Sub-Homogeneous Peridynamic Model for Fracture and Failure Analysis of Roadway Surrounding Rock

The surrounding rock of roadways exhibits intricate characteristics of discontinuity and heterogeneity. To address these complexities, this study employs non-local Peridynamics (PD) theory and reconstructs the kernel function to represent accurately the spatial decline of long-range force. Additionally, modifications to the traditional bond-based PD model are made. By considering the micro-structure of coal-rock materials within a uniform discrete model, heterogeneity characterized by bond random pre-breaking is introduced. This approach facilitates the proposal of a novel model capable of handling the random distribution characteristics of material heterogeneity, rendering the PD model suitable for analyzing the deformation and failure of heterogeneous layered coal-rock mass structures. The established numerical model and simulation method, termed the sub-homogeneous PD model, not only incorporates the support effect but also captures accurately the random heterogeneous micro-structure of roadway surrounding rock. The simulation results obtained using this model show good agreement with field measurements from the Fucun coal mine, effectively validating the model's capability in accurately reproducing the deformation and failure mode of surrounding rock under bolt-supported (anchor cable). The proposed sub-homogeneous PD model presents a valuable and effective simulation tool for studying the deformation and failure of roadway surrounding rock in coal mines, offering new insights and potential advancements.