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绕墙中转动刚性挡土墙极限土压力的严密解 被引量:2

RIGOROUS SOLUTION OF ULTIMITE SOIL PRESSURE AGAINST RIGID RETAINING WALLS
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摘要 分析刚性挡土墙绕墙中某点转动时,墙后土体中的不连续应力场。根据应力不连续线和速度不连续的特点,利用上限、下限原理,构建算法,通过解三类边值问题,求得在考虑有重土、土和墙体摩擦情况下,墙后土体在挡土墙绕墙中某点转动下土体的静力场。同时对对应的机动场进行分析,在众多的静力场中找出了满足转动的速度边界条件的应力场,得到绕墙中转动下挡土墙土压力的精确数值解。算例表明:同时利用上限、下限定理求解第一类极限平衡问题近似解的算法是可行的。 According to characteristics of stress discontinuous lines, the discontinuous stress field in soil caused by the retaining wall, which tends to rotate about some point in the wall, are analyzed. Based on the upper and lower bound theorems, the stress slide field was obtained by numerical calculations, and three kinds of boundary value problems are solved correspoindingly. In the analysis, the weight of soil and the friction between soil and the retaining wall were taken into account. Morover, the corresponding mobile fields were also obtained, and it is found the stress fields satisfy velocity boundaries of the retaining wall. At last, the rigorous distribution of soil pressure against rigid retaining walls was obtained, and the results of numerical calculation show that the approach of applying upper and lower bound theorems to solve the first kind of limit equilibrium problems is feasible.
出处 《工程力学》 EI CSCD 北大核心 2008年第11期173-178,共6页 Engineering Mechanics
基金 国家自然科学基金项目(50608038) 镇江市社会发展项目(SH2007074)
关键词 岩土工程 极限分析 滑移线 土压力 上下限定理 数值计算 geotechnical engineering limit analysis slip line earth pressure upper and lower bound theorems numerical calculation
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