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Diagnostics of the Structure of Fractal Copper Clusters in a Polytetrafluoroethylene Matrix

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Abstract

An algorithm for recognizing copper clusters in a polytetrafluoroethylene matrix of a composite material from surface images obtained by optical microscopy is developed. The method is based on threshold cluster segmentation in accordance with the Otsu method. In accordance with the relationship between the square of the perimeter of a fractal object and its area, the fractal dimensions of the filler cluster profiles in the matrix are calculated. The fractal dimensions of the profile of the selected segments of the filler clusters in the polytetrafluoroethylene matrix increase from 1.65 to 1.72 with a change in the mass concentration of copper from 1 to 20%. The filler forms clusters, the structure of which can be described in the modified reaction-limited aggregation (RLA) model. The calculations are performed at the SKIF resource center of the Yanka Kupala State University of Grodno on the IBM FlashSystem 240 cluster supercomputer cluster.

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Authors and Affiliations

  1. Department of Physics and Technology, Grodno State University, 230023, Grodno, Republic of Belarus

    A. V. Belko, N. N. Babarika, I. S. Zeilikovich & A. V. Nikitin

Authors
  1. A. V. Belko
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  2. N. N. Babarika
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  3. I. S. Zeilikovich
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  4. A. V. Nikitin
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Corresponding authors

Correspondence to A. V. Belko, N. N. Babarika, I. S. Zeilikovich or A. V. Nikitin.

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The authors declare that they have no conflicts of interest.

Additional information

Belko Alexander Vitalievich is a candidate of physico-mathematical sciences, associate professor, associate professor at the Department of Information Systems and Technologies of Kupala Grodno State University. In 2009, he defended his thesis for the degree of candidate of physical and mathematical sciences, specializing in the physics of condensed matter.

Research interests:

physics of condensed matter,

computer simulation of physical processes,

fractal geometry,

intelligent information systems,

supercomputer systems and parallel computing.

He has more than 70 scientific papers and publications.

Babarika Nikolai Nikolaevich is a senior lecturer, Department of Fundamental and Applied Mathematics, Kupala Grodno State University. Research interests:

analytical theory of differential, equations,

workflow automation in control systems,

supercomputer systems and parallel computing.

He has over 100 scientific papers and publications.

Zeilikovich Iosif Semenovich is a doctor of physical and mathematical sciences and Professor, Department of Electrical Engineering and Electronics, Kupala Grodno State University. The scientific degree of doctor of physical and mathematical sciences was awarded on May 4, 1990 by decision of the Higher Attestation Commission under the Council of Ministers of the USSR.

Research interests:

coherent optical tomography and coherent backscatter,

laser beam diffraction and interference microscopy,

nonlinear oscillations and chaos.

He has more than 300 scientific papers and publications.

Nikitin Alexander Viktorovich, Ph.D. In 1979 he defended his thesis for the degree of candidate of technical sciences.

Research interests:

physics of condensed matter,

computer simulation of physical processes,

fractal geometry,

supercomputer systems and parallel computing.

He has over 200 scientific papers and publications.

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Belko, A.V., Babarika, N.N., Zeilikovich, I.S. et al. Diagnostics of the Structure of Fractal Copper Clusters in a Polytetrafluoroethylene Matrix. Pattern Recognit. Image Anal. 30, 1–6 (2020). https://doi.org/10.1134/S1054661820010022

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  • DOI: https://doi.org/10.1134/S1054661820010022

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