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在对渗透系数与孔隙比以及有效应力与孔隙比的关系作出假设的基础上 ,讨论了不同初值和边值条件下的饱和粘土一维非线性有限变形固结方程 ,同时对不同边界条件的性质进行了评价。研究表明 ,对于一些相对简单的边界条件 ,通过李群变换的方法可以得到非线性固结方程的完整解析解。最后 ,将所得到的解答与Tan&Scott的有关解答进行了分析比较 ,并探讨了求解过程中出现的一些问题
Based on the hypothesis of the relationship between permeability coefficient and void ratio and the relationship between effective stress and void ratio, the one-dimensional nonlinear finite deformation consolidation equation of saturated clay under different initial values and boundary values is discussed, and the influence of different boundary conditions The nature of the evaluation. The research shows that for some relatively simple boundary conditions, the complete analytical solution of the nonlinear consolidation equation can be obtained by the Lie group transformation method. Finally, we analyze and compare the answers we obtained with Tan & Scott’s solutions and discuss some problems in the solution process