Relationship between Fractal Dimension and Shear Strength of Vertisols and Red Earth
Keywords:Fractal Dimension, Shearing Strength, Multi-Scale Numerical Model.
In order to study the effect of cracks in Vertisols and red earth on shear strength, the experimenters used imaging software and fractal dimension based on box dimension algorithm ideological and digital image technology in Vertisols and red earth in Fujian, China. Under different moisture content, direct shear tests are carried out on the samples, the relationship between the fractal dimension and shear strength is given. The results show that with the increase in the moisture content, the shear strength of the samples would decrease. The shear strength of two kinds of soils has a good correlation with fractal dimension and shear strength, which could be an identification index of the strength of two soils. There is a positive correlation of fractal dimension (D) and shear strength (τ), which can be formulated as τ = a + bD +cD2.
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