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Compendium About Multicomponent Interdiffusion in Two Dimensions
Metallurgical and Materials Transactions A ( IF 2.8 ) Pub Date : 2021-05-20 , DOI: 10.1007/s11661-021-06267-9
Bogusław Bożek , Lucjan Sapa , Katarzyna Tkacz-Śmiech , Marek Zajusz , Marek Danielewski

Interdiffusion between dissimilar solids can change the properties of joined materials. Although much work has been done to study experimentally and theoretically interdiffusion in one-dimensional (1-D) diffusion couples, studying interdiffusion in two-dimensional (2-D) or three-dimensional (3-D) solids remains a challenge. In this article, we report an experiment and develop a model to study interdiffusion in a multicomponent system of 2-D geometry. The results (concentration maps and profiles) are compared with data obtained by modeling and numerical simulations. It is assumed that the system satisfies Vegard’s rule and diffusion coefficients are composition dependent. To model the multidimensional diffusion with a drift, we take benefit of the concept of the drift potential. A nonlinear parabolic-elliptic system of strongly coupled differential equations is formulated and the implicit difference method, preserving Vegard’s rule, is applied in the simulations.



中文翻译:

二维多组分相互扩散概要

不同固体之间的相互扩散会改变连接材料的特性。尽管已经做了很多工作来研究一维 (1-D) 扩散偶中的实验和理论上的相互扩散,但研究二维 (2-D) 或三维 (3-D) 固体中的相互扩散仍然是一个挑战。在本文中,我们报告了一个实验并开发了一个模型来研究二维几何多组分系统中的相互扩散。结果(浓度图和分布图)与通过建模和数值模拟获得的数据进行比较。假设系统满足 Vegard 规则且扩散系数与成分有关。为了用漂移对多维扩散进行建模,我们利用了漂移势的概念。

更新日期:2021-07-01
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