Self-Similar Mode of Metals Fragmentation under Severe Plastic Deformation
DOI:
https://doi.org/10.15407/ujpe64.6.487Keywords:
grain boundary, dislocation, phase transition, phase diagram, internal energy, additive noise, self-similarityAbstract
In the framework of nonequilibrium evolution thermodynamics, the influence of additive fluctuations on the kinetics of structural defects under severe plastic deformation has been studied. The applied method is a new one for the description of fragmentation modes and corresponding self-organization processes. It is found that a fragmented metallic specimen demonstrates a self-similar behavior, which results in the formation of a grain structure with various grain sizes. Such a behavior takes place provided that the probability distribution for the grain boundary density has a power-law dependence. A comparison of the results obtained in the Itˆo and Stratonovich forms demonstrates the absence of qualitative changes in the behavior of the system.
References
R.Z. Valiev, I.V. Alexandrov. Bulk Nanostructured Metallic Materials: Production, Structure, and Properties (Akademkniga, 2007) (in Russian).
R.M. Kronover. Fractals and Chaos in Dynamic Systems. Fundamentals of Theory (Postmarket, 2000) (in Russian).
Ya.E. Beigelzimer, V.N. Varyukhin, D.V. Orlov, S.G. Synkov. Screw Extrusion-Process of Deformation Accumulation (TEAN, 2003) (in Russian).
A. Carpinteri, A. Spagnoli, S. Vantadori. A multifractal analysis of fatigue crack growth and its application to concrete. Engng. Fract. Mech. 77, 974 (2010). https://doi.org/10.1016/j.engfracmech.2010.01.019
L. Molenta, A. Spagnoli, A. Carpinteri, Rh. Jones. Fractals and the lead crack airframe lifing framework. Proc. Struct. Integr. 2, 3081 (2016). https://doi.org/10.1016/j.prostr.2016.06.385
V.S. Ivanova, A.A. Oksogoev. On the relationship of plastic deformation processes with a fractal structure corresponding to the change in the deformation scale level. Fiz. Mezomekh. 9, 17 (2006) (in Russian).
A.A. Ivanova, V.V. Lepov, V.S. Achikasova, A.M. Ivanov. Application of the statistical fractal concept in the analysis of the specimen deformation surfaces. Nauka Obrazov. No. 4, 89 (2016) (in Russian).
V.A. Oborin, M.V. Bannikov, Y.V. Bayandin, M.A. Sokovikov, D.A. Bilalov, O.B. Naimark. Fractal analysis of fracture surface of aluminum alloy AMg6 under fatigue and dynamic loading. PNRPU Mech. Bull. No. 2, 116 (2015). https://doi.org/10.15593/perm.mech/2015.2.07
D.J. Amit. Field Theory, the Renormalization Group, and Critical Phenomena (McGraw-Hill, 1978).
O.I. Olemskoi, O.V. Yushchenko, T.I. Zhylenko. Study of conditions for hierarchical condensation near the phase equilibrium. Ukr. J. Phys. 56, 474 (2011).
L.S. Metlov. Nonequilibrium Evolution Thermodynamics and Its Applications (Noulidge, 2014) (in Russian).
L.S. Metlov. Nonequilibrium dynamics of a two-defect system under severe load. Phys. Rev. E. 90, 022124 (2014). https://doi.org/10.1103/PhysRevE.90.022124
A.V. Khomenko, D.S. Troshchenko, L.S. Metlov. Thermodynamics and kinetics of solids fragmentation at severe plastic deformation. Condens. Matter Phys. 18, 33004 (2015). https://doi.org/10.5488/CMP.18.33004
A.V. Khomenko, D.S. Troshchenko, L.S.Metlov.Modelling of kinetics of modes of a fragmentation of materials at a severe plastic deformation. Metallofiz. Noveish. Tekhnol. 39, 265 (2017) (in Russian).
I.A. Lyashenko, A.V. Khomenko, L.S. Metlov. Thermodynamics and kinetics of boundary friction. Tribol. Int. 44, 476 (2011). https://doi.org/10.1016/j.triboint.2010.12.005
D.S. Troshchenko. Non-Equilibrium Evolution Thermodynamics of Metal Fragmentation with Account of Stochasticity. Ph.D. thesis (Sumy State Unuversity, 2018) (in Ukrainian).
