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
Stable 3D extended finite elements with higher order enrichment for accurate non planar fracture
Agathos, Konstantinos mailto [Aristotle University of Thessaloniki]
Chatzi, Eleni mailto [ETH Zurich]
Bordas, Stéphane mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
Computer Methods in Applied Mechanics and Engineering
Elsevier Science
Yes (verified by ORBilu)
[en] XFEM ; geometrical enrichment ; weight function blending ; dof gathering ; conditioning
[en] We present an extended finite element method (XFEM) for 3D nonplanar
linear elastic fracture. The new approach not only provides
optimal convergence using geometrical enrichment but also enables to
contain the increase in conditioning number characteristic of enriched
finite element formulations: the number of iterations to convergence of
the conjugate gradient solver scales similarly to and converges faster
than the topologically-enriched version of the standard XFEM. This has
two advantages: (1) the residual can be driven to zero to machine
precision for at least 50% fewer iterations than the standard version of
XFEM; (2) additional enrichment functions can be added without
significant deterioration of the conditioning. Numerical examples also
show that our new approach is up to 40% more accurate in terms of stress
intensity factors, than the standard XFEM.
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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