变荷载下饱和软黏土一维大应变固结解析理论

基于软黏土一维非线性大应变固结基本理论，建立了能考虑荷载变化、土层自重等因素影响的拉格朗日坐标下以超静孔压u为变量的一维大应变固结控制方程，并通过对土体压缩性和渗透性的假定获得了方程的解析解。基于此解，分析了单级等速加荷条件下软黏土一维大应变固结性状。从中可见，大应变固结过程中土体变形的发展要快于超静孔压的消散；荷载增大，超静孔压消散趋慢；加荷速率越大，土体固结越快；考虑土层自重影响时孔隙比的分布更为合理。此外，本文的解析解也可用于验证各种大应变固结数值解法的正确性。

Analytical solution for 1-D large strain consolidation of saturated soft clay under time-depending loading

Based on the general theory for 1-D nonlinear large strain consolidation of soft soil, the governing equation in the form of excess pore water pressure was established in lagrangian coordinate, in which time-depending loading and self-weight of clay etc. can be taken into consideration. By making the assumptions on the soil compressibility and permeability, the corresponding analytical solution was obtained, through which the behavior of 1-D large strain consolidation in one step loading was then investigated. It shows that the rate of settlement is greater than the rate of excess pore water pressure dissipation during large strain consolidation, the dissipation of excess pore water pressure will be slower with the increase of loading, and the self-weight of clay has great influence on the void ratio distribution. The proposed analytical solution is also can be used to verify other numerical solutions of large strain consolidation problem.