基于极限状态位移梯度场的滑动面追踪

Slip surface tracking based on displacement gradient field at limit state

有限元-强度折减法是常用的边坡稳定性分析方法,但无法直接获得滑动面。基于边坡发生剪切破坏时剪切方向与位移梯度垂直的假设,提出基于位移梯度场的滑动面追踪方法。在获取边坡极限状态位移梯度场后,以最大位移梯度点作为起始点,沿剪切方向,采用欧拉法对滑面进行追踪,并以位移梯度的大小在滑面上取得极大值对滑面进行修正,从而准确确定整个滑面的位置。最后,通过3种边坡的算例,验证该方法的可靠性。

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.