The Influence of the Fractal Dimension on the Mechanical Behaviors of the Soil–Rock Mixture: A Case Study from Southwest China

Abstract

As the typical multi-phase geotechnical material, the particle size distribution of the natural soil–rock mixture (S−RM) has a significant impact on the structural and mechanical properties. The coarse grain content used in the laboratory and simulation tests falls short of accurately describing the particle size distribution feature of the entire material. The main subject of this article is the influence of the fractal dimension on mechanical behaviors based on the fractal theory. The double fractal characteristics were principally discussed along with the typical particle size distribution characteristics of the S−RM in the Three Gorges Reservoir and southwest China. The influence of the various fractal dimensions on the mechanical behaviors of S−RM was then investigated using three groups of large−scale triaxial tests, and the responses of the linear and nonlinear strength indexes were analyzed. The results show that the stress–strain curves of S−RM in the hyperbolic shape are visible under various confining pressure, and the nonlinear strength characteristics can be observed. The coarse grain content exhibits a negative correlation to the average fraction dimension. The difference between the coarse and fine grain fraction dimensions becomes considerably more obvious as the coarse grain content increases, which also increases the error when using the average fractal dimension. The voids between the coarse grains cannot be filled with the fine grains as the grain coarseness grows, resulting in a loose structure and a contact frictional effect, which lowers cohesion and raises the peak friction angle.

Fractal Analysis on the Crushing Characteristics of Soil-Soft Rock Mixtures under Compaction

“…SSRM displays double fractal characteristics [40], implying that the fractal properties of particles above and below the soil-rock threshold differ from those of homogeneous soil. Furthermore, the intersection particle size of the two fractal curves can be considered the boundary particle size between coarse and fine particle [41]. Therefore, neglecting the double fractal characteristics of SSRM and using the average fractal dimension to describe the entire grain set would lead to an inaccurate characterization of the SSRM's crushing characteristics.…”