The reference temperature dependence of Young's modulus of two-temperature thermoelastic damping of gold nano-beam

This work is concerning with the study of the thermoelastic damping of a nanobeam resonator in the context of the two-temperature generalized thermoelasticity theory. An explicit formula of thermoelastic damping has been derived when Young's modulus is a function of the reference temperature. Influences of the beam height and Young's modulus have been studied with some comparisons between the Biot model and the Lord-Shulman model (L-S) for one- and two-temperature types. Numerical results show that the values of the thermal relaxation parameter and the two-temperature parameter have a strong influence on thermoelastic damping at nanoscales.