标题：The influence of the static-pre-stress and mechanical damage variable in the thermal quality factor of two-temperature viscothermoelastic resonators
摘要：The mechanical damage variable, as well as the thermal and mechanical relaxation times, plays essential roles in the ther-
mal quality factor of the resonators, where controls energy damping through the coupling of mechanical and thermal
behavior. In this article, we developed a mathematical model in which a static-pre-stress and mechanical damage variable
in the context of a two-temperature viscothermoelasticity of silicon resonator has been considered. The effects of sta-
tic-pre-stress, thermal relaxation time, mechanical relaxation time, mechanical damage variable, isothermal frequency,
and length-scale on the quality factor have been discussed in the context of a one-temperature and two-temperature
models. The model predicts that significant improvement in terms of quality factors is possible by tuning the static-pre-
stress, isothermal frequency, and length-scale of the resonator. Moreover, the thermal and mechanical relaxation times
and the mechanical damage variable have impacts on the thermal quality factor.
