caa a22 4500 47579737X CHVBK 20180406123728.0 cr unu---uuuuu 170329e20000301xx s 000 0 eng 10.1007/s000330050196 doi (NATIONALLICENCE)springer-10.1007/s000330050196 Abstract evolution equations for viscoelastic frictional contact problems [Elektronische Daten] [B. Awbi, M. Sofonea, M. Rochdi] Abstract.: We analyze a nonlinear abstract evolution problem describing a class of frictional contact processes between a viscoelastic body and a foundation. The problem is set as a time-dependent differential inclusion. The existence of a unique solution is established using the theory of elliptic variational inequalities and Banach's fixed point theorem. A dual formulation of the problem is also introduced and an equivalence result between the two problems is proved. Finally, the abstract results obtained are used to solve some frictional contact problems for viscoelastic materials. Birkhäuser Verlag, Basel,, 2000 Key words. Evolution equation, strongly monotone operator, subdifferential, fixed point, dual problem, nonlinear viscoelastic material, bilateral contact, Coulomb's friction law, normal compliance nationallicence Awbi B. Laboratoire de Théorie des Systèmes, Université de Perpignan, 52 Avenue de Villeneuve, 66860 Perpignan, France, FR aut Sofonea M. Laboratoire de Théorie des Systèmes, Université de Perpignan, 52 Avenue de Villeneuve, 66860 Perpignan, France, FR aut Rochdi M. Institut de Recherche en Mathématiques et Informatique Appliquées, Université de La Réunion, 97715 Saint-Denis, Ile de La Réunion, France, FR aut https://doi.org/10.1007/s000330050196 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s000330050196 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Awbi B. Laboratoire de Théorie des Systèmes, Université de Perpignan, 52 Avenue de Villeneuve, 66860 Perpignan, France, FR aut NATIONALLICENCE 700 1- Sofonea M. Laboratoire de Théorie des Systèmes, Université de Perpignan, 52 Avenue de Villeneuve, 66860 Perpignan, France, FR aut NATIONALLICENCE 700 1- Rochdi M. Institut de Recherche en Mathématiques et Informatique Appliquées, Université de La Réunion, 97715 Saint-Denis, Ile de La Réunion, France, FR aut Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer