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<p>‌ Quasicrystal (QC) nanostructures frequently operate in high-temperature environments and are subjected to loads such as elastic waves. Therefore, the thermo-phonon-phason coupling effects cannot be neglected when studying elastic waves in these structures.‌ To this end, a fractional-order Lord-Shulman generalized thermoelastic model incorporating integral nonlocal theory is developed to study Lamb waves in a one-dimensional hexagonal QC nanoplate. The dispersion relations and attenuation of thermoelastic Lamb waves are investigated, with particular emphasis on nonlocal effects and thermo-phonon-phason coupling. Numerical simulations based on partial differential equations validate theoretical results. Results demonstrated attenuation jumps in mode conversion regions, as well as frequency-dependent enhancement of phase velocity and attenuation jumps due to size effects. ‌These findings provide critical theoretical guidance for the design and optimization of QC nanostructures in engineering applications.</p>

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Generalized Thermoelastic Lamb Waves in One-Dimensional Hexagonal Quasicrystal Nanoplates

  • 期刊论文

  • 发表日期：

    2026年4月9日

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  • Bo Zhang,
  • Jianqiang Song,
  • Liangjuan Li,
  • Huali Han,
  • Jiangong Yu,
  • Xiaodong Yang

摘要

‌ Quasicrystal (QC) nanostructures frequently operate in high-temperature environments and are subjected to loads such as elastic waves. Therefore, the thermo-phonon-phason coupling effects cannot be neglected when studying elastic waves in these structures.‌ To this end, a fractional-order Lord-Shulman generalized thermoelastic model incorporating integral nonlocal theory is developed to study Lamb waves in a one-dimensional hexagonal QC nanoplate. The dispersion relations and attenuation of thermoelastic Lamb waves are investigated, with particular emphasis on nonlocal effects and thermo-phonon-phason coupling. Numerical simulations based on partial differential equations validate theoretical results. Results demonstrated attenuation jumps in mode conversion regions, as well as frequency-dependent enhancement of phase velocity and attenuation jumps due to size effects. ‌These findings provide critical theoretical guidance for the design and optimization of QC nanostructures in engineering applications.