On a contact problem for a viscoelastic von Karman plate and its semidiscretization

Solvability of Dynamic Contact Problems for Elastic von Kármán Plates

“…The aim of the present paper is to extend these results to the nonlinear von Kármán plates in contact with a rigid obstacle. The presented results also extend the research made for the quasistatic contact problems for these plates [3] and [4]. The solvability of dynamic contact problems for von Kármán plates with short and long memory has been proved in [1] and [2], respectively.…”

Unilateral dynamic contact of von Kármán plates with singular memory

“…Dynamic problems for viscoelastic von Kármán system with the emphasis on decay rates of solutions were treated in [10] where the viscosity does not appear in the equation for the Airy stress function and no contact is considered. The solvability of quasistatic contact problems for such model was solved in [2] and [3] while the dynamic contact problem for short memory material has been studied in [1].…”