骨架密实型沥青混合料集料的分形特征

Aggregate Fractal Characteristic of Asphalt Mixtures with Skeleton Dense Structure

为了分析和利用骨架密实型沥青混合料集料分形特征，基于分形几何的基本理论，推导出了集料的质量分布分形几何模型，并以SMA－16混合料为例，探讨了集料分维值（D）的最小计算粒径；结合SMA－16混合料体积参数的测试结果，研究了分形维数与体积参数的关系．结果表明：对于SMA－16混合料，分维值的最小计算粒径为0.6mm；规范级配范围对应的分维值为2.355～2.457；分维值越大，混合料级配越细；分维值与空隙率、矿料间隙率、沥青饱和度等混合料体积参数有很好的线性相关性．

In order to analyze and utilize aggregate fractal characteristics of asphalt mixtures with skeleton dense structure, the fractal formula of mass distribution was deduced based on the fractal geometry theory. Taking SMA-16 mixture as an example, the minimal particle size for the fractal dimension（D） calculation was discussed and the relationship between D and volume parameter was researched based on testing volume parameter of SMA-16 mixture. The results show that the minimal calculation particle size is 0.6 mm; the ranges of D is 2. 355～2. 457 corresponding with gradation envelope of SMA-16 mixture in existing technical standard; aggregate gradation becomes finer with the increasing of D; there is a good linear relation between D and volume parameter such as volume of air voids, voids in mineral aggregate and voids filled with asphalt.