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

Al-Hawary, Sulieman Ibraheem Shelash; Huamán-Romaní, Yersi-Luis; Sharma, M. K.; Kuaquira-Huallpa, Federico; Pant, Ruby; Romero-Parra, Rosario Mireya; Thabit, Daha; Gatea, M. Abdulfadhil; Zearah, Sajad Ali

doi:10.1007/s00419-023-02529-7

Arch Appl Mech

2024

DOI: 10.1007/s00419-023-02529-7

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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

Sulieman Ibraheem Shelash Al-Hawary,

Yersi-Luis Huamán-Romaní,

M. K. Sharma

et al.

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2024

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Cited by 3 publications

References 64 publications

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Thermoelastic damping in micro/nano-plate vibrations: 3D modeling using modified couple stress theory and the Moore–Gibson–Thompson equation

Mujasam Batoo,

Hussein,

Aziz

et al. 2024

Mech Time-Depend Mater

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Thermoelastic damping in micro/nano-plate vibrations: 3D modeling using modified couple stress theory and the Moore–Gibson–Thompson equation

Mujasam Batoo,

Hussein,

Aziz

et al. 2024

Mech Time-Depend Mater

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Thermoelastic Dissipation in Vibrations of Couple Stress-Based Circular Cross-sectional Beams with Nonlocal Single-Phase-Lag Heat Conduction

Breesam,

Abdullaev,

Althomali

et al. 2024

J. Vib. Eng. Technol.

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Size-dependent thermoelastic damping model for vibrating circular cross-sectional micro/nanobeams according to Moore-Gibson-Thompson thermoelasticity theory

Widatalla

2024

Phys. Scr.

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Motivated by the limitations of classical models in capturing the behavior of materials at the micro/nanoscales, this work proposes an analytical formulation for thermoelastic damping (TED) in circular cross-sectional micro/nanobeams with size-dependent mechanics and heat transfer. This model incorporates small-scale effect through the modified couple stress theory (MCST) for mechanics and the Moore-Gibson-Thompson (MGT) model for heat conduction. To accomplish this objective, the initial step involves introducing the general equations of the MCST and MGT model. Following the establishment of the MGT model, the temperature variations throughout the beam are obtained by solving the heat equation. Additionally, by implementing the principles of the MCST, the model incorporates size-dependent constitutive relations. Finally, the research employs the energy dissipation (ED) approach to render a mathematical expression for TED in tiny beams with circular cross section. This relation, expressed as an infinite series, accounts for size-dependent effects by incorporating the MCST and MGT model. In the section dedicated to numerical results, the initial step involves verifying the accuracy of the proposed model through a validation study. Next, the section showcases various numerical results, focusing on how the MCST and MGT model affect the temperature distribution and TED value. The acquired results underscore that the influence of the MCST and MGT model on the amount of TED in small-sized circular cross-sectional beams cannot be disregarded.

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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

Cited by 3 publications

References 64 publications

Thermoelastic damping in micro/nano-plate vibrations: 3D modeling using modified couple stress theory and the Moore–Gibson–Thompson equation

Thermoelastic damping in micro/nano-plate vibrations: 3D modeling using modified couple stress theory and the Moore–Gibson–Thompson equation

Thermoelastic Dissipation in Vibrations of Couple Stress-Based Circular Cross-sectional Beams with Nonlocal Single-Phase-Lag Heat Conduction

Size-dependent thermoelastic damping model for vibrating circular cross-sectional micro/nanobeams according to Moore-Gibson-Thompson thermoelasticity theory

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