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  • Investigation of the fractal dimension of filled cement composites

    The possibility of determining the physical and mechanical properties of materials on the basis of measuring the fractal dimension of its structure is considered in the article. It is shown that there is a definite dependence between the composition of the cement composite and the fractal dimension, and, consequently, similar dependencies can be obtained for various physicomechanical parameters.

    Keywords: Fractal dimension, microstructure, mathematical experiment planning, variable factors, three-component system, polynomial equation, regression coefficients

  • Investigation of the distribution density function of equivalent hydraulic radii

    Density distribution, equivalent hydraulic radius, similarity criterion, statistical probability, pore space, fine-dispersed filler, differential porosity.

    Keywords: Density distribution, equivalent hydraulic radius, similarity criterion, statistical probability, pore space, fine-dispersed filler, differential porosity