考虑固结和流变的土-单桩-筏共同作用研究

利用Biot固结理论和积分方程研究了考虑流变的饱和土–单桩–筏的共同作用问题,首先应用积分变换方法得出了半空间表面作用环形荷载时的基本解、基于半空间表面作用环形荷载的基本解、半空间表面作用圆形荷载的基本解以及桩–土、筏板–土变形协调条件得出了饱和土–单桩–筏板共同作用在时间域内的第二类Fredholm积分方程。运用Laplace变换对上述积分方程进行简化,求解积分方程并进行相应的数值逆变换即可得单桩的位移、轴力、孔压以及筏板与土的接触正应力随时间的变化情况。

STUDY ON SOIL-PILE-RAFT INTERACTION WITH CONSIDERATION OF SOIL CONSOLIDATION AND RHEOLOGY

The soil-pile-raft interaction problem with consideration of soil rheology is studied by Biot consolidation theory and integral equation method. By using integral transform methods,the fundamental solutions of ring load on the surface of the half space are established. The second kind of Fredholm integral equation of the pile-soil-raft interaction problem is obtained by using fundamental solutions and the pile-soil and raft-soil deformation compatibility condition. The integral equation can be simplified by means of Laplace transforms methods. By the numerical solution of the integral equation and the corresponding inverse integral transforms,the displacement,axial force,pore pressure along the pile axis,and the contact normal stress between raft and soil, are obtained.