NURBS-based geometries

A mapping approach for virtual serendipity elements

authored by
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.

Organisation(s)
Institute of Continuum Mechanics
Type
Article
Journal
Computer Methods in Applied Mechanics and Engineering
Volume
378
ISSN
0045-7825
Publication date
01.05.2021
Publication status
Published
Peer reviewed
Yes
ASJC Scopus subject areas
Computational Mechanics, Mechanics of Materials, Mechanical Engineering, Physics and Astronomy(all), Computer Science Applications
Electronic version(s)
https://doi.org/10.1016/j.cma.2021.113732 (Access: Closed)
 

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