Inverse quality factor of fractional viscoelastic micro/nanobeams with surface effects based on memory-dependent heat conduction model.

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Title: Inverse quality factor of fractional viscoelastic micro/nanobeams with surface effects based on memory-dependent heat conduction model.
Authors: Peng, Bo-Rong1 (AUTHOR), Zhang, Xue-Yang1 (AUTHOR) xyzh1992@hotmail.com, Xiao, Xia-Zi1 (AUTHOR), Li, Xian-Fang1 (AUTHOR), Li, Zheng1 (AUTHOR)
Source: International Journal of Heat & Mass Transfer. Dec2025, Vol. 252, pN.PAG-N.PAG. 1p.
Subjects: Energy dissipation, Heat conduction, Surfaces (Technology), Resonators, Quality factor
Abstract: • A novel fractional thermoviscoelastic damping model is established. • Explicit formula of inverse quality factor is derived. • Various energy dissipation mechanisms are combined and analyzed. • Viscoelastic losses dominate the energy dissipation within smaller thickness. A sufficiently accurate analysis of energy dissipation is very important of the design of high-performance micro/nano-mechanical resonators. In this paper, not only the thermomechanical damping loss, but also the surface loss and material loss of the energy dissipation are considered for a micro-beam resonator. A fractional Kelvin-Voigt viscoelastic micro-beam model containing memory-dependent heat flow and size effects of dissipative surface stress is first proposed. The heat flow in the micro-beam is described by a memory-dependent heat conduction model which can overcome the shortcoming of the classical Fourier's model. The analytic expression for the inverse quality factor Q − 1 is derived by the energy dissipation approach. The emphasis of the analysis is focused on the combined effects of the size-dependent surface dissipation and memory-dependent heat flow. The obtained results imply that the thermomechanical damping loss plays a significant part in Q − 1 for the larger thickness, whereas the size effect of dissipative surface stress dominate the energy dissipation for the smaller size. [ABSTRACT FROM AUTHOR]
Copyright of International Journal of Heat & Mass Transfer is the property of Pergamon Press - An Imprint of Elsevier Science and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Label: Title
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  Data: Inverse quality factor of fractional viscoelastic micro/nanobeams with surface effects based on memory-dependent heat conduction model.
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  Data: <searchLink fieldCode="AR" term="%22Peng%2C+Bo-Rong%22">Peng, Bo-Rong</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Zhang%2C+Xue-Yang%22">Zhang, Xue-Yang</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> xyzh1992@hotmail.com</i><br /><searchLink fieldCode="AR" term="%22Xiao%2C+Xia-Zi%22">Xiao, Xia-Zi</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Li%2C+Xian-Fang%22">Li, Xian-Fang</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Li%2C+Zheng%22">Li, Zheng</searchLink><relatesTo>1</relatesTo> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22International+Journal+of+Heat+%26+Mass+Transfer%22">International Journal of Heat & Mass Transfer</searchLink>. Dec2025, Vol. 252, pN.PAG-N.PAG. 1p.
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  Data: <searchLink fieldCode="DE" term="%22Energy+dissipation%22">Energy dissipation</searchLink><br /><searchLink fieldCode="DE" term="%22Heat+conduction%22">Heat conduction</searchLink><br /><searchLink fieldCode="DE" term="%22Surfaces+%28Technology%29%22">Surfaces (Technology)</searchLink><br /><searchLink fieldCode="DE" term="%22Resonators%22">Resonators</searchLink><br /><searchLink fieldCode="DE" term="%22Quality+factor%22">Quality factor</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: • A novel fractional thermoviscoelastic damping model is established. • Explicit formula of inverse quality factor is derived. • Various energy dissipation mechanisms are combined and analyzed. • Viscoelastic losses dominate the energy dissipation within smaller thickness. A sufficiently accurate analysis of energy dissipation is very important of the design of high-performance micro/nano-mechanical resonators. In this paper, not only the thermomechanical damping loss, but also the surface loss and material loss of the energy dissipation are considered for a micro-beam resonator. A fractional Kelvin-Voigt viscoelastic micro-beam model containing memory-dependent heat flow and size effects of dissipative surface stress is first proposed. The heat flow in the micro-beam is described by a memory-dependent heat conduction model which can overcome the shortcoming of the classical Fourier's model. The analytic expression for the inverse quality factor Q − 1 is derived by the energy dissipation approach. The emphasis of the analysis is focused on the combined effects of the size-dependent surface dissipation and memory-dependent heat flow. The obtained results imply that the thermomechanical damping loss plays a significant part in Q − 1 for the larger thickness, whereas the size effect of dissipative surface stress dominate the energy dissipation for the smaller size. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of International Journal of Heat & Mass Transfer is the property of Pergamon Press - An Imprint of Elsevier Science and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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      – Type: doi
        Value: 10.1016/j.ijheatmasstransfer.2025.127486
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      – Code: eng
        Text: English
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        PageCount: 1
        StartPage: N.PAG
    Subjects:
      – SubjectFull: Energy dissipation
        Type: general
      – SubjectFull: Heat conduction
        Type: general
      – SubjectFull: Surfaces (Technology)
        Type: general
      – SubjectFull: Resonators
        Type: general
      – SubjectFull: Quality factor
        Type: general
    Titles:
      – TitleFull: Inverse quality factor of fractional viscoelastic micro/nanobeams with surface effects based on memory-dependent heat conduction model.
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            NameFull: Peng, Bo-Rong
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            NameFull: Zhang, Xue-Yang
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            NameFull: Xiao, Xia-Zi
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            NameFull: Li, Xian-Fang
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            NameFull: Li, Zheng
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            – D: 01
              M: 12
              Text: Dec2025
              Type: published
              Y: 2025
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              Value: 252
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            – TitleFull: International Journal of Heat & Mass Transfer
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