The role of spatial variation of the nonlocal parameter on the free vibration of functionally graded sandwich nanoplates

Vinh, Pham Van; Tounsi, Abdelouahed

doi:10.1007/s00366-021-01475-8

Cited by 69 publications

(15 citation statements)

References 72 publications

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“…2 Thereafter, many investigations have been carried out to study the static and dynamic responses of the FG sandwich structures. [3][4][5][6][7][8][9][10][11][12] With the rapid development of micro-and nanotechnology, the concept of functionally graded sandwich has also been utilized in micro/nano-electromechanical systems (MEMS/NEMS) to improve their mechanical properties. For micro/nano-resonators as key components of MEMS/NEMS, experimental tests and theoretical analyses have verified that the thermoelastic damping (TED) is a crucial energy dissipation mechanism affecting their performance.…”

Section: Introductionmentioning

confidence: 99%

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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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Section: Introductionmentioning

confidence: 99%

“…2 Thereafter, many investigations have been carried out to study the static and dynamic responses of the FG sandwich structures. 3–12…”

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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“…After that, plenty of researches are accomplished to analyse the bending, buckling, and vibration response of distinct nano-structures such as nano sized beams, plates, and shells using this theory. [18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33] Researchers have also used the nonlocal theory to study the cracks in the macro-structures. 34 Recently, Van et al 35 presented a size-dependent refined plate theory and studied the bending and vibrations of graphenereinforced composite nano-plates with different types of gradation of graphene platelets.…”

Section: Introductionmentioning

confidence: 99%

Stochastic thermo-elastic vibration characteristics of functionally graded porous nano-beams using first-order perturbation-based nonlocal finite element model

Chandel

Talha

2022

Proceedings of the Institution of Mechanical Engineers, Part C:

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This paper emphasized the size-dependent thermo-elastic vibration characteristics of uncertain functionally graded (FG) porous nano-beams by employing the first-order perturbation theory (FOPT) with the finite element method. An isoparametric quadratic beam element having three nodes is used for the finite element analysis of the nano-beams with variation in degree of uncertainty in material properties, geometric configuration, and thermal environment. The power-law model is employed to obtain the effective material properties of the considered beams. The governing equations are presented according to Eringen’s elasticity theory and Reddy’s beam theory using the minimum potential energy. The computed FOPT results for the vibration statistics are assessed with the help of Monte Carlo simulation (MCS) and a well agreement is found. Further, results are presented by analyzing the effects of degree of source uncertainty, size-dependent parameter, volume fraction indices, porosity distribution, porosity index, thermal environment, and aspect ratios on the fundamental frequency of the FGM nano-beams. The numerical results revealed the significant influence of thermal environment and porosity on the vibration statistics of the nano-beams and provided guidance for the precise and reliable design of nano-devices for the application in thermal environment.

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“…34–36 Additionally, up to now, many studies have been carried out to investigate the static and dynamic behaviors of micro/nano structures based on the higher-order theories. 37–46…”

Section: Introductionmentioning

confidence: 99%

“…[34][35][36] Additionally, up to now, many studies have been carried out to investigate the static and dynamic behaviors of micro/nano structures based on the higher-order theories. [37][38][39][40][41][42][43][44][45][46] It is known that thermoelastic analysis for microstructures under non-uniform temperature field is vital. 47 The classical thermoelasticity proposed by Biot assumes that the speed for heat transfer is infinite due to the inherent nature of the parabolic heat conduction model.…”

Section: Introductionmentioning

confidence: 99%

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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The role of spatial variation of the nonlocal parameter on the free vibration of functionally graded sandwich nanoplates

Cited by 69 publications

References 72 publications

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

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

Stochastic thermo-elastic vibration characteristics of functionally graded porous nano-beams using first-order perturbation-based nonlocal finite element model

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

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