Modeling of grain-boundary diffusion taking into account the grain shape

Chepak-Gizbrekht, M.V.

doi:10.1063/1.5131917

Cited by 4 publications

(2 citation statements)

References 5 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The solution (29) and equation (30) of general problem allows to write: i) the solution of the firs type problem, which satisfies the boundary condition of the first type (7) at the surface, as follows…”

Section: Exact Solutionsmentioning

confidence: 99%

“…Of interest is a theoretical description of the regularities of recrystallization at various boundary regimes [24,25,26] for controlling the fluxes of impurities from the coating to the sample [27,28,29]. In the present paper, we describe the peculiarities of recrystallization kinetics activated by diffusion taking into account the impurity exchange between the polycrystalline and the coating.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Models of recrystallization activated by a diffusion flow of impurities from a thin-film coating with a convection term at the crystal surface: exact solutions

Савотченко

Cherniakov

2023

Math. Model. Nat. Phenom.

View full text Add to dashboard Cite

Two models of recrystallization are proposed taking into account the convective flux of impurity exchange between the polycrystalline and the thin-film coating. The special boundary modes of recrystallization described by the single-phase and two-phase Stefan problems with the boundary condition at coated surface containing the convective term. The exact solutions of the formulated problems corresponding to the grain-boundary concentration of impurities are obtained. The detail theoretical analysis focused on the third type problem shows that the concentration of impurities and the width of the recrystallized layer increase with an increase in the annealing time. An increase in intensity of impurity exchange between the polycrystalline and the coating promotes an increase in the width of the recrystallized layer. The recrystallization front position increases with an increase in the surface concentration of impurities and it decreases with an increase in the intensity of the impurity flux from the surface. The rate of recrystallization kinetics increases with an increase in the intensity of impurity exchange between the polycrystalline and the coating

show abstract

Section: Exact Solutionsmentioning

confidence: 99%