N-sided polygonal smoothed finite element method (nSFEM) with non-matching meshes and their applications for brittle fracture problems

In this work, an n-sided polygonal smoothed finite element method (nSFEM) based on gradient smoothing technique is presented for phase field fracture modelling. The phase field approach approximates the crack topology in a diffuse way through an exponential function. A coupled elastic displacement and phase field variational formulation is established by using a Smoothed Galerkin Weak form. Meanwhile, non-matching meshes for local refinement are...