2017
DOI: 10.1007/s00466-017-1427-y
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3D ductile crack propagation within a polycrystalline microstructure using XFEM

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Cited by 25 publications
(7 citation statements)
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“…237,244 Another multiscale method suitable for localization effects is based on XFEM/ GFEM. 226,227,[244][245][246][247][248] For specific finite elements on the macro scale, an enrichment scheme and enrichment functions are used to effectively map the behavior on the fine scale and thus directly incorporate it into the coarse scale simulation. Research on multi-scale simulation of fiber-reinforced composites shows that the inaccuracies to which geometrically conformal modeling of heterogeneities generally leads are negligible for sufficiently refined fine-scale meshes.…”
Section: Macroscopic Models Have the Advantage Of Very Fast Computationmentioning
confidence: 99%
See 1 more Smart Citation
“…237,244 Another multiscale method suitable for localization effects is based on XFEM/ GFEM. 226,227,[244][245][246][247][248] For specific finite elements on the macro scale, an enrichment scheme and enrichment functions are used to effectively map the behavior on the fine scale and thus directly incorporate it into the coarse scale simulation. Research on multi-scale simulation of fiber-reinforced composites shows that the inaccuracies to which geometrically conformal modeling of heterogeneities generally leads are negligible for sufficiently refined fine-scale meshes.…”
Section: Macroscopic Models Have the Advantage Of Very Fast Computationmentioning
confidence: 99%
“…Given boundary conditions derived from the macroscale solution, the fine‐scale region is simulated separately, and the result is either projected onto the macroscale 240–243 or coupled to the macroscale discretization 237,244 . Another multiscale method suitable for localization effects is based on XFEM/GFEM 226,227,244–248 . For specific finite elements on the macro scale, an enrichment scheme and enrichment functions are used to effectively map the behavior on the fine scale and thus directly incorporate it into the coarse scale simulation.…”
Section: Simulation and Modelingmentioning
confidence: 99%
“…Isogeometric analysis for scaled boundaries results from the use of a novel formulation on the basis of the scaled‐boundary finite element method (SBFEM) 17 and geometries described by trial functions based on nonuniform rational B‐splines (NURBS). In contrast, in the second project, the extended finite element method (XFEM) 18 and the generalized finite element method (GFEM) will be used and the multiscale projection methods 19 developed in order to simulate the resilience and the fracture behavior of heterogeneous structures and shells. The numerical advancements in research area C are to take place in close coordination with the undertaken experimental investigations on the development of internal shell structures 20 ‐ as the next step to resource‐efficient carbon reinforced concrete constructions ‐ and on the load‐bearing behavior of cracked carbon reinforced concrete membranes 21…”
Section: Selected Collaborative Research Focimentioning
confidence: 99%
“…Mit einer neuartigen Formulierung auf Basis der Scaled‐Boundary Finite Element Method (SBFEM) [17] und mit durch NURBS‐basierte Ansatzfunktionen beschriebenen Geometrien ergibt sich eine isogeometrische Analyse für skalierte Ränder (SBIGA). Demgegenüber wird in dem anderen Projekt die eXtended Finite Element Method (XFEM) [18] bzw. die Generalized Finite Element Method (GFEM) verwendet und die Mehrskalenprojektionsmethode [19] weiterentwickelt, um die Resilienz und das Bruchverhalten heterogener Strukturen bzw.…”
Section: Ausgewählte üBergreifende Forschungskomplexeunclassified