FEM-EFGM耦合法分析砂井地基的固结变形

ANALYSIS ON CONSOLIDATION DEFORMATION OF SAND-WELL FOUNDATION WITH FEM-EFGM COUPLING METHOD

有限元-无网格伽辽金法耦合法作为一种新的计算方法,既拥有FEM的优势,又发挥了EFGM的局部化技术和无单元特性,故具有其独特的计算优势。在全面介绍EFGM的同时,推导了Biot固结方程的FEM-EFGM离散形式,并对单砂井地基和某真空预压场地进行了计算分析。计算结果与解析解和监测数据对比表明,此法的精度较高,边界的处理准确,计算的液体流量是符合实际的。

As a newly developed means of numerical method,the coupling method of finite element method (FEM) and element-free Galerkin method(EFGM) not only is of the advantage of FEM,but also makes the use of the EFGM localization technique and the element-free character. The EFGM is introduced in detail and the FEM-EFGM discrete style of Biot consolidation equation is deduced. Calculations and analyses are made on the pore-pressure and flux of the single sand-well foundation and a site of vacuum preloading. As a result,the comparison of the results of analytical solution and in-situ data shows that the EFM-EFGM is more accurate in calculation and the treatment of boundary,and the solution of fluid flux can conform with practice. Basides,the characteristics of meshless and local approximation indicate that the coupling method is more effective and flexible in both theoretical study and practical application.