Hybrid lattice particle modeling of wave propagation induced fracture of solids

This paper presents a discrete dynamic fracture model, hybrid lattice particle modeling (HLPM), and its applications in the wave propagation induced fracture problems of solids. The HLPM is established based on a combination of the first author’s prior particle modeling (PM) technique with the conventional lattice modeling (LM) theory. The HLPM has the robustness of simulating the dynamic fragmentation of solids under high strain rate loadings at macro-scales with a varying Poisson’s ratio. In this paper, first, the wave propagation in 1D and 2D homogenous materials with HLPM is modeled and the obtained results are validated by a comparison with the analytical solutions; then, two HLPM simulations of the wave propagation induced fracture, spall cracks, due to hyper-velocity impact and blasting, are completed. In the impact case, spall crack formation due to hyper-velocity impact is captured, and the HLPM results are in good agreement with the analogous molecular dynamics (MD) simulations by Krivtsov (1999) [27,28]. Moreover, a functionally designed infrastructure material coated with a high strength layer, but with different coating strengths at the interface, is also investigated to find out the protective effect of material from spallation. The modeling results demonstrate that prevention of a material from spallation under extreme loadings is difficult; it needs the coating material with a super strength. In the blasting study, the fracturing efficiency associated with different spatial explosive setup is investigated. This will benefit the explosive fracturing applications.