Abstract:Up to now,there is no three-dimensional limit equilibrium method that is able to satisfy all six equilibrium conditions. While formulating the equilibrium conditions,the whole sliding body is taken as the loaded object. By means of remedy of the total normal pressures acting on the slip surface,a rigorous limit equilibrium method for the three-dimensional stability analysis of slope is realized,which satisfies all the six equilibrium conditions and accommodates to slip surfaces of any shape. The system of equations herein formulated enjoys excellent numerical properties. Its Newton method is independent of the choice of the initial iteration values. The existence of solution is proved theoretically. In case of internal friction angle j = 0°,moreover,that the solution is unique is also proved;and an explicit expression for safety factor is given. Meanwhile,in order to simplify the preprocessing and to improve the precision of the analysis,the volume integrals over the sliding body are transformed into the boundary integrals. The division of the sliding body is accordingly unnecessary.