Abstract: A large number of high and steep slopes and sunken open-pit pits are formed in open-pit mining. Affected by the regional environment， various production disturbances during the mining process may cause landslides， rolling rocks and other phenomena， threatening production safety.Based on the related theories of high and steep slope stability analysis， the geological conditions of the engineering is comprehensively analyzed， and a numerical model is established for slope stability analysis.Combined with the explicit-implicit calculation method， the LS-DYNA software is used to simulate the high slope blasting layout of the open-pit mine， and the unique solvability， unconditional stability and convergence of the calculation results are realized.The combined effect of static force field stress migration and dynamic disturbance is analyzed through the time-varying mode， and the dynamic and static coupling mechanics response law analysis is carried out for the influence of disturbance.The study results show that: ①The unloading mechanical behavior occurs when the overlying rock layer is peeled off on the slope surface and steps of the slope. The vibration speed of the slope top area is high， which will cause the gravel to roll off the slope top during production， which needs to be carefully monitored.②In engineering blasting， the greater the amount of explosives， the plastic range will increase proportionally. The deformation of the unit with larger blasting center distance is obviously affected by in-situ stress，and the initial disturbance effect is triggered by the blasting power.③According to the analysis of the dynamic strength of blasting with different charge， in order to reduce the shock and disaster， the optimal charge blasting should be maintained as much as possible， or the pre-split blasting method should be adopted to weaken the impact of blasting vibration on the surrounding environment.By completing the optimization study on the stability of high and steep slopes in open-pit mines， the time-history analysis of slope stability based on dynamic and static load reduction is realized， which can provide a reference for the prediction of mining disturbances in open-pit mines.

Key words: high-steep slope, explicit-implicit combination, dynamic response, engineering stability