3. Extended Finite Element Method

  1. Soheil Mohammadi

Published Online: 22 AUG 2012

DOI: 10.1002/9781118443378.ch3

XFEM Fracture Analysis of Composites

XFEM Fracture Analysis of Composites

How to Cite

Mohammadi, S. (2012) Extended Finite Element Method, in XFEM Fracture Analysis of Composites, John Wiley & Sons, Ltd, Chichester, UK. doi: 10.1002/9781118443378.ch3

Author Information

  1. University of Tehran, Iran

Publication History

  1. Published Online: 22 AUG 2012
  2. Published Print: 21 SEP 2012

ISBN Information

Print ISBN: 9781119974062

Online ISBN: 9781118443378



  • XFEM, theoretical and computational, extended to 2D/3D;
  • PUFEM to advanced frameworks, based on fracture mechanics;
  • crack-tip enrichments for asymptotic crack-tip, and jump functions;
  • Gauss quadrature rules and numerical implications, of partitioning;
  • tracking boundaries as crack propagation, in XFEM simulations;
  • XFEM validity, robustness and efficiency;
  • spatial discontinuity enrichment concept, extended to time domain;
  • XFEM approximation space enrichment, in detecting problem features;
  • near crack-tip enrichment and incompatibility, blending over transition;
  • LSM, and advantages in tracking interfaces


This chapter contains sections titled:

  • Introduction

  • Historic Development of XFEM

  • Enriched Approximations

  • XFEM Formulation

  • XFEM Strong Discontinuity Enrichments

  • XFEM Weak Discontinuity Enrichments

  • XFEM Crack-Tip Enrichments

  • Transition from Standard to Enriched Approximation

  • Tracking Moving Boundaries

  • Numerical Simulations