Multifractal hardness analysis of rollerrolls

Authors

DOI:

https://doi.org/10.30838/J.PMHTM.2413.250918.28.395

Keywords:

multifractal, structure, dimensional spectrum, cast iron rolls, hardness

Abstract

Abstract. Formulation  of  the  problem. In  connection  with  the  technology  of  production  and  operation  to  evaluate  the mechanical properties of massive cast iron castings is not always possible with the use of field examinations. Therefore, the forecast of  properties,  in  particular,  rolling  mill  casting  rolls,  is  carried  out  by  means  of  simulation  by  analyzing  the  influence  of  the parameters of the technology. The parameters of the technologythat influence the formation of the structure of cast-iron rolls include the chemical composition, the cooling rate, and the like. Since the structure of materials greatly affects their properties, but it is not always possible to quantitatively parameterize its elements using classical methods, in the work it is proposed to evaluate the quality of rolls on the basis of a multifractal analysis of the structure. Materials and methods of research.As a material for research, rollerbearings ЛПХ17НМдц-63, whose structure and properties were evaluated using the theory of multifractals, Shore hardness meter, metallographic analysis, mathematical modeling, were selected. It is noted that increasing the chromium content to 17 % in the white zone affects the formation of stable carbides and leads to an increase in hardness from 47 to 76 units of Shore compared with the gray zone. Results and discussion.The influence of the elements of the white zone structure of the roll barrel (from 0 to 50 mm from the surface). The relations between the most sensitive indicators in the spectrum of dimensions of the elements of the structure of the white zone are established: D0 and D+100 by the dimensions of austenite; D0 and D-100 dimensions of chromium carbides and roller hardness  indexes.  The  models  for  predicting  the  hardness  of  the  working  area  of  the  rolls  of ЛПХ17НМдц−63 rolls  from  the dimensions  of  austenite  (correlation  coefficients R2 =  0,71  and R2 =  0,85)  and  chromium  carbides  (R2 =  0,95  and R2 =  0,89). Conclusions. The  results  of  the  study  indicate  the  expediency  of  applying  a  multifractal  model  of  structure  to  the  prediction of hardness parameters of the working area of roll barrels ЛПХ17НМдц−63.

Author Biographies

V. M. Volchuk, Department of Materials Science and Materials Processing, State Higher Education Institution“PrydniprovskaState Academy of Civil Engineering and Architecture”, 24-а, Chernyshevskoho St., Dnipro 49600

Dr. Sc. (Tech.), Ass. Prof.

Yu. І. Dubrov, Dr. Sc. (Tech.), Prof.

Department of Materials Science and Materials Processing, State Higher Education Institution“PrydniprovskaState Academy of Civil  Engineering  and  Architecture”,  24-а,  Chernyshevskoho  St.,  Dnipro  49600

References

Krivosheev A.E. Litye valki[Cast rolls]. Moscow : Metallurgy, 1957, 360 p. (in Russian).

Dubrov Yu., Bolshakov V. and Volchuk V. Puti identifikatsii periodicheskikh mnogokriterial'nykh tekhnologiy [Road periodic identification of multi-criteria Technology]. Saarbrucken : Palmarium Academic Publishing, 2015, 236 p. (in Russian).

Skoblo T.S., Vorontsov N.M., Budagyants N.A. and others. Prokatnyye valki iz vysokouglerodistykh staley[Rolling rolls made of high-carbon steels]. Moscow : Metallurgiya, 1994, 336 p. (in Russian).

Bolshakov V.I., Volchuk V.N. and Dubrov Yu.I. Identifikatsiya mnogoparametricheskikh, mnogokriterial'nykh tekhnologiy iputi ikh prakticheskoy realizatsii [Multiparameter identification, multicriteria techniques and ways of their implementation]. Metaloznavstvo ta termichna obrobka metaliv[Metall Science and Heat Treatment of Metals]. 2013, no. 4. pp. 5–11. (in Russian).

