A second-order penalty-based node-to-segment contact using the Virtual Element Method

authored by: Tiago Fernandes Moherdaui, Alfredo Gay Neto, Peter Wriggers
Abstract: The Node-to-Segment (NTS) method enhanced computational contact mechanics by enabling contact analysis with large deformations with contact location as part of the unknowns. Despite having shortcomings, it is still to this day largely employed by the industry for contact analysis between continuous surfaces due to its low computational cost and scalability, instead of more precise, mathematically sound, but more computationally expensive methods. The method's persistent relevance inspired attempts at improving its performance, usually for first-order elements. It is well known that NTS is not working well for higher orders due to its topological inconsistency. This work proposes a way of reducing the side-effects of the second order penalty-based Node-to-Segment method without adding complexity to contact detection or formulation. This can be achieved using virtual elements to describe the adjacent continuum, because of a filter effect introduced by the polynomial projection used in stress post-processing, which reduces the stress oscillations resulting from higher order penalty-based Node-to-Segment methods.
Organisation(s): Institute of Continuum Mechanics
External Organisation(s): Universidade de Sao Paulo
Type: Article
Journal: Finite Elements in Analysis and Design
Volume: 237
No. of pages: 13
ISSN: 0168-874X
Publication date: 15.09.2024
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Analysis, Engineering(all), Computer Graphics and Computer-Aided Design, Applied Mathematics
Electronic version(s): https://doi.org/10.1016/j.finel.2024.104183 (Access: Closed)
: Details in the research portal "Research@Leibniz University"

BibTeX

@article{4aa35131aeec4e39a91abbf5b6f07d5a,
title = "A second-order penalty-based node-to-segment contact using the Virtual Element Method",
abstract = "The Node-to-Segment (NTS) method enhanced computational contact mechanics by enabling contact analysis with large deformations with contact location as part of the unknowns. Despite having shortcomings, it is still to this day largely employed by the industry for contact analysis between continuous surfaces due to its low computational cost and scalability, instead of more precise, mathematically sound, but more computationally expensive methods. The method's persistent relevance inspired attempts at improving its performance, usually for first-order elements. It is well known that NTS is not working well for higher orders due to its topological inconsistency. This work proposes a way of reducing the side-effects of the second order penalty-based Node-to-Segment method without adding complexity to contact detection or formulation. This can be achieved using virtual elements to describe the adjacent continuum, because of a filter effect introduced by the polynomial projection used in stress post-processing, which reduces the stress oscillations resulting from higher order penalty-based Node-to-Segment methods.",
keywords = "Node-to-segment contact, Virtual element method",
author = "Moherdaui, {Tiago Fernandes} and {Gay Neto}, Alfredo and Peter Wriggers",
note = "Publisher Copyright: {\textcopyright} 2024 Elsevier B.V.",
year = "2024",
month = sep,
day = "15",
doi = "10.1016/j.finel.2024.104183",
language = "English",
volume = "237",
journal = "Finite Elements in Analysis and Design",
issn = "0168-874X",
publisher = "Elsevier",
}