A well‐conditioned and optimally convergent XFEM for 3D linear elastic fracture

A well‐conditioned and optimally convergent XFEM for 3D linear elastic fractureK Agathos, E Chatzi, S Bordas… - International Journal for …, 2015 - Wiley Online LibrarySummary A variation of the extended finite element method for three-dimensional fracture
mechanics is proposed. It utilizes a novel form of enrichment and point-wise and integral
matching of displacements of the standard and enriched elements in order to achieve ...Cited by 2 Cite Saved

porwait.com [PDF][PDF] XFEM with global enrichment for 3D cracksK Agathos, E Chatzi, S Bordas, D Talaslidis - 2015 - orbiluuni.porwait.comAbstract:[en] We present an extended finite element method (XFEM) based on fixed area
enrichment which 1) suppresses the difficulties associated with ill-conditioning, even for"
large" enrichment radii; 2) requires 50 times fewer enriched degrees of freedom (for a ...Cite Saved More

uni.lu [PDF]XFEM with global enrichment for 3D crack growthK Agathos, E Chatzi, S Bordas… - … Numerical Analysis Week, 2015 - orbilu.uni.luAbstract:[en] We present an extended finite element method (XFEM) based on fixed area
enrichment which 1) suppresses the difficulties associated with ill-conditioning, even for"
large" enrichment radii; 2) requires 50 times fewer enriched degrees of freedom (for a ...Cite Saved

uni.lu [PDF][CITATION] Stable 3D extended finite elements with higher order enrichment for accurate non planar fractureK Agathos, E Chatzi, S Bordas - Computer Methods in Applied …, 2015 - orbilu.uni.luAbstract We present an extended finite element method (XFEM) for 3D non-planar 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 ...Cite Saved

uni.lu [PDF][CITATION] Extended Finite Element Method with Global EnrichmentK Agathos, E Chatzi, S Bordas… - International Journal for …, 2015 - publications.uni.luDate Submitted by the Author: n/a ... Complete List of Authors: Agathos, Konstantinos; Aristotle
University Thessaloniki, Civil Engineering Chatzi, Eleni; ETH Zurich, Bordas, Stéphane PA; Cardiff
University, Institute of Mechanics & Advanced Materials Talaslidis, Demosthenes; ...Related articles All 4 versions Cite Saved

uni.lu [PDF]Isogeometric boundary element methods for three dimensional fatigue crack growthX Peng, E Atroshchenko, P Kerfriden, S Bordas - 2015 - orbilu.uni.lu

Abstract:[en] The isogeometric boundary element method (IGABEM) based on NURBS is
adopted to model fracture problem in 3D. The NURBS basis functions are used in both crack