Thermoelastic damping in an auxetic rectangular plate with thermal relaxation-free vibrations

This work describes an extended thermodynamical model to represent coupled thermomechanical interactions in continuum media having negative Poisson's ratio. In particular, the Zener thermoelastic damping effect is considered for a plate with auxetic characteristics undergoing free vibrations. The extended thermodynamical model is characterized by a thermal relaxation time to avoid the propagation of thermal waves at infinite velocity. The thermal relaxation time used in this work is not Zener's characteristic time constant. Strong dependence of the thermoelastic damping is observed for auxetic configurations, various plate thicknesses and ambient temperatures.