Dokument-ID Dokumenttyp Verfasser/Autoren Herausgeber Haupttitel Abstract Auflage Verlagsort Verlag Erscheinungsjahr Seitenzahl Schriftenreihe Titel Schriftenreihe Bandzahl ISBN Quelle der Hochschulschrift Konferenzname Quelle:Titel Quelle:Jahrgang Quelle:Heftnummer Quelle:Erste Seite Quelle:Letzte Seite URN DOI Abteilungen OPUS4-3390 Wissenschaftlicher Artikel Chen, Lei; Rabczuk, Timon; Liu, G.R.; Zeng, K.Y.; Kerfriden, Pierre; Bordas, Stéphane Pierre Alain Extended finite element method with edge-based strain smoothing (ESm-XFEM) for linear elastic crack growth This paper presents a strain smoothing procedure for the extended finite element method (XFEM). The resulting "edge-based" smoothed extended finite element method (ESm-XFEM) is tailored to linear elastic fracture mechanics and, in this context, to outperform the standard XFEM. In the XFEM, the displacement-based approximation is enriched by the Heaviside and asymptotic crack tip functions using the framework of partition of unity. This eliminates the need for the mesh alignment with the crack and re-meshing, as the crack evolves. Edge-based smoothing (ES) relies on a generalized smoothing operation over smoothing domains associated with edges of simplex meshes, and produces a softening effect leading to a close-to-exact stiffness, "super-convergence" and "ultra-accurate" solutions. The present method takes advantage of both the ES-FEM and the XFEM. Thanks to the use of strain smoothing, the subdivision of elements intersected by discontinuities and of integrating the (singular) derivatives of the approximation functions is suppressed via transforming interior integration into boundary integration. Numerical examples show that the proposed method improves significantly the accuracy of stress intensity factors and achieves a near optimal convergence rate in the energy norm even without geometrical enrichment or blending correction. Computer Methods in Applied Mechanics and Engineering 10.1016/j.cma.2011.08.013 Institut für Strukturmechanik (ISM) OPUS4-3342 Wissenschaftlicher Artikel Chen, Lei; Nguyen-Thanh, Nhon; Nguyen-Xuan, Hung; Rabczuk, Timon; Bordas, Stéphane Pierre Alain; Limbert, Georges Explicit finite deformation analysis of isogeometric membranes Explicit finite deformation analysis of isogeometric membranes 26 Computer Methods in Applied Mechanics and Engineering 104 130 Institut für Strukturmechanik (ISM)