Description of grain-boundary diffusion in nanostructured materials for thin-film diffusion source

Kesarev, A. G.; Кондратьев, В. В.; Lomaev, I. L.

doi:10.1134/s0031918x15030072

Cited by 9 publications

(3 citation statements)

References 13 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…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%

“…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

“…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: 99%

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

show abstract

“…In this case we should complete the original system of Eqs. ( 24)-( 25) with the following boundary and initial conditions [31] ( )…”

mentioning

confidence: 99%

Grain Boundary Diffusion in Nanocrystalline Materials Produced by Severe Plastic Deformation

Kondratyev

Kesarev

Lomaev

2015

View full text Add to dashboard Cite

The model of diffusional mass transfer in the medium with a strong spatial dependence of diffusivity and its application to the grain boundary (GB) diffusion problem is presented. A significant decrease of diffusion activation energy is shown to take place takes place in the vicinity of non-equilibrium grain boundary, which leads to the formation of a region of enhanced diffusion. The generalization of grain boundary diffusion theory is given which accounts for the diffusion enhancement near GB. An original mathematical approach is developed and general asymptotic solutions of the one-and two-dimensional diffusion problems are derived for two types of diffusant source — constant and instant. The applicability domain of presented model is discussed.

show abstract

Steady-state diffusion with the smooth step dependence of the diffusion coefficient on concentration

Савотченко

Cherniakov

2023

Pramana - J Phys

View full text Add to dashboard Cite

Description of grain-boundary diffusion in nanostructured materials for thin-film diffusion source

Cited by 9 publications

References 13 publications

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

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

Grain Boundary Diffusion in Nanocrystalline Materials Produced by Severe Plastic Deformation

Steady-state diffusion with the smooth step dependence of the diffusion coefficient on concentration

Contact Info

Product

Resources

About