FRACTAL DIMENSION OF THE POROUS STRUCTURE OF CELLULAR CON-CRETE

L. Suleymanova, I. Ryabchevskiy, I. Pogorelova, M. Bogacheva
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Abstract

The study of the fractal dimension of pores in cellular concrete and aerated concrete blocks significantly influences the understanding of the porous structure of materials. One of the key methods for estimating this dimension is cell counting. The fractal dimension of pores indicates the degree of their dense distribution and is closely related to the physical properties of the material, such as heat and sound insulation. The results of the study showed that an increase in the fractal dimension of pores is associated with an increase in the number of smallest pores and the complication of their spatial arrangement. At the same time, the use of the cell counting method allows to estimate accurately this fractal dimension, based on the number of cells containing pores at different scales. One of the significant aspects is the correlation of the fractal dimension of pores with their area and size. This makes it possible to evaluate the roughness of pores and their distribution in the material, as well as to understand how an increase in pore size leads to a decrease in their number and thickening of the walls between them. The fractal dimension of pores makes it possible to characterize the structure of the pore space, which is important for understanding the microstructure of the material. Manipulating the microstructure of cellular concrete using fractal dimension analysis can improve its thermal insulation, strength and sound insulation, opening new possibilities for creating more efficient building materials
蜂窝混凝土多孔结构的分形维数
对蜂窝混凝土和加气混凝土砌块中孔隙分形维度的研究极大地影响了对材料多孔结构的理解。细胞计数是估算这一维度的主要方法之一。孔隙的分形维度表示其密集分布的程度,与材料的物理特性(如隔热和隔音)密切相关。研究结果表明,孔隙分形维度的增加与最小孔隙数量的增加及其空间排列的复杂化有关。同时,使用细胞计数法可以根据含有不同尺度孔隙的细胞数量,准确估算孔隙的分形维度。其中一个重要方面是孔隙的分形维度与其面积和大小的相关性。这样就可以评估孔隙的粗糙度及其在材料中的分布,并了解孔隙尺寸的增加如何导致孔隙数量的减少和孔隙壁的增厚。利用孔隙的分形维度可以确定孔隙空间结构的特征,这对了解材料的微观结构非常重要。利用分形维度分析法控制蜂窝混凝土的微观结构,可以提高其隔热性、强度和隔音性,为创造更高效的建筑材料提供了新的可能性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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