Curvilinear virtual elements for contact mechanics

authored by: Fadi Aldakheel, Blaž Hudobivnik, Edoardo Artioli, Lourenço Beirão da Veiga, Peter Wriggers
Abstract: The virtual element method (VEM) for curved edges with applications to contact mechanics is outlined within this work. VEM allows the use of non-matching meshes at interfaces with the advantage that these can be mapped to a simple node-to-node contact formulation. To account for exact approximation of complex geometries at interfaces, we developed a VEM technology for contact that considers curved edges. A number of numerical examples illustrate the robustness and accuracy of this discretization technique. The results are very promising and underline the advantages of the new VEM formulation for contact between two elastic bodies in the presence of curved interfaces.
Organisation(s): Institute of Continuum Mechanics
External Organisation(s): Tor Vergata University of Rome
University of Milan - Bicocca (UNIMIB)
Type: Article
Journal: Computer Methods in Applied Mechanics and Engineering
Volume: 372
ISSN: 0045-7825
Publication date: 01.12.2020
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Computational Mechanics, Mechanics of Materials, Mechanical Engineering, General Physics and Astronomy, Computer Science Applications
Electronic version(s): https://doi.org/10.1016/j.cma.2020.113394 (Access: Open)
: Details in the research portal "Research@Leibniz University"

BibTeX

@article{6eb8cf6ef6ca4d74b76672e3dc9e26dd,
title = "Curvilinear virtual elements for contact mechanics",
abstract = "The virtual element method (VEM) for curved edges with applications to contact mechanics is outlined within this work. VEM allows the use of non-matching meshes at interfaces with the advantage that these can be mapped to a simple node-to-node contact formulation. To account for exact approximation of complex geometries at interfaces, we developed a VEM technology for contact that considers curved edges. A number of numerical examples illustrate the robustness and accuracy of this discretization technique. The results are very promising and underline the advantages of the new VEM formulation for contact between two elastic bodies in the presence of curved interfaces.",
keywords = "Contact discretization, Curved edges, Non-conforming mesh, Virtual element method (VEM)",
author = "Fadi Aldakheel and Bla{\v z} Hudobivnik and Edoardo Artioli and {Beir{\~a}o da Veiga}, Louren{\c c}o and Peter Wriggers",
note = "Funding Information: The authors F. Aldakheel and P. Wriggers gratefully acknowledge support for this research by the “German Research Foundation” (DFG) in (i) the collaborative research center CRC 1153 and (ii) the Priority Program SPP 2020 within their second funding phases. The author L. Beirao da Veiga was partially supported by the European Research Council through the H2020 Consolidator Grant (Grant No. 681162 ) CAVE, Challenges and Advancements in Virtual Elements, and by the MIUR, Italy through the PRIN Grant No. 201744KLJL (this support is gratefully acknowledged). The author E. Artioli gratefully acknowledges the partial financial support of PRIN 2017 , Italy project “3D Printing: a bridge to the future (3DP_Future). Computational methods, innovative applications, experimental validations of new materials and technologies”, grant 2017L7X3CS_004 .",
year = "2020",
month = dec,
day = "1",
doi = "10.1016/j.cma.2020.113394",
language = "English",
volume = "372",
journal = "Computer Methods in Applied Mechanics and Engineering",
issn = "0045-7825",
publisher = "Elsevier",
}