层状地基中考虑固结和流变的垂直单桩的理论分析

摘要

The integral equation is used to solve the problem of single pile in layered saturated soil considering the consolidation and rheology. Based on the fundamental solution of circular load in the interior of the layered half space, the second kind of Fredholm integral equation of the single pile in layered saturated viscoelastic soil is obtained. The integral equation can be simplified by means of Laplace transform. Furthermore, by using the corresponding inverse Laplace integral transform and numerical solution of integral equation, the displacement and axial force as well as the shear stress of the pile are obtained.%利用积分方程求解了考虑固结和流变的层状饱和土地基中的垂直受荷单桩问题.为了求解该问题，首先利用层状饱和土的圆形载荷基本解，建立了时域内层状饱和土地基中单桩的积分方程.对所得的积分方程进行Laplace变换，得到变换域内的积分方程.对变换域内的积分方程采用Schapery逆变换方法得到时域内单桩的近似积分方程.数值求解所得的积分方程可以得到桩的沉降、轴力、剪力和孔压.