A virtual element method for frictional contact including large deformations

authored by: Peter Wriggers, Wilhelm T. Rust
Abstract: Purpose: This paper aims to describe the application of the virtual element method (VEM) to contact problems between elastic bodies. Design/methodology/approach: Polygonal elements with arbitrary shape allow a stable node-to-node contact enforcement. By adaptively adjusting the polygonal mesh, this methodology is extended to problems undergoing large frictional sliding. Findings: The virtual element is well suited for large deformation contact problems. The issue of element stability for this specific application is discussed, and the capability of the method is demonstrated by means of numerical examples. Originality/value: This work is completely new as this is the first time, as per the authors’ knowledge, the VEM is applied to large deformation contact.
Organisation(s): Institute of Continuum Mechanics
Type: Article
Journal: Engineering Computations (Swansea, Wales)
Volume: 36
Pages: 2133-2161
No. of pages: 29
ISSN: 0264-4401
Publication date: 12.08.2019
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Software, Engineering(all), Computer Science Applications, Computational Theory and Mathematics
Electronic version(s): https://doi.org/10.1108/ec-02-2019-0043 (Access: Closed)
: Details in the research portal "Research@Leibniz University"

BibTeX

@article{3d0dc1727e7a4c308552834cdd848ec6,
title = "A virtual element method for frictional contact including large deformations",
abstract = "Purpose: This paper aims to describe the application of the virtual element method (VEM) to contact problems between elastic bodies. Design/methodology/approach: Polygonal elements with arbitrary shape allow a stable node-to-node contact enforcement. By adaptively adjusting the polygonal mesh, this methodology is extended to problems undergoing large frictional sliding. Findings: The virtual element is well suited for large deformation contact problems. The issue of element stability for this specific application is discussed, and the capability of the method is demonstrated by means of numerical examples. Originality/value: This work is completely new as this is the first time, as per the authors{\textquoteright} knowledge, the VEM is applied to large deformation contact.",
keywords = "Adaptive meshing, Contact discretization, Node-to-node contact, Non-conforming mesh, Virtual element method (VEM)",
author = "Peter Wriggers and Rust, {Wilhelm T.}",
note = "Funding information: The first author would like to acknowledge the support of the {"}Deutsche Forschungsgemeinschaft{"} under contract {"}Novel finite element technologies for anisotropic media{"} via the priority program {"}Reliable Simulation Techniques in Solid Mechanics, Development of Non-standard Discretization Methods, Mechanical and Mathematical Analysis{"} (SPP 1748).",
year = "2019",
month = aug,
day = "12",
doi = "10.1108/ec-02-2019-0043",
language = "English",
volume = "36",
pages = "2133--2161",
journal = "Engineering Computations (Swansea, Wales)",
issn = "0264-4401",
publisher = "Emerald Group Publishing Ltd.",
number = "7",
}