Abstract
In recent years, finite element method (FEM) has been widely used in deformation analyses of geotechnical engineering field. Although FEM made large-scale simulations possible by the improvement of computer performance, it needs a great labor to divide a domain analyzed into finite elements as the scale of the problem becomes larger. Moreover, the results strongly depend on mesh configuration when dealing with liquefaction and the following ground flow phenomenon. On the other hand, the mesh free method has claimed the attention of many researches because this method provides a technique for descretizing an analyzing domain without conducting the mesh division. In this paper, the element free Galerkin method (EFGM), one of successful mesh free methods, is applied to numerical analysis of liquefaction and the ground flow phenomenon using the fluidal elasto-plastic constitutive equation. The set of equations for the equilibrium and the continuity of pore water is derived and its discretization in space based on the EFGM is formulated for small strain and finite deformation analyses. In order to assess the effectiveness and accuracy of the proposed procedure, some numerical simulations are conducted.
