Journal
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
Volume 88, Issue 10, Pages 1042-1065Publisher
WILEY
DOI: 10.1002/nme.3211
Keywords
finite elements; XFEM; fracture
Funding
- UC Lab Fees [09-LR-04-116741-BERA]
- Office of Naval Research [N00014-03-1-0071, N00014-10-1-0730]
- National Science Foundation [DMS-0914813, CCF-0830554, DMS-0714945]
- Division of Computing and Communication Foundations
- Direct For Computer & Info Scie & Enginr [0830554] Funding Source: National Science Foundation
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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 (C) 2011 John Wiley & Sons, Ltd.
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