外文資料翻譯--分形維數(shù)與瀝青混凝土力學(xué)性能之間的關(guān)系(存儲版)
【正文】 influence of fractal dimension on mechanical properties of asphalt flow of asphalt concrete decreases and Marshall Stability increases when the fractal dimension of aggregate increases Keywords: Fractal dimension, asphalt concrete, Marshall Stability, flow, aggregate 1. Introduction The importance of the shape of aggregate particles on their mechanical behavior is also well recognized. In asphalt concrete, the shape of aggregate particles affects the durability, workability, shear resistance, tensile strength, stiffness, fatigue response, and optimum binder content of the mixture [1]. The successful quantification of aggregate geometric irregularities is essential for understanding their effects on pavement performance and for selecting aggregates to produce pavements of adequate quality [2]. Aggregate morphological characteristics are very plex and cannot be characterized adequately by any single test. As a result, conflicting results have been reported on how aggregate shape influences the quality of HMA mixtures [39]. Due to their irregularity, the shape of aggregates is not accurately described by Euclidian geometry. Fractals are relatively new mathematical concept for describing the geometry of irregularly shaped objects in terms of frictional numbers rather than integer. The concept of fractals introduced by Mandelbrot [10], which has the shape formed in nature, has been usually analyzed using Euclidian geometry. The key parameter for fractal 1 analysis is the fractal dimension, which is a real noninteger number, differing from the more familiar Euclidean or topological dimension. The fractal dimension for a line of any shape varies between one and two, and for a surface between two and three. Fractaltheory uses the concept of fractal dimension, DR, as a way to describe the shape of aggregates. In recent years, fractal geometry techniques have found widespread applications in many disciplines, including medicine, biology, geography, meteorology, manufacturing, and material science. Relatively, there have been a few applications of fractal geometry in civil engineering. Some studies have been devoted to developing procedures to determine the particle fractal dimensions [1117]. Others have focused on the effect of fractal dimension of aggregate on engineering properties of soils [18, 19] and asphalt concrete [20, 21]. However, there is no prehensive study that investigated the effect of aggregate fractal dimension to the Marshall stability, flow, and Marshall Quotient (MQ). Consequently, the present study was undertaken to verify whether there is a relationship between the fractal dimension (DR) and the mechanical properties of asphalt concrete. 2. Materials and Methods The bitumen used was AC20 bitumen. Crushed Basalt was used as the aggregate material. A typical heavy traffic gradation for hot mix asphalts (HMA), designated as Type I in the Turkish State Highway Specifications, and was selected. The Marshall stability and flow tests were carried out following the procedure of the Test Method for Resistance of Plastic Flow of Bituminous Mixt
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