非饱和土力学的分形理论

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室内试验确定非饱和土的力学性质有许多困难,特别是非饱和土的渗透系数,非饱和土渗透系数量级小,随吸力变化幅度大。非饱和土的孔隙结构与非饱和土的力学特性有关,非饱和土的孔隙结构用分形模型表示,分形理论可以用于研究非饱和土的力学特性。本文采用分形理论描述土体孔隙特性,导出非饱和土的水份特征曲线、渗透系数、剪切强度、膨胀变形和压缩变形的表达式。非饱和土的吸力与孔隙的关系由Young-Lapalace方程表示,将孔隙与非饱和土力学性质联系起来。文中非饱和土的理论公式与试验结果符合得很好。 Laboratory tests to determine the mechanical properties of unsaturated soils have many difficulties, especially in unsaturated soil permeability coefficient, unsaturated soil permeability coefficient order of magnitude, with the suction range. The pore structure of unsaturated soils is related to the mechanical properties of unsaturated soils. The pore structure of unsaturated soils is represented by fractal models. Fractal theory can be used to study the mechanical properties of unsaturated soils. In this paper, fractal theory is used to describe the pore characteristics of soils, and the expressions of water characteristic curves, permeability coefficients, shear strengths, swelling deformations and compressive deformations of unsaturated soils are derived. The relationship between suction and porosity in unsaturated soils is represented by the Young-Lapalace equation, which relates the porosity to the mechanical properties of unsaturated soils. The theoretical formula of unsaturated soil in this paper is in good agreement with the experimental results.
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