Biot固结理论在单桩负摩擦研究中的应用

利用Biot固结理论和积分方程方法研究了桩在表面圆形载荷作用下的负摩擦问题。首先应用积分变换方法得出了半空间内部以及表面作用圆形载荷时的基本解 ,基于基本解得出了单桩在圆形分布载荷作用下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 ,求解上述积分方程并进行相应的数值逆变换即可得单桩在表面载荷作用下桩的变形、轴力以及桩侧摩阻力随时间的变化情况。

The application of Biot consolidation theory to the negative friction problem of single pile

The negative friction problem of single pile under the action of the surface circular load is studied by Biots consolidation theory and integral equation method. By using integral transform methods, the fundamental solutions of circular load in the interior and on the surface of the half space are established in this paper. The second kind of Fredholm integral equation of the single pile under the action of circular load in saturated soil is obtained by using the fundamental solutions. 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 and the shear stress of the pile and pore pressure along the pile axis are obtained.