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Continuum Modeling of Phase Transitions in Solids

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.

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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].

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Additional Information:© 1991 Elsevier.
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ID Code:50803
Deposited By: Tony Diaz
Deposited On:24 Oct 2014 22:45
Last Modified:10 Nov 2021 19:01

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