Asymptotic behavior of thermoelastic systems of laminated Timoshenko beams with Kelvin-Voigt damping

Abstract

This paper considers three thermoelastic laminated beam systems with Kelvin-Voigt damping and heat flow described by Fourier's law. First, we show that the system is globally well-posed using the linear operator semigroup approach. The main results are exponential and polynomial stability when the systems are fully and partially damped. We establish the exponential stability of a fully damped system and show the lack of exponential stability for two partially damped systems. Furthermore, we demonstrate its polynomial decay with rate (Formula presented.) using frequency domain approach due to Borichev and Tomilov. © 2024 Informa UK Limited, trading as Taylor & Francis Group.