A History-Dependent Frictional Contact Problem With Wear for Thermoviscoelastic Materials

Abstract

In this manuscript we study a contact problem between a deformable viscoelastic body and a rigid foundation. Thermal effects, wear and friction between surfaces are taken into account. A variational formulation of the problem is supplied and an existence and uniqueness result is proved. The idea of the proof rested on a recent result on history-dependent quasivariational inequalities. Finally, a perturbation of the data is initiated and a convergence result is demonstrated when the perturbation parameter converges to zero.

Frictional Contact Problem With Wear for Thermo-Viscoelastic Materials With Damage

“…Recently contact problems with wear were studied in [6,8,10,18,19]. The damage of the material caused by growth, temperature and various other external factors.…”

Exponential stabilization of a dynamic frictional contact problem for viscoelastic materials with normal damped response and infinite memory

“…The existence of a weak solution for this model is proved by using semi-discrete approximation and operator theory. In [14], Chouchane and Selmani studied a frictional contact problem for thermoviscoelastic materials with wear. The contact condition is given with a form of normal damped response combined with Coulomb friction law.…”