A.D. Pogrebnyak, A.A. Bagdasaryan, I.V. Yakushchenko, V.M. Beresnev. The structure and properties of high-entropy alloys and nitride coatings based on them. Russ. Chem. Rev. 83, 1027 (2014). https://doi.org/10.1070/RCR4407
A.A. Goncharov, A.N. Yunda, R.Yu. Bondarenko, S.A. Goncharova. Modelling of thermal processes in the cutting insert with a protective coating. In Proceedings of the 2016 International Conference on Nanomaterials: Application and Properties (NAP-2016) (Sumy State University, 2016), Vol. 5, p. 02NEA06. https://doi.org/10.1109/NAP.2016.7757301
O.V. Khomenko, D.S. Troshchenko, Ya.O. Kravchenko, M.O. Khomenko. Additive gaussian noise effect on phase diagram of metal's fragmentation modes during severe plastic deformation. J. Nano- Electron. Phys. 9, 03045 (2017) (in Ukrainian). https://doi.org/10.21272/jnep.9(3).03045
A.V. Khomenko, Ya.A. Lyashenko. Periodic intermittent regime of a boundary flow. Tech. Phys. 55, 26 (2010). https://doi.org/10.1134/S1063784210010056
A.V. Khomenko. Noise influence on solid-liquid transition of ultrathin lubricant film. Phys. Lett. A 329, 140 (2004). https://doi.org/10.1016/j.physleta.2004.06.091
A.V. Khomenko, I.A. Lyashenko. Phase dynamics and kinetics of thin lubricant film driven by correlated temperature fluctuations. Fluct. Noise Lett. 7, L111 (2007). https://doi.org/10.1142/S0219477507003763
A.M. Glezer, I.E. Permyakova. Melt-Quenched Nanocrystals (CRC Press, 2013). https://doi.org/10.1201/b15028
A.M. Glezer, L.S. Metlov. Physics of megaplastic (severe) deformation in solids. Phys. Solid State 52, 1162 (2010). https://doi.org/10.1134/S1063783410060089
O.V. Khomenko, Ya.O. Lyashenko. Phase dynamics of a thin lubricant film between solid surfaces at the deformation defect of shear modulus. J. Phys. Stud. 11, 268 (2007) (in Ukrainian).
M.M. Protodyakonov , R.I. Teder, E.I. Ilnitskaya, O.P. Yakobashvili, I.B. Safronova, A.I. Tsykin, I.O. Kvashnina, N.N. Pavlova, L.N. Levushkin, Yu.V. Zefirov, A.A. Savelyev, M.O. Dolgova. The Distribution and Correlation of Physical Properties of the Rocks: A Reference Guide (Nedra, 1981) (in Russian).
E.V. Kozlov, N.A. Popova, N.A. Koneva. Regularities in plastic deformation of ultrafine-grained metallic materials. Deform. Razrush. Mater. No. 5, 2 (2014) (in Russian).
W. Horsthemke, R. Lefever. Noise-Induced Transitions. Theory and Applications in Physics, Chemistry, and Biology (Springer, 1984).
G.A. Salishchev, S.Yu. Mironov, S.V. Zherebtsov, A.N. Belyakov. Influence of plastic deformation on the change of boundary misorientation in metallic materials. Fiz. Mekh. Mater. 25, 42 (2016) (in Russian).
H. Risken. The Fokker-Planck Equation. Methods of Solution and Applications (Springer, 1989). https://doi.org/10.1007/978-3-642-61544-3
Yu. L. Klimontovich. Nonlinear Brownian motion. Phys. Usp. 37, 737 (1994). https://doi.org/10.1070/PU1994v037n08ABEH000038
C.W. Gardiner. Handbook of Stochastic Methods for Physics, Chemistry and the Natural Sciences (Springer, 1983). https://doi.org/10.1007/978-3-662-02377-8
Shuyong Jiang, Yanqiu Zhang, Lihong Zhao, Yufeng Zheng. Influence of annealing on NiTi shape memory alloy subjected to severe plastic deformation. Intermetallics 32, 344 (2013). https://doi.org/10.1016/j.intermet.2012.07.025
Wen Ma, Bin Chen, Fu-Shun Liu, Qing Xu. Phase transformation behaviors and mechanical properties of Ti50Ni49Fe1 alloy with severe plastic deformation. Rare Metals 32, 448 (2013). https://doi.org/10.1007/s12598-013-0157-3
W.H. Press, S.A. Teukolsky, W.T. Vetterling, B.P. Flannery. Numerical Recipes: The Art of Scientific Computing (Cambridge Univ. Press, 2007).