Bol’shakov Vad.I., Bol’shakov V.I., Volchuk V.N. and Dubrov Yu.I. Systemnyy analiz tekhnolohiyi vyrobnytstva masyvnohometalevoho lyttya[System analysis techniques of producing solid metal castings]. Visnyk Natsional’noyi akademiyi nauk Ukrayiny[Bulletin of the National Academy of Sciences of Ukraine]. 2015, no. 9, pp. 69–73. (in Ukrainian).

Bol’shakov V.I., Volchuk V.N. and Dubrov Yu.I. Etapy identyfikatsiyi bahatoparametrychnykh tekhnolohiy ta shlyakhy yikh realizatsiyi[Stages multiparameter identification technologies and ways of their implementation]. Visnyk Natsional’noyi akademiyi nauk Ukrayiny[Bulletin of the National Academy of Sciences of Ukraine]. 2013, no. 8, pp. 66–72. (in Ukrainian).

Bolshakov V.I., Volchuk V.N. and Dubrov Yu.I. O prognozirovanii kachestva tselevogo produkta v periodicheskikh tekhnologiyakh [Predicting the quality of a desired product in periodic technologies]. Dopovidi Natsionalnoi akademii nauk Ukrainy[Reports of the National Academy of Sciences of Ukraine]. 2014, no. 11, pp. 7781. (in Russian).

Volchuk V.M. K primeneniyu fraktal'nogo formalizma pri ranzhirovanii kriteriyev kachestva mnogoparametricheskikh tekhnologiy [On the Application of Fractal Formalism for Ranging Criteria of Quality of Multiparametric Technologies]. Metallofizika Inoveyshiye tekhnologii [Metal Physics and Advanced Technologies]. 2017, vol. 39, no 3, рp. 949−957. (in Russian).

Volchuk V.N. K opredeleniyu oblasti kompromissa kharakteristik kachestva materialov [By identifying areas compromise performance materials quality]. Metallovedenie i termicheskaya obrabotka metallov [Metall Science and Heat Treatment of Metals]. 2015, no. 3, pp. 21–25. (in Russian).

Kroviakov S., Mishutin A. and Pishev O. Management of the Properties of Shipbuilding Expanded Clay Lightweight Concrete. International Journal of Engineering & 249.Technology. 2018, [S. l.], vol. 7, no. 3.2, pp. 245.

Volchuk V. and Tokosov S. Sposib prohnozu mekhanichnykh vlastyvostey chavunnykh valkiv [Method of forecasting mechanical properties of cast-iron rolls]. ScienceRise, 2018, vol. 11, рр. 57–61. (in Ukrainian).

Volchuk V.M. and Shtandenko M.S. Matematychna model prohnozu yakosti metalu [Mathematical model of the metal quality forecast]. Visnyk Prydniprovs’koyi derzhavnoyi akademiyi budivnytstva ta arkhitektury [Bulletin of Prydniprovs’ka State Academy of Civil Engineering and Architecture]. 2018, no. 2, pp. 31–35. (in Ukrainian).

Volchuk V.N. Issledovaniya vliyaniya khimicheskogo sostava chugunnykh prokatnykh valkov na ikh mekhanicheskiye svoystva [Studies of the influence of the chemical composition of cast iron rolls on their mechanical properties]. Visnyk Prydniprovs’koyi derzhavnoyi akademiyi budivnytstva ta arkhitektury [Bulletin of Prydniprovs’ka State Academy of Civil Engineering and Architecture]. 2014, no. 5, pp. 12–18. (in Russian).

Bolshakov V.I., Volchuk V.N. and Dubrov Yu.I. Prognozirovaniye i upravleniye kachestvennymi kharakteristikami prokatnykh valkov [Prediction and control of quality characteristics rolls]. Visnyk Prydniprovs’koyi derzhavnoyi akademiyi budivnytstva ta arkhitektury[Bulletin of Prydniprovs’ka State Academy of Civil Engineering and Architecture]. 2014, no. 9, pp. 9–14. (in Russian).

Bolshakov V.I., Volchuk V.N. and Dubrov Yu.I. Puti prognoza mekhanicheskikh svoystv prokatnykh valkov [Ways to forecast the mechanical properties of the rolls]. Metaloznavstvo ta termichna obrobka metaliv[Metall Science and Heat Treatment of Metals]. 2014, no. 1, pp. 19−40. (in Russian).

