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Matematicheskoe modelirovanie, 2016, Volume 28, Number 12, Pages 83–94 (Mi mm3798)  

This article is cited in 28 scientific papers (total in 28 papers)

Kinetic melting and crystallization stages of strongly superheated and supercooled metals

V. I. Mazhukinab, A. V. Shapranovab, V. E. Perezhigina, O. N. Korolevaab, A. V. Mazhukinab

a Keldysh Institute of Applied Mathematics RAS, Moscow
b National Research Nuclear University MEPHI (Moscow Engineering Physics Institute)
References:
Abstract: Within the framework of the molecular dynamics approach was carried out modeling of heterogeneous melting/crystallization of metals with different crystallographic lattices under conditions where the phase front propagates on overheated/supercooled media. To obtain the temperature dependence of the kinetic velocity in analytical form results of atomistic modeling were approximated by function obtained from the kinetic representations. For the first time were built stationary temperature dependences of kinetic velocity v(Tsl) for limit values of overheated/supercooling of copper and iron.
Keywords: atomistic modeling, kinetic velocity, overheated/supercooled states, melting-crystallization, molecular dynamics.
Funding agency Grant number
Russian Science Foundation 15-11-00032
Received: 08.02.2016
English version:
Mathematical Models and Computer Simulations, 2017, Volume 9, Issue 4, Pages 448–456
DOI: https://doi.org/10.1134/S2070048217040081
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. I. Mazhukin, A. V. Shapranov, V. E. Perezhigin, O. N. Koroleva, A. V. Mazhukin, “Kinetic melting and crystallization stages of strongly superheated and supercooled metals”, Mat. Model., 28:12 (2016), 83–94; Math. Models Comput. Simul., 9:4 (2017), 448–456
Citation in format AMSBIB
\Bibitem{MazShaPer16}
\by V.~I.~Mazhukin, A.~V.~Shapranov, V.~E.~Perezhigin, O.~N.~Koroleva, A.~V.~Mazhukin
\paper Kinetic melting and crystallization stages of strongly superheated and supercooled metals
\jour Mat. Model.
\yr 2016
\vol 28
\issue 12
\pages 83--94
\mathnet{http://mi.mathnet.ru/mm3798}
\elib{https://elibrary.ru/item.asp?id=28119139}
\transl
\jour Math. Models Comput. Simul.
\yr 2017
\vol 9
\issue 4
\pages 448--456
\crossref{https://doi.org/10.1134/S2070048217040081}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85024394599}
Linking options:
  • https://www.mathnet.ru/eng/mm3798
  • https://www.mathnet.ru/eng/mm/v28/i12/p83
  • This publication is cited in the following 28 articles:
    1. Serhii Dukarov, Serhii Petrushenko, Sergiy Bogatyrenko, Vladimir Sukhov, Formation and Temperature Stability of the Liquid Phase in Thin-Film Systems, 2024, 1  crossref
    2. V. I. Mazhukin, A. V. Shapranov, O. N. Koroleva, A. V. Mazhukin, “Modification of the Wilson–Frankel Kinetic Model and Atomistic Simulation of the Rate of Melting/Crystallization of Metals”, Math Models Comput Simul, 16:2 (2024), 223  crossref
    3. Ching Chen, Sergey Galitskiy, D S Ivanov, Avinash M Dongare, “A hybrid mesoscale-continuum approach to understand and predict melting kinetics of Al powders during laser processing”, Modelling Simul. Mater. Sci. Eng., 32:8 (2024), 085004  crossref
    4. Pritha Renganathan, Surinder M. Sharma, Stefan J. Turneaure, Yogendra M. Gupta, “Real-time (nanoseconds) determination of liquid phase growth during shock-induced melting”, Sci. Adv., 9:8 (2023)  crossref
    5. V. I. Mazhukin, A. V. Shapranov, O. N. Koroleva, A. V. Mazhukin, “Modification of the Wilson–Frankel kinetic model and atomistic simulation of the rate of melting/crystallization of metals”, Matem. Mod., 35:11 (2023), 103–121  mathnet  mathnet  crossref
