JournalszaaVol. 34, No. 3pp. 251–275

Variational-Hemivariational Approach to a Quasistatic Viscoelastic Problem with Normal Compliance, Friction and Material Damage

  • Leszek Gasiński

    Jagiellonian University, Kraków, Poland
  • Anna Ochal

    Jagiellonian University, Kraków, Poland
  • Meir Shillor

    Oakland University, Rochester, USA
Variational-Hemivariational Approach to a Quasistatic Viscoelastic Problem with Normal Compliance, Friction and Material Damage cover

Abstract

This work studies a model for quasistatic frictional contact between a viscoelastic body and a reactive foundation. The constitutive law is assumed to be nonlinear and contains damage e ects modeled by a parabolic di erential inclusion. Contact is described by the normal compliance condition and a subdi erential frictional condition. A variational-hemivariational formulation of the problem is provided and the existence and uniqueness of its solution is proved. The proof is based on a surjectivity result for pseudomonotone coercive operators and a xed point argument.

Cite this article

Leszek Gasiński, Anna Ochal, Meir Shillor, Variational-Hemivariational Approach to a Quasistatic Viscoelastic Problem with Normal Compliance, Friction and Material Damage. Z. Anal. Anwend. 34 (2015), no. 3, pp. 251–275

DOI 10.4171/ZAA/1538