AN EXTENDED TWICE - INTERPOLATION FINITE ELEMENT METHOD FOR MODELING CIRCULAR HOLE AND INCLUSION

Abstract

An extended twice - interpolation finite element method (XTFEM) based on the consecutive interpolation procedure (CIP) of quadrilateral element in two-dimensional (2D) with continuous nodal stress for stress fields near material interface and geometry boundary such as inclusion and hole is presented. In contrast to the traditional approaches, the approximation shape functions constructed based on the CIP involve both nodal values and averaged nodal gradients as interpolation conditions. The CIP for quadrilateral element is developed recently by Tinh Quoc Bui, et al., 2014. In this work, we exhibit a pioneering extension of CIP – based consecutiveinterpolation quadrilateral element enhanced by enrichment in terms of local partition of unity method to precisely model inclusion and hole contained in 2D structure, taking advantages of the strengths and making use all the desirable features of both techniques, the CIP and the local enriched partition of unity method. The accuracy and performance of the proposed XTFEM are compared with available referred results and ANSYS, the finite element method software.