胡卫东　曹文贵　袁青松

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.

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

中图分类号： U416.14 文献标识码：A

Abstract：Combined with the characteristics of the asymmetry failure mode of the twolayer clay foundation near slope and layered properties， the unilateral sliding failure mode of twolayer 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 twolayer foundation soil was derived. A new approach for determining the ultimate bearing capacity of twolayer 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.

Key words：ground foundation adjacent to slope； twolayer soils； upper limit analysis； strip footing； ultimate bearing capacity

目前，均质浅基础地基的承载力问题已经有了较深入研究，但实际上工程大部分地基都是非均质层状地基，土层之间的力学指标差别较大，使得成层土地基与均质土地基在破坏机理和破坏模式上有着显著不同，其相应地基极限承载力也必然存在较大差别，因此，开展成层土地基承载力确定方法的研究有着重要的工程意义，这也正是本文研究的出发点.

由于受到土层厚度和力学强度指标等的影响，成层土地基的破坏模式更加复杂，给成层土地基承载力确定方法的研究造成了较大困难，尽管如此，不少……