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Baker提出非线性破坏准则是一种广义的岩土体强度准则,常规的M-C强度准则、格里菲斯强度准则以及Hoek-Brown强度准则均为其特例。该文应用Baker非线性破坏准则,研究了高切坡稳定性判识、超前支护桩加固以及加固高切坡的地震屈服加速度和永久位移计算的极限分析方法。根据上限定理进行推导,分别建立了安全系数以及屈服加速度系数与多个变量的函数,将相关问题转化为含有多变量的数学优化问题并给出了最优解。结果表明:切坡方式对高切坡稳定性、超前支护桩加固荷载有显著影响,对已加固高切坡的屈服加速影响较小。
Baker proposed that the nonlinear failure criterion is a generalized criterion for rock-soil strength. The conventional M-C strength criterion, the Griffith strength criterion and the Hoek-Brown strength criterion are all special cases. In this paper, Baker nonlinear failure criterion is applied to study the limit analysis method of high cut slope stability identification, advanced supporting pile strengthening and seismic buckling acceleration and permanent displacement calculation of high shear slope. According to the upper bound theorem, the safety factor, yield acceleration coefficient and multiple variables functions are respectively established. The related problems are transformed into the mathematical optimization problem with multivariable variables and the optimal solution is given. The results show that the slope cutting method has a significant effect on the stability of high cutting slope and the reinforcement load of the advanced supporting piles, and has little effect on the yield acceleration of the strengthened high cutting slope.