Touzaline, Arezki A quasistatic contact problem with adhesion and friction for viscoelastic materials. (English) Zbl 1192.74279 Appl. Math. 37, No. 1, 39-52 (2010). This paper deals with a variational model describing the quasistatic contact between a viscoelastic body and rigid foundation. The contact is frictional obeying the Coulomb’s law, while the bonding field is described by a first-order differential equation. The author derives the existence and uniqueness of a weak solution, using variational inequalities and Banach fixed point theorem. Reviewer: Olivian Simionescu (Bucureşti) MSC: 74M15 Contact in solid mechanics 74M10 Friction in solid mechanics 74D05 Linear constitutive equations for materials with memory 74H20 Existence of solutions of dynamical problems in solid mechanics 74H25 Uniqueness of solutions of dynamical problems in solid mechanics 49J40 Variational inequalities Keywords:variational inequalities; weak solution; existence; uniqueness; Banach fixed point theorem PDFBibTeX XMLCite \textit{A. Touzaline}, Appl. Math. 37, No. 1, 39--52 (2010; Zbl 1192.74279) Full Text: DOI