无网格伽辽金法在二维土体沉降分析中的应用

Application of element- free Galerkin method in 2-D soil sedimentation analysis

无网格伽辽金法(EFGM)是无网格法的一种,采用滑动最小二乘法构造位移函数,脱离了单元的概念,计算精度高且稳定性较好,在岩土工程和结构分析中都有广泛的应用.给出了一个用EFGM法求解二维土体沉降问题的算例,选择四结点等参单元的拉格朗日算子法计算,并与有限单元法(FEM)进行了比较.就土体固结沉降和超静孔隙水压力等参数的计算结果来看,都与FEM法较吻合,表明EFGM法在处理土体沉降变形问题时可行且有效.

Element-Free Galerkin Method （EFGM） is a kind of meshless method, which is using moving least squares method to construct the displacement function, breaking away the concept of the units. Due to its stability and accuracy, it is applied in geotechnical engineering and structure analysis widely.In this paper, a example about two-dimensional sedimentation problem of soil is given using EFGM, selecting the four-node isoparametric element and Lagrangian operator method. At the same time, Finite Element Method （FEM） are compared to solve the same problem. The calculation results about the consolidation settlement of soil and hyperstatic pore water pressure are compared with the FEM method. It is shown that EFGM is feasible and effective in dealing with the issue of settlement of soil. 6figs., 10refs.