A New Result of Stability for Thermoelastic-Bresse System of Second Sound Related with Forcing, Delay, and Past History Terms

Abstract

We consider a one-dimensional linear thermoelastic Bresse system with delay term, forcing, and infinity history acting on the shear angle displacement. Under an appropriate assumption between the weight of the delay and the weight of the damping, we prove the well-posedness of the problem using the semigroup method, where an asymptotic stability result of global solution is obtained.

Analysis of a thermo-elasto-viscoplastic contact problem with wear and damage

“…General models for frictional contact with wear can be found in [33,42] as well as in survey [41]. The mathematical analysis of various models of frictional contact with wear, including existence and uniqueness results of the weak solution, was carried out in [20], [21], [23], [25], [29]. Thermo-mechanic contact problems with the evolution of the temperature parameter with wear were treated in [5,12,13,36,37,38,39,40].…”