交通荷载下横观各向同性土的Biot固结分析

在竖向荷载和切向荷载共同作用下，求解了具有下卧基岩的横观各向同性土的Biot固结问题。首先，基于Biot固结理论得到控制方程，同时引入3个状态变量；然后，对时间t进行Laplace变换和对半径r进行Hankel变换。利用Laplace-Hankel联合积分变换求解状态方程，得到交通荷载作用下横观各向同性土骨架位移、孔隙水压力等的一般积分形式解。结合算例验证了该方法的正确性，并分析了切向荷载和竖向荷载共同作用下对横观各向同性土层沉降和孔压的影响，可以发现切向荷载和竖向荷载共同作用所产生的前期沉降明显小于竖向荷载单独作用的情况。为了更好地模拟实际情况，竖向荷载还采用正弦循环荷载。在循环荷载作用下，沉降变化周期滞后于荷载周期。

Biot consolidation of a transversely isotropic soil layer under traffic loading

This paper gives the solutions of the transversely isotropic consolidation under both vertical and tangential traffic loadings.Based on Biot’s theory for transversely isotropic clay,the general solutions have been previously derived by applying the Laplace-Hankel transform.By using the inverse Laplace-Hankel transform,pore water pressure and settlement are obtained.The obtained numerical results demonstrate that at the early stage of the consolidation,the tangential loading will have the non-neglectable influence on the settlement.Moreover,the surface settlement under the time-dependent cyclic loading,which is used here to simulate the traffic loadings,always lags behind the loading period.