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Articles

A mixed variational formulation of a contact problem with adhesion

Pages 1246-1260 | Received 02 Aug 2015, Accepted 11 Mar 2016, Published online: 28 Mar 2016
 

Abstract

A mathematical model describing the contact between a viscoplastic body and a deformable foundation is analyzed under small deformation hypotheses. The process is quasistatic and in normal direction the contact is with adhesion, normal compliance, memory effects and unilateral constraint. We derive a mixed-variational formulation of the problem using Lagrange multipliers. Finally, we prove the unique weak solvability of the contact problem.

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Notes

No potential conflict of interest was reported by the authors.

Additional information

Funding

The work of the author has been partially supported by projects LEA Math Mode 2014/2015 and POSDRU/159/1.5/S/132400: Young successful researchers-professional development in an international and interdisciplinary environment at Babeş-Bolyai University.

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