We consider a mathematical model which describes the quasistatic contact between two deformable bodies. The bodies are assumed to have a viscoelastic behavior that we model with Kelvin-Voigt constitutive law. The contact is frictionless and is modeled with the classical Signorini condition with zero-gap function. We derive a variational formulation of the problem and prove the existence of a un...

1. Tilly JJ, Drolet BA, Esterly NB. Lichenoid eruptions in children. J Am Acad Dermatol. 2004;51:606-24. 2. Aloi F, Solaroli C, Pippione M. Diffuse and bilateral lichen striatus. Pediatr Dermatol. 1997;14:36-8. 3. Mittal R, Khaitan BK, Ramam M, Verma KK, Manchanda M. Multiple lichen striatus-An unusual presentation. Indian J Dermatol Venereol Leprol. 2001;67:204. 4. Peramiquel L, Baselga E, Dal...

We introduce a Nitsche-based formulation for the finite element discretization of the unilateral contact problem in linear elasticity. It features a weak treatment of the non-linear contact conditions through a consistent penalty term. Without any additional assumption on the contact set, we can prove theoretically its fully optimal convergence rate in the H(Ω)norm for linear finite elements in...

An approach is developed to analyze the multiharmonic forced response of large-scale finite element models of bladed disks taking account of the nonlinear forces acting at the contact interfaces of blade roots. Area contact interaction is modeled by area friction contact elements which allow for friction stresses under variable normal load, unilateral contacts, clearances, and interferences. Ex...

The existence of solutions is proved for the unilateral dynamic contact of a von Kármán-Donnell shell with a rigid obstacle. Both purely elastic material and a material with a singular memory are treated.

A unilateral contact problem without friction in quasi-coupled thermo-elasticity and with uncertain input data is analysed. The worst scenario method is used to nd the most "dangerous" admissible input data.