To analyze the stability of a laneway’s surrounding rock with single crack

the multi-domain boundary element method is used. The sub-regions are obtained by dividing the whole region along the crack. The boundary integral equation is established in each sub-region. The traction singular quarter-point elements are collocated at the tip of the crack. For the opened or closed crack

not only the characteristic of in displacement but also the characteristic of 1/ in stress near the crack tip are represented. Qua the target

the stress intensity factor is calculated. According to the theory of rock fracture mechanics

the influences of the following factors on the stability of the cracked surrounding rock are analyzed systematically: geometric position of the crack

the ration of dual-pressure

the friction factor of the crack surfaces

the length of the crack. Some valuable conclusions are obtained. This numerical method is suitable for the stability analysis of laneways with complex geometric shape and laneways in layered medium.