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.
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
Taylor & Francis, Abingdon, Oxfordshire