【摘要】 在边坡稳定安全系数求解中,与传统M-C(Mohr-Coulomb)准则相匹配的D-P(Drucker-Prager)准则有平面应变莫尔-库仑匹配D-P准则或者莫尔-库仑等面积圆D-P准则,但这些结论都建立在对边坡算例个别参数试算的基础上,具有"平均和综合"意义,对参数确定的具体边坡,从"平均"意义得出的匹配结论可能存在较大偏差。本文在前人研究基础上,提出了一种在DP系列准则间进行边坡稳定安全系数转换的新方法,即用π平面上D-P系列准则半径比值作为安全系数转换系数,并通过已有算例进行了验证。在此基础上,进一步提出基于内摩擦角φ取值点的D-P系列准则与M-C准则匹配方法,在算例演示中,只需将边坡取不同φ值时DP1准则和M-C准则计算得到的安全系数比值数据,加入内摩擦角～DP半径比值的二维空间,通过比较各曲线在相应φ值的竖向截距即可得到最佳匹配准则。更多还原

【Abstract】 On the solution of slope safety factors,the yield criterions matched to traditional Mohr-Coulomb criteria are Mohr-Coulomb matching Drucker-Prager yield criterion under the plane strain condition and equivalent area Drucker-Prager yield criterion.This conclusion is based on slope stability examples by changing some parameters such as internal frictional angle or slope angle which is "average and integra￣ted".To specific slope with definite parameter,matching conclusion obtained from the "average",sometime means a large deviation.Based on research of predecessors,a new transformation method of different Drucker-Prager yield criterion was put forward using ratios of D-P radii as conversion factor of safety factors under different Drucker-Prager yield criterion,which is verified by former examples.The matching method of D-P yield criterions to M-C based on value of the internal frictional angle was proposed.In examples demonstration,ratios of safety factors under Mohr-Coulomb hexagon circumcircle Drucker-Prager yield criterion(DP1) and M-C criteria vary with the value of the internal frictional angle.These numeri￣cal value of internal frictional angle and ratios was added to the two-dimensional space of internal frictional angle～ratios of D-P radii.Comparing the y-intercept under corresponding internal fri￣ctional angle among these curves can get the best matching yield criterion.更多还原