Single-phase-lag thermoelastic damping models for rectangular cross-sectional micro- and nano-ring resonators

Zhou, Hongyue; Li, Pu; Fang, Yuming

doi:10.1016/j.ijmecsci.2019.105132

Cited by 37 publications

(8 citation statements)

References 44 publications

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“…Table 4 shows the expressions of the normalized TEDs for classifications of models and cross-sections. Although, the forms of the equations obtained from beams with rectangular- (Zhou and Li 2017), circular- (Zhou et al 2018) cross-section, and the ring with rectangular-cross-section (Zhou et al 2019) are much similar to the result of the toroidal ring, but the factors c and b 1q in the calculation are different from existing models. Additionally, there is straight temperature distribution in a rectangular-cross-sectional structure (Wong et al 2004), thus the z-direction can be neglected.…”

Section: Asymptotic Lines For Normalized Frequency and Quality Factormentioning

confidence: 82%

“…Furthermore, the increasing values of each q th order are different due to the properties of circular section in terms of Bessel function. In all cases, more energy losses in 3D than 2D models are observed because the TED of circumferential direction is similarly considered the rectangular-cross-sectional ring with 1D and 2D models (Zhou et al 2019).…”

Section: Toroidal Ring Model Considering Splmentioning

confidence: 98%

“…Also, delay of the flux is much larger than that of temperature gradient, thus the phase-lagging is considered only into the flux vector. Furthermore, the temperature profile according to local z-axis as well as x-axis and circumferential direction should be considered because the boundary conditions are different from rectangular cross-section (Zhou et al 2019). Thus, the 2D expression in Zhou et al (2019) is not valid in this work, therefore the 3D modeling of the TED is suitable for the toroidal ring.…”

Section: Non-fourier Heat Conduction In 3-dimensional Modelmentioning

confidence: 99%

“…To identify the validity and the trend of the model, Table 5 compares the experimental data (Wong et al 2004) using COMSOL FEM and analytical form of the rectangular-crosssectional ring model. (Zhou et al 2019) The expression of Q for the structure can be obtained by replacing c and b 1q from the toroidal ring in Table 4. Furthermore, the values of the 2D model are a little closer to the experimental and FEM data than 1D as shown in Table 5, thus the present work can be valid to apply into the toroidal ring model.…”

Section: Toroidal Ring Model Considering Splmentioning

confidence: 99%

“…Also, (Zhou and Li 2017) predicted the more accurate characteristics in micro/nano-beams with the TED based on the non-Fourier heat conduction theory. Zhou et al organized the estimations of the dissipation of the beam with circular- (Zhou et al 2018) and ring with rectangular- (Zhou et al 2019) cross-sections, respectively. Moreover, (Kim and Kim 2019) extended the analysis of the dissipation for the cylindrical shell model with the lagging of the heat flux through the thickness direction.…”

Section: Introductionmentioning

confidence: 99%

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Thermoelastic attenuation of circular-cross-sectional micro/nanoring including single-phase-lag time

Kim

2021

Int J Mech Mater Des

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In this work, the thermoelastic dissipation (TED) for circular-cross-sectional micro/nanoring model is studied including the single-phase-lag (SPL) time based on the non-Fourier heat conduction model. The toroidal solid ring is simple to manufacture and thus the potential is high for future development. Also, the present model is more precise than the 1D or 2D beam or rectangular-cross-sectional ring because the governing equation is established by 3D coordinate system. Moreover, the SPL shows the delay time of heat-flux and is especially important in cryogenic or ultrafast-vibration environments. In this regard, characteristics of the TED is mainly analyzed according to the lagging time, geometrical shape, mode number and temperature, etc. Using the experimental data in literatures, the effectiveness of this work is verified to represent the investigations. The spectra of the TED with the phenomenon of multiple peaks are presented, and then the results can be grouped and compared with previous works. Moreover, the temperature distribution is graphically described to explain the SPL mechanism.

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Section: Asymptotic Lines For Normalized Frequency and Quality Factormentioning

confidence: 82%

Section: Toroidal Ring Model Considering Splmentioning

confidence: 98%

Section: Non-fourier Heat Conduction In 3-dimensional Modelmentioning

confidence: 99%

Section: Toroidal Ring Model Considering Splmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Thermoelastic attenuation of circular-cross-sectional micro/nanoring including single-phase-lag time

Kim

2021

Int J Mech Mater Des

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Non-Fourier thermoelastic damping in small-sized ring resonators with circular cross section according to Moore–Gibson–Thompson generalized thermoelasticity theory

Al-Hawary,

Huamán-Romaní,

Sharma

et al. 2024

Arch Appl Mech

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A thermodynamics-consistent spatiotemporally-nonlocal model for microstructure-dependent heat conduction

Zhang,

Nie,

Mao

et al. 2024

Appl. Math. Mech.-Engl. Ed.

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The spatiotemporally-nonlocal phenomena in heat conduction become significant but challenging for metamaterials with artificial microstructures. However, the microstructure-dependent heat conduction phenomena are captured under the hypothesis of spatiotemporally local equilibrium. To capture the microstructure-dependent heat conduction phenomena, a generalized nonlocal irreversible thermodynamics is proposed by removing both the temporally-local and spatially-local equilibrium hypotheses from the classical irreversible thermodynamics. The generalized nonlocal irreversible thermodynamics has intrinsic length and time parameters and thus can provide a thermodynamics basis for the spatiotemporally-nonlocal law of heat conduction. To remove the temporally-local equilibrium hypothesis, the generalized entropy is assumed to depend not only on the internal energy but also on its first-order and high-order time derivatives. To remove the spatially local equilibrium hypothesis, the thermodynamics flux field in the dissipation function is assumed to relate not only to the thermodynamics force at the reference point but also to the thermodynamics force of the neighboring points. With the developed theoretical framework, the thermodynamics-consistent spatiotemporally-nonlocal models can then be developed for heat transfer problems. Two examples are provided to illustrate the applications of steady-state and transient heat conduction problems.

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Single-phase-lag thermoelastic damping models for rectangular cross-sectional micro- and nano-ring resonators

Cited by 37 publications

References 44 publications

Thermoelastic attenuation of circular-cross-sectional micro/nanoring including single-phase-lag time

Thermoelastic attenuation of circular-cross-sectional micro/nanoring including single-phase-lag time

Non-Fourier thermoelastic damping in small-sized ring resonators with circular cross section according to Moore–Gibson–Thompson generalized thermoelasticity theory

A thermodynamics-consistent spatiotemporally-nonlocal model for microstructure-dependent heat conduction

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