A mixed variational formulation of a contact problem with adhesion

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.

Flavius Patrulescu
Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy

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

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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3806223

1391.74172

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