THE ANALYSIS OF INFLUENCE OF TEMPERATURE DEPENDENCE OF PARAMETERS OF DIFFUSION ON THE NATURE OF GROWTH OF LAYERS IN A TWO-COMPONENT MULTIPHASE SYSTEM

Keywords: temperature dependence of diffusion,, phase,, interphase border,, multiphase system,, mathematical model,, component

Abstract

Рurpose. Subject of research – development of phenomenological mathematical model of formation and growth of phases regarding infl uence of temperature dependence of parameters of diffusion on the nature of growth of layers in a two-component multiphase system, topic– analysis of infl uence of temperature dependence of parameters of diffusion on change of nature of growth of layers in two-component multiphase systems. 
Methods and methodology. Chemical and thermal methods of processing. Novelty of article is the offer of new approach to a scientifi c explanation of different observed examples of deviations of growth of phases from Fick and Arrhenius’s laws and the proof that most of them is connected with lack of accounting of mutual infl uence on growth of multiphase layers of all phases of a diffusive zone.
Results. It is proposed the solution of a problem of use of temperature condition of process of diffusion when developing technological processes of welding, soldering, application of coverings and others at which in a diffusive zone intermetallic layers, carbides, nitrides, suboxides, phosphides, etc. with the set and controlled operational characteristics of the received new materials, their connections, coverings and so forth are formed.
Conclusions. Results of the solution of a task allow to control purposefully in the known parameters of temperature condition of process of diffusion received at a research of a two-component multiphase system dynamics of growth, structure of the layers which are formed in the course of diffusion, and their output parameters in this system for receiving new materials with the set properties.

  

 

 

