Modeling crack in orthotropic media using a coupled finite element and partition of unity methods

  • Authors:

  • A. Asadpoure;S. Mohammadi;A. Vafai

  • Affiliations:

  • Department of Civil Engineering, Sharif University of Technology, Tehran, Iran;School of Civil Engineering, University of Tehran, Tehran, Iran;Department of Civil Engineering, Sharif University of Technology, Tehran, Iran

  • Venue:
  • Finite Elements in Analysis and Design
  • Year:
  • 2006

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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).