不连续应力边界土压力的严密解法

基于上下限定理的推论,分析了不连续应力边界下土体中不连续应力场和速度场特征。根据应力不连续线和速度不连续的性质,在考虑有重土、土和墙体摩擦情况下,通过数值计算,解三类边值问题。求得墙后土体在表面受不连续荷载时,挡土墙绕基底转动下土体的静力场,同时对对应的机动场进行分析,找出了满足所有速度边界条件和静力边界条件的应力场,得到绕墙基转动下挡土墙土压力的严密解。算例表明:文中求解极限平衡问题真解的算法是可行的。

Rigorous solution of earth pressure under discontinuous stress boundary

The characteristics of discontinuous fields under discontinuous stress boundary were analyzed.Based on the deduction of the upper and lower bound theorems,the mechanical model was established,and the efficient numerical method was presented.By solving three kinds of boundary-value problems,the stress fields and the related velocity fields were obtained.The weight of soil and the friction between soil and retaining walls were taken into account in this course.The stress fields were satisfied with the velocity boundary of retaining walls rotating around the base.The rigorous earth pressure contribution was obtained at the same time.It was shown by the computated results that the proposed approach could be used to solve the limit equilibrium problem.