Loading...
Modeling crack in orthotropic media using a coupled finite element and partition of unity methods
Asadpoure, A ; Sharif University of Technology | 2006
284
Viewed
- Type of Document: Article
- DOI: 10.1016/j.finel.2006.05.001
- Publisher: 2006
- Abstract:
- The problem of crack modeling in 2D orthotropic media is considered. The extended finite element method has been adopted for modeling and analyzing a crack and its domain numerically. In this method, first the finite element model without any discontinuities is created and then the two-dimensional asymptotic crack-tip displacement fields with a discontinuous function are added to enrich the finite element approximation using the framework of partition of unity. The main advantage is the ability of the method in taking into consideration a crack without any explicit meshing of the crack surfaces, and the growth of crack can readily be applied without any remeshing. Mixed-mode stress intensity factors (SIFs) are evaluated to determine the fracture properties of domain. The results of proposed method are compared with other available numerical or (semi-) analytical methods. The SIFs are obtained by means of the interaction integral (M-integral). © 2006 Elsevier B.V. All rights reserved
- Keywords:
- Approximation theory ; Computer simulation ; Cracks ; Function evaluation ; Numerical analysis ; Problem solving ; Stress intensity factors ; Two dimensional ; Extended finite element method (XFEM) ; Near-tip displacement ; Orthotropic media ; Stress intensity factors (SIF) ; Finite element method
- Source: Finite Elements in Analysis and Design ; Volume 42, Issue 13 , 2006 , Pages 1165-1175 ; 0168874X (ISSN)
- URL: https://www.sciencedirect.com/science/article/abs/pii/S0168874X06000904