TWO-DIMENSIONAL HOMOGENEOUS c-φ SLOPE STABILITY ANALYSIS CHARTS BASED ON MATERIAL POINT STRENGTH REDUCTION METHOD

Factor of safety(FOS) is an important parameter to evaluate slope stability. Two common methods used for evaluating FOS are the limit equilibrium method(LEM) and the finite element method(FEM). Since the stress-strain relationship is not considered,the LEM cannot truly reflect the development of stress field,displacement field and plastic zone during soil failure. On the other hand,although the constitute model is considered in FEM,it may suffer from nonconvergence problem due to grid distortion in the calculation process. To solve this problem,the strength reduction material point method(SRMPM) is proposed to evaluate the slope stability. The relationship between dimensionless soil parameters and FOS is subsequently constructed and plotted by different curves to obtain the stability analysis chart. This method can quickly and conveniently determine the FOS of slope without any iterative process. The reliability of the method is verified by four typical examples. The results show that the FOS calculated by the proposed chart is close to that calculated by other methods. The proposed method is conservative and effective.