临坡矩形浅基础地基极限承载力的上限分析

为深入探讨临坡矩形浅基础地基的破坏机理，提出一种三维双侧破坏模式，该破坏模式充分考虑了基础内侧土体抗剪强度对临坡地基承载力的影响，且能较好反映基础两侧滑块形状和尺寸的非对称性.同时对该多滑块组合破坏机构提出一种简化构造方法，该方法既能有效反映矩形基础地基的三维端部效应，又能避免复杂的坐标求解和曲面积分运算，更便于工程实际的应用.然后，在该破坏模式基础上引入极限分析上限理论，建立出一种新的临坡矩形基础地基承载力确定方法，并运用SQP优化算法实现极限承载力上限求解.最后，结合工程实例，与现有其他理论研究方法和ABQUS有限元分析方法计算结果进行对比分析，验证了本文方法的可行性和合理性.
In order to make an intensive study of the failure mechanism of rectangular footings adjacent to slope, a three-dimensional and bilateral failure mode was established, which fully considered the influence of the shear strength of inside soil in the foundation and the double asymmetrical features. Moreover, a simplified construction method of the rigid-motion blocks collapse mechanism was proposed, which could not only effectively reflect the three-dimensional end effect but also avoid complex coordinate and surface integral calculation, and it is more convenient for practical engineering. Based on the failure mode, the upper limit analysis theory was then introduced, and a new analysis approach of ultimate bearing capacity of rectangular footing adjacent to slope was put forward. Meanwhile, the solving of the bearing capacity was realized by using the SQP optimization theory. Finally, the feasibility and rationality of the research approach proposed is showed through the comparison analysis with the current research as well as the ABQUS finite element results.