In this paper, we investigate the stabilization of a one-dimensional thermoelastic laminated beam with structural damping coupled heat equation modeling an expectedly dissipative effect through conduction governed by Gurtin–Pipkin thermal law. Under some assumptions on relaxation function g, establish well-posedness problem using Lumer–Phillips theorem. Furthermore, prove exponential stability ...

A unified treatment is presented of thermoelasticity by application and further developments of the methods of irreversible thermodynamics. The concept of generalized free energy introduced in a previous publication plays the role of a " thermoelastic potential " and is used along with a new definition of the dissipation function in terms of the time derivative of an entropy displacement. The g...

The propagation of magneto-thermoelastic disturbances in an elastic half-space caused by the application of a thermal shock on the stress-free bounding surface in contact with vacuum is investigated. The theory of thermoelasticity III proposed by Green and Naghdi is used to study the interaction between elastic, thermal, and magnetic fields. Small-time approximations of solutions for displaceme...

Abstract The design of thermoelastic damping (TED) affected by the phase-lagging non-Fourier heat conduction effects becomes significant but challenging for enlarging quality factor widely-used microresonators operating in extreme situations, including ultra-high excitation frequency and ultra-low working temperature. However, there does not exist a rational method designing TED framework law. ...