【摘要】 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.更多还原

【Abstract】 Most conventional calculations of active earth pressures are based on the linear Mohr-Coulomb failure criterion.However,experimental data show that almost all geo-materials follow nonlinear failure criterion,while the linear failure criterion is one special case of the former.The active earth pressures on the rigid walls subjected to seismic loads are estimated by using pseudo-static method in the framework of the upper bound of limit analysis with the nonlinear failure criterion.A mobilized internal friction angle as an intermediate variable is introduced by the tangential technique.The objective functions are obtained by equating the work rate of external force to internal dissipation along the velocity discontinuities.Then,the upper bound solutions are presented by applying a nonlinear sequential quadratic programming algorithm.The solutions of seismic active earth pressures are compared with ones of the existing literatures in order to prove the validity of the numerical results of limit analysis,which show that active earth pressure will increase in a nonlinear way by increasing the horizontal seismic coefficient,and the nonlinear coefficient also have much significant influence on active earth pressure.更多还原