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Development of Back-calculation Model for Aggregate Gradation Determination Using Fractal Theory

机译:分形理论在骨料级配确定反算模型中的应用

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Several studies have shown that fractal theory can be used to analyze the morphology of aggregate materials in designing the gradation. However, the question arises whether a fractal dimension can actually represent a single aggregate gradation. This study, which is a part of a grand research to determine aggregate gradation based on known asphalt mixture specifications, is performed to clarify the aforementioned question. To do so, two steps of methodology were proposed in this study, that is, step 1 is to determine the fractal characteristics using 3 aggregate gradations (i.e. gradations near upper and lower bounds, and middle gradation); and step 2 is to back-calculate aggregate gradation based on fractal characteristics obtained using 2 scenarios, one-and multi-fractal dimension scenarios. The results of this study indicate that the multi-fractal dimension scenario provides a better prediction of aggregate gradation due to the ability of this scenario to better represent the shape of the original aggregate gradation. However, careful consideration must be observed when using more than two fractal dimensions in predicting aggregate gradation as it will increase the difficulty in developing the fractal characteristic equations.
机译:多项研究表明,分形理论可用于设计级配时分析骨料的形态。但是,出现了一个问题:分形维数是否实际上可以表示单个聚合灰度。这项研究是根据已知的沥青混合料规格确定集料级配的一项大型研究的一部分,旨在阐明上述问题。为此,本研究提出了两个方法学步骤,即步骤1是使用3个聚合灰度(即上下边界附近的灰度和中间灰度)确定分形特征;步骤2是根据使用2种情况(一维和多分形维数情况)获得的分形特征对聚合灰度进行反算。这项研究的结果表明,多分形维数场景提供了更好的聚集体灰度预测,因为这种场景能够更好地表示原始聚集体灰度的形状。但是,在使用多个分形维数来预测聚合灰度时,必须仔细考虑,因为这会增加建立分形特征方程的难度。

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