Applying upper bound theorem and strength reduction method

a new approach for slope back analysis is proposed. This method is based on the location of slip surface

not the displacement and stress. The relationship between the location of critical slip surface and strength parameter is analyzed. When the geometry

unit weight

pore pressure of a homogeneous soil slope are given

and cohesion the critical slip surface was only related to expression with cohesion and friction angle . Thus

the slope strength parameter can be back analyzed through slip surface depth and the dimensionless parameter is introduced on that basis. The formulation of slope slip surface is obtained by upper bound theorem of limit analysis and strength reduction method. Calculation formula for critical slip surface is presented and the relationship between the slip surface depth at a certain position and the magnitude of is built. The existing slope engineering example is tested

and the effectiveness of this method is showed.