土压力问题上限有限元分析  

UPPER BOUND ANALYSIS OF EARTH PRESSURE ON RETAIN WALL USING RIGID FINITE ELEMENTS

作　　者：姜朋明[1] 吕云霞[2] 梅国雄[3] 

机构地区：[1]南京理工大学理学院,南京210014 [2]江苏科技大学土木工程系,江苏镇江212003 [3]南京工业大学土木学院,南京210009

出　　处：《力学与实践》2008年第5期40-44,共5页Mechanics in Engineering

基　　金：国家自然科学基金(50608038).

摘　　要：将有限元方法引入到塑性极限分析中,采用刚体有限元离散挡土墙后土体计算区域,同时构造运动许可速度场,在满足屈服条件、流动法则、虚功方程以及相应的边界条件的基础上,建立约束方程,引入数学规划方法求解挡土墙在不同变位模式下极限土压力分布.算例说明了该方法的正确性和有效性.Rigid finite elements are used to construct a kinematically admissible velocity field. The objective function for determination of earth pressure contains some unknowns, subject to a set of linear constraints derived from the energy-work balance equation, the Mohr-Coulomb failure （yield） criterion, the associated flow rule and a number of boundary conditions. The objective function with constraints leads to a linear programming problem, which can be solved by an interior point algorithm. A classical earth pressure calculation case shows that the presented method is of valid.

关 键 词：极限分析 上限定理 土压力 线性规划 刚体有限元 

分 类 号：O344.5[理学—固体力学] TU476.4[理学—力学]