Physically explicable mathematical model for strength prediction of UHPFRC

•Extensive UHPFRC mixtures acquired from the literature were analyzed.•Key factors affecting the strength of UHPFRC mixtures were discussed.•Mathematical and ANN models for strength of UHPFRC was established. This paper presents a quantitative analysis of the mechanical performance of ultra-high performance fiber-reinforced concrete (UHPFRC). UHPFRC shows great potential in the construction of the cities of tomorrow. However, establishing empirical formulas by incorporating existing data for the practical engineering design of UHPFRC remains a problem. To advance the understanding of UHPFRC, this paper qualitatively and quantitatively studied UHPFRC with an emphasis on its strength. Utilizing abundant data consisting of 111 different UHPFRC mixtures in literature, the key factors governing the strength of UHPFRC, e.g., the volumetric ratios and types of paste, aggregate, fibers and filler, were identified. Based on the key factors, a robust mathematical model for the strength prediction of UHPFRC was established. In addition, an artificial neural network model was constructed. This study shall provide useful guidelines for the mix design of sustainable and resilient UHPFRC.