Compendium About Multicomponent Interdiffusion in Two Dimensions

• Published in: Metallurgical and materials transactions. A, Physical metallurgy and materials science Vol. 52; no. 8; pp. 3221 - 3231
• Main Authors: Bożek, Bogusław, Sapa, Lucjan, Tkacz-Śmiech, Katarzyna, Zajusz, Marek, Danielewski, Marek
• Format: Journal Article
• Language: English
• Published: New York Springer US 01.08.2021; Springer Nature B.V
• Subjects: Applied mathematics; Characterization and Evaluation of Materials; Chemistry and Materials Science; Differential equations; Diffusion; Dissimilar materials; Drift; Experiments; Geometry; Interdiffusion; Materials Science; Mathematical models; Metallic Materials; Nanotechnology; Original Research Article; Partial differential equations; Structural Materials; Surfaces and Interfaces; Thin Films; Two dimensional models; Velocity
• ISSN: 1073-5623; 1543-1940
• DOI: 10.1007/s11661-021-06267-9

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.