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Published December 1998 | public
Journal Article

Kinetics of phase boundaries with edges and junctions


In this paper we study the propagation of a phase boundary which meets the boundary of the body at an edge or meets other phase boundaries at a junction. We show that it is necessary to provide kinetic relations for the edges and junctions in addition to the kinetic relation of the phase boundary. We derive thermodynamically consistent forms for these additional kinetic relations and show that they have a profound effect on the evolution of the phase boundary.

Additional Information

© 1998 Elsevier Science Ltd. Received 11 September 1997; in revised form 6 January 1998. This work was conducted while N.K.S. held a post-doctoral position at Caltech. We are grateful to J. K. Knowles and M. E. Gurtin for their helpful suggestions and encouragement and to M. E. Gurtin for pointing out some errors in an earlier version. We thank I-wei Chen for providing us with Fig. 2. This work was supported in part by grants from NSF (CMS 9457573) and AFOSR (F49620-95-1-0109).

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