This paper focuses on the modeling and optimization of the physical and mechanical properties of self-compacting concrete (SCC), prepared using the modified packing model design, taking into consideration sand’s particle size distribution (PSD) and fineness modulus (FM). The optimization is predicated using the response surface methodology. The analysis of variance is exploited to determine the statistical significance of the PSD on the studied properties of SCC. For that, we studied twenty-four SCC mixtures, using three kinds of sands with different FM and particle shapes: dune sand, river sand, and crushed sand. The results show that PSD properties of used sand, despite its shape, are good predictors for SCC fresh properties, but less predictive for compressive strength. The multi-response optimization allowed the estimation of sand’s PSD parameters that give the optimal physical and mechanical properties of SCC, with an overall desirability of 0.923.

本文重点研究了使用改进的填料模型设计制备的自密实混凝土（SCC）的物理和机械性能的建模和优化，同时考虑了砂的粒度分布（PSD）和细度模量（FM）。使用响应面方法对优化进行预测。利用方差分析来确定PSD对SCC研究特性的统计意义。为此，我们研究了二十四种SCC混合物，使用了三种具有不同FM和颗粒形状的沙：沙丘沙，河沙和碎沙。结果表明，用过的沙子的PSD性能（尽管形状）可以很好地预测SCC的新鲜性能，但抗压强度的预测性却较低。