Modeling and analysis of a contact problem for a viscoelastic rod

Krzysztof Bartosz (1) , Mircea Sofonea (2)

1 Institute of Computer Science [Krakow]
2 LAMPS - LAboratoire de Modélisation Pluridisciplinaire et Simulations

We consider a nonlinear viscoelastic rod which is in contact with a foundation along its length and is in contact with an obstacle at its end. The rod is acted up by body forces and, as a result, its mechanical state evolves. Our aim in this paper is twofold. The first one is to construct an appropriate mathematical model which describes the evolution of the rod. The second one is to prove the weak solvability of the problem. To this end, we use arguments on second-order inclusions with multivalued pseudomonotone operators.

Domaines: Mathématiques [math]

Krzysztof Bartosz, Mircea Sofonea. Modeling and analysis of a contact problem for a viscoelastic rod. Zeitschrift für Angewandte Mathematik und Physik, 2016, 67 (5), ⟨10.1007/s00033-016-0718-z⟩. ⟨hal-01411276⟩