The efficiency and feasibility of using fractal methods to study the surface structure of ceramic materials have been investigated. It was found that the fractal formalism can be used as a means of studying the evolution of surface morphology and that multifractal parameters make it possible to judge the degree of homogeneity of the surface structure and the conditions of its formation.
Potapov A.A., Bulavkin V.V., German V.A., Vyacheslavova O.F. 2005. T. 75.? 5.S. 28? 45.
Torkhov NA, Bozhkov VG, Ivonin IV, Novikov NV Determination of the fractal dimension of the epitaxial n-GaAs surface in the local limit // Physics and Technology of Semiconductors. 2009. T. 43.? 1.P. 38? 46.
Feder E. Fractals. Moscow: Mir, 1991.254 p.
Roldugin V.I. Properties of fractal dispersed systems // Uspekhi khimii. 2003.? 72 (11). S. 1027? 1054.
Bunin I. Zh., Kolmakov AG, Vstovsky GV, Terentiev VF Methodology of multifractal parametrization of structures of materials // Vestnik TSU. 1998. T. 3.? 3.S. 293? 294.
Filyak MM, Kanygina ON Microgeometry of the surface of porous anodic aluminum oxide // Materials Science. 2013.? 2.S. 21? 24.
Titov VV, Titov SV, Reznichenko LA et al. Self-similarity effects, fractal parameters of grain boundaries and perfection of the crystal structure in niobate
ferroelectrics // Bulletin of the Russian Academy of Sciences. Physical series. 2005. T. 69.? 6.S. 1046? 1048.
Kulkov SN, Tomash Yan, Buyakova SP Fractal dimension of surfaces of porous ceramic materials // Technical Physics Letters. 2006. T. 32. 2.P. 51? 55.
Nikitaev VG, Pronichev AN Model of digital processing of images of thin sections of ceramic materials for porosity assessment // Modern science-intensive technologies. 2009.? 9, p. 114? 115.
Kanygina ON, Chetverikova AG, Skripnikov AA, Lelevkin VM Effect of heating rate on physical and mechanical properties of siliceous ceramics // Glass and Ceramics. 1999.? 6.S. 17? 20.
Kanygina ON, Chetverikova AG, Skripnikov AA, Lelevkin VM Effect of hesting rate on the physicomechanical properties of siliceous ceramics // Glass and Ceram. 1999. V. 56. N 5? 6.P. 181? 183.
Chetverikova AG Fractal dimension of the fracture surface of siliceous ceramics after thermal shock // Bulletin of the Orenburg State University. 2013.? 9 (158). S. 150? 155.
Belyakov A. V. Obtaining transparent ceramics. Synergetic Approach (Review) // Glass and Ceramics. 2009.? 12, p. 18? 25.
Belyakov AV Production of transparent ceramic. Synergetic approach // Glass and Ceram. 2009. V. 66. N 11? 12.P. 416? 422.
Lotov V. A., Kuznetsova N. A., Kazmina O. V. Using fractal analysis methods in assessing the porous structure of foam glass // Glass and ceramics. 2013.? 7.S. 3? 6.
Lotov VA, Kuznetsova NA, Kaz'Mina OV Fractal analysis in assessing the porous structure of foam glass // Glass and Ceram. 2013. V. 70. N 7? 8.P. 237? 240.
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