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Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Matematika. Mekhanika. Fizika", 2016, Volume 8, Issue 2, Pages 71–76
DOI: https://doi.org/10.14529/mmph160210
(Mi vyurm302)
 

Calculation of vacancy concentration under thermo-mechanical loading

A. V. Galaktionova, A. K. Emaletdinov

Ufa State Aviation Technical University, Ufa, Russian Federation
References:
Abstract: The evolution of vacancy system and pore emergence under the influence of cyclic thermo-mechanical loading determines the durability of the nanocrystalline two-phase alloys such as superalloys, which are composite materials. The emergence of excess non-equilibrium vacancies, the activation of diffusion processes and the pore growth occur under the influence of thermo-mechanical loading. However, kinetics of the emergence and evolution of the excess vacancy concentration at various kinds of thermo-mechanical loading arising during the operation process have not been investigated yet. In this paper, the vacancy concentration in the one-dimensional model for thermo-mechanical loading including cyclic tensile stresses, thermal stresses and heating to high temperature taking into account microstructure is calculated. The considerable supersaturation of non-equilibrium vacancies arises in nanostructured alloys under the influence of thermo-mechanical loading. The rising of diffusion may occur at a critical value of excess vacancies as part of the diffusion-deformation stability mechanism, when small local fluctuation of excess vacancy concentration begins to grow. The growth occurs due to a Gibbs energy decrease in the increased vacancy concentration caused by the influence of thermo-mechanical stresses.
Keywords: thermal expansion, chemical potential, diffusion stresses, inhomogeneous concentration of vacancies, thermal activation mechanism.
Received: 26.06.2015
Bibliographic databases:
Document Type: Article
UDC: 538.913
Language: Russian
Citation: A. V. Galaktionova, A. K. Emaletdinov, “Calculation of vacancy concentration under thermo-mechanical loading”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 8:2 (2016), 71–76
Citation in format AMSBIB
\Bibitem{GalEma16}
\by A.~V.~Galaktionova, A.~K.~Emaletdinov
\paper Calculation of vacancy concentration under thermo-mechanical loading
\jour Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz.
\yr 2016
\vol 8
\issue 2
\pages 71--76
\mathnet{http://mi.mathnet.ru/vyurm302}
\crossref{https://doi.org/10.14529/mmph160210}
\elib{https://elibrary.ru/item.asp?id=25903370}
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