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大多数关于主动土压力的计算都是基于线性摩尔库仑准则.然而,实际上几乎所有的土体材料均遵循非线性关系,线性只是其中一个特例.根据非线性破坏准则,运用拟静态法考虑地震作用,利用极限分析上限定理求得主动土压力上限解.通过切线法原理引进中间变量,对墙后土体建立相容速度场,根据外力功率与内部能量耗散率相等的原理求出土压力的目标函数与约束条件,最后采用序列二次规划算法对该问题进行优化,得出主动土压力的最大值.将结果与已有文献进行分析比较,证明了该方法的可靠性.数值分析结果显示:随着水平地震系数的增加,主动土压力有非线性增大的趋势;非线性系数对主动土压力也有明显影响.
Most of the calculations for active earth pressure are based on the linear Mohr-Coulomb criterion. However, practically all soil materials follow a non-linear relationship and linearity is only one of the special cases. According to the criterion of nonlinear failure, the quasi-static method is used to consider earthquakes The upper bound solution of active earth pressure is obtained by using the upper bound theorem of limit analysis.The intermediate variable is introduced by the tangent method and the compatible velocity field is established for the soil behind the wall.The earth pressure is obtained according to the principle that external power and internal energy dissipation rate are equal Objective function and constraints, and finally, the quadratic programming algorithm is used to optimize the problem to obtain the maximum value of active earth pressure.The results are compared with the existing literature to prove the reliability of the method.The numerical analysis shows : As the horizontal seismic coefficient increases, the active earth pressure tends to increase nonlinearly. The nonlinear coefficient also has a significant effect on the active earth pressure.