沥青路面超孔隙水压力计算的刚度矩阵法

目的 分析浸水沥青路面的应力状态。解决高速公路沥青路面的水侵害问题．方法 将浸水沥青路面视为多层饱和弹性半空间轴对称体，利用Hankel和Laplace积分变换等数学方法以及Boit固结方程，推导出任意一层浸水沥青路面超孔隙水压力的刚度矩阵，再按传统的有限元方法组成总体刚度矩阵．通过求解由总体刚度矩阵所构成的代数方程和Hankel和Laplace积分逆变换．结果 得到了外荷载作用下沥青路面超孔隙水压力问题的精确解．结论 在路面的面层中以及面层与基层的接触面附近，超孔隙水压力出现最大值．

Computing the Express Pore Fluid Stress of Flexible Pavement by Stiffness Matrix Method

The stresses of the permeated flexible pavement are analyzed in order to solve the problem of permeated flexible pavement.Permeated flexible pavement is regarded as an axial symmetric body of multilayered saturation elastic half space.The stiffness matrix for a layer is derived firstly based on the fundamental thermal Boit consolidation equations and some mathematic methods such as Hankel and Laplace integral transformations.Then the global stiffness matrix is established for multilayered saturation elastic half space using the finite element concepts in which layers are completely contacted.Explicit solution of the express pore fluid stress for flexible pavement is obtained from the solution of the algebra equation formed by global stiffness matrix and the Hankel and Laplace inverse integral transformation.Because the elements of matrix do not include positive exponential function,the calculation is not overflowed.Therefore,the shortages of transfer matrix method are overcome.This method is clear in concept,and the corresponding formulas given in the paper are not only simple but also convenient for application.Pore fluid stress is maximum at the interface between surface layer and base layer of the flexible pavement.