A novel node-based smoothing element for triangular and quadrilateral meshes is presented for static analysis of planar piezoelectric structures. In contrast to the smoothed finite element formulation that was based on sub-cells within an original quadrilateral element, this new method transforms a general original finite element mesh into a mesh of new smoothing cells individually associated w...

This paper presents a computational homogenization shakedown analysis of periodic perforated materials with von Mises matrices. The plastic behaviors the under cyclic macroscopic loads are studied by means kinematic theorem and method. micro-fields approximated edge-based smoothed finite element resulting large-scale optimization problem is efficiently solved using conic solver, enabling large ...

Edge-based and face-based smoothed finite element methods (ES-FEM FS-FEM, respectively) are modified versions of the method allowing to achieve more accurate results reduce sensitivity mesh distortion, at least for linear elements. These properties make two very attractive. However their implementation in a standard code is non-trivial because it requires heavy extensive modifications architect...

This paper introduces an accurate edge-based smoothed finite element method (ES-FEM) for electromagnetic analysis both two-dimensional cylindrical and three-dimensional Cartesian systems, which shows much better performance in terms of accuracy numerical stability mesh distortion compared with the traditional FEM. Unlike FEM, computational domain ES-FEM is divided into non-overlapping smoothing...