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Arbitrary branched and intersecting cracks with the extended finite element method

✍ Scribed by Christophe Daux; Nicolas Moës; John Dolbow; Natarajan Sukumar; Ted Belytschko

Publisher
John Wiley and Sons
Year
2000
Tongue
English
Weight
294 KB
Volume
48
Category
Article
ISSN
0029-5981

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✦ Synopsis

Extensions of a new technique for the ÿnite element modelling of cracks with multiple branches, multiple holes and cracks emanating from holes are presented. This extended ÿnite element method (X-FEM) allows the representation of crack discontinuities and voids independently of the mesh. A standard displacementbased approximation is enriched by incorporating discontinuous ÿelds through a partition of unity method. A methodology that constructs the enriched approximation based on the interaction of the discontinuous geometric features with the mesh is developed. Computation of the stress intensity factors (SIF) in di erent examples involving branched and intersecting cracks as well as cracks emanating from holes are presented to demonstrate the accuracy and the robustness of the proposed technique.

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