NURBS-based geometries

A mapping approach for virtual serendipity elements

verfasst von
Peter Wriggers, Blaž Hudobivnik, Fadi Aldakheel
Abstract

A NURBS-based serendipity virtual element method for general (arbitrary) element shapes is outlined in this work. The low-order VEM ansatz function is now extended towards higher-order formulation. In comparison with the already existing serendipity VEM, a general mapping scheme is developed within this contribution allowing to deviate from the assumption of straight edges of virtual elements. A number of numerical examples illustrates the robustness and accuracy of the new mapping methodology. The results are very promising and underline the advantages of the formulations for dealing with arbitrary geometries.

Organisationseinheit(en)
Institut für Kontinuumsmechanik
Typ
Artikel
Journal
Computer Methods in Applied Mechanics and Engineering
Band
378
ISSN
0045-7825
Publikationsdatum
01.05.2021
Publikationsstatus
Veröffentlicht
Peer-reviewed
Ja
ASJC Scopus Sachgebiete
Numerische Mechanik, Werkstoffmechanik, Maschinenbau, Physik und Astronomie (insg.), Angewandte Informatik
Elektronische Version(en)
https://doi.org/10.1016/j.cma.2021.113732 (Zugang: Geschlossen)
 

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