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分形是研究自然界中大量存在的统计自相似特征的新的理论工具,在描述和评价一些具有层次连续性、不规则性或随机性等特征的现象方面表现出很强的功能。不同级配曲线走向决定沥青混合料具有不同的抗剪性能。文章以AC-16Ⅰ混合料为例,在规范级配范围内选取10种代表性走向,根据分形理论定量计算这10种级配的分形维数,通过三轴试验及重复加载同轴剪切试验研究了集料不同分形维数对沥青混合料抗高温性能的影响规律,同时给出了抗剪强度和混合料剪切永久变形与分形维数D的回归关系式。
Fractal is a new theoretical tool to study the existence of a large number of statistical self-similar features in nature, and it shows great function in describing and evaluating some phenomena with the characteristics of hierarchy continuity, irregularity or randomness. Different grading curve to determine the asphalt mixture has different shear resistance. In this paper, taking AC-16Ⅰ as an example, ten representative trends are selected within the scope of specification gradation. The fractal dimensions of these ten gradations are quantitatively calculated according to the fractal theory. The triaxial tests and the repeated loading coaxial shear tests The influence of different fractal dimension of aggregates on the high temperature performance of asphalt mixture was studied. At the same time, regression formulas of shear strength and shear deformation of composite and fractal dimension D were given.