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