A stability result for a memory-type Laminated-thermoelastic system with Maxwell–Cattaneo heat conduction

Abstract

The present article investigates a thermo-viscoelastic laminated beam system, where the heat conduction is given by Maxwell–Cattaneo’s law (popularly known as second sound). We establish explicit and general stability results for the solution energy in the case of equal-speed propagation and nonequal speed. Our results contain the exponential and polynomial decay as particular cases. We also present some examples to illustrate our theoretical findings. These new results generalize and improve many results in the literature.

Keywords:

• Finite speed
• laminated beam
• Maxwell–Cattaneo’s law
• optimal decay
• thermoelasticity
• thermomechanics
• viscoelasticity

Additional information

Funding

The authors appreciate the continuous support of University of Hafr Al Batin, KFUPM and University of Sharjah. The first and second authors are supported by University of Hafr Al Batin under project $\#G1062020.$ The third author is sponsored by KFUPM under project $\#SB181018.$