A mix-design method based on packing model was used to optimize the mix proportion of Reactive Powder Concrete (RPC) containing phosphorous slag in this paper. The design aimed to achieve a densely compacted matrix by applying the modified Andreasen particle packing model, i.e., the Dinger-Funk particle size distribution (PSD) equation. MATLAB and Excel Solver Tool were utilized to implement the calculation of the design with four steps. The outcome of the design was quite similar to another two results obtained respectively through the method for minimum water demand of paste and through the orthogonal design for mix proportion of RPC. According to these three mix proportions, RPC specimens with volume fraction of steel fiber of 1% were produced after they had been cured in 95°C steam for 72 hours. Their compressive and flexural strength are more than 180 MPa and 28 MPa, respectively. Microstructural investigation of specimens through mercury intrusion porosimetry and scanning electron microscopy confirms the very low porosity and quite compact microstructure of the RPC.

本文采用基于填料模型的配合比设计方法，对含磷矿渣的活性粉末混凝土（RPC）配合比进行优化。该设计旨在通过应用改进的Andreasen颗粒堆积模型（即Dinger-Funk粒径分布（PSD）方程）来获得致密的基质。利用MATLAB和Excel Solver Tool通过四个步骤来实现设计的计算。设计的结果与分别通过最小化糊剂需水量的方法和通过正交设计RPC的混合比例获得的另外两个结果非常相似。根据这三个混合比例，在95°C蒸汽中固化72小时后，生产出钢纤维体积分数为1％的RPC标本。它们的抗压强度和抗弯强度分别超过180 MPa和28 MPa。通过压汞法和扫描电子显微镜对标本进行显微组织研究，证实了RPC的孔隙率非常低且组织非常紧凑。