横观各向同性层状饱和地基的轴对称二维Biot固结分析

从Biot基本固结方程出发,引入状态变量,构造了一组描述土体固结的等价状态变量微分方程.该方程组可利用Hankel-Laplace联合积分变换的方法进行求解,由此获得饱和土骨架位移、应力、孔隙水压力及渗流量的一般积分形式解.通过一个数值算例分析了横观各向同性层状饱和地基受荷载作用的固结性状.结果表明,固结速率随地基厚度的增加而减小,在无量纲地基厚度h>10时,其对地基固结特性的影响可略去.

Axisymmetric Consolidation of a Transversely Isotropic Single-Layered Soil

Based on Biot's general theory, the axisymmetric consolidation problems of a transversely isotropic single-layered soil were studied. By employing two state variables, the governing consolidation (equations) are reduced to a set of equivalent partial differential equations which can be solved by means of Hankel-Laplace integral transform technique. The general solutions for displacements and stress components of the solid matrix, the fluid pressure and discharge are obtained in integral form. The consolidation settlement of a transversely isotropic single-layered soil was evaluated and the numerical results show that the layer thickness has an important influence unless >10.