多级线性荷载下饱和软黏土一维大应变固结解析解

An analytical solution of 1-D finite strain consolidation of saturated soft clay under multistep linear loading

在软土地基工程中,荷载往往都是分级施加,随着固结地基强度增加到一定值后,再施加下一级荷载以确保地基稳定。基于谢康和饱和软黏土一维大应变固结解析解,采用数学归纳法推导了任意形式多级线性荷载作用下的解,并编制了相应的通用计算程序,可以方便进行计算分析。通过与线性小应变假定下解的计算对比表明,在实际工程中基于非线性大应变进行计算分析更为合理。

In soft soil engineering, loads are not applied instantaneously but generally multistep. With the consolidation of the foundation to a certain intensity value and then the next level of load is imposed to ensure the stability of the foundation. Based on Xie Kang-he＇s solution for one-dimensional finite strain consolidation of saturated soft soil, by means of mathematical induction, the analytical solution under any form of multistep linear loading is deduced; and corresponding general purpose program is also developed for computational efficiency. Then the results are compared with the solutions under linear small strain assumption, and show that the analysis based on nonlinear finite strain assumption is more reasonable in actual engineering.