Thermoelastic Damping in Nanomechanical Resonators Based on Two-Temperature Generalized Thermoelasticity Theory

Youssef, Hamdy M.; Alghamdi, Najat A.

doi:10.1080/01495739.2015.1073541

Cited by 39 publications

(35 citation statements)

References 14 publications

(33 reference statements)

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“…The linear DPL equation has been used in various theoretical studies [11][12][13]. Youssef applies the two-temperature heat conduction in many applications [14,15].…”

Section: Introductionmentioning

confidence: 99%

Three-dimensional biological tissue under high-order effect of two-temperature thermal lagging to thermal responses due to a laser irradiation

Youssef¹,

Alghamdi²

2019

Vib. proced.

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Using the lasers and heat transfer through biological skin tissue is essential for the processes of the medical treatment. Thus, two-temperature bio-heat transfer equations were introduced and used to discuss the variation of temperature in a laser-irradiated biological tissue. As a result, the Laplace and Fourier transform techniques have been applied, and the solutions of the conductive temperature have been represented in figures. The two-temperature parameter, the penetration depth parameter, the dimensions of the rectangular laser pulse, and the power density of laser irradiation parameter have significant effects on the thermal waves through the skin tissue.

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“…The linear DPL equation has been used in various theoretical studies [11][12][13]. Youssef applies the two-temperature heat conduction in many applications [14,15].…”

Section: Introductionmentioning

confidence: 99%

Three-dimensional biological tissue under high-order effect of two-temperature thermal lagging to thermal responses due to a laser irradiation

Youssef¹,

Alghamdi²

2019

Vib. proced.

Self Cite

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“…Now, the relationships between the variation of the thermoelastic damping with the beam height h , and the beam length in different values of the applied axial force F on the microbeam resonator, which is made of silicon and clamped at two ends, will be explored. Material properties of silicon (Si) have been taken as follows [10,30]:…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

Influence of the Static Pre-Stress in Micro-Viscothermoelastic Resonators Based on Dual-Phase-Lagging Heat Conduction

Alghamdi

Youssef

2020

Mathematical Problems in Engineering

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Thermal and mechanical relaxation times play vital roles in the values of the quality factor of micro/nanoresonators. They can control the energy dissipation across the coupling of mechanical and thermal behavior. In this paper, we introduce an analytical model that considers a pre-stress in a micro-viscothermoelastic resonator to modify the thermal and mechanical relaxation times and thus higher the quality factor. The impacts of length scale and static pre-stress on the quality factor have been discussed. The model expects that significant improvement in terms of quality factors is possible by tuning the pre-stress and the thermal and mechanical relaxation times parameters, and the isothermal value of frequency have significant effects on the thermal quality factor of the resonators.

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“…The results are accurate and agree with the results in previous studies. 9,[34][35][36] Conclusion A mathematical model of thermoelastic of an isotropic homogeneous, thermally conducting, Kelvin-Voigttype circular micro-plate in the context of Kirchhoff's Love plate theory of generalized viscothermoelasticity based on dual-phase-lagging has been constructed.…”

Section: Formulation Of the Problemmentioning

confidence: 99%

Vibration of circular micro-ceramic (Si₃N₄) plate resonators in the context of the generalized viscothermoelastic dual-phase-lagging theory

Alghamdi

2019

Advances in Mechanical Engineering

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In this article, the analysis and numerical results are represented for the thermoelastic of an isotropic homogeneous, thermally conducting, Kelvin-Voigt-type circular micro-plate in the context of Kirchhoff's Love plate theory of generalized viscothermoelasticity based on the dual-phase-lagging model. The governing equations are obtained for the generalized dual-phase-lagging model and coupled viscothermoelastic plates. The scaled viscothermoelasticity has been illustrated in the case of the circular plate and the axisymmetric circular plate for an aspect ratio for clamped boundary conditions. Laplace transform has been applied, and its inversions have been calculated numerically by using the Tzou method. The results have been carried out for the ceramic (Si 3 N 4 ). It is noted that the temperature increment and lateral deflection are significantly affected by the time, the width, the thickness, and the mechanical relaxation times of the material.

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Thermoelastic Damping in Nanomechanical Resonators Based on Two-Temperature Generalized Thermoelasticity Theory

Cited by 39 publications

References 14 publications

Three-dimensional biological tissue under high-order effect of two-temperature thermal lagging to thermal responses due to a laser irradiation

Three-dimensional biological tissue under high-order effect of two-temperature thermal lagging to thermal responses due to a laser irradiation

Influence of the Static Pre-Stress in Micro-Viscothermoelastic Resonators Based on Dual-Phase-Lagging Heat Conduction

Vibration of circular micro-ceramic (Si₃N₄) plate resonators in the context of the generalized viscothermoelastic dual-phase-lagging theory

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Thermoelastic Damping in Nanomechanical Resonators Based on Two-Temperature Generalized Thermoelasticity Theory

Cited by 39 publications

References 14 publications

Three-dimensional biological tissue under high-order effect of two-temperature thermal lagging to thermal responses due to a laser irradiation

Three-dimensional biological tissue under high-order effect of two-temperature thermal lagging to thermal responses due to a laser irradiation

Influence of the Static Pre-Stress in Micro-Viscothermoelastic Resonators Based on Dual-Phase-Lagging Heat Conduction

Vibration of circular micro-ceramic (Si3N4) plate resonators in the context of the generalized viscothermoelastic dual-phase-lagging theory

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Vibration of circular micro-ceramic (Si₃N₄) plate resonators in the context of the generalized viscothermoelastic dual-phase-lagging theory