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Multifractal Analysis of the Mechanical PropOKerties of the Texture of Biopolymer-Inorganic Composites of Chitosan-Silicon Dioxide

Author

Listed:
  • V. P. Meshalkin

    (Faculty of Digital Technologies and Chemical Engineering, Mendeleev University of Chemical Technology of Russia, 125047 Moscow, Russia
    Saint-Petersburg State Institute of Technology, Technical University, 190013 St. Petersburg, Russia)

  • O. B. Butusov

    (Faculty of Digital Technologies and Chemical Engineering, Mendeleev University of Chemical Technology of Russia, 125047 Moscow, Russia)

  • Andrea Reverberi

    (DCCI—Department of Chemistry and Industrial Chemistry, University of Genova, 16126 Genoa, Italy)

  • A. G. Kolmakov

    (Baikov Institute of Metallurgy and Materials Science RAS, 119334 Moscow, Russia)

  • M. A. Sevostyanov

    (Baikov Institute of Metallurgy and Materials Science RAS, 119334 Moscow, Russia
    All-Russian Research Institute of Phytopathology, 143050 Moscow, Russia)

  • A. V. Garabadzhiu

    (Saint-Petersburg State Institute of Technology, Technical University, 190013 St. Petersburg, Russia)

  • A. G. Alexandrova

    (All-Russian Research Institute of Phytopathology, 143050 Moscow, Russia)

Abstract

An original multifractal algorithm is proposed for calculating the fractal characteristics of the cluster texture of biopolymer-inorganic (BIN) composites from microphotographic images (MPIs) of their texture, which allows one to determine the quantitative dependence of the mechanical properties of biopolymer–inorganic composites on the characteristics of their cluster texture. As a result of the studies conducted on the MPI texture of the “chitosan-silicon dioxide” BIN composites using a multifractal algorithm, it was found that such important indicators as strength and plasticity can be quantitatively described using generalized fractal pixel dimensions of MPI samples of the BIN composite. It was established that when the amount of silicon dioxide in the samples of the BIN composite changes, the mechanical characteristics of the BIN composites, such as strength and plasticity, can be quantitatively described using generalized fractal pixel dimensions of the MPIs of the BIN composite samples.

Suggested Citation

  • V. P. Meshalkin & O. B. Butusov & Andrea Reverberi & A. G. Kolmakov & M. A. Sevostyanov & A. V. Garabadzhiu & A. G. Alexandrova, 2022. "Multifractal Analysis of the Mechanical PropOKerties of the Texture of Biopolymer-Inorganic Composites of Chitosan-Silicon Dioxide," Energies, MDPI, vol. 15(19), pages 1-15, September.
    • Handle: RePEc:gam:jeners:v:15:y:2022:i:19:p:7147-:d:928363
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