A.I. Olemskoi, A.V. Khomenko, D.O. Kharchenko. Self-organized criticality within fractional Lorenz scheme. Physica A 323, 263 (2003). https://doi.org/10.1016/S0378-4371(02)01991-X
A.V. Khomenko, I.A. Lyashenko, V.N. Borisyuk. Self-similar phase dynamics of boundary friction. Ukr. J. Phys. 54, 1139 (2009).
A.M. Nazarenko. Econometrics (Sumy State Univ., 2003) (in Russian).
V.V. Malashenko. Collective overcoming of point defects by dislocations in the dynamic region. Fiz. Tverd. Tela 56, 1528 (2014) (in Russian). https://doi.org/10.1134/S1063783414080186
N.V. Prodanov, A.V. Khomenko. Computational investigation of the temperature influence on the cleavage of a graphite surface. Surf. Sci. 604, 730 (2010). https://doi.org/10.1016/j.susc.2010.01.024
A.I. Bazhin, A.A. Goncharov, A.D. Pogrebnyak, V.A. Stupak, S.A. Goncharova. Superhardness effect in transition-metal diborides films. Phys. Met. Metall. 117, 594 (2016). https://doi.org/10.1134/S0031918X16060028
A.V. Khomenko, N.V. Prodanov. Study of friction of Ag and Ni nanoparticles: an atomistic approach. J. Phys. Chem. C 114, 19958 (2010). https://doi.org/10.1021/jp108981e
G.A. Malygin. Kinetic mechanism of the formation of fragmented dislocation structures upon large plastic deformations. Phys. Solid State 44, 2072 (2002). https://doi.org/10.1134/1.1521458
Downloads
Published
How to Cite
Issue
Section
License
Copyright Agreement
License to Publish the Paper
Kyiv, Ukraine
The corresponding author and the co-authors (hereon referred to as the Author(s)) of the paper being submitted to the Ukrainian Journal of Physics (hereon referred to as the Paper) from one side and the Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine, represented by its Director (hereon referred to as the Publisher) from the other side have come to the following Agreement:
1. Subject of the Agreement.
The Author(s) grant(s) the Publisher the free non-exclusive right to use the Paper (of scientific, technical, or any other content) according to the terms and conditions defined by this Agreement.
2. The ways of using the Paper.
2.1. The Author(s) grant(s) the Publisher the right to use the Paper as follows.
2.1.1. To publish the Paper in the Ukrainian Journal of Physics (hereon referred to as the Journal) in original language and translated into English (the copy of the Paper approved by the Author(s) and the Publisher and accepted for publication is a constitutive part of this License Agreement).
2.1.2. To edit, adapt, and correct the Paper by approval of the Author(s).
2.1.3. To translate the Paper in the case when the Paper is written in a language different from that adopted in the Journal.
2.2. If the Author(s) has(ve) an intent to use the Paper in any other way, e.g., to publish the translated version of the Paper (except for the case defined by Section 2.1.3 of this Agreement), to post the full Paper or any its part on the web, to publish the Paper in any other editions, to include the Paper or any its part in other collections, anthologies, encyclopaedias, etc., the Author(s) should get a written permission from the Publisher.
3. License territory.
The Author(s) grant(s) the Publisher the right to use the Paper as regulated by sections 2.1.1–2.1.3 of this Agreement on the territory of Ukraine and to distribute the Paper as indispensable part of the Journal on the territory of Ukraine and other countries by means of subscription, sales, and free transfer to a third party.
4. Duration.
4.1. This Agreement is valid starting from the date of signature and acts for the entire period of the existence of the Journal.
5. Loyalty.
5.1. The Author(s) warrant(s) the Publisher that:
– he/she is the true author (co-author) of the Paper;
– copyright on the Paper was not transferred to any other party;
– the Paper has never been published before and will not be published in any other media before it is published by the Publisher (see also section 2.2);
– the Author(s) do(es) not violate any intellectual property right of other parties. If the Paper includes some materials of other parties, except for citations whose length is regulated by the scientific, informational, or critical character of the Paper, the use of such materials is in compliance with the regulations of the international law and the law of Ukraine.
6. Requisites and signatures of the Parties.
Publisher: Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine.
Address: Ukraine, Kyiv, Metrolohichna Str. 14-b.
Author: Electronic signature on behalf and with endorsement of all co-authors.
.png){kind=small}
