关键词: 边界元, 无网格, 伽辽金, 应力集中系数

Abstract: Using Galerkin method of weighted residual method, and the radial basis function in meshless method to interpolate the virtual source function on the virtual boundary, the Virtual Boundary Meshless Galerkin Method（VBMGM） is formed. VBMGM has both the advantages of boundary element method and meshless method. And the weighted value is the partial derivative displacement or surface force, whose numerical meaning is clear. Equation formed is of symmetry. The specific numerical scheme of VBMGM is deduced in detail. It is easily programmed and researched by other scholars. Numerical example is the water holes dual arrangement of Three Gorges Project in the literature. The results reveal the feasibility and the accuracy of VBMGM, by computing different distances of virtual boundary and real boundary, different Gauss points on each element, and different virtual nodes on virtual boundary to interpolate the virtual source function.

Key words: boundary element, meshless, Galerkin, stress concentration factor