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Influence of the Static Pre-Stress in Micro-Viscothermoelastic Resonators Based on Dual-Phase-Lagging Heat Conduction

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  • Najat A. Alghamdi
  • Hamdy M. Youssef

Abstract

Thermal and mechanical relaxation times play vital roles in the values of the quality factor of micro/nanoresonators. They can control the energy dissipation across the coupling of mechanical and thermal behavior. In this paper, we introduce an analytical model that considers a pre-stress in a micro-viscothermoelastic resonator to modify the thermal and mechanical relaxation times and thus higher the quality factor. The impacts of length scale and static pre-stress on the quality factor have been discussed. The model expects that significant improvement in terms of quality factors is possible by tuning the pre-stress and the thermal and mechanical relaxation times parameters, and the isothermal value of frequency have significant effects on the thermal quality factor of the resonators.

Suggested Citation

  • Najat A. Alghamdi & Hamdy M. Youssef, 2020. "Influence of the Static Pre-Stress in Micro-Viscothermoelastic Resonators Based on Dual-Phase-Lagging Heat Conduction," Mathematical Problems in Engineering, Hindawi, vol. 2020, pages 1-8, July.
  • Handle: RePEc:hin:jnlmpe:1316281
    DOI: 10.1155/2020/1316281
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