Study of the dependence of the strength of cement composites on their fractal dimension
Abstract
Study of the dependence of the strength of cement composites on their fractal dimension
Incoming article date: 23.07.2020The article is devoted to the relationship between the strength of cement composites and the fractal dimension of their structure. In solid state physics, fractal algorithms can accurately describe and predict their properties and can be used in modeling the structure of composite building materials. Determination of the material fractal dimension according to its structure image at the macrolevel allows to understand its microstructure, and its properties as the result. Using the methods of experiment mathematical planning, the study was carried out and the relationship between the strength of the cement composite and its fractal dimension was established. It has been found out that the lower the fractal dimension, the higher the strength of cement composites. However, there is an area on the function graph that shows the increase in strength at sufficiently large values of the fractal dimension. Presumably, this is due to a change in the parameters of material differential porosity. For example, such as the average pore size index, the coefficient of pores uniformity in size, and the coefficient of microporosity. Such circumstance arouses interest and conditions for further research.
Keywords: fractal dimension, microstructure, strength, cement composite, composite building material, experiment planning, three-component system, regression equation, regression coefficient