One-Dimensional Compression Fractal Theory and Experimental Verification of Coarse-Grained Soil

Abstract

Coarse-grained soil particles will be obviously broken under high stress, and particle breakage is the main reason for the compression of samples. The compressibility λ in e-logσ curve is closely related to the degree of particle breakage. In this paper, a term of surface energy caused by particle breakage is added to the energy conservation equation. The variation of surface area per unit volume of sample is described by fractal dimension, and then the relationship between fractal dimension and vertical stress is established. Finally, the theoretical formula of compression coefficient is obtained, and the fractal theoretical model of one-dimensional compression deformation of coarse-grained soil is established. Compression coefficient is related to surface free energy, internal friction angle, shape factor and initial particle size. In addition, calcareous sand and gypsum were selected for one-dimensional compression tests at high stress. With the increase of initial particle size, the compression coefficient increases. According to the relationship between fractal dimension and vertical stress, the theoretical value of compression coefficient is obtained. The theoretical value is very close to the experimental value, which proves that the fractal theory of one-dimensional compression deformation of coarse-grained soil is correct.