Gibson土体非线性大变形固结方程的解析解  

Analytical Solutions of Gibson's Finite Non-linear Consolidation Equation of Soil

作　　者：陈敬虞[1] 海瑛[2] 

机构地区：[1]嘉兴学院建筑工程学院,浙江嘉兴314001 [2]嘉兴学院机电工程学院,浙江嘉兴314001

出　　处：《嘉兴学院学报》2011年第3期41-46,共6页Journal of Jiaxing University

摘　　要：探讨了土体一维非线性大变形固结问题的解析解法,给出了土体在单面排水和双面排水条件下、以孔隙比为变量的G ibson土体一维非线性大变形固结简化控制方程的解析解.利用该解析解分析了土体一维非线性大变形固结的性状,将土体一维非线性大变形固结理论解与Terzagh i一维小变形固结理论解进行了比较.研究结果表明,该解析解可用于土体一维非线性大变形固结问题其他数值解的验证.The analytical solution of 1D finite non-linear consolidation equation of soil is studied,and for the boundary conditions PTIB（porous top and impermeable base） and PTPB（porous top and porous base）,the analytical solutions of the simplified governing equation（the variable of the equation is the void ration e of soil） of the Gibson＇s one-dimensional finite non-linear consolidation are presented in this paper.The behavior of 1D finite non-linear consolidation of soil is analyzed by the analytical solutions,and the solutions of the 1D finite non-linear consolidation theory are compared with the solutions of the Terzaghi＇s 1D small strain consolidation theory.The research of this paper shows that the analytical solutions of this paper is valuable for the verification of many other numerical solutions to the 1D finite non-linear consolidation problems of soil.

关 键 词：Gibson土体 一维非线性大变形固结 固结控制方程 解析解 

分 类 号：TU43[建筑科学—岩土工程]