Reference : Stable 3D XFEM/vector-level sets for non-planar 3D crack propagation and comparison o...
Scientific journals : Article
Engineering, computing & technology : Multidisciplinary, general & others
Computational Sciences
http://hdl.handle.net/10993/29756
Stable 3D XFEM/vector-level sets for non-planar 3D crack propagation and comparison of enrichment schemes
English
Agathos, Konstantinos mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
Ventura, Giulio mailto [Politecnico di Torino > Structural, Geotechnical and Building Engineering]
Chatzi, Eleni mailto [ETH Zurich > Civil, Environmental, and Geomatic Engineering]
Bordas, Stéphane mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
2017
International Journal for Numerical Methods in Engineering
Wiley
Yes (verified by ORBilu)
International
0029-5981
1097-0207
Chichester
United Kingdom
[en] XFEM ; geometrical enrichment ; linear enrichment ; vector level sets ; crack propagation
[en] We present a three-dimensional (3D) vector level set method coupled to a recently developed stable extended finite element method (XFEM). We further investigate a new enrichment approach for XFEM adopting discontinuous linear enrichment functions in place of the asymptotic near-tip functions. Through the vector level set method, level set values for propagating cracks are obtained via simple geometrical operations, eliminating the need for solution of differential evolution equations. The first XFEM variant ensures optimal convergence rates by means of geometrical enrichment, i.e., the use of enriched elements in a fixed volume around the crack front, without giving rise to conditioning problems. The linear enrichment approach significantly simplifies implementation and reduces the computational cost associated with numerical integration. The two dicretization schemes are tested for different benchmark problems, and their combination to the vector level set method is verified for non-planar crack propagation problems.
ERC Stg grant agreement No. 279578 ; Fonds National de la Recherche Luxembourg FWO-FNR grant INTER/FWO/15/10318764 ; Swiss National Science Foundation research grant # 200021_153379
http://hdl.handle.net/10993/29756
FnR ; FNR10318764 > Stephane Bordas > Fretting fatigue > Multi-analysis of fretting fatigue using physical and virtualexperiments > 01/07/2016 > 30/06/2019 > 2015

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