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Isogeometric shell analysis with NURBS compatible subdivision surfaces

: Riffnaller-Schiefer, A.; Augsdörfer, Ursula H.; Fellner, Dieter W.


Applied mathematics and computation 272 (2016), Pt.1, pp.139-147
ISSN: 0096-3003
Journal Article
Fraunhofer IGD ()
isogeometry; subdivision surfaces; NURBS; Forschungsgruppe Semantic Models, Immersive Systems (SMIS)

We present a discretisation of Kirchhoff-Love thin shells based on a subdivision algorithm that generalizes NURBS to arbitrary topology. The isogeometric framework combines the advantages of both subdivision and NURBS, enabling higher degree analysis on watertight meshes of arbitrary geometry, including conic sections. Because multiple knots are supported, it is possible to benefit from symmetries in the geometry for a more efficient subdivision based analysis. The use of the new subdivision algorithm is an improvement to the flexibility of current isogeometric analysis approaches and allows new use cases.