任意荷载下成层粘弹性地基的一维固结

针对成层粘弹性地基模型,运用Laplace变换及矩阵传递法求解了任意荷载下成层粘弹性地基一维变形问题,得到了频域内的通解,通过Laplace逆变换,即可计算成层粘弹性地基在任意荷载下的一维变形.Terzaghi一维固结理论解是本文的一个特例.结合三层地基的算例,可以看到粘弹性地基的固结相对于弹性地基有个滞后过程,但随时间最终趋于一致;循环荷载下粘弹性多层地基固结时,其有效应力和变形都呈振荡增长,且不与荷载同步,而要相对滞后.此外,通过一工程实例,对该方法的可靠性进行论证,以证明该法确能指导工程实践.

One Dimensional Consolidation of Layered and Visco-Elastic Solids Under Arbitrary Loading

Based on the layered visco_elastic soil model, according to the Terzaghi's one dimensional consolidation theory, by the method of Laplace transform and matrix transfer technique, the problems about the consolidation of layered and saturated visco_elastic soils under arbitrary loading were solved. Through deductions, the general solution, in the terms of layer thickness, the modulus and the coefficients of permeability and Laplacian transform's parameters was obtained. The strain and deformation of the layered and saturated visco_elastic soils under arbitrary loading can be calculated by Laplace inversion. According to the results of several numerical examples, the consolidation of visco_elastic soils lags behind that of elastic soils. The development of effective stress and the displacement is vibrant process under cyclic loading. Finally, an engineering case is studied and the results prove that the methods are very effective.