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<p>The strong influence of structural size at micro- and nanoscales on thermomechanical performance is well documented, with thermoelastic damping (TED) serving as a prominent example. Motivated by this consideration, the paper at hand introduces a new size-dependent TED formulation for miniature rectangular plates that couples surface energy effects through Gurtin–Murdoch continuum theory and non-Fourier heat transfer via the dual-phase-lag (DPL) model. This involves initially deriving the governing equations with surface and dual-phase-lagging considerations, and then decomposing the plate’s frequency into its real and imaginary portions. Thereafter, by leveraging the definition of damping within the frequency approach, one can attain an explicit solution for TED in nanoscale plates that accounts for dimensional scaling phenomena. An analytical expression is also derived to capture the frequency shift (FS) phenomenon induced by thermoelastic coupling in ultra-small structures. The results section features diverse scenarios that appraise TED sensitivity to essential factors, including the impact of surface characteristics.</p>

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Thermoelastic damping and frequency shift in rectangular nanoplates incorporating surface effect and dual-phase lag heat conduction

  • 期刊论文

  • 发表日期：

    2026年3月10日

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  • Suleiman Ibrahim Mohammad,
  • Asokan Vasudevan,
  • Basem Abu Zneid,
  • Mahendrasinh R. Chauhan,
  • Sabir Widatalla,
  • Mohammed H. Zaid,
  • Akanksha Mishra,
  • Harjot Singh Gill,
  • Malik Bader Alazzam,
  • Abinash Mahapatro

摘要

The strong influence of structural size at micro- and nanoscales on thermomechanical performance is well documented, with thermoelastic damping (TED) serving as a prominent example. Motivated by this consideration, the paper at hand introduces a new size-dependent TED formulation for miniature rectangular plates that couples surface energy effects through Gurtin–Murdoch continuum theory and non-Fourier heat transfer via the dual-phase-lag (DPL) model. This involves initially deriving the governing equations with surface and dual-phase-lagging considerations, and then decomposing the plate’s frequency into its real and imaginary portions. Thereafter, by leveraging the definition of damping within the frequency approach, one can attain an explicit solution for TED in nanoscale plates that accounts for dimensional scaling phenomena. An analytical expression is also derived to capture the frequency shift (FS) phenomenon induced by thermoelastic coupling in ultra-small structures. The results section features diverse scenarios that appraise TED sensitivity to essential factors, including the impact of surface characteristics.