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Research background <p>In recent years, graphene platelets (GPLs) and carbon nanotubes (CNTs) have been widely used as ideal fillers to generate advanced functionally graded (FG) nanocomposite materials. While, the analyses to thermoelastic responses of FG-GPLs/CNTs reinforced microstructures taking the thermal lagging behavior and the size-dependent effect into consideration remain inadequate.</p> Purpose of the study <p>To fill this gap, the thermoelastic vibration of an FG multilayer microplate reinforced by GPLs and CNTs is investigated in this study by employing the Moore-Gibson-Thompson (MGT) heat conduction model and the nonlocal strain gradient theory for the first time.</p> Research methodology <p>To assess the effective elastic modulus of the microplate, the Halpin-Tsai micromechanical model is adopted. Then the Kirchhoff plate theory is applied to deriving the governing equations. By means of Navier’s method, the governing equations are solved; accordingly, the intrinsic frequency of the microplate is determined.</p> Research findings <p>In calculation, the effects of three distinct FG distribution patterns for GPLs and CNTs, i.e., FG-O type, FG-A type, and FG-X type, in addition to the unidirectional distribution (UD) pattern of CNTs and GPLs and several key parameters on the variation of the intrinsic frequency, are examined. From the results, it can be concluded that the FG-A type has the most significant impact on the intrinsic frequency of the microplate. Additionally, the characteristic length parameter and the mass fraction as well as the volume fraction of CNTs and GPLs positively correlate with the intrinsic frequency, while the nonlocal elasticity parameter negatively correlates with the intrinsic frequency.</p> The value of research applications <p>The present method and the results may provide some references for the design of high performance FG advanced micro-electro-mechanical systems (MEMS) reinforced by CNTs and GPLs.</p>

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Analysis to Thermoelastic Vibration of FG Multilayer Hybrid Microplate Reinforced By CNTs and GPLs Under Moore-Gibson-Thompson Model and Nonlocal Strain Gradient Theory

  • 期刊论文

  • 发表日期：

    2025年7月1日

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  • Weixuan Wang,
  • Xinfei Zhang,
  • Tianhu He

摘要

Research background

In recent years, graphene platelets (GPLs) and carbon nanotubes (CNTs) have been widely used as ideal fillers to generate advanced functionally graded (FG) nanocomposite materials. While, the analyses to thermoelastic responses of FG-GPLs/CNTs reinforced microstructures taking the thermal lagging behavior and the size-dependent effect into consideration remain inadequate.

Purpose of the study

To fill this gap, the thermoelastic vibration of an FG multilayer microplate reinforced by GPLs and CNTs is investigated in this study by employing the Moore-Gibson-Thompson (MGT) heat conduction model and the nonlocal strain gradient theory for the first time.

Research methodology

To assess the effective elastic modulus of the microplate, the Halpin-Tsai micromechanical model is adopted. Then the Kirchhoff plate theory is applied to deriving the governing equations. By means of Navier’s method, the governing equations are solved; accordingly, the intrinsic frequency of the microplate is determined.

Research findings

In calculation, the effects of three distinct FG distribution patterns for GPLs and CNTs, i.e., FG-O type, FG-A type, and FG-X type, in addition to the unidirectional distribution (UD) pattern of CNTs and GPLs and several key parameters on the variation of the intrinsic frequency, are examined. From the results, it can be concluded that the FG-A type has the most significant impact on the intrinsic frequency of the microplate. Additionally, the characteristic length parameter and the mass fraction as well as the volume fraction of CNTs and GPLs positively correlate with the intrinsic frequency, while the nonlocal elasticity parameter negatively correlates with the intrinsic frequency.

The value of research applications

The present method and the results may provide some references for the design of high performance FG advanced micro-electro-mechanical systems (MEMS) reinforced by CNTs and GPLs.