A particle-based numerical manifold method (PNMM) is developed in this thesis to simulate the dynamic fracturing of rock materials under different conditions, by introducing the particle concept into the numerical manifold method (NMM). The proposed method is first calibrated by modelling several fundamental problems. Then, the capabilities of PNMM are further demonstrated by two representative cases of dynamic rock fracturing, i.e. the rock scratch test and the spalling failure and rockburst in tunnels. Simulation results show that PNMM is capable of modelling the rock cutting in engineering practice and estimating the safety of underground openings in two dimensions.