    6. Vladimir Ivanovich Mazhukin, Mikhail Mikhailovich Demin, Aleksandr Viktorovich Shapranov, Elena Nikolaevna Bykovskaya, “Continual modeling of processes of homo-geterogeneous melting and fragmentation of metal by ultrashort laser pulse”, MathMon, 58 (2023), 80  crossref
    7. G. M. Poletaev, R. Yu. Rakitin, “A Molecular Dynamics Study of the Influence of Elastic Strain on the Intensity of Mutual Diffusion at a Solid–Liquid Contact of Ni and Al”, Tech. Phys. Lett., 49:10 (2023), 123  crossref
    8. G. M. Poletaev, R. Y. Rakitin, V. V. Kovalenko, “Molecular Dynamics Study of the Effect of Carbon and Oxygen Impurities on the Velocity of the Crystallization Front in Nickel”, Phys. Solid State, 64:8 (2022), 455  crossref
    9. G. M. Poletaev, I. V. Karakulova, R. Y. Rakitin, “Crystallization Front Motion Velocity in Nickel Depending on Orientation and Supercooling Temperature: Molecular Dynamics Simulation”, Russ Phys J, 65:8 (2022), 1323  crossref
    10. Vladimir Ivanovich Mazhukin, Olga Nikolaevna Koroleva, Aleksandr Viktorovich Shapranov, Anna Andreevna Aleksashkina, Mikhail Mikhailovich Demin, “Molecular dynamics study of thermal hysteresis during melting-crystallization of noble metals”, MathMon, 53 (2022), 89  crossref
    11. V. I. Mazhukin, O. N. Koroleva, A. V. Shapranov, M. M. Demin, A. A. Aleksashkina, “Determination of thermal properties of gold in the region of melting-crystallization phase transition. Molecular dynamic approach”, Math. Models Comput. Simul., 14:4 (2022), 662–676  mathnet  mathnet  crossref  crossref
    12. Gennady Poletaev, Irina Karakulova, Darya Novoselova, Roman Rakitin, “Molecular dynamics study of the influence of free volume and orientation of the crystallization front on its velocity in nickel”, Lett. Mater., 12:2 (2022), 111  crossref
    13. M. Xiang, S. Jiang, J. Cui, Yu. Xu, J. Chen, “Coupling of dynamic ductile damage and melting in shock-induced micro-spalling: modeling and applications”, Int. J. Plast., 136 (2021), 102849  crossref  isi
    14. M. A. Diop, Zh. Shi, M. Fafard, S. A. Bousso, Tao Wenju, Zh. Wang, “Green power furnaces in aluminum cast house for scrap preheating using CO2-flue gas”, J. SUST. METALL., 7:1 (2021), 46–59  crossref  isi  scopus
    15. V. I. Mazhukin, O. N. Koroleva, A. V. Shapranov, A. A. Aleksashkina, M. M. Demin, “Molecular dynamic modeling of thermal hysteresis of gold”, Keldysh Institute preprints, 2021, 81–11  mathnet  mathnet  crossref
    16. G M Poletaev, Yu V Bebikhov, A S Semenov, R Yu Rakitin, “Molecular dynamics study of the influence of supercooling temperature and orientation of the crystallization front on its velocity in silver”, J. Phys.: Conf. Ser., 2131:4 (2021), 042053  crossref
    17. V. I. Mazhukin, A. V. Shapranov, O. N. Koroleva, A. V. Mazhukin, “Atomistic modeling of the propagation of the melting/crystallization front for metals based on the generalization of the modified transition state theory”, Keldysh Institute preprints, 2021, 90–20  mathnet  mathnet  crossref
    18. M. M. Demin, A. A. Aleksashkina, O. N. Koroleva, “Atomisticheskoe modelirovanie kharakteristik zolota v oblasti fazovogo perekhoda plavlenie–kristallizatsiya”, Preprinty IPM im. M. V. Keldysha, 2020, 001, 18 pp.  mathnet  crossref
    19. V. I. Mazhukin, M. M. Demin, A. V. Shapranov, A. V. Mazhukin, “Role of electron pressure in the problem of femtosecond laser action on metals”, Appl. Surf. Sci., 530 (2020), 147227  crossref  isi  scopus
    20. V. I. Mazhukin, A. V. Shapranov, O. N. Koroleva, “Atomistic modeling of crystal-melt interface mobility of fcc (al, cu) and bcc (FE) metals in strong superheating/undercooling states”, Math. Montisnigri, 48 (2020), 70–85  crossref  mathscinet  isi
    Citing articles in Google Scholar: Russian citations, English citations
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