Estimation of the parameters of nonequilibrium grain boundaries from the high-temperature background of grain boundary internal friction
V.G. Kul’kov, D.Sh.. Norov
Branch of the National Research University «Moscow Power Engineering Institute» in Volzhsky
DOI: 10.26456/pcascnn/2025.17.267
Original article
Abstract: The physical processes leading to the formation of nonequilibrium grain boundaries in nanocrystalline and ultrafine-grained materials are considered. The problem is solved for a two-dimensional diffusion equation on a boundary segment exposed to variable compressive stresses. The vacancy distribution and the corresponding normal tension in the segment are found. From the consideration of vacancy dynamics, the rate of mutual displacement of grains in the normal to the boundary direction and the amount of internal friction are determined. Internal friction has the character of a high-temperature background. The effect of stress adjustment is taken into account. The process of atomic relaxation of the boundary structure over time is discussed. The change in relaxation energy is shown with a change in a complex parameter, including frequency, grain size, activation energy, and temperature. From the graph of the dependence of the logarithm of the product of internal friction on temperature on the reverse temperature, the activation energies on the high- and low-temperature parts of the process are found. It is shown that at pre-melting temperatures, areas with the highest activation energy may appear. A method for determining the activation energy of internal friction at equilibrium and nonequilibrium boundaries is considered. The method of grain size estimation is discussed. The relaxation time of the atomic structure of the boundary can be determined from the change in the amount of internal friction over time.
Keywords: nanocrystalline and ultrafine-grained materials, diffusion, internal friction, activation energy, relaxation time
- Viktor G. Kul’kov – Dr. Sc., Professor, Branch of the National Research University «Moscow Power Engineering Institute» in Volzhsky
- Dzhonibek Sh.. Norov – Senior Lecturer, Branch of the National Research University «Moscow Power Engineering Institute» in Volzhsky
For citation:
Kul’kov V.G., Norov D.Sh.. Otsenka parametrov neravnovesnykh granits zeren iz vysokotemperaturnogo fona zernogranichnogo vnutrennego treniya [Estimation of the parameters of nonequilibrium grain boundaries from the high-temperature background of grain boundary internal friction], Fiziko-khimicheskie aspekty izucheniya klasterov, nanostruktur i nanomaterialov [Physical and chemical aspects of the study of clusters, nanostructures and nanomaterials], 2025, issue 17, pp. 267-275. DOI: 10.26456/pcascnn/2025.17.267. ⎘
Full article (in Russian): download PDF file
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