Author:
Wriggers Peter,Rust Wilhelm T.
Abstract
PurposeThis paper aims to describe the application of the virtual element method (VEM) to contact problems between elastic bodies.Design/methodology/approachPolygonal 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.FindingsThe 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/valueThis work is completely new as this is the first time, as per the authors’ knowledge, the VEM is applied to large deformation contact.
Subject
Computational Theory and Mathematics,Computer Science Applications,General Engineering,Software
Reference41 articles.
1. Virtual elements for linear elasticity problems;SIAM Journal on Numerical Analysis,2013
2. A virtual element method for elastic and inelastic problems on polytope meshes;Computer Methods in Applied Mechanics and Engineering,2015
3. Stability analysis for the virtual element method;Mathematical Models and Methods in Applied Sciences,2017
4. The virtual element method with curved edges,2017
5. The hitchhiker’s guide to the virtual element method;Mathematical Models and Methods in Applied Sciences,2014
Cited by
22 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献