水泥混凝土路面板底脱空区水运动规律的分析模型

Analytical model pertaining water flow in void domain under the cement concrete pavement slabs

在不考虑路面板横向曲率变化、地基的阻尼效应、水的粘性和假设脱空区内始终充满水的前提下,将车辆荷载作用下水泥混凝土路面板底脱空区内滞留水的流体运动问题,换变为求解非稳态的第一类边界条件的Laplace方程,其数值解采用有限元和中心差分相结合的方法求解。为预防和控制板底脱空的出现和扩展,提高水泥混凝土路面使用性能和寿命提供了理论基础和分析手段。

Neglecting the transverse curvature of cement concrete pavement slabs,damp effect of the foundation,viscosity of water,and assuming the void domain underneath pavement slabs full of water,the problem pertaining water flow in void domain beneath pavement slabs under vehicle load is then transformed into a problem of solving an unsteady Laplace equation under the first class boundary condition. The finite element method and centered finite difference method were combined to obtain the numeric results of the Laplace equation. The model and method developed provide a theoretical basis and proper means for analyzing the erosion and pumping phenomena underneath pavement slabs. The results hereinto can be used for preventing the occurrence and development of void underneath pavement slabs,and enhancing the performance of cement concrete pavement and its service life.