Analysis of a dynamic contact problem with friction, damage and adhesion
Volume 46 / 2019
Applicationes Mathematicae 46 (2019), 127-153
MSC: 47J20, 49J40, 74M10, 74M15.
DOI: 10.4064/am2312-6-2018
Published online: 14 December 2018
Abstract
We study a dynamic contact problem for viscoelastic materials with damage. The contact is modelled with Tresca’s friction law and a first order differential equation which describes adhesion effect of contact surfaces; the damage of the material is described by a function whose evolution is governed by a parabolic inclusion. Under appropriate assumptions, we provide a variational formulation of the mechanical problem and establish the existence and uniqueness of a weak solution.
