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分形结构是土体中普遍存在的一种现象,通过对分形结构连接部位所占据的影响域(Voronoi域)的分析,将颗粒连接承载能力换算为影响域上的应力强度,由此获得了一些有益的结果。土体颗粒系统结构分维值的大小对土体强度有着明显的影响;基本结构单元的颗粒数越多,形成的环的长度越长,占据的空间就越大,从力学上讲就越不稳定,因此,其强度越低;土体中分形结构的级数实际上决定了土体中最大孔隙的尺寸,分形结构的级数越多,其相应的最大孔隙越大,等效应力强度会越低;发现偶应力强度与基本结构单元的面积(二维)成反比,即基本结构体越大,偶应力强度就越小,由此可推论出:在其他条件相同的情况下,颗粒越大,偶应力强度就会越低。
Fractal structure is a ubiquitous phenomenon in soil. Through the analysis of the influence domain (Voronoi domain) occupied by the connection part of the fractal structure, the bearing capacity of particle connection is converted into the stress intensity on the influence domain, thus some Beneficial result. The fractal dimension value of soil particle system has a significant effect on the soil strength. The more the particle number of the basic structure unit, the longer the length of the ring formed, the larger the space occupied, the less mechanically speaking Therefore, the lower the strength, the number of fractal structure in soil actually determines the size of the largest pore in the soil. The more fractal structures, the larger the corresponding maximum pore size, and the equivalent stress intensity will be The lower the found that the intensity of the even stress is inversely proportional to the area (two-dimensional) of the basic structural unit, that is, the larger the basic structure, the smaller the even stress intensity. From this, it can be deduced that under the other conditions, Large, even the stress intensity will be lower.