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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 ,可以通过修正传统固结理论的一些相关参数使其计算结果接近于考虑非线性大变形的相应结果
Based on some assumptions of the relationship between effective stress and void ratio and the relationship between permeability parameters and void ratio, the Lie group transform is used to solve the large deformation and consolidation nonlinear partial differential equations of semi-infinite homogeneous soil considering the material nonlinearity and geometric nonlinearity. Got a complete analytical solution without considering the self-respect and consolidation. Comparing the calculated result with the traditional consolidation theory, it is found that the difference between the two is related to the nonlinear index of soil. The results also show that some correlative parameters of traditional consolidation theory can be corrected to approximate the corresponding results considering nonlinear large deformation