REFERENCES

  1. Molokhina L. A., Rogalin V. E., Kaplunov I. A., Filin S. A. Mathematical model for the growth of phases in binary multiphase systems upon isothermic annealing. Russian Journal of Physical Chemistry A, 2017, v. 91(9), pp. 1635-1641. https://doi.org/10.7868/S0044453717090242
  2. Molokhina L. A., Rogalin V. E., Kaplunov I. A., Filin S. A. Dependence of growth of the phases of multiphase binary systems on the diffusion parameters. Russian Journal of Physical Chemistry A, 2017, v. 91(12), pp. 2302–2309. https://doi.org/10.7868/S00444537171202143
  3. Larikov L. N., Ryabov V. R., Fal’chenko V. M. Diffuzionnye processy v tverdoj faze pri svarke [Diffusive processes in a fi rm phase when welding]. Moscow, Mashinostroenie Publ., 1975, 192 p. (in Russ.)
  4. Roslyakova L. I., Roslyakov I. N. Diffuzionnye i kineticheskie protsessy na poverkhnosti stali pri tsementatsii [Diffusion and kinetic processes on the surface of steel during carburizing]. Uprochnyayuschie tehnologii i pokrytiya, 2014(112), p. 32. (in Russ.)
  5. Robinson W. M., Bever M. B. Metallurgical Transactions, 1967, 239, p. 1015.
  6. Petrunin I. E., Markova I. Yu., Ekatova A. S. Metallovedenie pajki [Metallurgy Soldering]. Moscow, Metallurgiya Publ., 1976, 264 p. (in Russ.)
  7. Ivanov S. G., Gur’ev M. A., Gur’ev A. M. Calculation of diffusion coeffi cient of simultaneous complex steel borating process. Aktual’nye problemy v mashinostroenii, 2015(2), pp. 416-420. (in Russ.)
  8. Gurov K. P., Kartashkin B. A., Ugaste Yu. E. Vzaimnaya diffuziya v mnogofaznyh metallicheskih sistemah [Mutual diffusion in multiphase metal systems]. Moscow, Nauka Publ., 1981, 350 p. (in Russ.)
  9. van Loo F. J. J., Rieck G. Diffusion in the Ti–Al system. Interdiffusion between solid Al and Fe or Ti–Al alloys. Acta Metallyrg., 1973, v. 21, pp. 61–71. https://doi.org/10.1016/0001-6160(73)90220-4
  10. Borisov V. I., Borisov T. V. Effect of interfacial reaction rate on diffusion layer growth kinetics. Fizika metallov i metallovedeniya, 1976, v. 42, p. 496. (in Russ.)
  11. Ganseen M., Rieck G. Effect of interfacial reaction rate on diffusion layer growth kinetics. Trans. Met. Soc. of AJME. 1967, v. 239, p. 1372.
  12. Bastin G.D., Rieck G. Diffusion in the Ti–Ni system. Occurrence and growth of the various intermetallic compounds. Met. Trans. Soc. 1974, v. 5, p. 1817. https://doi.org/10.1007/bf02644146
  13. Clark E. J. Vacuum diffusion joining of titanium. Welding Journel., 1959, v. 38, p. 251.
  14. Lashko N. F., Lashko S. V. Pajka metallov [Soldering of metals]. Moscow, Mashinostroenie Publ., 1988, 376 p. (in Russ.)
  15. Neverov V. I. Issledovanie kinetiki diffuzionnogo rosta faz v binarnyh sistemah so slozhnoj diagrammoj sostoyaniya, primenyaemyh v novoj tehnike [The study of the kinetics of diffusion phase growth in binary systems with a complex state diagram used in the new technique]. Cand. phys. and math. sci. diss. Sverdlovsk, 1981, 192 p. (in Russ.)
  16. Bugakov V. Z. Diffuziya v metallah i splavah [Diffusion in metals and alloys]. Leningrad, Gostehizdat Publ., 1949, 206 p. (in Russ.)
  17. Gryzunov V. I., Sokolovskaya E. M., Ajtbaev B. K. O kontsentratsionnoy i temperaturnoy zavisimosti koeffi tsientov diffuzii [On the concentration and temperature dependence of diffusion coeffi cients]. Izv. AN KazSSR. Seriya himicheskaya, 1983(6), pp. 19–26. (in Russ.)
  18. Ajtbaev B. K., Gryzunov V. I., Sokolovskaya E. M. Issledovanie vzaimnoy diffuzii v sisteme titan – tsirkoniy [Study of mutual diffusion in titanium-zirconium system]. Vestnik Moskovskogo universiteta. Ser. 2, Himiya [Moscow University Chemistry Bulletin], 1993, v. 34(2), pp. 179–180. (in Russ.)
  19. Gurevich L. M., Trykov Yu. P., Arisova V. N., Kiselev O. S., Kondrat’ev A. Yu., Metelkin V. V. Struktura i svoystva sloistykh titano-alyuminievykh kompozitov, uprochnennykh chastitsami intermetallidov [Structure and properties of layered titanium-aluminum composites reinforced with intermetallide particles]. Izvestiya VolGTU, Seriya «Problemy materialovedeniya svarki i prochnosti v mashinostroenii», 2009(59), pp. 5–10. (in Russ.)
  20. Shmorgun V. G., Trykov Yu. P., Slautin O. V., Bogdanov A. I, Bityuckih A. E. Struktura i svoystva sloistykh titano-alyuminievykh kompozitov, uprochnennykh chastitsami intermetallidov {Effect of thermal and force effects on diffusion layer growth kinetics in nickel-aluminum composite]. Izvestiya VolGTU, Seriya «Problemy materialovedeniya svarki i prochnosti v mashinostroenii», 2009(59), pp. 35–39. (in Russ.)
  21. Chernyshev A. P., Ovchinnikov V. V. Opredelenie inkubatsionnogo perioda strukturnykh i fazovykh prevrashcheniy v stali [Determination of incubation period of structural and phase transformations in steel] Metallovedenie i termicheskaya obrabotka metallov. Izvestiya VUZov. Chernaya metallurgiya,1998(2), pp. 48–49. (in Russ.)
  22. Treheus G., Guiraldeng P. Infi uence des paliers de reaction isotherme sur la croissance par diffusione des composes d’un diagramme d’equilibre benaire. Compt. Rend. Acad. Sci. B, 1972, v. 275, p. 105.
  23. Shmogun V. G., Trykov Yu. P., Slautin O. V., Metelkin V. V., Bogdanov A. I. Kinetika diffuzionnykh protsessov v nikel’-alyuminievoy kompozitsii [Kinetics of diffusion processes in nickel-aluminum composi-tion]. Izvestiya vuzov. Poroshkovaya metallurgiya i funkcional’nye pokrytiya, 2008(4), pp. 24–28. (in Russ.)
  24. Mazanko V. F., Prokopenko G. I., Shterenberg A. M., Gercriken D. S., Mironova T. V. Osobennosti fazoobrazovaniya v zheleze i stali v usloviyakh ul’trazvukovoy udarnoy obrabotki [Features of phase formation in iron and steel under conditions of ultrasonic impact treatment]. Fizika i himiya obrabotki materialov, 2006(2), pp. 73–82. (in Russ.)
  25. Kulemin A. V., Mickevich A. M. Diffuziya v sisteme Cu–Zn pri deystvii znakoperemennykh napryazheniy [Diffusion in Cu - Zn system under alternating voltages]. Metallofi zika novejshie tehnologii, 2007(3), pp. 305–315. (in Russ.)
  26. Krutilin A. N., Kuharchuk M. N., Sycheva O. A. Review of the methods of intensifi cation of diffused processes of oxides deoxidation // Lit’e i metallurgiya, 2011(60), pp. 45–49. (in Russ.)
  27. Glensk A., Grabowski B., Hickel T., Neugebauer J. Breakdown of the arrhenius law in describing vacancy formation energies: the importance of local anharmonicity revealed by ab initio thermodynamics. Physical Review X, 2014, v. 4(1), p. 011018. https://doi.org/10.1103/physrevx.4.011018

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Author Biographies

Larisa A. Molokhina, Kibalchich str., 2, corpus 4, apartment 86, 129164 Moscow, Russian Federation

Cand. Sci. (Eng.), Kibalchich str., 2, corpus 4, apartment 86, Moscow, Russian
Federation; e-mail: lara.molokhina@mail.ru. ORCID iD 0000-0002-0473-7857.

Sergey A. Filin, Plekhanov Russian University of Economics, 36, Stremynny Lane, 117997 Moscow, Russian Federation

Dr. Sci. (Econ.), Cand. Sci. (Eng.), Associate Professor, Professor, Plekhanov Russian University of Economics, Moscow, Russian Federation; e-mail: Filin.SA@rea.ru. ORCID iD
0000-0002-6054-6510

Published
2019-09-26
How to Cite
Molokhina, L. A., & Filin, S. A. (2019). THE ANALYSIS OF INFLUENCE OF TEMPERATURE DEPENDENCE OF PARAMETERS OF DIFFUSION ON THE NATURE OF GROWTH OF LAYERS IN A TWO-COMPONENT MULTIPHASE SYSTEM. Kondensirovannye Sredy I Mezhfaznye Granitsy = Condensed Matter and Interphases, 21(3), 419-431. https://doi.org/10.17308/kcmf.2019.21/1159
Section
Статьи