柔性层状路面应力和位移场的边界元分析

为研究任意形状分布的各种荷载作用下柔性多层弹性路面应力和位移的性状分布特点,利用层状材料的广义Kelvin基本解,建立了边界元分析方法.结合广义Kelvin基本解与边界元方法,建立柔性层状路面边值问题的边界积分方程,对于核函数中出现的奇异积分做了解答.该方程中不舍在层状材料交界面上的积分,可求解任意形状分布各种荷载作用下的多层弹性体系应力和位移.算例分析表明:该方法可以获得较高的计算精度;由于采用了层状材料的广义Kelvin基本解,该方法能处理力学参数沿深度方向任意变化的柔性路面.

Analysis of Stress and Displacement Field in Flexible Layered Pavement Based on Boundary Element Method

In order to study the stress and the displacement of the flexible multi-layer elastic pavement under various loads distributed in arbitrary shape, the boundary element method for the flexible layered pavement was presented using the fundamental solutions multi-layer solids for the analysis.With combination of the generalized Kelvin fundamental solution and the boundary element method, the boundary integral equation was established for the boundary value problem of the flexible layered pavement to explain the singular integral appearing in the kernel function.The method, which does not involve integral of layered material' s interface, can be used to solve the stress and the displacement of the multi-layer elastic media under various loads distributed in arbitrary shape.The analytical result shows that the presented method is of higher precision and can be used for analysis of the flexible pavement which mechanical parameters change along the depth because of using the generalized Kelvin fundamental solutions of layered elastic solids.