Ultimate Bearing Capacity of Asymmetric Double Slope Foundation Based on Multi Block

DOI：

 作者 单位 杨博铭?覮 （湖南大学 设计研究院有限公司，湖南 长沙 410082）

为进一步解决条形基础荷载作用下双层临坡地基的承载力和稳定性问题，对现有研究成果进行对比分析，并对其假设的合理性进行判断，根据临坡地基破坏模式的非对称性的基本特征，考虑到双层地基分层界面处速度的间断性，采用一种新的多滑块模式来构建其破坏模型. 根据速度相容关系、速度三角形闭合条件确定该模型的相容速度场. 引入极限分析法的上限分析理论，推导条形基础非对称双层临坡地基上限承载力的计算公式. 采用MATLAB二次规划算法的优化计算方法对双层临坡地基的上限承载力进行优化求解. 最后通过工程算例来验证理论公式的合理性，并与现有研究方法以及软件计算结果进行对比，证明了本文方法的可行性.

In order to solve the problems of bearing capacity and stability for the double-layer slope foundation under the load of the strip foundation，this paper compared and analyzed the previous research results，and judges the rationality of its hypothesis. According to the basic characteristics of the asymmetry of the failure mode of the slope foundation and considering the velocity inequality at the stratified interface of the double-layer foundation, a new multi-slider failure mode was used to build its destruction mode. The compatibility velocity field was determined according to the speed-compatible relation and velocity triangle closure condition. At the same time，the upper limit analysis theory of the limit analysis method was introduced to derive the calculation formula of the upper limit bearing capacity of the asymmetric double-layer slope foundation of the strip foundation. The optimization calculation method of the secondary planning algorithm in MATLAB was used to optimize and solve the upper limit bearing capacity of double-layer slope foundation. Finally，the engineering examples was used to verify the rationality of the proposed method, and compared with the existing research methods and the results of the software calculation，proving the feasibility of the method used in this paper.