Thermoelastic damping in the size-dependent micro/nanobeam resonator with nonlocal dual-phase-lag heat conduction

Zhou, Hongyue; Jiang, Haobin; Li, Pu; Xue, Hongtao; Bo, Billy

doi:10.1016/j.tws.2021.108437

Cited by 27 publications

(8 citation statements)

References 60 publications

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“…Considering the influence of thermal phase lag of the temperature gradient, Zhou et al 56 developed a NDPL heat conduction model which can be written as…”

Section: Theoretical Formulationsmentioning

confidence: 99%

“…To accurately describe the transient thermoviscoelastic characteristic of the polymer microstructures, the influence of small-scale accounting for the heat transport and the viscoelastic deformation are further considered in fractional-order Kelvin-Voigt generalized thermoviscoelasticity. Inspired by the works, 56,60,64 the basic equations are presented as follows.…”

Section: A Ndpl Thermoviscoelasticity Considering the Mcst And The Fr...mentioning

confidence: 99%

“…The energy conservation equation can be expressed as 56 Figure 1. Comparison between the theoretical model prediction results and experimental data in nanofilm.…”

Section: A Ndpl Thermoviscoelasticity Considering the Mcst And The Fr...mentioning

confidence: 99%

“…55 To capture the small-scale effect in heat conduction, Guyer and Krumhansl 53 developed the G-K model based on the eigenvalue solution of the linearized phonon Boltzmann equation. Later on, inspired by DPL model and G-K model, Zhou et al 56 derived the nonlocal dual-phase-lag (NDPL) model and studied the analytical expression of thermoelastic damping in microbeam. Accordingly, with the aid of energy equation, the generalized thermoelastic theories, for example, the Lord-Shulman (L-S) generalized thermoelasticity 57 and the DPL generalized thermoelasticity 58 were also developed.…”

Section: Introductionmentioning

confidence: 99%

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Nonlocal dual-phase-lag thermoviscoelastic response of a polymer microbeam incorporating modified couple stress and fractional viscoelastic theories

Peng

2022

The Journal of Strain Analysis for Engineering Design

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Ultra-slow relaxation process of polymers has the memory-dependent feature, integer-order thermoviscoelastic models may fail to describe the dynamic behaviors of viscoelastic structures accurately. Additionally, it is noticed that the small-scale effect of elastic deformation and heat conduction in a non-isothermal temperature environment is becoming significant due to the development of micro-devices. To better capture the memory-dependent effect and the small-scale effect of viscoelastic micro-structures in heat transfer environment, as a first attempt, present work focuses on developing a refined fractional Kelvin-Voigt thermoviscoelastic model by incorporating the nonlocal dual-phase-lag (NDPL) heat conduction model and the modified coupled stress theory (MCST). Then, the model is applied to investigating the transient response of a polymer microbeam subjected to a harmonic thermal loading. The governing equations involving the modified parameters are formulated and then solved by Laplace transform method. Some parametric results are demonstrated to display the impacts of the nonlocal thermal parameter, the material length-scale parameter and the fractional-order parameter on the considered physical quantities. The results show that the small-scale effect and the memory-dependent effects strongly depend on the polymer micro-structure characteristics in thermal environment.

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“…Considering the influence of thermal phase lag of the temperature gradient, Zhou et al 56 developed a NDPL heat conduction model which can be written as…”

Section: Theoretical Formulationsmentioning

confidence: 99%

Section: A Ndpl Thermoviscoelasticity Considering the Mcst And The Fr...mentioning

confidence: 99%

“…The energy conservation equation can be expressed as 56 Figure 1. Comparison between the theoretical model prediction results and experimental data in nanofilm.…”

Section: A Ndpl Thermoviscoelasticity Considering the Mcst And The Fr...mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Nonlocal dual-phase-lag thermoviscoelastic response of a polymer microbeam incorporating modified couple stress and fractional viscoelastic theories

Peng

2022

The Journal of Strain Analysis for Engineering Design

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“…29 To capture the size-dependent effect in heat conduction, Guyer and Krumhansl 23 developed the G-K model based on the eigenvalue solution of the linearized phonon Boltzmann equation. Subsequently, inspired by DPL and G-K models, Zhou et al 30 derived the nonlocal dual-phase-lag (NDPL) model and studied the analytical expression of thermoelastic damping in microbeam. Accordingly, with the aid of energy equation, the generalized thermoelastic theories such as Lord-Shulman (L-S) theory, [31][32][33] Green-Lindsay (G-L) theory, 34 and Green-Naghdi theory 35 were also developed.…”

Section: Introductionmentioning

confidence: 99%

Dual-phase-lag thermoelastic damping analysis of a functionally graded sandwich micro-beam resonators incorporating double nonlocal effects

Wang,

Peng,

2023

The Journal of Strain Analysis for Engineering Design

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Functionally graded sandwich micro/nano-structures have attracted great attention due to the capability to resist high noise and thermal stress in a non-isothermal environment. Additionally, the design of high quality-factor micro/nano-resonators requires accurate estimation of their thermoelastic damping. However, the classical thermoelastic damping models fail at the micro/nano-scale due to the influences of the size-dependent effects related to heat transfer and elastic deformation. This work aims to investigate the influences of the size-dependent effects on the thermoelastic damping of functionally graded sandwich micro-beam resonators by combining the nonlocal dual-phase-lag heat conduction model and the nonlocal elasticity model. It is assumed that the functionally graded sandwich micro-beam resonators consist of a ceramic core and functionally graded surfaces. The energy equation and the transverse motion equation are derived. The analytical expression of thermoelastic damping is obtained by complex frequency method. Numerical results are analyzed for the effects of the thermal nonlocal parameter, the elastic nonlocal parameter, the power-law index, and the vibration modes on the thermoelastic damping of functionally graded sandwich micro-beam resonators. The results show that the thermoelastic damping of functionally graded sandwich micro-beam resonators can be adjusted by the suitably modified parameters, which strongly depends on the double nonlocal effects and the power-law index.

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A size-dependent axisymmetric plate element: application to MEMS

Rahaeifard,

Karimzadeh

2024

Arch Appl Mech

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Thermoelastic damping in the size-dependent micro/nanobeam resonator with nonlocal dual-phase-lag heat conduction

Cited by 27 publications

References 60 publications

Nonlocal dual-phase-lag thermoviscoelastic response of a polymer microbeam incorporating modified couple stress and fractional viscoelastic theories

Nonlocal dual-phase-lag thermoviscoelastic response of a polymer microbeam incorporating modified couple stress and fractional viscoelastic theories

Dual-phase-lag thermoelastic damping analysis of a functionally graded sandwich micro-beam resonators incorporating double nonlocal effects

A size-dependent axisymmetric plate element: application to MEMS

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