Last modified: 2014-07-13
Abstract
In this work, a face-based smoothed extended finite element method (FS-XFEM) is developed for three-dimensional fracture problems. This method combines the extended finite element method (XFEM) and smoothing technique together. With XFEM, arbitrary crack geometry can be modeled and crack advance can be simulated without remeshing. Smoothing technique can eliminate the integration of singular term over the volume around the crack front, thanks to the transformation of volume integration into area integration. Special smoothing scheme is implemented in the crack front smoothing domain. Three examples are presented to test the accuracy and convergence rate of the FS-XFEM. From the results, it is clear smoothing technique can improve the performance of XFEM for three-dimensional fracture problems.
Keywords
References
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