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.

Formulation of the tangential velocity slip problem in terms of variational inequalities / Strozzi, Antonio; Giacopini, Matteo; Bertocchi, Enrico; Dini, D.. - In: PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS. PART J, JOURNAL OF ENGINEERING TRIBOLOGY. - ISSN 1350-6501. - ELETTRONICO. - 228(2014), pp. 1122-1135. [10.1177/1350650114530680]

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

STROZZI, Antonio;GIACOPINI, Matteo;BERTOCCHI, Enrico;
2014

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.
228
1122
1135
Formulation of the tangential velocity slip problem in terms of variational inequalities / Strozzi, Antonio; Giacopini, Matteo; Bertocchi, Enrico; Dini, D.. - In: PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS. PART J, JOURNAL OF ENGINEERING TRIBOLOGY. - ISSN 1350-6501. - ELETTRONICO. - 228(2014), pp. 1122-1135. [10.1177/1350650114530680]
Strozzi, Antonio; Giacopini, Matteo; Bertocchi, Enrico; Dini, D.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11380/1072771
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