Simplified analytical solution of one-dimensional nonlinear consolidation of soil based on reduced order method
WANG Hongxin1，2，XU Wei1，LI Chuanxun3
(1. Department of Civil Engineering，Shanghai University，Shanghai 200444，China；2. Shanghai Urban Construction Municipal Engineering(Group) Co. Ltd.，Shanghai 200065，China；3. Faculty of Civil Engineering and Mechanics，Jiangsu University，Zhenjiang，Jiangsu 212013，China)
Abstract：The second-order partial differential equation is used in the traditional calculation of soil consolidation. However，it is difficult to obtain analytical solutions in most cases for nonlinear consolidation problems. To solve this problem，a simplified analytical solution considering the nonlinear characteristics of soil is presented by reducing the order and introducing an equivalent coefficient that reflects the nonlinear characteristics of the soil. The analytical solution can be expressed by elementary function，which can more conveniently calculate the degree of consolidation and the excess pore water pressure at each stage of soil. The error between the analytical solution and the differential numerical solution is less than 4.5% in the early consolidation stage，and the maximum deviation is about 10% in the late consolidation stage. Based on the analytical solution，it is easier to take other factors affecting consolidation into account，which provides a new way to deal with the consolidation problem.
王洪新1，2，徐 威1，李传勋3. 基于降阶法的土体一维非线性固结简化解析解[J]. 岩石力学与工程学报, 2022, 41(1): 195-204.
WANG Hongxin1，2，XU Wei1，LI Chuanxun3. Simplified analytical solution of one-dimensional nonlinear consolidation of soil based on reduced order method. , 2022, 41(1): 195-204.
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