Influence of the Mechanical Damage and Static Prestress on the Thermal Quality Factor of Viscothermoelastic Micro-Resonators Based on the Dual-Phase-Lag Heat Conduction Model

Mechanical and thermal relaxation times are of utmost importance in determining the thermal quality of micro- and nano-resonators. The interplay between mechanical and thermal activity governs energy dissipation in these resonators. In a recent paper, an analytical thermal model was developed to incorporate mechanical and thermal relaxation times, thereby increasing the quality factor under mechanical damage, while accounting for static prestress in a micro-viscothermoelastic resonator. The effects of the relaxation time parameters and static prestress on the thermal quality factor have been addressed. This model assumes that static prestress can serve as a tuning knob for significant improvements in thermal efficiency variables. The mechanical and thermal relaxation times, isothermal frequency, and mechanical damage parameter have substantial effects on the resonator’s thermal quality factor.