A slices based Element Free Galerkin formulation

The solution of problems with multiscale geometry as well as those with com plex, arbitrary three dimensional configuration with the Element Free Galer kin (EFG) method is presented in this paper Multiscale geometries, where on e or more dimensions of the object are of a scale larger than the rest, are treated by the use of directionally biased domains of influence for the no dal locations and corresponding directionally biased weight functions. The bias in these quantities is similar to the scale bias of the problem geomet ry. A method of slices is next introduced to allow for a direct distributio n of EFG nodal points in the domain of the object. Nodal distributions are provided for a number of two dimensional sections or slices of the object w hich are then directly employed in EFG computations. The validity of these developments is demonstrated through the solution of various example proble ms and their verification against known or alternate numerical solutions.