Uniform Fractal Characteristics of Surface Crack Distribution in Concrete Under Uniaxial Compression
WU Jianfeng1,2,*, HUANG Yuyue1, LI Hehe1, MA Deyuan3, WANG Caihua1,2
1 School of Civil and Architectural Engineering, Northeast Petroleum University, Daqing 163318, Heilongjiang, China 2 Qinhuangdao Campus of Northeast Petroleum University, Qinhuangdao 066004, Hebei, China 3 Qinhuangdao Xinglong Construction Engineering Co., Ltd., Qinhuangdao 066300, Hebei, China
Abstract: In this work, the single fractal dimension, which depicts the uniform fractal characteristics of the surface crack distribution of concrete under uniaxial compression, was quantitatively calculated following the fractal theory.The relationship between the single fractal dimension of concrete surface crack distribution and the relevant factors such as peak stress, peak strain, sample size, stress level, absorbed energy per unit vo-lume, and brittleness index was discussed.The elastic fractal damage constitutive equation of concrete under uniaxial compression based on the single fractal dimension of surface crack distribution was established.The results showed that the surface crack distribution of concrete under uniaxial compression had consistent fractal characteristics and exhibited self-similarity.The single fractal dimension of the concrete specimen (C30) was between 1.60 and 1.80, and a larger single fractal dimension corresponds to a more complicated distribution of surface cracks.The single fractal dimension was found to change positively with peak stress, peak strain, absorbed energy per unit volume, and stress level, and inversely with coarse aggregate particle size, sample size, and brittleness index.The theoretical curve of concrete elastic fractal damage constitutive equation based on single fractal dimension corresponded well with the tested stress-strain curve.The output of this work provides useful information for the analysis of crack evolution behavior of concretes.
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2025, Vol. 39 
