Reference : Stable 3D extended finite elements with higher order enrichment for accurate non plan...
Scientific journals : Article
Engineering, computing & technology : Multidisciplinary, general & others
Computational Sciences
http://hdl.handle.net/10993/34864
Stable 3D extended finite elements with higher order enrichment for accurate non planar fracture
English
Agathos, Konstantinos mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit]
Chatzi, Eleni [> >]
Bordas, Stéphane mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit]
2016
Computer Methods in Applied Mechanics & Engineering
306
19-46
Yes
International
[en] XFEM ; Geometrical enrichment ; Weight function blending ; Dof gathering ; Conditioning
[en] An extended finite element method (XFEM) for three dimensional (3D) non-planar linear elastic fracture is introduced, which provides optimal convergence through the use of enrichment in a fixed area around the crack front, while also improving the conditioning of the resulting system matrices. This is achieved by fusing a novel form of enrichment with existing blending techniques. Further, the adoption of higher order terms of theWilliams expansion is also considered and the effects in the accuracy and conditioning of the method are studied. Moreover, some problems regarding the evaluation of stress intensity factors (SIFs) and element partitioning are dealt with. The accuracy and convergence properties of the method as well as the conditioning of the resulting stiffness matrices are investigated through the use of appropriate benchmark problems. It is shown that the proposed approach provides increased accuracy while requiring, for all cases considered, a reduced number of iterations for the solution of the resulting systems of equations. The positive impact of geometrical enrichment is further demonstrated in the accuracy of the computed SIFs where, for the examined cases, an improvement of up to 40% is achieved.
Advanced Research Computing, Cardiff ; High Performance Computing (HPC) Wales ; Swiss National Science Foundation (SNSF) under Research Grant, Project # 200021-153379
http://hdl.handle.net/10993/34864
10.1016/j.cma.2016.03.023
https://www.scopus.com/inward/record.uri?eid=2-s2.0-84963774178&doi=10.1016%2fj.cma.2016.03.023&partnerID=40&md5=d145b9d69a5d8c7e6f0eb1d879db0e28
cited By 4
Scopus
FP7 ; 279578 - REALTCUT - Towards real time multiscale simulation of cutting in non-linear materials with applications to surgical simulation and computer guided surgery
FnR ; FNR10318764 > Stéphane Bordas > Fretting fatigue > Multi-Analysis Of Fretting Fatigue Using Physical And VirtualExperiments > 01/07/2016 > 30/06/2019 > 2015

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