This work extends the smoothed finite elements method (S-FEM) to the use of arbitrarily complicated meshes, including nonconvex polygonal meshes for the first time. A novel formulation for arbitrarily polygonal elements based on the S-FEM is presented for analyses of elastic and elastoplastic problems. This enable the use of polygonal elements that are of conventional quadrilateral, convex polygonal, concave polygon elements and n-sides concave polygonal elements. This is achieved by making use of the exceptional unique features of S-FEM in ter...
