Improved probabilistic design method to quantify the fracture properties of roller compacted concrete

In this paper, the material parameters pertaining to fracture properties of Roller Compacted Concrete (RCC) were evaluated using the boundary element method (BEM). The fictitious crack growth length $\Delta a_{\text{fic}}$ is determined by the relative size $(T-a_0)/d_i$, while the individualized values of material parameters $(K_{\text{IC}}\&f_{\text{t}})$ of RCC for different water-to-cement ratios were obtained. In this study, the three-parameter Weibull fracture statistical model was proposed for the first time to analyze the discreteness of these individualized values of material parameters $(K_{\text{IC}}\&f_{\text{t}})$ of RCC. The statistical analysis minimum value of material parameters $(K_{\text{IC}}\&f_{\text{t}})$ of each group is obtained. The failure curves of each group of RCC were predicted from the three-parameter Weibull fracture statistical model, and the simple calculation model for material parameters $(K_{\text{IC}}\&f_{\text{t}})$ was validated. Further, a two-point design method was proposed for RCC material parameters $(K_{\text{IC}}\&f_{\text{t}})$ with varying strengths and water-to-cement ratios.