表面堆载作用下群桩负摩擦研究

利用Biot固结理论和积分方程方法研究了表面有堆载的群桩负摩擦问题。根据基本解得出了群桩在圆形均布载荷作用下在时间域内的第二类Fredholm积分方程组。运用Laplace变换对上述积分方程组进行简化，求解上述积分方程组并进行相应的数值逆变换就可得出群桩在表面圆形均布载荷作用下的变形、轴力、孔压和桩侧摩阻力随时间的变化情况。

Research of negative friction for pile groups under surface load

The negative friction problem of pile groups under the surface load is studied by using Biot's consolidation theory and integral equation method. The second kind of Fredholm integral equations of the pile groups under the action of circular load in saturated soil is obtained by using the fundamental solution. The integral equations can be simplified by mean of Laplace transform methods. By the numerical solution of the integral equations and the corresponding inverse integral transforms the displacement, axial force, pore pressure and shear stress of the pile groups' and pore pressure along the pile groups' axis are obtained.