半无限体地基一维非线性大变形固结解析分析方法研究

Analytical method for 1-D non-linear large strain consolidation of semi-infinite saturated clay layer

基于有效应力与孔隙比以及渗透参数与孔隙比之间的关系的一些假定 ,采用李群变换求解考虑材料非线性和几何非线性的半无限均质土体大变形固结非线性偏微分方程 ,得到了一个不考虑自重固结的完全解析解。将其计算结果与传统固结理论作分析比较 ,发现两者的差别与土性非线性指标有关。计算结果还表明 。

Based on the assumptions of semi logarithmic relationship between coefficient of permeability and void ratio as well as the relationship between effective stress and void ratio of soil, the method of Lie Group Transformation is applied to solve the non linear partial differential equation of large strain consolidation of homogeneous saturated clay in semi infinite domain. The implicit exact solution without considering the effect of self weight of soil is obtained. The calculated result is compared with that obtained from conventional Terzaghi's theory. It is found that the difference is mainly dependent on the non linearity of soil. The calculated result of revised Terzaghi's theory is fairly close to that obtained from analytical non linear large strain method.