About a strain smoothing technique in finite element method

Abstract

 This paper presents a global review of the strain smoothing method to finite element analysis for two-dimension elastostatics. The strain at each point is replaced by a non - local approximation over a smoothing function. With choosing a constant smoothed function and applying the divergence theorem, the stiffness matrix is calculated on boundaries of smoothing elements (smoothing cells) instead of their interior. The presented method gains a high accuracy compared with the standard FEM without increasing computational cost.