Extended finite element method coupled with face‐based strain smoothing technique for three‐dimensional fracture problems. (28th January 2015)

• Record Type: Journal Article
• Authors: Jiang, Y.; Tay, T. E.; Chen, L.; Zhang, Y. W.
• Is Part Of: International journal for numerical methods in engineering. Volume 102:Number 13(2015)
• Page Start: 1894
• Page End: 1916
• Publication Date: 2015-01-28
• Subjects: Numerical analysis -- Periodicals; Engineering mathematics -- Periodicals; 620.001518
• DOI: 10.1002/nme.4878
• Languages: English
• ISSNs: 0029-5981

Abstract

<abstract abstract-type="main" id="nme4878-abs-0001"> <title>Summary</title> <p id="nme4878-para-0001">In this work, the extended finite element method (XFEM) is for the first time coupled with face‐based strain‐smoothing technique to solve three‐dimensional fracture problems. This proposed method, which is called face‐based smoothed XFEM here, is expected to combine both the advantages of XFEM and strain‐smoothing technique. In XFEM, arbitrary crack geometry can be modeled and crack advance can be simulated without remeshing. Strain‐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, efficiency, and convergence rate of the face‐based smoothed XFEM. From the results, it is clear that smoothing technique can improve the performance of XFEM for three‐dimensional fracture problems. Copyright © 2015 John Wiley &amp; Sons, Ltd.</p> </abstract>