沥青路面超孔隙水压力计算的刚度矩阵法  

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

作　　者：钟阳[1] 耿立涛[1] 周福霖[2] 张永山[2] 

机构地区：[1]大连理工大学土木学院,辽宁大连116024 [2]广州大学土木学院,广东广州510405

出　　处：《沈阳建筑大学学报（自然科学版）》2006年第1期25-29,共5页Journal of Shenyang Jianzhu University：Natural Science

基　　金：科技部重大基础研究项目(2004CCA03300)

摘　　要：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.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 Bolt 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 dement 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.

关 键 词：沥青路面 超孔隙水压力 刚度矩阵 积分变换 

分 类 号：TU370.1[建筑科学—结构工程]