任意荷载下欠固结地基的非线性一维固结

根据Gibson得到的固相坐标z下的非线性固结控制方程，运用Laplace变换求解了在任意荷载作用下的单层饱水欠固结地基一维非线性变形问题；通过Laplace逆变换，求得单层饱水欠固结地基在任意荷载作用下的一维非线性固结解。结合单层地基在几种常见荷载作用下固结变形的算例，对解进行了探讨，揭示了任意变荷载作用下单层饱和软粘土欠固结地基一维非线性固结的特性，得到了一些可用于指导工程实践的有益结论。

One-dimensional nonlinear consolidation of underconsolidation clay under arbitrary loadings

Method for nonlinear consolidation of underconsolidated clay under arbitrary loadings is paramount in engineering practice; however, few solutions in this area have been available. By the method of Laplace transform, according to the Gibson’s governing equation for one-dimensional consolidation of saturated thick clay layers, a short paper has studied the behavior of this kinds of soils. Results are presented by the inverse Laplace transform. The solutions manifested that the degree of consolidation and the settlement are depended only on the parameter (governing equation parameter), and the development of the degree of consolidation as well as the normalized void ratio is a vibrant process under arbitrary loadings such as cyclic loadings, the degree of consolidation lags the imposed loadings and the amplitude does not reduce as time goes on. Method presented in this paper can be adopted to calculate the degree of consolidation and the void ratio of underconsolidated saturated soft soils under arbitrary loadings at any instance T with different boundary conditions (pervious and impervious). The results are meaningful in engineering practice.