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临坡双层粘土地基极限承载力的上限分析 被引量:8

Upper Bound Solution for Ultimate Bearing Capacity of the Two-layer Clay Foundation Adjacent to Slope
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摘要 在现有研究基础上,结合临坡条形基础双层粘土地基临近边坡的非对称性特征和层状地基特征,构建出临坡条形基础双层粘土地基的多滑块组合单侧滑移破坏模式;根据速度相容关系和速度三角形闭合条件,确定出多滑块离散模式相对应的机动允许速度场;引入上限极限分析理论,导出临坡条形基础双层粘土地基极限承载力计算模型,在此模型上采用序列二次规划算法进行优化求解,建立了临坡条形基础双层粘土地基极限承载力确定方法.利用Matlab的符号运算功能和优化函数编程计算进行实例分析,并与有限元数值计算结果进行对比分析,表明了本文研究方法的可行性与合理性. Combined with the characteristics of the asymmetry failure mode of the twoqayer clay foundation near slope and layered properties, the unilateral sliding failure mode of two-layer foundation under strip footing adjacent to slope was built on the basis of the existing relevant researches. The failure mechanism was formed by many sliders. According to speed compatible relationships and triangle closed condition, the corresponding planar kinematically admissible velocity field was constructed. By introducing the upper limit analysis theory, the ultimate bearing capacity calculation model of strip footings over two-layer foundation soil was derived. A new approach for determining the ultimate bearing capacity of two-layer foundation under strip footing adjacent to slope was put forward by using sequential quadratic programming optimization algorithm. By the use of Matlab symbolic operation function and optimization function, the finite element numerical analysis results were analyzed and compared with programmed calculation. The feasibility and rationality of the proposed approach was shown.
出处 《湖南大学学报(自然科学版)》 EI CAS CSCD 北大核心 2016年第1期110-116,共7页 Journal of Hunan University:Natural Sciences
基金 国家自然科学基金资助项目(51378198) 高等学校博士学科点专项科研基金资助项目(20130161110017)~~
关键词 临坡地基 双层粘土地基 上限分析 条形基础 极限承载能力 ground foundation adjacent to slope two-layer soils upper limit analysisl strip footinglultimate bearing capacity
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