Abstract: By simulating the sliding face with point contact, a numerical method for slope stability analysis with a prescribed sliding plane is proposed combining with the FEM and strength reduction theory. For a specific slope, the shear and normal forces of the sliding plane are represented by the forces of the shear and normal springs. Combined with the theory of strength reduction and the Mohr-Coulomb strength criterion, numerical results can be obtained by iteration of the spring stiffness under equilibrium condition. Compared with limit equilibrium method, the present method avoids the limits due to the slice-force assumption. Compared with shear strength reduction method in a finite element model, the present method overcomes the sliding piles and the convergence difficulty. The present method can provide body stress, boundary force and stability coefficient under limit state. The amplitude, direction and action point of the landslide thrust on an arbitrary section of the landslide, can also be obtained under a given safety factor. The present method, with strict theoretical basis, provides some guidance to landslide harness in practical engineering applications.

Key words: landslide stability, landslide thrust, the force of sliding face, point contact, strength reduction theory