ELECTROTECHNIC AND COMPUTER SYSTEMS, Odessa national polytechnic university

FUZZY MODEL FOR EVALUATION FRACTAL DIMENSION OF WHITE IRON IMAGING

Abstract:

The article deals with the surfaces of the structures of white cast iron doped with vanadium and the change in their fractal dimension, depending on the concentration of vanadium in the alloy. Empirical distributions of local fractal dimensions of structures are constructed. A fuzzy model for estimating the fractal dimension of images of white cast iron surfaces is constructed.

With the help of fractal image processing methods, images of the surfaces of white cast iron with different vanadium contents are analyzed. The fractal dimensions of the images of white cast iron using the classical Box Counting method are calculated, and the results for materials with different vanadium contents are compared. Empirical distributions of local fractal distributions are constructed. A fuzzy model for estimating the fractal dimension is constructed using the Fuzzy logic toolbox.

Authors:

Zhurba Anna A. PhD (annette. zhurba@ gmail. com)

Keywords

white cast iron, fractal dimension, fractal distributions, BoxCounting method, fuzzy model

DOI

http://dx.doi.org/ 10.15276/eltecs.25.101.2017.33

References

Khilchevsky, V.V. (2002). Materials science and technology of construction materials: Textbook [Materialozhavstvo i technologiya konstrukciinuh materialiv]. Kyiv: Lybid, 328 p.
Lakhtin, Yu.M. (1988). Fundamentals of Metallography [Osnovu metallovedeniya]. Moscow: Metallurgy,320 p.
Movchan, V. P. , BerezhnayaM. N.(2001). Fundamentals of Metallurgy [Osnovu metalurgii].Dnepropetrovsk: Thresholds, 336 p.
Potapov, A. A., Guliaev, Yu. V., Nikitov, S. A., Pakhomov, A.A., Potapova, V.A. (2008). The newest methods of processing images [Noveishie metodu obrabotki izobrajinii]. Ed. A.A. Potapov.Moscow: FIZMATLIT, 496 p.
Zhurba, A.A.,Mikhalev,A.I.,Gubenko, S.I. (2011). Analysis of the fractal characteristics of steel surfaces during the formation of a composite structure [Analiz fraktalnuh harakteristik poverhnostej stali v processe formirovaniya kompozitnoj strukturu].Dnipropetrovsk: Modern problems of metallurgy№ 14,p. 93−99.
Zhurba, A.O.,Mikhalov, O.I. (2016). Fractal characteristics of the structure of metal structures, that particular appendage [Fraktalni harakteristiki zobrajen metalostructur ta osobluvosti ih obchuslen]. Dnepr: System technologies for modeling complex systems. Monograph under the general editorship of prof. A.I. Mikhalev, NMetAU-IVK "System technologies", pp. 299−327.

Published:

№ 25(101), 2017

Last download:

2018-04-11 18:57:11