phase transition, we show that some of the qualitative features of the experimental observations in [1] can be predicted, even though the effects of temperature on the nucleation of the transition and on the stress-strain relation have been neglected. A purely mechanical counterpart of the theory described here has been given in [2]; the latter work, as well as a mechanical theory of fast phase transitions in solids, is reviewed in [3].
Item Type: | Book Section | |||||||||
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Additional Information: | © 1991 Elsevier. | |||||||||
DOI: | 10.1007/978-94-011-3644-0_116 | |||||||||
Record Number: | CaltechAUTHORS:20141024-135721760 | |||||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20141024-135721760 | |||||||||
Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
ID Code: | 50803 | |||||||||
Collection: | CaltechAUTHORS | |||||||||
Deposited By: | Tony Diaz | |||||||||
Deposited On: | 24 Oct 2014 22:45 | |||||||||
Last Modified: | 10 Nov 2021 19:01 |
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