The inclusions also have FGM properties. Numerical examples are considered and their obtained results are compared with the COMSOL, the finite element method software. | 141 TẠP CHÍ PHÁT TRIỂN KH&CN, TẬP 20, SỐ K2-2017 Extended finite element method for simulating the mechanical behavior of multiple random holes and inclusions in functionally graded material Kim Bang Tran, The Huy Tran, Quoc Tinh Bui and Tich Thien Truong Abstract— Analysis of mechanical behavior of a structure containing defects such as holes and inclusions is essential in many engineering applications. In many structures, the discontinuities may have a significant influence on the reduction of the structural stiffness. In this work, we consider the effect of multiple random holes and inclusions in functionally graded material (FGM) plate and apply the extended finite element method with enrichment functions to simulate the mechanical behavior of those discontinuous interfaces. The inclusions also have FGM properties. Numerical examples are considered and their obtained results are compared with the COMSOL, the finite element method software. Index Terms— XFEM, hole, inclusion, multiple. 1 INTRODUCTION I n many engineering applications, a structure may contain defects such as holes and inclusions. Therefore, analysis of mechanical behavior of a structure containing defects plays a vital role in Manuscript Received on July 13th, 2016. Manuscript Revised December 06th, 2016. This research is funded by Ho Chi Minh City University of Technology – VNU-HCM, under grant number T-KHUD-201669. Kim Bang Tran, Ho Chi Minh City University of Technology, VNU-HCM, Vietnam (e-mail: tkbang@). The Huy Tran, , Ho Chi Minh City University of Technology, VNU-HCM, Vietnam. Tinh Quoc Bui, Department of Civil and Environmental Engineering, Tokyo Institute of Technology, Japan (email:). Tich Thien Truong, Ho Chi Minh City University of Technology, VNU-HCM, Vietnam (e-mail: tttruong@). ensuring reliability when operating and avoiding the resonance phenomenon that can cause large displacements, may lead to structural failure. Due to .
