An XFEM method for modeling geometrically elaborate crack propagation in brittle materials
Article first published online: 16 JUN 2011
Copyright © 2011 John Wiley & Sons, Ltd.
International Journal for Numerical Methods in Engineering
Volume 88, Issue 10, pages 1042–1065, 9 December 2011
How to Cite
Richardson, C. L., Hegemann, J., Sifakis, E., Hellrung, J. and Teran, J. M. (2011), An XFEM method for modeling geometrically elaborate crack propagation in brittle materials. Int. J. Numer. Meth. Engng., 88: 1042–1065. doi: 10.1002/nme.3211
- Issue published online: 7 NOV 2011
- Article first published online: 16 JUN 2011
- Manuscript Accepted: 20 MAR 2011
- Manuscript Revised: 1 SEP 2010
- Manuscript Received: 13 APR 2010
- finite elements;
We present a method for simulating quasistatic crack propagation in 2-D which combines the extended finite element method (XFEM) with a general algorithm for cutting triangulated domains, and introduce a simple yet general and flexible quadrature rule based on the same geometric algorithm. The combination of these methods gives several advantages. First, the cutting algorithm provides a flexible and systematic way of determining material connectivity, which is required by the XFEM enrichment functions. Also, our integration scheme is straightforward to implement and accurate, without requiring a triangulation that incorporates the new crack edges or the addition of new degrees of freedom to the system. The use of this cutting algorithm and integration rule allows for geometrically complicated domains and complex crack patterns. Copyright © 2011 John Wiley & Sons, Ltd.