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

Abstract

The numerical simulation of rock fracture mechanics has been a major research hotspot 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 efficient computational efficiency and 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 display cracks. The accuracy of the RGIMP algorithm proposed in this paper was verified by uniaxial compressive numerical simulations of single-cleft standard cube specimen, double-cleft standard cube specimen, and double-cleft Brazilian disc specimen. The research results provide a certain reference for the application of smooth particle dynamics methods in rock mechanics engineering and understanding of rock fracture mechanisms.