A phase-field model for blasting-induced failure and breakage analysis in rock masses

In this work, we propose a new phase -field formulation with dynamic JH2 constitutive model in the updated Lagrangian finite element framework for capturing the blasting -induced failure and breakage phenomena in rock masses. We innovatively formulate phase -field evolution by taking mechanical strengths and failure/breakage characteristics of rock materials at intact and residual states under dynamic loading conditions. We further develop new free energy decomposition strategy thermodynamically consistent with the known classical JH2 constitutive model for rock dynamic failure and breakage analysis. To obtain the stable solutions, we employ the staggered time integration strategy in dynamic equations of linear momentum balance and phase -field evolution. Several numerical examples are performed not only for quantitative and qualitative validation, but also for providing deep insights into the blasting -induced dynamic failure and breakage mechanisms of rock masses.