Modeling wave propagation induced fracture in rock with correlated lattice bond cell

• A new lattice modeling method for rock is proposed.
• The characteristics of mesostructure of rock are accounted in this lattice model.
• The variable Poisson ratios can be represented by this lattice model.
• The stress wave propagation and the induced fracture in rock can be well simulated.

The correlated lattice bond cell model (CLBC) is used to account for the characteristics of the mesostructure of rock. Each mineral grain is modeled as a discrete unit bond cell. A linear modified Stillinger–Weber potential is adopted to characterize the unit bond cell. By this method, the lattice model can not only represent the variable Poisson ratio, but can also simulate more complex fracture behaviors than the two-body interaction-based lattice model. It can precisely simulate the stress wave propagation in rock with different Poisson ratios. With a simple bond rupture criterion, the spalling fracture induced by stress wave is well simulated. To represent the heterogeneity of rock, the moduli of bond cells are assumed to be random, following a Weibull distribution. The simulation results demonstrate that the distinct spalling fracture is likely to initiate in a hard rock subjected to impact load, but not in a soft rock. The heterogeneity has little effect on the spalling fracture.