半透水边界双层复合地基固结解析理论

研究了考虑双面半透水、涂抹效应和应力集中效应的双层散体材料桩复合地基固结解析解及其工程应用.依据应力条件下的平衡方程和连续条件下的固结方程，由假定的无穷级数解推导出特征方程，并基于特征方程讨论了特征根取值的各种情形，进而得到了双面半透水双层复合地基的固结解析解.研究了给出的计算模型转化为求解单、双面透水双层散体材料桩复合地基以及双层天然地基固结理论的可行性，进而证明求得解具有普遍适用性.研究发现，半透水边界对固结的影响不明显；固结速率随桩径比的减小和桩体刚度的增大而增大；桩径比的作用大于桩体刚度的作用.

Analytical theory for consolidation of double-layered composite ground under impeded boundaries

The analytical solutions and their engineering application of double-layered composite ground with granular columns under impeded boundaries considering smear and stress concentration effects were studied. According to the equilibrium equations under stress conditions and the consolidation equations under continuous conditions, the characteristic equations were derived from the assumed solution in form of infinite series, and the different root values of the characteristic equations were discussed. Thereby the analytical solutions for double-layered composite ground under impeded boundaries were obtained. This work also studied the conversion methods of the calculation model for solving the consolidations of doublelayered composite ground with granular columns under impeded boundaries and double-layered sand-drain ground and natural foundation, thereby proved the universal applicability of the closed form. The influence of impeded boundaries on consolidation is insignificant. The consolidation speed increases with decrease of the ratio of column radius to incidence and increase of column stiffness, and the effect of ratio of column radius to incidence is greater than the geometric parameters.