MODELING OF CONCRETE STRENGTH DEPENDENCE ON FRACTAL DIMENSION OF SILICA SAND

Abstract

The subject of research in this work is modeling the dependence of concrete strength on the fractal dimension of quartz sand. The purpose of the study is to determine the computer modeling of the dependence of concrete strength on the fractal size of the Tash-Kumyr and Ozgur quartz sands. The paper presents a study of the dependence of concrete strength on the fractal dimension of sand. Using mathematical modeling methods, it is shown that there is a positive correlation between the fractal dimension of quartz sand and the strength of concrete. An increase in the fractal dimension of quartz sand leads to an increase in the strength of concrete. A model is presented that allows one to calculate the compressive and tensile strength of concrete depending on the fractal dimension of quartz sand. For computer modeling, the numpy, matplotlib scipy.optimize modules of the Python program were used. The developed computer model was tested on the Tash-Kumyr and Ozgur quartz sands. Modeling allows prediction of concrete strength based on the fractal dimension of quartz sand. The results obtained can be used to optimize the composition of concrete and increase its strength.