Permanent Displacement of Slopes Considering Horizontal and Vertical Ground Motions Based on the Tensile-Shear Sliding Mode

The upper surface of slopes to tension failure under the action of earthquakes. The tensile-shear sliding mode of slopes under the action of earthquakes is constructed using upper bound limit analysis by introducing the improved Mohr–Coulomb failure criterion. The expression of the safety factor is obtained, and the effects of the seismic force and tensile strength on the critical sliding surface of the slope are analyzed. Based on this, the traditional Newmark sliding block method is improved, and an energy consumption calculation model of the permanent displacement of slopes based on real horizontal and vertical ground motions is established considering the tensile-shear sliding mode. Taking typical ground motion records as examples, the influence of tensile strength on the permanent displacement of slopes is explored. In addition, the stability evaluation of the Donghekou landslide is carried out using the method presented in this paper. The results show that with an increase in tensile strength, the tensile failure depth decreases significantly, and the slope is prone to tensile failure under horizontal seismic action. Furthermore, the tensile strength has a significant impact on the critical sliding surface and slope stability, and its effect is related to the various seismic ground motions.