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Stress- and diffusion-induced interface motion: Modelling and numerical simulations

Published online by Cambridge University Press:  01 December 2007

HARALD GARCKE ,
ROBERT NÜRNBERG  and
VANESSA STYLES
HARALD GARCKE
Affiliation:
Naturwissenschaftliche Fakultät I - Mathematik, Universität Regensburg, 93040 Regensburg, Germany
ROBERT NÜRNBERG
Affiliation:
Department of Mathematics, Imperial College London, London, SW7 2AZ, UK
VANESSA STYLES
Affiliation:
Department of Mathematics, University of Sussex, Brighton, BN1 9RF, UK
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Abstract

We propose a phase field model for stress and diffusion-induced interface motion. This model, in particular, can be used to describe diffusion-induced grain boundary motion and generalizes a model of Cahn, Fife and Penrose as it more accurately incorporates stress effects. In this paper we will demonstrate that the model can also be used to describe other stress-driven interface motion. As an example, interface motion resulting from interactions of interfaces with dislocations is studied.

Type
Papers
Information
European Journal of Applied Mathematics , Volume 18 , Issue 6 , December 2007 , pp. 631 - 657
Copyright
Copyright © Cambridge University Press 2007

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