A new perspective of exponential stability for Timoshenko systems under history and thermal effects

TL;DR

This paper investigates the exponential stability of Timoshenko systems incorporating both memory effects and thermoelasticity, revealing how heat and history couplings influence system stability in a novel way.

Contribution

It introduces a new perspective on the stability analysis of Timoshenko systems by combining history and thermal effects, contrasting with previous studies.

Findings

Proves uniform exponential stability of the system

Highlights the sensitivity of heat and memory couplings

Provides a new approach to thermo-viscoelastic stability

Abstract

We address a Timoshenko system with memory in the history context and thermoelasticity of type III for heat conduction. Our main goal is to prove its uniform (exponential) stability by illustrating carefully the sensitivity of the heat and history couplings on the Timoshenko system. This investigation contrasts previous insights on the subject and promotes a new perspective with respect to the stability of the thermo-viscoelastic problem carried out, by combining the whole strength of history and thermal effects.