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Conventional fictitious stress methods (FSM) employ numerical integration to calculate displacements or stresses on each element unit. The paper represents a kind of three-dimensional fictitious stress method adopting analytical integrals over triangular leaf elements instead of numerical integration and presents how to analyze stress and displacement of surrounding rock around roadway by the 3D-FSM. The results computed by it are compared with the results by Flac3d, which proves that it is a correct and rational method to solve three-dimensional mechanics problems especially about hole and crack in an elastic body.

Application of 3D-FSM Boundary Element Method in Stress and Displacement Analysis of Roadway