Geodesic
Calculation of vacancy concentration under thermo-mechanical loading
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, Tome 8 (2016) no. 2, pp. 71-76

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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, inhomogeneous concentration of vacancies, thermal activation mechanism.
Mots-clés : diffusion stresses 
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     author = {A. V. Galaktionova and A. K. Emaletdinov},
     title = {Calculation of vacancy concentration under thermo-mechanical loading},
     journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a, Matematika, mehanika, fizika},
     pages = {71--76},
     publisher = {mathdoc},
     volume = {8},
     number = {2},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VYURM_2016_8_2_a9/}
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A. V. Galaktionova; A. K. Emaletdinov. Calculation of vacancy concentration under thermo-mechanical loading. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, Tome 8 (2016) no. 2, pp. 71-76. http://geodesic.mathdoc.fr/item/VYURM_2016_8_2_a9/