Mathematical Modeling of Solid-State Diffusion during Mechanical Alloying

Boris B. Khina; Boleslaw Formanek

doi:10.4028/www.scientific.net/DDF.249.105

Paper Titles

Kirkendall Effect: Dramatic History of Discovery and Developments
p.73

DIGM - Entropy Balance and Free Energy Release Rate
p.81

Kinetic Features of Reactive Diffusion in Binary Systems
p.91

Influence of Liquid-Glass Transition on Diffusion and Nucleation in Computer-Simulated Iron
p.97

Mathematical Modeling of Solid-State Diffusion during Mechanical Alloying
p.105

The Magneto-Plastic Effect at Beryllium Bronze after Aging in the Constant Magnetic Field
p.111

Determination of Copper Self-Diffusion Coefficients on the Base of High-Temperature Creep Data
p.115

Diffusion under Large Driving Forces
p.119

Effect of a Third Element on the Stability of NiSi Thin Films on Si
p.127

HomeDefect and Diffusion ForumDefect and Diffusion Forum Vol. 249Mathematical Modeling of Solid-State Diffusion...

Mathematical Modeling of Solid-State Diffusion during Mechanical Alloying

Abstract:

It is known experimentally that solid-state interdiffusion is substantially enhanced during plastic deformation. This is especially noticeable in Mechanical Alloying (MA) which is used for producing a wide range of metastable materials (supersaturated solid solutions, amorphous phases, nanostructures) with unique properties. However, a physical mechanism of enhanced diffusion during MA is not clearly understood yet, and a comprehensive model of this complex phenomenon has not been developed so far. Moreover, the role of the diffusion process in MA is hotly debated in literature. In this work a new, self-consistent mathematical model of solid-state interdiffusion in a binary substitutional system A-B during periodic plastic deformation is developed. The model includes basic physical factors that affect diffusion, such as generation of non-equilibrium point defects by gliding screw dislocations during deformation and their relaxation in periods between impacts. The cross-link terms are considered, and interaction of point defects with edge dislocations and incoherent phase boundary A/B is taken into account. Computer simulation is performed using realistic data (e.g., quasi-equilibrium self-diffusion coefficients known in literature) and the process parameters typical of MA in a vibratory mill. A repeated “deformation-rest” cycle is considered. The results of modeling reveal the physical mechanism of the enhancement of solid-state diffusion by periodic plastic deformation during MA and demonstrate that within the frame of this approach supersaturated solid solutions can form within a reasonably short processing time.

You might also be interested in these eBooks

Diffusion in Solids - Past, Present and Future

View Preview

Info:

Periodical:

Defect and Diffusion Forum (Volume 249)

Pages:

105-110

DOI:

https://doi.org/10.4028/www.scientific.net/DDF.249.105

Citation:

Cite this paper

Online since:

January 2006

Authors:

Boris B. Khina, Boleslaw Formanek

Keywords:

Cross-Term Effects, Mathematical Modeling, Mechanical Alloying (MA), Non-Equilibrium Point Defects, Periodic Plastic Deformation, Point Defect Relaxation, Solid-State Interdiffusion

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

Citation:

References

[1] L. N . Larikov, V.M. Falchenko, V.F. Mazanko, S.M. Gurevich, G.K. Kharchenko and A.I. Ignatenko: Dokl. Akad. Nauk SSSR Vol. 221 (1975), p.1073 (in Russian).