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采用楔形体与椭球滑面算例,研究了三维极限平衡法中滑面正应力近似方法对其计算结果的影响。使用线性插值近似滑面修正应力时,插值节点和网格数目的改变未对安全系数造成明显影响,但明显改变了修正应力的计算结果,网格交界处的修正应力易出现突变。采用移动最小二乘近似滑面修正应力后,安全系数基本不变,并且相对于线性插值,能在求解更少未知量的情况下获得更有规律的修正应力分布。算例表明,在采用线性插值和移动最小二乘近似计算滑面修正应力的情况下,安全系数基本不随滑面正应力的改变而变化,这与二维极限平衡法的相关研究结论基本相同,显示三维极限平衡法满足了平衡条件和合理性条件。
Using wedge and ellipsoidal sliding surface examples, the influence of the approximate normal stress of the sliding surface in three-dimensional limit equilibrium method on the calculation results was studied. When using linear interpolation to approximate the slip surface to correct the stress, the change of interpolation nodes and grid number did not significantly affect the safety factor, but significantly changed the calculation results of the correction stress. The correction stress at the grid junction would easily change suddenly. After the stress is corrected by the moving least square approximation slip surface, the safety factor is basically unchanged, and more regular correction stress distribution can be obtained with less unknowns than with linear interpolation. The results show that the safety factor does not change with the change of the normal stress of the sliding surface when the sliding surface correction stress is calculated by linear interpolation and moving least square approximation, which is basically the same as that of the two-dimensional limit equilibrium method. Show three-dimensional limit equilibrium method to meet the balance conditions and rationality conditions.