Yang Xu1; Wang Fenglai1,2,3 and Chi Bin1

1 School of Civil Engineering Institute of Technology, Harbin 150090, China
2 Key Lab of Structures Dynamic Behavior and Control of the Ministry of Education, Harbin Institute of Technology, Harbin 150090, China
3 Key Lab of Smart Prevention and Mitigation of Civil Engineering Disasters of the Ministry of Industry and Information Technology, Harbin Institute of Technology, Harbin 150090, China

ABSTRACT
Concrete hollow block is one of the most widely used building materials. It is of great significance to simulate the meso-structure of block and describe the initial condition of aggregates. Based on the geometrical characteristics of concrete, it is considered that the fractal effect exists in the set of aggregates. Within this theoretical framework, the fractal dimension of the set of aggregates and cement are respectively defined. Furthermore, a mathematical model which describes the initial condition of concrete with the fractal dimension of aggregates is formulated. Moreover, an equivalent transferring method of concrete’s gradation is introduced. Based on the results, a method of meso-simulation for concrete hollow block is formed. The sieving curve, the percentage of aggregate’s volume in concrete, the weighted average grain-size and the fractal dimension are used as indicators. By comparing with specimens, the effect of simulation is verified, which shows that this method could meet the practical demand. On the basis of this generation algorithm, with the gradation of the aggregates affirmed, a systematic meso-simulation method for concrete block could be developed. Several implementations in the area of finite element analysis for future work are discussed.

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