Horns on diffusion paths in multiphase diffusion couples

doi:10.1016/j.actamat.2006.07.019

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Horns on diffusion paths in multiphase diffusion couples

2006-12-01

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DOI：10.1016/j.actamat.2006.07.019

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Abstract

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The formation of horns on diffusion paths in two-phase diffusion couples having a common matrix phase is analyzed by considering the one-dimensional form of the diffusion equation. It is shown that horns occur when flux versus distance profiles have a finite slope at the initial diffusion couple interface. In particular, the equations predict that only single horns will form, even though double horns have been reported in the literature. A model ternary system is used as an example. The model system illustrates that when the effective diffusivity is constant, the diffusion path follows a linear zigzag course and has no horns. Also, the flux profiles are symmetric with a peak at the initial interface. However, when the effective diffusivity is modeled to vary with composition, the peak shifts away from the initial interface and the flux profile has a finite slope at the origin. The result is a diffusion path with a single horn, in agreement with theory. (c) 2006 Acta Materialia, Inc. Published by Elsevier Ltd. All rights reserved.

Keywords:

diffusion path

horn

multiphase

type 0 boundary

modeling