The application of a coupled ®nite element± element-free Galerkin (EFG) method to problems in threedimensional fracture is presented. The EFG method is based on moving least square (MLS) approximations and uses only a set of nodal points and a CAD-like description of the body to formulate the discrete model. The EFG method is coupled with the ®nite element method which allows for the use of the...

One of mesh free methods, element Galerkin method, is presented to analyze the finite beam on elastic foundation. The shape functions are constructed by using moving least square interpolation based a set nodes that arbitrarily distributed in specified domain. Discrete system equations derived from variation form equations. Numerical examples foundation given establishing Matlab code. results t...