Dynamic fracture with meshfree enriched XFEM

The enrichment of the extended finite element method (XFEM) by meshfree approximations is studied. The XFEM allows for modeling arbitrary discontinuities, but with low order elements the accuracy often needs improvement. Here, the meshfree approximation is used as an enrichment in a cluster of nodes...

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Veröffentlicht in:Acta mechanica 2010-08, Vol.213 (1-2), p.53-69
Hauptverfasser: Menouillard, Thomas, Belytschko, Ted
Format: Artikel
Sprache:eng
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Zusammenfassung:The enrichment of the extended finite element method (XFEM) by meshfree approximations is studied. The XFEM allows for modeling arbitrary discontinuities, but with low order elements the accuracy often needs improvement. Here, the meshfree approximation is used as an enrichment in a cluster of nodes about the crack tip to improve accuracy. Several numerical examples show that this leads to more accuracy for stress intensity factors computations, and to the capability to capture the branching point of a propagating crack from the stresses.
ISSN:0001-5970
1619-6937
DOI:10.1007/s00707-009-0275-z