A validation study of the Particle-based Numerical Manifold Method (PNMM) for wave propagation problems is performed. PNMM is proposed by introducing the concept of particle into the Numerical Manifold Method (NMM). PNMM has potential to simulate the microstructure and heterogeneity of rock materials. The stress wave propagation induced by explosion in a continuum is simulated first. Numerical results of the commercial code ABAQUS is selected as the reference. PNMM provides consistent results for the velocity history of selected points. Then, the stress wave propagation across a material interface is conducted. Simulation results are in good agreement with analytical wave velocities. Therefore, the capability of PNMM to simulate wave propagation is verified.


The prediction of wave attenuation across fractured rock masses is significant in geophysics, seismic wave investigation and rock protective engineering. Theoretical models are generally able to analyze the wave propagation across a single fracture (Zhao & Cai 2001) or a set of parallel fractures (Zhao et al. 2006). However, the distribution of rock joints can be quite complex in practice, and analytical methods will be difficult to be applied. Under such a circumstance, numerical methods could provide promising solutions for stress wave propagation in rock masses.

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