半空间饱和土作用垂直集中荷载时的瞬态解

Transient Solution of Impulsive Normal Loads in Half Space Saturated Soil

采用 Biot提出的流固两相介质耦合的波动方程来研究半空间饱和土在垂直集中力作用下的瞬态问题 .利用 Laplace- Hankel积分变换得到变换域内的解析表达式 ,并利用 Laplace- Hankel数值逆变换得到半空间饱和土在时域内的数值解 .退化到线弹性中的解与 Pekeris的闭合解进行比较 。

The transient dynamic response of saturated soil under suddenly applied point loading was studied. The behavior of saturated soil was governed by Biot's consolidation theory. The solutions for transform domain were obtained by using Laplace Hankel integral transforms. The solutions for time domain can be evaluated by the numerical inverse Laplace Hankel transforms. The selected numerical solutions of displacements and stresses were presented. Comparisons with the existing closed form solutions for elastic half space were presented to confirm the accuracy of the present solutions.