Formulation of the tangential velocity slip problem in terms of variational inequalities-Reference-Cited by-同舟云学术

Formulation of the tangential velocity slip problem in terms of variational inequalities

Published:2014-04-25 Issue:10 Volume:228 Page:1122-1135
ISSN:1350-6501
Container-title:Proceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology
language:en
Short-container-title:Proceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology

Author:

Strozzi Antonio¹,Giacopini Matteo¹,Bertocchi Enrico¹,Dini Daniele²

Affiliation:

1. Department of Engineering Enzo Ferrari, University of Modena and Reggio Emilia, Italy

2. Tribology Group, Imperial College London, South Kensington Campus, UK

Abstract

This contribution deals with a modelling of the tangential velocity slip problem in terms of variational inequalities. In particular, various technical situations for which the slippage problem appears to play an important role are first reviewed. Then, a mathematical formulation in terms of variational inequalities is developed where the critical shear stress criterion is considered. The theoretical conditions under which a unique solution exists are also discussed and an algebraic description based upon a complementarity approach is presented. Preliminary numerical results end the paper and a validation versus an analytical solution is proposed.

Publisher

SAGE Publications

Subject

Surfaces, Coatings and Films,Surfaces and Interfaces,Mechanical Engineering

Link

http://journals.sagepub.com/doi/pdf/10.1177/1350650114530680

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