高速公路沉降的非线性等阶径向点插值法解

Settlement Calculation of Highway Using Nonlinear Radial Point Interpolation Method with Equal-rank Polynomial Basis

无单元法一个突出的优点在于其只需要结点信息而不需要单元信息。先介绍等阶径向点插值法这种新型无单元的形函数构造思路,接着给出了它非线性求解平面比奥固结问题的主要方程,然后对一软基高速公路的断面沉降进行了计算,并与非线性有限元法结果进行了对比。可以看出该法不但计算精度高,而且在解路堤分级施工的这类移动边界问题的沉降时,比有限元法更方便,具有较好的应用前景。

The basic thought of forming shape functions of radial point interpolation method with equal-rank polynomial basis (ERPIM) is introduced, the nonlinear solution equations for Biot's consolidation are developed with this method, and settlement of one highway on soft ground is calculated. Compared with nonlinear finite element method, it is clear that ERPIM is more accurate and convenient to treat the moving boundary problem as embankment constructed by stages.