Non-isothermal kinetics of a moving phase boundary |
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Authors: | Anna Vainchtein |
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Institution: | (1) Department of Mathematics, University of Pittsburgh, Pittsburgh, PA 15260, USA , US |
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Abstract: | In this paper we derive an explicit formula for a kinetic relation governing the motion of a phase boundary in a bilinear
thermoelastic material capable of undergoing solid-solid phase transitions. To obtain the relation, we study traveling wave
solutions of a regularized problem that includes viscosity, heat conduction and convective heat exchange with an ambient medium.
Both inertia and latent heat of transformation are taken into account. We investigate the effect of material parameters on
the kinetic relation and show that in a certain range of parameters the driving force becomes a non-monotone function of the
interface velocity. The model also predicts a nonzero resistance to phase boundary motion, part of which is caused by the
thermal trapping.
Received: November 15, 2001 / Published online September 4, 2002
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ID="*" e-mail: annav@math.pitt.edu
Communicated by Lev Truskinovsky, Minneapolis |
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Keywords: | : Non-isothermal phase transition driving force kinetic relation |
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