A smooth particle dynamics method considering material point failure for crack propagation simulation applied in rock mechanics

Numerical simulation of rock fracture mechanics has been a major research interest and challenging area in the field of rock mechanics. Based on this background, a smooth particle dynamics numerical simulation method (RGIMP) is proposed to consider the failed material point. The RGIMP algorithm is simple in form, does not need to use multiple velocity fields, takes advantage of the stability of the GIMP itself, and simulates the brittle fracture process of the rock by the failure process of the material point, and the resulting cracks are displayed. The accuracy of the RGIMP algorithm was verified via uniaxial compressive numerical simulations of a single-cleft standard cube specimen, a double-cleft standard cube specimen, and a double-cleft Brazilian disk specimen. Our research results provide a reference for the application of smooth particle dynamics methods in rock mechanics engineering and an understanding of rock fracture mechanisms.