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<p>Graphene platelets (GPLs) and carbon nanotubes (CNTs) are ideal fillers to develop new-generation advanced nanocomposite materials with excellent performance due to their exceptional thermal and mechanical properties. However, investigations on the transient thermoelastic behaviors of nanocomposite structures remain scarce at present. This study extends on this field by analyzing the thermoelastic wave propagation characteristic of a beam reinforced simultaneously by GPLs and CNTs based on the Timoshenko beam theory and Lord-Shulman (L-S) generalized thermoelastic theory. According to the distribution patterns of GPLs/CNTs along the thickness direction, the nanocomposite beam is functionally graded (FG). The effective elastic modulus is assessed using the Halpin–Tsai micromechanics model, while the other properties are calculated using the mixture law. The dispersion relation for thermoelastic wave is obtained via the eigenvalue method. The results show that the FG-A reinforcement configuration yields superior frequency performance compared to the other distributions (UD, FG-O and FG-X). As the volume fraction gradient index of the reinforcement phase increases, the frequency for (i) FG-A rises, and (ii) FG-O and FG-X decreases. Increasing the GPL mass fraction further enhances the beam frequency, while it weakens for higher initial temperatures and thermal relaxation times. Moreover, for a beam length-to-thickness ratio in the range of 5–15, the dispersion relations for the different distributions exhibit clear variations. These results provide new perspectives for the design and optimization of high-quality nanocomposite beam structures.</p>

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Wave propagation in FG hybrid nanocomposite Timoshenko beam reinforced by GPLs and CNTs under L-S theory

  • 期刊论文

  • 发表日期：

    2025年8月20日

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  • Ji Meng,
  • Xinfei Zhang,
  • Le Li,
  • Tianhu He

摘要

Graphene platelets (GPLs) and carbon nanotubes (CNTs) are ideal fillers to develop new-generation advanced nanocomposite materials with excellent performance due to their exceptional thermal and mechanical properties. However, investigations on the transient thermoelastic behaviors of nanocomposite structures remain scarce at present. This study extends on this field by analyzing the thermoelastic wave propagation characteristic of a beam reinforced simultaneously by GPLs and CNTs based on the Timoshenko beam theory and Lord-Shulman (L-S) generalized thermoelastic theory. According to the distribution patterns of GPLs/CNTs along the thickness direction, the nanocomposite beam is functionally graded (FG). The effective elastic modulus is assessed using the Halpin–Tsai micromechanics model, while the other properties are calculated using the mixture law. The dispersion relation for thermoelastic wave is obtained via the eigenvalue method. The results show that the FG-A reinforcement configuration yields superior frequency performance compared to the other distributions (UD, FG-O and FG-X). As the volume fraction gradient index of the reinforcement phase increases, the frequency for (i) FG-A rises, and (ii) FG-O and FG-X decreases. Increasing the GPL mass fraction further enhances the beam frequency, while it weakens for higher initial temperatures and thermal relaxation times. Moreover, for a beam length-to-thickness ratio in the range of 5–15, the dispersion relations for the different distributions exhibit clear variations. These results provide new perspectives for the design and optimization of high-quality nanocomposite beam structures.