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Influence of the static pre-stress on the thermal quality factor of a micro-resonator under the dual-phase-lag heat conduction model

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Abstract

The thermal quality factor of micro/nano-resonators, which regulates the energy dissipation through the connection of the mechanical and thermal behaviour, is greatly influenced by the static pre-stress and thermal lag times. To raise the thermal quality factor, a novel analytical model in this study that considers a static pre-stress in a micro-resonator has been constructed based on the dual-phase-lag heat conduction model. On the thermal quality factor, the impacts of length scale, static pre-stress, and thermal lag times have been discussed. According to the model, adjusting the static pre-stress might result in a considerable improvement in terms of the dimensionless thermal quality factor. Moreover, the beam’s length scale and thermal lag times have significant effects on the thermal quality factor of the resonators.

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  1. Department of Mathematics, Jamoum University College, Umm Al-Qura University, Jamoum, Saudi Arabia

    Eman A. N. Al-Lehaibi

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  1. Eman A. N. Al-Lehaibi
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Correspondence to Eman A. N. Al-Lehaibi.

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Al-Lehaibi, E.A.N. Influence of the static pre-stress on the thermal quality factor of a micro-resonator under the dual-phase-lag heat conduction model. Acta Mech 234, 6579–6587 (2023). https://doi.org/10.1007/s00707-023-03720-1

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  • DOI: https://doi.org/10.1007/s00707-023-03720-1

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