English

Analysis of a temperature-dependent model for adhesive contact with friction

Analysis of PDEs 2012-07-23 v1

Abstract

We propose a model for unilateral contact with adhesion between a viscoelastic body and a rigid support, encompassing thermal and frictional effects. Following the approach by M. Fremond, adhesion is described in terms of a surface damage parameter. The main result of the paper states the existence of global solutions to the associated Cauchy problem. It is proved by passing to the limit in a carefully tailored approximate problem, via variational techniques.

Keywords

Cite

@article{arxiv.1207.4859,
  title  = {Analysis of a temperature-dependent model for adhesive contact with friction},
  author = {Elena Bonetti and Giovanna Bonfanti and Riccarda Rossi},
  journal= {arXiv preprint arXiv:1207.4859},
  year   = {2012}
}