Details
| Original language | English |
|---|---|
| Article number | 113732 |
| Journal | Computer Methods in Applied Mechanics and Engineering |
| Volume | 378 |
| Early online date | 27 Feb 2021 |
| Publication status | Published - 1 May 2021 |
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.
Keywords
- Bezier splines, Higher-order formulations, Isoparametric maps, Serendipity elements, Virtual element method (VEM)
ASJC Scopus subject areas
- Engineering(all)
- Computational Mechanics
- Engineering(all)
- Mechanics of Materials
- Engineering(all)
- Mechanical Engineering
- Physics and Astronomy(all)
- General Physics and Astronomy
- Computer Science(all)
- Computer Science Applications
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In: Computer Methods in Applied Mechanics and Engineering, Vol. 378, 113732, 01.05.2021.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - NURBS-based geometries
T2 - A mapping approach for virtual serendipity elements
AU - Wriggers, Peter
AU - Hudobivnik, Blaž
AU - Aldakheel, Fadi
N1 - Funding Information: The first author gratefully acknowledges support for this research by the “German Research Foundation” (DFG) in the collaborative research center CRC 1153 while the third author acknowledges support for this research by the DFG–Priority Program SPP 2020 under the project WR 19/58-2.
PY - 2021/5/1
Y1 - 2021/5/1
N2 - 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.
AB - 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.
KW - Bezier splines
KW - Higher-order formulations
KW - Isoparametric maps
KW - Serendipity elements
KW - Virtual element method (VEM)
UR - http://www.scopus.com/inward/record.url?scp=85101640573&partnerID=8YFLogxK
U2 - 10.1016/j.cma.2021.113732
DO - 10.1016/j.cma.2021.113732
M3 - Article
AN - SCOPUS:85101640573
VL - 378
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
SN - 0045-7825
M1 - 113732
ER -