AbstractAbout AuthorsReferences
A phenomenological quantum theory is presented, the exact solutions of which describe the growth rate of crystal grains from a melt or solution and the granular structure of the material according to its parameters, temperature and pressure. The relationship between the melting temperature and activation energy and the rebound temperature at which the crystallization rate is maximal is established. It is shown that one-dimensional molecular compounds do not have a granular structure, and for two-dimensional and three-dimensional crystalline materials, a formula for the dependence of crystal sizes on temperature and material parameters is obtained. It is revealed that over time, the growth of crystalline grains occurs in the granular structure when smaller individual grains are absorbed. The criterion of maximum grain sizes is specified, at which further growth stops: the surface energy of the absorbed grain becomes greater than the change in the energy of the electronic system of the entire body when one grain is absorbed. It is shown that as the grain size increases, the binding energy of atoms in the intergranular area decreases, which leads to a loss of strength of materials – aging. The period of formation of grains of maximum size determines the durability of materials, the time of durability of materials, which in the first approximation is found by the formula of S. Zhurkov. A method for determining the degree of aging of materials by grain size is specified. These theoretical results are of great practical importance and are obtained for the first time.
.V. ZAKHAROV1, Candidate of Sciences (Physics and Mathematics) (This email address is being protected from spambots. You need JavaScript enabled to view it.),
U.Sh. SHAYAKHMETOV1, Doctor of Sciences (Engineering) (This email address is being protected from spambots. You need JavaScript enabled to view it.);
E.A. SINITSINA2, Engineer (Assistant) (This email address is being protected from spambots. You need JavaScript enabled to view it.),
I.V. NEDOSEKO2, Doctor of Sciences (Engineering) (This email address is being protected from spambots. You need JavaScript enabled to view it.)
A.N. PUDOVKIN3, Candidate of Sciences (Engineering), (This email address is being protected from spambots. You need JavaScript enabled to view it.)
U.Sh. SHAYAKHMETOV1, Doctor of Sciences (Engineering) (This email address is being protected from spambots. You need JavaScript enabled to view it.);
E.A. SINITSINA2, Engineer (Assistant) (This email address is being protected from spambots. You need JavaScript enabled to view it.),
I.V. NEDOSEKO2, Doctor of Sciences (Engineering) (This email address is being protected from spambots. You need JavaScript enabled to view it.)
A.N. PUDOVKIN3, Candidate of Sciences (Engineering), (This email address is being protected from spambots. You need JavaScript enabled to view it.)
1 Bashkir State University (32, Zaki Validi Street, Ufa, 450076,Russian Federation)
2 Ufa State Petroleum Technical University (195, Mendeleeva Street, Ufa, 450080, Russian Federation)
3 Kumertau branch of Orenburg State University (3B, 2nd Lane Soviet, Kumertau, 453300, Russian Federation)
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2. Bakunov V.S., Belyakov A.V., Lukin Ye.S., Shayakhmetov U.Sh. Oksidnaya keramika: spekaniye i polzuchest’ [Oxide ceramics: sintering and creep.] Moscow: Publishing Center of D. Mendeleev University of Chemical Technology of Russia. 2007. 582 p.
3. Bakunov V.S., Lukin Ye.S. Intensification of the sintering process of polycrystalline oxide ceramics. Noviye Ogneupory. 2015. No. 6, pp. 32–36. (In Russian).
4. Belyakov A.N., Kaybyshev R.O. Two types of grain boundaries in deformed materials. Materials Science Forum. 1996, pp. 207–209.
5. Kaybyshev R., Galiyev A., Sitdikov O. On the possibility of producing a nanocrystalline structure in magnesium and magnesium alloys. Nanostructured Materials. 1995. Vol. 6. Iss. 5–8, pp. 621–624. https://doi.org/10.1016/0965-9773(95)00135-2
6. Belyakov A., Kaibyshev R. Structural changes of ferritic stainless steel during severe plastic deformation. Nanostructured Materials. 1995. Vol. 6. Iss. 5–8, pp. 893–896. https://doi.org/10.1016/0965-9773(95)00203-0
7. Belyakov A., Kaibyshev R. Effect of deformation mechanisms on dynamic recrystallization of ferrite stainless steel. Key Engineering Materials. 1995. Vol. 97–98, pp. 425–430. https://doi.org/10.4028/www.scientific.net/KEM.97-98.425
8. Valiyev R.Z., Kaybyshev O.A., Korznikov A.V., Stolyarov V.V. Structural changes upon annealing and subsequent hot deformation of Fe-Cr-Co alloys. Izvestiya AN SSSR. Metally. 1988. No. 2, p. 121. (In Russian).
9. Andriyevskiy R.A. Thermal stability of nanomaterials. Uspekhi khimii. 2002. Vol. 71. No. 10, pp. 967–981. (In Russian).
10. Trosnikova I.Y., Loboda P.I., Karasevskaya O.P. Influence of the method of obtaining eutectic alloy of WC–W2C system doped with molybdenum on its structure and properties. Poroshkova Metalurhiya. 2019. No. 01/02, pp. 48–56. (In Ukraine).
11. Gottshtain Gunter. Physical foundations of materials science. Springer Verlag. 2009. 400 p.
12. Babkov V.V., Sakhibgareyev R.R., Komokhov P.G. and other. Features of structure formation of high-strength cement stone under conditions of long-term hardening. Stroitel’nye Materialy [Construction Materials]. 2003. No. 10, pp. 42–43. (In Russian).
13. Bogolyubov N.N., Shirkov D.V. Vvedeniye v teoriyu kvantovannykh poley [Introduction to the theory of quantized fields]. Moscow: Nauka. 1984. 604 p.
14. Faddeyev D.K. Lektsii po algebre: Uchebnoye posobiye dlya vuzov [Algebra Lectures: Textbook for High Schools] Moscow: Nauka. 1984. 416 p.
15. Gor’kov L.P., Microscopic derivation of the Ginzburg-Landau equations in the theory of superconductivity. Zhurnal Eksperimental’noy i Teoreticheskoy Fiziki. 1959. Vol. 36 (6), pp. 1918–1923. (In Russian).
16. Zhurkov S.N. K voprosu o fizicheskoy osnove prochnosti. Fizika Tverdogo Tela. 1980. Vol. 22. No. 11. (In Russian).
17. Bogolyubov N.N. K voprosu o model’nom gamil’toniane v teorii sverkhprovodimosti. Izbrannyye trudy. Vol. 3. Kiyev: Naukova dumka. 1971. 485 p.
18. Bogolyubov N.N. Superfluidity and quasi-averages in problems of statistical mechanics. Theoretical and mathematical physics, Collection of review articles 3. To the 50th anniversary of the institute. Proceedings of Steklov Mathematical Institute of the USSR. 1986, pp. 4–46. (In Russian).
19. Solov’yev V.G. Teoriya slozhnykh yader [Complex nuclei theory]. Moscow: Nauka. 1971. 560 p.
20. Beytmen G., Erdeyi A., Vysshiye transtsendentnyye funktsii [Higher transcendental functions]. Transl. from English by Vilenkina N.Ya. Moscow: Nauka. 1967. 345 p.
For citation: Zakharov A.V., Shayakhmetov U.Sh., Sinitsina E.A., Nedoseko I.V., Pudovkin A.N. Application of the theory of granular structure in building materials science. Stroitel’nye Materialy [Construction Materials]. 2020. No. 9, pp. 62–68. (In Russian). DOI: https://doi.org/10.31659/0585-430X-2020-784-9-62-68