摘要：根据Dinger-Funk(D-F)方程确定的最紧密堆积模型设计水泥浆体组成材料粉体的配合比,用相关系数和欧式距离表征实际配比中粉体粒径分布与D-F方程的接近程度。采用压汞法(MIP)测试水泥浆体的孔结构,分析欧式距离和孔体积分形维数之间的相关性及二者对抗压强度的影响。结果表明:欧式距离与分形维数之间具有较高的相关性,相关性为85.36%;当欧式距离从85.65减小至57.42时,分形维数从3.17增大到3.21,抗压强度增大,最大增幅为27.77%;当欧式距离从57.42减小至37.61时,分形维数从3.21减小到3.03,抗压强度的增长幅度不明显。

关键词：D-F 方程；孔结构；欧式距离；分形维数；抗压强度

Abstract：The powders mixture proportions of cement paste composition materials were designed based on the maximum density theoretical model determined by Dinger-Funk equation(hereafter referred to as D- F equation). The correlation coefficient and Euclidean distance were used to characterize the level of similarity between actual mixture proportions and D-F equation about powder particle size distribution. The pore structure of cement paste was tested by mercury intrusion porosimetry(MIP). The relationship between Euclidean distance and fractal dimension of pore volume, as well as the effect of them on compressive strength was analyzed specifically. The results show that Euclidean distance has high correlation with fractal dimension, the correlation is 85.36%. When Euclidean distance decreases from 85.65 to 57.42, fractal dimension increases from3.17 to 3.21, the compressive strength shows a trend of increase and obtains a maximum incremental of 27.77%. But when Euclidean distance decreases from 57.42 to 37.61, fractal dimension decreases from 3.21 to 3.03 and the growth of the compressive strength is not obvious.

Keywords: D -F equation；pore structure；Euclidean distance；fractal dimension；compressive strength