EFGMによる水 : 土連成有限変形解析(<特集>メッシュフリー法とその周辺技術)

概要

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A formulation of the Element-Free Galerkin Method (EFGM) for saturated soil with pore water is presented under Cam-clay model to overcome the difficulties which appear in the FE analysis. A weak form of the set of equations for the equilibrium of total nominal stress rate and the continuity of pore water is derived and its discretization, based on the usual EFGM strategy, e.g., the moving least square method (MLSM), is fumished within the framework of finite strain. Numerical discretization of the weak form leads to an updated Lagrangean scheme. Such a numerical strategy, in which the nonlocal characteristics incorporated is into the discretized continuity equation, is expected to be advantageous in avoiding the dependency of mesh type and size on numerical solution of strain localization problem. The stiffness matrix is numerically evaluated by the fourth order of the Gauss integration, and boundary conditions are treated with the help of the penalty method. To trace the bifurcation phenomena in the relation of load and deflection, several patterns of initial imperfection are given along the surface of soil specimen. Shear banding within a soil specimen can be introduced while avoiding the numerical difficulties which depend on mesh size in the corresponding FE analyses.
社団法人日本機械学会の論文
2004-03-25