Published since 1923
DOI: 10.33622/0869-7019
Russian Science Citation Index (RSCI) Web of Science
  • Models of Polydisperse Systems: Evaluation Criteria and Analysis of Performance Indicators
  • UDC 691:51-74
    Boris V. GUSEV, e-mail:
    Russian Academy of Engineering, Gazetnyy per., 9, str. 4, Moscow 125009, Russian Federation
    Evgeniy V. KOROLEV, e-mail:
    Anna N. GRISHINA, e-mail:
    Moscow State University of Civil Engineering (National Research University), Yaroslavskoe shosse, 26, Moscow 129337, Russian Federation
    Abstract. Main models of polydisperse systems are discussed in this article. These models are classified into "non-structural" and "structural" according to the configuration of the particle arrangement. The interrelation between basic parameters of polydisperse systems and their strength is analyzed. A method for calculating the value of the configuration entropy is proposed, as well as an invariant filling model (the "Scaling" filling model) and a model based on the use of fundamental constants: the density of the hexagonal packing, the golden section number, Fibonacci numbers and percolation thresholds of the percolation theory. It is concluded that new models of polydisperse systems in terms of efficiency have significant advantages in comparison with traditional ones (Fuller, Hummel, Andreasan, Funk-Dinger, and others). They serve as the basis for the design of not only the grain part (a mixture of fillers) of composite materials, but also the compositions of composite binding systems on the basis of various binders.
    Key words: models of polydisperse systems, fractal dimension, density of packing, composite materials
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  • For citation: Gusev B. V., Korolev E. V., Grishina A. N. Models of Polydisperse Systems: Evaluation Criteria and Analysis of Performance Indicators. Promyshlennoe i grazhdanskoe stroitel'stvo [Industrial and Civil Engineering], 2018, no. 8, pp. 31-39.