任意荷载下成层弹性地基的一维固结

针对成层弹性地基模型，运用Ｌａｐｌａｃｅ变换及矩阵传递法求解了任意荷载下成层弹性地基一维固结问题，得到了频域内的通解，通过Ｌａｐｌａｃｅ逆变换，即可计算成层弹性地基在任意荷载下的一维团结。经典的Ｔｅｒｚａｈｉ一维固结理论解是一个特例。此外，结合三层的地基算例，对解进行了探讨，揭示了成层弹性地基的固结特性。

ONE DIMENSIONAL CONSOLIDATION OF LAYERED ELASTIC SOILS UNDER ARBITRARY LOADING

By the method of Laplace transform and matrix transfer technique, according to the layered soil model, one dimensional consolidation of layered elastic soils under arbitrary loading has been studied in this paper. The general solution in the Laplace transform field is first obtained, the strains and deformations in the soils under arbitrary loading can then be calculated by the inverse Laplace transform. The classical Terzaghi's one dimensional consolidation theory is a special case of this research. In addition, through a numerical example, some characters of the consolidation of layered elastic soils under arbitrary loading are manifested.