用等阶径向点插值法计算高速公路断面沉降

无单元法只需要结点信息，而不需要单元信息，比较适合岩土工程数值分析。介绍了等阶多项式基的径向点插值法(ERPIM)的基本理论，给出了该法求解Biot固结方程的基本格式，并把它应用到软基高速公路断面的沉降计算中，同时与有限元法解进行了分析、对比。结果表明该法不但计算精度高，而且在求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。最后指出了需进一步研究的问题。

CALCULATING SECTION SETTLEMENT OF HIGHWAY EMBANKMENT WITH ERPIM

Meshless method,which needs no elements message but only nodal message,is more suitable to analyze geotechnical engineering problem. After the basic theory of radial point interpolation method with equal polynomial basis (ERPIM) is introduced and the main solution equations for Biots consolidation using meshless method are developed,the settlement of highway on soft ground is calculated with this new meshless method. The results of ERPIM are more accurate. Moreover,ERPIM is more convenient in handling the moving boundary problem such as embankment constructed by steps. Finally,the problem for further study is pointed out.