On the Application of Fractal Formalism for Ranging Criteria of Quality of Multiparametric Technologies

Issues » Volume 39, Issue 7

V. M. Volchuk

Prydniprovs’ka State Academy of Civil Engineering and Architecture, 24a Chernyshevs’ky Str., 49600 Dnipro, Ukraine

Received: 10.02.2017. Download: PDF

In the article, the quality criteria of multiparametric technologies are analysed. An approach allowing estimating a significance of the criteria depending on the size of the area of key parameters’ self-similarity is proposed. As an illustrative example, this approach for the case of cast-iron rolls is used.

Key words: cast-iron rolls, mechanical properties, microstructure, area of self-similarity, fractal formalism.

URL: http://mfint.imp.kiev.ua/en/abstract/v39/i07/0949.html

DOI: https://doi.org/10.15407/mfint.39.07.0949

PACS: 62.20.F-, 62.20.M-, 64.60.al, 68.35.Dv, 81.40.Cd, 81.40.Ef, 81.70.Bt

Citation: V. M. Volchuk, On the Application of Fractal Formalism for Ranging Criteria of Quality of Multiparametric Technologies, Metallofiz. Noveishie Tekhnol., 39, No. 7: 949—957 (2017) (in Russian)

REFERENCES

Yu. Dubrov, V. Bol'shakov, and V. Volchuk, Puti Identifikatsii Periodicheskikh Mnogokriterialnykh Tekhnologiy [Paths to Identification of Periodic Multicriteria Technologies] (Saarbrucken, Deutschland: Palmarium Academic Publishing: 2015) (in Russian).
B. B. Mandelbrot, The Fractal Geometry of Nature (New York–San Francisco: Freeman: 1982).
C. W. Lung and N. H. March, Mechanical Properties of Metals. Atomistic and Fractal Continuum Approaches (Singapore: World Scientific: 1999). Crossref
A. S. Bakai, Materialovedenie, Iss. 6: 2 (2009); ibid., Iss. 7: 2 (2009); ibid., Iss. 8: 2 (2009).
V. P. Shestopalov, Dopov. Nac. Akad. Nauk Ukr., No. 3: 96 (1999) (in Russian).
V. T. Grinchenko, V. T. Matsypura, and A. A. Snarskiy, Vvedenie v Nelineynuyu Dinamiku. Khaos i Fraktaly [Introduction to Nonlinear Dynamics. Chaos and Fractals] (Kiev: Naukova Dumka: 2005) (in Russian).
A. F. Bulat and V. I. Dyrda, Fraktaly v Geomekhanike [Fractals in Geomechanics] (Kiev: Naukova Dumka: 2005) (in Russian).
V. S. Ivanova, A. S. Balankin, I. Z. Bunin, and A. A. Oksogoyev, Sinergetika i Fraktaly v Materialovedenii [Synergetics and Fractals in Materials Science] (Moscow: Nauka: 1994) (in Russian).
J. Smrek and A. Y. Grosberg, Phys. Rev. E, 92: 012702 (2015). Crossref
V. I. Bol'shakov, V. N. Volchuk, and Yu. I. Dubrov, Dopov. Nac. Akad. Nauk Ukr., No. 11: 99 (2008) (in Russian).
V. Bolshakov, V. Volchuk, and Yu. Dubrov, Fractals and Properties of Materials (Saarbrucken, Deutschland: Lambert Academic Publishing: 2016).
V. I. Bol'shakov and V. N. Volchuk, Metallofiz. Noveishie Tekhnol., 33, No. 3: 347 (2011) (in Russian).
A. Ye. Krivosheyev, Litye Valki [Cast Rolls] (Moscow: Metallurgizdat: 1957) (in Russian).
V. I. Bol'shakov, V. M. Volchuk, and Yu. I. Dubrov, Visn. Nac. Akad. Nauk Ukr., No. 8: 66 (2013) (in Ukrainian).
V. I. Bol'shakov, V. N. Volchuk, and Yu. I. Dubrov, Dopov. Nac. Akad. Nauk Ukr., No. 11: 77 (2014) (in Russian). Crossref
N. A. Budag'yants and V. Ye. Karskiy, Litye Prokatnye Valki [Alloy Mill Rolls] (Moscow: Metallurgiya: 1983) (in Russian).
T. S. Skoblo, N. M. Vorontsov, S. I. Rudyuk, N. A. Budag'yants, and V. A. Voronina, Prokatnye Valki iz Vysokouglerodistykh Splavov [Forming Rolls from High-Carbon Alloys] (Moscow: Metallurgiya: 1994) (in Russian).