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

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.