极限平衡分析的精确解法与国内外几种常用计算方法的分析比较

Accurate Solution Method of Limit-equilibrium Analysis and Comparison of Common Calculation Methods at Home and Abroad

在建立了任意型态的边坡面与滑动面普遍表达式后,针对圆弧型滑动,根据Mohr-Coulomb破坏准则,推导出了沿滑动面上的正应力σ与剪应力τ的精确积分式(取名"精确解法")。结合新疆蒙库铁矿实例,比较了精确解法与国内外常用的几种方法(包括Ordinary(常规法)、Bishop、Janbu、Spencer、Morgenstern-Price、GLE(通用极限平衡法)),并将精确解法的最小安全系数与包括精确解法在内的7种方法的最小安全系数取平均值相比较,发现精确解法的最小安全系数与7种方法取平均值的最小安全系数比较接近。故此认为精确解法的结果可以在工程中放心使用。

Based on the general expressions established for any type of sloped surface and sliding surface, the accurate calculus expressions of normal stress （Qr） and shear stress （T） along the circle sliding surface were deduced according to Mohr-Coulomb failure criterion. With Mengku Iron Open Pit Mine in Xinjiang as a practical example, the comparison was conducted among accurate solution and several common methods used at home and abroad （including Ordinary, Bishop, Janbu, Spencer, Morgenstern-Price and GLE methods）. The minimum safety factor obtained with accurate solution was compared with the average minimum safety factor with seven common methods including accurate solution. It is found that the minimum safety factor of slope obtained with accurate solution method is closer to the average value of all seven minimum safety factors, showing the accurate solution method can be satisfactorily used in practical engineering.