Abstract: A new numerical approach is proposed to simulate bolt supporting by considering interactions among anchor plate, anchor arm and rock based on the analysis of traditional load transfer mechanism of the bolt. The effects of concentrated stress from one bolt on the surrounding rock are investigated by employing analytical integral of Kelvin’s solutions. The displacements equations of the anchor free section and the relative section of drilling holes are established according to the same displacements of them along the axis of anchor arm. Coupled with the previous 3D fictitious stress method (FSM) system, a new boundary element simulation system is formed completely on the partially grouted bolt supporting by considering anchor plate, which can be applied to calculate the stress and displacement of an arbitrary point in the rock after bolting. The reliability of the system has been verified by a comparison of numerical results obtained by a commercial software Flac3D. Meanwhile, a multi-core parallel improvement in terms of OpenMP is conducted to improve the operation efficiency. The principal ideas and the comparison chart of speedups are presented in detail. The system has great application value in the course of advantages of boundary element such as simple modelling, large computable domain and high accuracy.

Key words: fictitious stress method (FSM), bolt supporting, kelvin’s solutions, pre-tightening force, OpenMP