水泥基粉体颗粒群分形几何密集效应模型

目的用分形理论分析水泥及超细矿物粉体颗粒群的分形特征,建立水泥基粉体颗粒群分形几何密集效应模型.方法通过比较传统粉体最紧密堆积经典理论中的最大密度理想集配曲线,根据分形理论,推导粉体颗粒群密集效应模型,并与传统的Andreasen方程最紧密堆积模型比较.结果研究表明,当分形维数为2.515时,分形模型与传统的Andreasen方程中的U（Dp）=100（Dp/DpL）^1/2相符,当分形维数为2.697时,分形模型又与Andreasen方程中的U（Dp/DpL）=100（DpL）^1/3相吻合.结论水泥基粉体颗粒群分形几何密集效应模型是有效的,分形特征方程与Dinger-Funk方程结构是一致的,分形方程给出了指数的具体意义.传统Andreasen方程可以作为分形模型的特例.分形模型对进一步探索超细粉体对高性能混凝土材料密实效应的内在规律提供了重要的理论依据.

The Model of the Cementing Matrix Powder Group Fractal Geometry Denseness Effect

This paper uses the fractal theory to analyze the fractal characteristic of cement and superfine powdery mineral grain group.It compares the highest density perfect distribution curves of the conventional powder tightest accumulation classical theory based on the fractal geometry denseness effect model of the cement multiplex material's powder group.The study shows that the fractal models accord with the conventional Andreasen equation U(D_p)=100(D_P/D_(pL))~(1/2)when the fractal dimension is 2.515 and they accord with the conventional Andreasen equation U(D_p)=100(D_p/D_(pL))~(1/3)when the fractal dimension is 2.697.The conventional model is just a special example of the fractal models.Fractal models provide an important theoretic gist for the further exploration of the internal disciplinarian in which the superfine powdery material influences HPC closeness.