Reference : A well-conditioned and optimally convergent XFEM for 3D linear elastic fracture

	Document type :	Scientific journals : Article
	Discipline(s) :	Engineering, computing & technology : Multidisciplinary, general & others
	Focus Areas :	Computational Sciences
	To cite this reference:	http://hdl.handle.net/10993/19960

Title :	A well-conditioned and optimally convergent XFEM for 3D linear elastic fracture
Language :	English
Author, co-author :	Agathos, Konstantinos [Aristotle University Thessaloniki > Civil Engineering]
	Chatzi, Eleni []
	Bordas, Stéphane [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
	Talaslidis, Demosthenes []
Publication date :	Undated
Journal title :	International Journal for Numerical Methods in Engineering
Publisher :	Wiley
Peer reviewed :	Yes (verified by ORBilu)
Audience :	International
ISSN :	0029-5981
e-ISSN :	1097-0207
City :	Chichester
Country :	United Kingdom
Keywords :	[en] global enrichment ; XFEM ; fracture ; 3D Crack ; conditioning ; preconditioner ; crack propagation ; SIF ; stress intensity factor ; blending element ; blending correction ; point-wise matching ; dof gathering
Abstract :	[en] A variation of the extended finite element method for 3D fracture mechanics is proposed. It utilizes global enrichment and point-wise as well as integral matching of displacements of the standard and enriched elements in order to achieve higher accuracy, optimal convergence rates and improved conditioning for two and three dimensional crack problems. A bespoke benchmark problem is introduced to determine the method's accuracy in the general 3D case where it is demonstrated that the proposed approach improves the accuracy and reduces the number of iterations required for the iterative solution of the resulting system of equations by 40% for moderately refined meshes and topological enrichment. Moreover, when a fixed enrichment volume is used, the number of iterations required grows at a rate which is reduced by a factor of 2 compared to standard XFEM, diminishing the number of iterations by almost one order of magnitude.
Target :	Researchers ; Professionals ; Students ; Others
Permalink :	http://hdl.handle.net/10993/19960
DOI :	10.1002/nme.4982
Other URL :	http://onlinelibrary.wiley.com/doi/10.1002/nme.4982/full
Framework Programme / European Project :	FP7 ; 279578 - REALTCUT - Towards real time multiscale simulation of cutting in non-linear materials with applications to surgical simulation and computer guided surgery

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