Slip surface tracking based on displacement gradient field at limit state
The finite element strength reduction method is a commonly used method for slope stability analysis,but it cannot directly obtain the sliding surface.Based on the assumption that the shear direction is perpendicular to the displacement gradient when shear failure occurs on the slope,this paper proposes a sliding surface tracking method based on the displacement gradient field.After obtaining the displacement modulus gradient field of the slope at limit state,the maximum displacement modulus gradient point is taken as the starting point,and the slip surface is tracked along the shear direction by the Euler's method.The maximum value of the gradient of the displacement modulus is obtained on the slip surface,and the position of the slip surface is corrected to accurately determine the position of the entire slip surface.Finally,the reliability of the method is verified by the calculation examples of homogeneous slope,horizontal weak intercalated slope,and inclined weak intercalated slope.