Title of article :
A quasistatic contact problem for viscoelastic materials with friction and damage
Original Research Article
Author/Authors :
Yunxiang Li، نويسنده , , Zhenhai Liu، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2010
Abstract :
We consider a mathematical model which describes the frictional contact between a deformable body and a foundation. The process is quasistatic, the material is assumed to be viscoelastic with long memory and the frictional contact is modelled with subdifferential boundary conditions. The mechanical damage of the material is described by the damage function, which is modelled by a nonlinear partial differential equation. We derive the variational formulation of the problem, which is a coupled system of a hemivariational inequality and a parabolic equation. Then we prove the existence of a unique weak solution to the model. The proof is based on arguments of abstract stationary inclusion and a fixed point theorem.
Keywords :
Damage , Frictional contact , Viscoelastic , Stationary inclusion , Weak solution , Hemivariational inequality
Journal title :
Nonlinear Analysis Theory, Methods & Applications
Journal title :
Nonlinear Analysis Theory, Methods & Applications