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高速公路沉降的非线性等阶径向点插值法解
引用本文:王志亮,彭满红,李永池.高速公路沉降的非线性等阶径向点插值法解[J].应用力学学报,2005,22(1):103-106.
作者姓名:王志亮  彭满红  李永池
作者单位:1. 中国科技大学,合肥,230027
2. 江西修水县水利水电局,江西,332400
摘    要: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。

关 键 词:等阶径向点插值法  高速公路  沉降  有限元法  邓肯-张模型
文章编号:1000-4939(2005)01-0103-04

Settlement Calculation of Highway Using Nonlinear Radial Point Interpolation Method with Equal-rank Polynomial Basis
Wang Zhiliang,Peng Manhong,Li Yongchi.Settlement Calculation of Highway Using Nonlinear Radial Point Interpolation Method with Equal-rank Polynomial Basis[J].Chinese Journal of Applied Mechanics,2005,22(1):103-106.
Authors:Wang Zhiliang  Peng Manhong  Li Yongchi
Institution:Wang Zhiliang 1 Peng Manhong 2 Li Yongchi 1
Abstract: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.
Keywords:radial point interpolation method with equal-rank polynomial basis (ERPIM)  highway  settlement  finite element method  Duncan-Chang model  
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