The purpose of this paper is simulating the crack propagation in steel structures with isogeometry analysis (IGA). In this method, CAD model is integrated into the CAE model by using non uniform rational B-Splines (NURBS) function. Crack propagation in isotroptic linear elastic material will be presented. | SCIENCE & TECHNOLOGY DEVELOPMENT, Vol 18, 2015 Extended iso geometry analysis of crack propagation Truong Tich Thien Tran Kim Bang Nguyen Duy Khuong Nguyen Ngoc Minh Nguyen Thanh Nha Ho Chi Minh city University of Technology, VNU-HCM (Manuscript Received on August 01st, 2015, Manuscript Revised August 27th, 2015) ABSTRACT: The purpose of this paper is simulating the crack propagation in steel structures with isogeometry analysis (IGA). In this method, CAD model is integrated into the CAE model by using non uniform rational B-Splines (NURBS) function. Crack propagation in isotroptic linear elastic material will be presented. The numerical example is a rectangular plate assumed to be plane strain condition with an edge crack under uniform shear loading. The obtained results are investigated and compared with analytical method and reference solutions. Very good agreements on the solutions are found. It is showed that isogometry analysis is better than standard finite element method in modeling and simulating. Consequently, isogometry analysis is an effective numerical method in future, especially when solving the crack propagation problems. Key words: crack propagation, isogeometry analysis, extended, NURBS. 1. INTRO DUCTIO N In simulating the crack growth problems with arbitrary paths, the FEM has encountered many difficulties because the finite element mesh must be re-meshing after each increment of growthing cracks. To overcome these difficulties, the extened finite element method (Moes et ) was developed to solve crack growth problems. XFEM is developed based on Partition of Unity Finite Element Method (PUFEM) [1]. Belytschko và Black (1999) [2] introduced a minimal remeshing method for crack propagation problems. Moës (1999) [3] improved this method. Dolbow (1999) [4] applied XFEM to solve crack problem in shell structures. Page 76 In recent years, Isogeometric Analysis – IGA has been successfully developed by Hughes at .
