挡土墙被动土压力的滑移线解  

Slip-line solution to passive earth pressure on retaining walls

作　　者：彭明祥[1] 

机构地区：[1]广东省电力设计研究院,广东广州510663

出　　处：《岩土工程学报》2011年第3期460-469,共10页Chinese Journal of Geotechnical Engineering

摘　　要：基于极限平衡理论,视墙后填土为服从Mohr-Coulomb屈服准则的理想弹塑性材料,并且假定它是各向同性的、均匀的以及不可压缩(膨胀)的理想连续介质。引进了应力奇点及其应力边界条件,建立了静定可解的极限平衡边值问题数学模型,而不必考虑土的应力–应变关系,采用滑移线法求解了墙后塑性区的滑移线场和应力场,进而求解了挡土墙被动土压力和滑裂面土反力。通过无量纲分析,提出了几何力学相似原理。数值分析表明,被动土压力的滑移线解一般总是小于或等于库仑解,经典朗肯土压力或满足非奇异条件的经典库仑土压力与滑移线解一致,Hencky第一定理和第二定理不具有普遍适用性。Based on the limit equilibrium theory,the backfill is treated as a perfectly elastic-plastic material which follows the Mohr-Coulomb yield criterion,and is assumed to be an isotropic,homogeneous and incompressible（or non-expansive） perfectly continuous medium.The stress singularity and its stress boundary condition are introduced,and a statically determinate and solvable mathematical model for the limit equilibrium boundary value problem is established without considering the stress-strain relationship.Then the slip-line field and stress field in plastic zone of the backfill are solved by use of the slip-line method,furthermore,the passive earth pressure on retaining walls and the reaction on slip surfaces are derived.Geometric and mechanical similarity principle is presented by means of dimensionless analysis.The results show that the slip-line solution to the passive earth pressure is generally less than or equal to the Coulomb＇s solution,and the classical Rankine＇s earth pressure or the classical Coulomb＇s earth pressure satisfying non-singularity condition is in accordance with the slip-line solution,and the Hencky＇s first theorem and second theorem are not generally applicable.

关 键 词：挡土墙 被动土压力 滑移线解 应力奇点 无量纲分析 相似原理 

分 类 号：TU432[建筑科学—岩土工程]