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A virtual element method for frictional contact including large deformations

Peter Wriggers (Department of Mechanical Engineering, Leibniz University Hanover, Hannover, Germany)
Wilhelm T. Rust (Department of Mechanical Engineering, Leibniz University Hanover, Hannover, Germany)

Engineering Computations

ISSN: 0264-4401

Article publication date: 20 June 2019

Issue publication date: 12 September 2019

521

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.

Keywords

Acknowledgements

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).

Citation

Wriggers, P. and Rust, W.T. (2019), "A virtual element method for frictional contact including large deformations", Engineering Computations, Vol. 36 No. 7, pp. 2133-2161. https://doi.org/10.1108/EC-02-2019-0043

Publisher

:

Emerald Publishing Limited

Copyright © 2019, Emerald Publishing Limited

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