Modeling and identification in a dynamic viscoelastic contact problem with normal damped response and friction

Abstract

This chapter focuses on the hemivariational inequality, which models the frictional contact of a viscoelastic body and a foundation. The process is assumed to be dynamic and modeled by a general normal damped response condition and a frictional law, which are non-monotone, possibly multi-valued, and have the sub-differential form. The chapter presents a result on the existence of optimal parameters to the identification problem for such hemivariational inequality by using the direct method of the calculus of variations.