A mixed variational formulation of a contact problem with adhesion

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.

Authors

Flavius Patrulescu
Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy

Keywords

variational formulation; frictional contact; normal compliance; unilateral constraint; adhesion

Cite this paper as

F. Pătrulescu, A mixed variational formulation of a contact problem with adhesion, Appl. Anal., vol. 97, no. 8(2018), pp. 1246-1260

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About this paper

Journal

Applicable Analysis

Publisher Name

Taylor & Francis, Abingdon, Oxfordshire

Print ISSN

0003-6811

Online ISSN

1563-504X

MR

3806223

ZBL

1391.74172

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References

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