691.3; 519.6

Rezaev, R. O. Ph.D., associate professor, Tomsk polytechnic university, Tomsk, Russia; researcher in Leibniz Institute for Solid State and Materials Research, Dresden, Germany

Smirnova, E. I. Ph.D., principal investigator in Tomsk polytechnic university, Tomsk, Russia

Demyanenko, O. V. Ph.D. student, Tomsk State University of Architecture and Construction, Tomsk, Russia

Kopanitsa, N. O. Dr. Tech. Sc., prof., Tomsk State University of Architecture and Construction, Tomsk, Russia

Lukyanchikov, S. A. Dr.-Ing., associate professor, Tomsk State University of Architecture and Construction, Tomsk, Russia

Alitinform №1 (54) 2019 г. 28-38 p.


The paper presents an algorithm for calculating the parameters of the packing density model to optimize on its basis a number of industrial problems in the technology of concrete production. The algorithm is based on the mathematical determination of the mapping between multi-fractional material and equivalent mono- and bi-fractional materials. Bi-fractional materials are needed to calculate the coefficients of the geometric interaction of the grains with each other: wall and loosening effects. The possibilities of the algorithm will allow optimization of aggregate granulometry consisting of 18 or more fractions covering grain sizes from microns to tens of millimeters, which would be impossible using alternative methods, for example, discrete element methods. For experimental verification of the adequacy of the calculation method, the data of granulometric analysis of natural quartz sand from the Kudrovsky quarries of the Tomsk region and gravel from the Kandinsky quarries of the Tomsk region were used as testing materials. A satisfactory agreement was obtained (within 8 % error) between the calculated results and experimental data.

Key words:

packing density, concrete mixture optimization, mathematical modeling

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