Geodesic
Modeling the oxidation process of TiAl and Ti$_{3}$Al intermetallic compounds due to grain-boundary diffusion of oxygen
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 165 (2023) no. 3, pp. 307-321

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A diffusion-kinetic model was proposed to analyze the oxidation process in a nanostructured material with explicit identification of grain boundaries. It was assumed that oxygen migrates faster along the boundaries than it does in the grain volume. The model takes into account the stages of decomposition and formation of intermetallic compounds, as well as the formation of oxides, both within the boundaries and in the grain volume. The problem was solved numerically, and the oxidation dynamics were compared for various materials with different grain properties.
Keywords: grain boundary diffusion, oxidation, mathematical modeling, intermetallic compounds. 
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     author = {M. V. Chepak-Gizbrekht and A. G. Knyazeva},
     title = {Modeling the oxidation process of {TiAl} and {Ti}$_{3}${Al} intermetallic compounds due to grain-boundary diffusion of oxygen},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
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     publisher = {mathdoc},
     volume = {165},
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     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2023_165_3_a9/}
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M. V. Chepak-Gizbrekht; A. G. Knyazeva. Modeling the oxidation process of TiAl and Ti$_{3}$Al intermetallic compounds due to grain-boundary diffusion of oxygen. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 165 (2023) no. 3, pp. 307-321. http://geodesic.mathdoc.fr/item/UZKU_2023_165_3_a9/