基于任意级配的二维随机骨料生成方法

Simulation method of random aggregate in two dimension based on arbitrary gradation

摘要:

为解决目前二维骨料生成算法对任意级配适应性较差的问题，通过对三维骨料模型截面上二维骨料粒径分布的统计分析建立了一种可用于确定任意级配的二维骨料质量积累分布函数的数值方法，并利用Fuller级配从理论上对该方法的正确性进行了论证。在此基础上，从降低需模拟的骨料数目、提高细观模型生成效率的角度对目前的混凝土细观模型进行了再细化，提出了亚细观模型的概念，并利用上述方法模拟得出工程中常见的细骨料和粗骨料的二维骨料质量积累分布函数。

Abstract:

In order to solve the problem that the present simulation methods of two-dimensional random aggregate are difficult to be applied in arbitrary gradation, this paper establishes a numerical method which can be used to determine the mass cumulative distribution function (CDF) of two-dimensional aggregate for arbitrary gradation on the basis of a statistical analysis of the diameter of aggregate on the cross sections from three-dimension model. This method is theoretically verified with the Fuller’s gradation. Based on this method, the current concrete meso-scale model is refined and a concept of sub meso-scale model is proposed to decrease the number of simulated aggregates and increase the construction efficiency of meso-scale model. Furthermore, some common aggregate gradations for fine and coarse aggregate in practical engineering are studied, and their corresponding two-dimension aggregate mass CDFs are obtained.