Structure and validation of an generalized logarithmic spiral slip surface model
The reasonable determination of the critical slip surface is one of the key issues in slope stability analysis,but the potential slip surface form generated by the traditional slip surface assumption method is monotonous and cannot consider the influence of the parameter variation between different soil layers on the shape of the slip surface in complex slopes,which reduces the reliability of slope stability analysis results.Therefore,a new generalized logarithmic spiral slip surface model was proposed in this paper,which could generate various forms of potential slip surfaces including traditional circular slip surfaces and logarithmic spiral slip surface.The model was applied to heterogeneous slope stability analysis by adopting a multi-center segmental construction strategy for different shear strengths of each soil layer of heterogeneous slopes.Based on the limit equilibrium theory,the factor of safety(FOS)of the slip surface was calculated and the critical slip surface was searched to evaluate the stability of the slope.Several homogeneous slopes and various types of heterogeneous slopes(horizontally stratified,inclined stratified and diagonally folded stratified)were selected for comparison and analysis with the results obtained from existing research results and numerical simulation software to verify the rationality and advantages of the slip surface model.The results show that the FOS calculated by this method in this paper are smaller than the previous research results,and it can obtain the slip surface which is difficult to be found by the traditional method,and the relative error is within 5%.It can get the critical slip surface which is difficult to search under the traditional slip surface assumption method,and it is in good agreement with the numerical simulation results,and the stability analysis results are closer to the actual situation.This shows that this method is reasonable and feasible for stability analysis of homogeneous slopes and heterogeneous slopes,and it is expected to provide better critical sliding surface solutions for engineering practice.