Analysis and Solution of the Nonlinear Consolidation Equation of Layered Foundation under Loading and Unloading

The stability of granary foundation is related to the safety of grain storage, and the settlement mechanism of foundation consolidation under loading and unloading is different from that of traditional sudden loading or linear load, therefore, it is of great practical significance to carry out relevant research.In this paper, the analytical solution of one-dimensional non-linear consolidation equation of the silo foundation in the process of loading and unloading was derived based on the change of the grain surface and the dynamic change of load during loading and unloading, and an expression of the average consolidation degree U and the settlement of S in consolidation settlement was established.The analytical solution was verified by an engineering example of a building in Hainan province, the change of pore pressure in the depth direction of the analytical solution and Terzaghi solution in the 10-year period was studied by using Maple mathematical software, the results of the two solutions were found to be roughly the same; the settlement difference between the analytical solution and Xie Kanghe solution settlement curves was close to 0 after 10 years; In order to accurately simulate the consolidation property of soil and by using ABAQUS numerical simulation analysis, the effective stress and the amplitude of deformation oscillations with time were considered.Simulation results showed that:the soil subsidence curve could be divided into three stages:"rise-level-rise", which was basically the same as loading process of loading and unloading of grain.