考虑瑞利分布和墙体应变的黏土基坑位移预测

本文选择瑞利分布函数型式的位移增量，考虑地面超载，建立了Terzaghi机制下的基坑变形机制。引入超固结比这一重要影响因素，改进了考虑超固结比的剪切强度计算方法。基于剪切强度调用法（MSD）思想，综合考虑墙体弹性应变能的影响，建立了多层开挖引起位移增量条件下的能量守恒关系，得到了考虑多因素的变形预测方法。然后，基于参数分析，定量地分析了地面超载、墙体长度和刚度、开挖深度和嵌固条件对悬臂和鼓出位移的影响规律。最后，通过与经典案例的有限元分析及基于余弦函数的MSD法预测结果作比较，说明本文选取的位移增量函数能更好地吻合墙体变形剖面，考虑墙体弹性应变能可以提高位移预测的精度。

Displacement prediction of clay foundation pit considering Rayleigh distribution and wall strain

In the paper, the displacement increment of Rayleigh distribution function is selected, and the deformation mechanism of foundation pit under Terzaghi mechanism is established considering ground overload. The shear strength calculation method considering over-consolidation ratio is improved by introducing the important factor of over-consolidation ratio. Based on the idea of mobilized strength design method (MSD), considering the influence of elastic strain energy of wall, the energy conservation relationship under the condition of displacement increment caused by multi-layer excavation is established, and the deformation prediction method considering multi-factors is obtained. Then, based on the parameter analysis, the effects of overload, wall length and stiffness, excavation depth and embedding conditions on cantilever and bulge displacement are quantitatively analyzed. Finally, by comparing the results of FE analysis and MSD method based on cosine function with those of classical cases, it is shown that the displacement increment function selected in this paper can better match the deformation profile of the wall, and the accuracy of displacement prediction can be improved by considering the elastic strain energy of the wall.