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Isogeometric Shell Analysis with NURBS Compatible Subdivision Surfaces

Riffnaller-Schiefer, Andreas and Augsdörfer, Ursula H. and Fellner, Dieter W. (2016):
Isogeometric Shell Analysis with NURBS Compatible Subdivision Surfaces.
272, In: Applied Mathematics and Computation, (Part1), pp. 139-147Availableonline18July2015, DOI: 10.1016/j.amc.2015.06.113,
[Article]

Abstract

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.

Item Type: Article
Erschienen: 2016
Creators: Riffnaller-Schiefer, Andreas and Augsdörfer, Ursula H. and Fellner, Dieter W.
Title: Isogeometric Shell Analysis with NURBS Compatible Subdivision Surfaces
Language: English
Abstract:

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.

Journal or Publication Title: Applied Mathematics and Computation
Volume: 272
Number: Part1
Uncontrolled Keywords: Forschungsgruppe Semantic Models, Immersive Systems (SMIS), Isogeometry, Subdivision surfaces, NURBS
Divisions: 20 Department of Computer Science
20 Department of Computer Science > Mathematical and Applied Visual Computing
Date Deposited: 06 May 2019 10:18
DOI: 10.1016/j.amc.2015.06.113
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