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Three-phase-lag thermoelastic dam** analysis of graphene-reinforced laminated composite microplate resonators based on modified strain gradient theory

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Abstract

Functionally graded (FG) laminated micro/nanostructures reinforced with graphene nanoplatelets (GPLs) stand as one of the most promising candidates for composite structures due to the excellent thermo-mechanical properties. Meanwhile, thermoelastic dam** (TED) is one of the key factors to lower quality factor in micro/nanoresonators. Nevertheless, the classical TED models fail to explain the thermo-mechanical behavior considering the influences of the size-dependent effect and the thermal lagging effect. To fill these gaps, the present study aims to investigate TED analysis of FG laminated microplate resonators reinforced with GPLs in the frame of the modified strain gradient theory and the three-phase-lag heat conduction model. Four patterns of GPLs distribution including the UD, FG-O, FG-X and FG-A pattern distributions are taken into account, and the effective material properties of the plate-type nanocomposite are evaluated according to the Halpin–Tsai model. The energy equation and the motion equation based on the Kirchhoff microplate model are solved, and then, the closed-from analytical expression of TED is obtained by complex frequency technique. A detailed parametric study has been conducted to discuss the influence of the material length-scale parameter, the phase-lag parameters and the total weight fraction of GPLs on the TED. Results demonstrated that the energy dissipation of FG laminated microplate resonators reinforced with GPLs is determined by the size-dependent effect, the thermal lagging effect and the total weight fraction of GPLs. This results are helpful to the design of FG laminated microplate resonators reinforced with GPLs with high-performance for theoretical approach.

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Funding

This work was supported by the Heilongjiang University of Science and Technology Talent Introduction of High-level Talents Scientific Research Initiation Fund Project, the Basic Scientific Research Business Expenses of Colleges and Universities in Heilongjiang Province.

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Authors and Affiliations

  1. School of Architecture and Civil Engineering, Heilongjiang University of Science and Technology, Harbin, 150022, China

    Wei Peng, Xu Zhang, Zhe Yu & Yaru Gao

  2. School of Science, Lanzhou University of Technology, Lanzhou, 730050, China

    Tianhu He

  3. State Key Laboratory for Strength and Vibration of Mechanical Structures, **’an Jiaotong University, **’an, 710049, China

    Yan Li

  4. Institute of Industrial Science, The University of Tokyo, 4-6-1 Komaba Meguro-Ku, Tokyo, 153-8505, Japan

    Yan Li

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  1. Wei Peng
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  2. Xu Zhang
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Correspondence to Wei Peng.

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Peng, W., Zhang, X., Yu, Z. et al. Three-phase-lag thermoelastic dam** analysis of graphene-reinforced laminated composite microplate resonators based on modified strain gradient theory. Acta Mech (2024). https://doi.org/10.1007/s00707-024-03947-6

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