Peculiarities of recrystallization activated by a diffusion flow of an impurity from a thin-film coating

Савотченко, С. Е.

doi:10.1140/epjb/s10051-021-00203-x

Cited by 3 publications

(4 citation statements)

References 28 publications

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“…The results obtained supplement the theoretical concepts of the regularities of recrystallization at various boundary modes of diffusion activation [10][11][12][32][33][34][35].…”

Section: Discussionsupporting

confidence: 65%

“…Therefore, the single-phase model of recrystallization can be applied. We consider the system geometry as was described in [33]. The x axis perpendicular to the flat surface of a semi-infinite polycrystalline sample, and a thin-film coating is placed in the yz plane.…”

Section: Problem Formulationmentioning

confidence: 99%

“…Thus, the two-phase model of recrystallization is an initial-boundary value problem ( 1), ( 24)- (28). The detail analysis we hold in [33] in the case of the problem of the second type.…”

Section: Problem Formulationmentioning

confidence: 99%

“…Here we focus on analysis on the third type problem in both cases. Note that the second type condition at fixed boundary corresponding to the sample surface was applied recently to theoretical description of recrystallization kinetics [33]. Recently we also propose the new diffusion models [34,35].…”

Section: Introductionmentioning

confidence: 98%

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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.

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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

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“…The results obtained supplement the theoretical concepts of the regularities of recrystallization at various boundary modes of diffusion activation [10][11][12][32][33][34][35].…”

Section: Discussionsupporting

confidence: 65%

Section: Problem Formulationmentioning

confidence: 99%

“…Thus, the two-phase model of recrystallization is an initial-boundary value problem ( 1), ( 24)- (28). The detail analysis we hold in [33] in the case of the problem of the second type.…”

Section: Problem Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 98%

See 2 more Smart Citations