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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