Mandelbrot B.B. The Fractal Geometry of Nature. New-York, SanFrancisco : Freeman, 1982, 480 p.

Bol’shakov V.I., Volchuk V.M. and Dubrov Yu.I. Osnovy organizacii fraktal'nogo modelirovaniya [Fundamentals of fractal modeling]. Kyiv, Ukraine : PH “Akademperiodyka” NationalAcademy of Sciences of Ukraine, 2017, 170p. (in Russian).

Bol’shakov V.I., Volchuk V.M. and Dubrov Yu.I. Organizatsiya fraktal'nogo modelirovaniya [Organization of fractal modeling]. Dopovidi Natsionalnoi akademii nauk Ukrainy [Reports of the National Academy of Sciences of Ukraine]. 2018, no. 6, pp. 6772. (in Russian).

Bolshakov V.I., Volchuk V.M. and Dubrov Yu.I. Topologicheskiye i fraktal'nyye invarianty struktury dlya otsenki kachestva metalla [Topological and fractal invariants of a structure to assess the quality of a metal]. Dopovidi Natsionalnoi akademii nauk Ukrainy [Reports of the National Academy of Sciences of Ukraine]. 2017, no. 4, pp. 4248. (in Russian).

Bolshakov V.I., Volchuk V.M. and Dubrov Yu.I. Fraktal'nyy podkhod pri identifikatsii slozhnykh sistem [Fractal approach to the identification of complex systems]. Dopovidi Natsionalnoi akademii nauk Ukrainy [Reports of the National Academy of Sciences of Ukraine]. 2017, no. 6, pp. 4650. (in Russian).

Bolshakov V.I., Volchuk V.N. and Dubrov Yu.I. Osobennosti primeneniya mul'tifraktal'nogo formalizma v materialovedenii [Features of the multifractal formalism in materials]. Dopovidi Natsionalnoi akademii nauk Ukrainy [Reports of the National Academy of Sciences of Ukraine]. 2008, no. 11, pp. 99107. (in Russian).

Bolshakov V.I. and Volchuk V.N. Materialovedcheskiye aspekty primeneniya veyvletno-mul'tifraktal'nogo podkhoda dlyaotsenki struktury i svoystv malouglerodistoy stali [Material science aspects of the use of wavelet and multifractal approach for assessing of the structure and properties of low-carbon steel]. Metallofizika i noveyshiye tekhnologii [Metal Physics and Advanced Technologies]. 2011, vol. 33, no. 3, рp. 347−360. (in Russian).

Volchuk V., Klymenko I., Kroviakov S. and Orešković M. Method of material quality estimation with usage of multifractal formalism. Tehnički glasnik −Technical Journal, 2018, vol. 12, no. 2, рр. 9397.

Bol’shakov V., Volchuk V. and Dubrov Yu. Fractals and properties of materials. Saarbruckenm : Lambert Academic Publishing, 2016, 140 p.

Rényi A. Probability Theory. Amsterdam : North-Holland, 1970, 670 р.

Volchuk V.M. Opredeleniye chuvstvitel'nosti mul'tifraktal'nykh kharakteristik metalla [Determining the sensitivity of the multifractal characteristics of metals]. Visnyk Prydniprovs’koyi derzhavnoyi akademiyi budivnytstva ta arkhitektury [Bulletin of Prydniprovs’ka State Academyof Civil Engineering and Architecture]. 2015, no. 12, pp. 10–14. (in Russian).

Volchuk V.N. K voprosu o primenenii teorii mul'tifraktalov dlya otsenki mekhanicheskikh svoystv metalla [On the application of the theory of multifractals for the evaluation of the mechanical properties of a metal]. Metallovedenie i termicheskaya obrabotka metallov [Metall Science and Heat Treatment of Metals]. 2014, no. 3, pp. 12–19. (in Russian).

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Published

2018-09-25

Issue

No. 3 (2018): Metal Science and Heat Treatment of Metals

Section

Technical science

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