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Chemically induced grain boundary dynamics, forced motion by curvature, and the appearance of double seams

Published online by Cambridge University Press:  16 April 2002

PAUL C. FIFE  and
XIAO-PING WANG
PAUL C. FIFE
Affiliation:
Mathematics Department, 155 South 1400 East, University of Utah, Salt Lake City, UT 84112-0090, USA
XIAO-PING WANG
Affiliation:
Mathematics Department, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong
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Abstract

The free boundary model of diffusion-induced grain boundary motion derived in Cahn et al. [3], Fife et al. [6] and Cahn & Penrose [4] is extended, in the case of thin metallic films, to account for bidirectional motion, together with the appearance of S-shapes and double seam configurations. These are often observed in the laboratory. Computer simulations based on the extended model are given to illustrate these and other features of bidirectional motion. More generally, the extension accounts for the motion of grain boundaries whose traces on the film's surface are curved. The new free boundary model is one of forced motion by curvature, the forcing term possibly changing sign due to the bidirectionality. The thin film model is derived systematically under explicit assumptions, and an adjustment for grooving is included.

Type
Research Article
Information
European Journal of Applied Mathematics , Volume 13 , Issue 1 , February 2002 , pp. 25 - 52
Copyright
2002 Cambridge University Press

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